OSNOVEN PROEKT ZA IZGRADBA NA VE[TA^KA KARPA ZA KA^UVAWE

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1 Snezha na Jovesk a Digitally signed by Snezhana Joveska DN: cn=snezhana Joveska gn=snezhana c=mk o=es-inzenering DOOEL e=es_ing@yahoo.com Reason: I am the author of this document Location: Date: :49+02:00 Digitally signed by ALEKSANDAR ARNAUDOV Date: :49+02:00 OSNOVEN PROEKT ZA IZGRADBA NA VE[TA^KA KARPA ZA KA^UVAWE!"#$%&%'(:)*+%&!,-.(/+#"' )01#2%:- 34(,50,-!,-"#+%,62,-2,(*,-3,-2,6/",7# 8#$%': 9*'(%$2,-$,;,-.(/+#"' Teh.br.44/2018 Digitally signed by Daniela Ilieska DN: cn=daniela Ilieska c=mk o=makedonski Telekom ou=geniko DOO Prilep: Reason: I am the author of this document Location: Date: :28+02:00 GENIKO Direktor: Digitally signed by Mile Stojkoski o=makedonski Telekom ou=geniko DOO Prilep Mile Stojkoski : DN: cn=mile Stojkoski c=mk Reason: I am the author of this document Location: Date: :47+02:00 </!& =>?@-4'5A

2 PRILEP Ul. Andon Slabejko br tel. )01#2%:- 34(,50,-!,-"#+%,62,-2,(*,-3,-2,6/",7# 8#$%':9*'(%$2,-$,;,-.(/+#"' PROEKTANTI: 54&-B,!&#;,- ;&#$2, Location: Digitally signed by Daniela Ilieska DN: cn=daniela Ilieska c=mk o=makedonski Telekom ou=geniko DOO Prilep: Reason: I am the author of this document Date: :27+02:00 DIREKTOR: Digitally signed by Mile Stojkoski DN: cn=mile Stojkoski c=mk o=makedonski Telekom ou=geniko DOO Prilep Mile Stojkoski : Reason: I am the author of this document Location: Date: :55+02:00

3 OP[T DEL

4 NA PROEKTOT OP[T DEL - Naslovna strana; - Sodr`ina; - Re{enie od centralen registar - Licenca od firma - Re{enie za proektanti - Ovlastuvawe na proektantite PROEKTEN DEL!"#$%&'()'&*+!,)+-.$&(/!'$)+-

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7 Soglasno na Zakonot za gradewe,..slu`ben vesnik na Republika Makedonija.. br.130/09, br.124/10, br.18/11, br.36/11, br.54/11, br.13/12, br.144/12, br.25/13, br.79/13, br137/13, br.163/13, br.27/14, br.28/14, br.42/14, br.115/14, br149/14 br.187/14, br.44/15, br.129/15, br.226/15, br.30/16, br.31/16 i br.39/16 go donesuvam slednoto: R E [ E N I E za odreduvawe na odgovorni proektanti za izrabotka na tehni~ka dokumentacija OSNOVEN PROEKT ZA CDEFBGF-HF-IJKLFM.F-.FENF-CF-.FMOIFPJ invstitor:)*+%&!,-.(/+#"'!"#$%&'()'&*+!,)+-.$&( PROEKT " " 1.DD B,!&#;,- ;&#$2, ovlast."f" br Obrazlo`enie Vrz osnova na odredbite od Zakonot za gradewe..slu`ben vesnik na Republika Makedonija.. br.130/09, br.124/10, br.18/11, br.36/11, br.54/11, br.13/12, br.144/12, br.25/13, br.79/13, br137/13, br.163/13, br.27/14, br.28/14, br.42/14, br.115/14, br149/14 br.187/14, br.44/15, br.129/15, br.226/15, br.30/16, br.31/16 i br.39/16 gore spomenatite lica gi zadovoluvaat potrebnite kriteriumi, odnosno imaat ovlastuvawa za proektirawe na vakov vid na objekti. GENIKO DOO Prilep Direktor Mile Stojkoski Digitally signed by Mile Stojkoski DN: cn=mile Stojkoski c=mk o=makedonski Telekom ou=geniko DOO Prilep : Reason: I am the author of this document Location: Date: :55+02:00

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9 PROEKTEN DEL

10 Tehni~ki izve{taj Ortogonalen 3D izgled Analiza na tovari Stati~ka presmetka so kofra`ni planovi Armaturni detali ^eli~na konstrukcija Specifikacija na armatura

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14 ANALIZA NA TOVARI I POSTOJANI TOVARI - Postojani tovari te`ina na 1m2 od pokrivna konstrukcija 0,50 KN/m 2 II PROMENLIVI TOVARI Vkupno q = 0,50 KN/m 2 - Promenliv tovar p = 3,00 KN/m 2 podvi`en tovar od sportist IV SNEG Sneg: NV=1350m s=75+( )/4=2.75 KN/m 2 IV VETAR Vetar: za prose~na visina na objekt H=10m za II zona - neza{titen W = 0,70 KN/m2 W = 0.4*0.7=0.28 KN/m2 W = 0.8*0.7=0.56 KN/m2

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16 Sadrzaj Osnovni podaci o modelu 2 Ulazni podaci Ulazni podaci - Konstrukcija 3 Ulazni podaci - Opterecenje 11 Rezultati Modalna analiza 25 Seizmicki proracun 26 Staticki proracun 27 Dimenzionisanje (celik) 63

17 Osnovni podaci o modelu Datoteka: KARPA1.twp Datum proracuna: Nacin proracuna: 3D model X Teorija I-og reda X Modalna analiza Stabilnost Teorija II-og reda X Seizmicki proracun Faze gradjenja Nelinearan proracun Velicina modela Broj cvorova: 44 Broj plocastih elemenata: 0 Broj grednih elemenata: 105 Broj granicnih elemenata: 24 Broj osnovnih slucajeva opterecenja: 7 Broj kombinacija opterecenja: 36 Jedinice mera Duzina: Sila: Temperatura: m [cm,mm] kn Celsius

18 Ulazni podaci - Konstrukcija Izometrija

19 Sema nivoa!"# z [m] h [m] vrv !"# z [m] h [m] 0.00 Koordinate cvorova No X [m] Y [m] Z [m] No X [m] Y [m] Z [m] No X [m] Y [m] Z [m] Tabela materijala No Naziv materijala E[kN/m2] µ γ[kn/m3] αt[1/c] Em[kN/m2] µm 1 $eliku 2.100e e e Betoni MB e e e Setovi 2 Presek: IPE 180, Fiktivna ekscentricnost Mat. A1 A2 A3 I1 I2 I3 1 - $eliku 2.390e e e e e e T 0.53 %= Presek: HOP [] 50x50x3, Fiktivna ekscentricnost Mat. A1 A2 A3 I1 I2 I $eliku 5.410e e e e e e-7 5 T Presek: HOP [] 80x80x4, Fiktivna ekscentricnost Mat. A1 A2 A3 I1 I2 I $eliku 1.175e e e e e e-6 8 T Presek: 2xL 80x80x8, Fiktivna ekscentricnost Mat. A1 A2 A3 I1 I2 I $eliku 2.460e e e e e e-6 &2 T2 T T1 3 No Presek 3 [cm] 2 [cm] α Mat. 1 L 80x80x L 80x80x & T L 80x80x8 [cm]

20 6 Presek: HOP [] 80x80x4, Fiktivna ekscentricnost Mat. A1 A2 A3 I1 I2 I !eliku 1.175e e e e e e-6 8 T Presek: b/d=40/40, Fiktivna ekscentricnost Mat. A1 A2 A3 I1 I2 I Betoni MB e e e e e e T 40 [cm] Setovi tackastih oslonaca K,R1 K,R2 K,R3 K,M1 K,M2 K,M e e e e e e+10 Konture 2. IPE 180 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture 3. HOP [] 50x50x3 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture 4. HOP [] 80x80x4 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T

21 Konture greda 4. HOP [] 80x80x4 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture 5. 2xL 80x80x8 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture 6. HOP [] 80x80x4 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture 8. b/d=40/40 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture tackastih oslonaca 1, 4, 5, 13 1

22 Ravan: platofmra Dispozicija ramova

23 Ram: H_2 Ram: V_1

24 Ram: V_2 Ram: V_4

25 Ram: V_5 Pogled: platofmra

26 Ulazni podaci - Opterecenje Lista slucajeva opterecenja No!"# 1 postojan (g) 2 promenliv 3 sneg 4 t1 5 t2 6 Sx 7 Sy 8 $%"&.: I 9 $%"&.: I+II 10 $%"&.: I+III 11 $%"&.: I+II+III 12 $%"&.: I+IV 13 $%"&.: I+II+IV 14 $%"&.: I+III+IV 15 $%"&.: I+II+III+IV 16 $%"&.: I+V 17 $%"&.: I+II+V 18 $%"&.: I+III+V 19 $%"&.: I+II+III+V 20 $%"&.: I+VI 21 $%"&.: I+II+VI 22 $%"&.: I+III+VI Opt. 1: postojan (g) No!"# 23 $%"&.: I+II+III+VI 24 $%"&.: I+IV+VI 25 $%"&.: I+II+IV+VI 26 $%"&.: I+III+IV+VI 27 $%"&.: I+II+III+IV+VI 28 $%"&.: I+V+VI 29 $%"&.: I+II+V+VI 30 $%"&.: I+III+V+VI 31 $%"&.: I+II+III+V+VI 32 $%"&.: I+VII 33 $%"&.: I+II+VII 34 $%"&.: I+III+VII 35 $%"&.: I+II+III+VII 36 $%"&.: I+IV+VII 37 $%"&.: I+II+IV+VII 38 $%"&.: I+III+IV+VII 39 $%"&.: I+II+III+IV+VII 40 $%"&.: I+V+VII 41 $%"&.: I+II+V+VII 42 $%"&.: I+III+V+VII 43 $%"&.: I+II+III+V+VII Ram: H_2

27 Opt. 1: postojan (g) Ram: V_1 Opt. 1: postojan (g) Ram: V_2

28 Opt. 1: postojan (g) Ram: V_4 Opt. 1: postojan (g) Ram: V_5

29 Opt. 1: postojan (g) Pogled: platofmra Opt. 2: promenliv Ram: H_2

30 Opt. 2: promenliv Pogled: platofmra Opt. 3: sneg Ram: V_1

31 Opt. 3: sneg Ram: V_2 Opt. 3: sneg Ram: V_4

32 Opt. 3: sneg Ram: V_5 Opt. 4: t1 Nivo: vrv [7.90 m]

33 Opt. 4: t1 Ram: H_2 Opt. 4: t1 Ram: V_1

34 Opt. 4: t1 Ram: V_2 Opt. 4: t1 Ram: V_4

35 Opt. 4: t1 Ram: V_5 Opt. 4: t1 Pogled: platofmra

36 Opt. 5: t2 Nivo: vrv [7.90 m] Opt. 5: t2 Ram: H_2

37 Opt. 5: t2 Ram: V_1 Opt. 5: t2 Ram: V_2

38 Opt. 5: t2 Ram: V_4 Opt. 5: t2 Ram: V_5

39 Opt. 5: t2 Pogled: platofmra

40 Modalna analiza Napredne opcije seizmickog proracuna: Spreceno oscilovanje u Z pravcu Faktori opterecenja za proracun masa No!"# $%#&'('#)* 1 postojan +g, promenliv sneg t t Raspored masa po visini objekta Nivo Z [m] X [m] Y [m] Masa [T] T/m2 vrv Ukupno: Polozaj centara krutosti po visini objekta Nivo Z [m] X [m] Y [m] vrv Ekscentricitet po visini objekta Nivo Z [m] eox [m] eoy [m] vrv Periodi oscilovanja konstrukcije No T [s] f [Hz]

41 Seizmicki proracun Seizmicki proracun: JUS +Ekvivalentno staticko opterecenje, Kategorija tla: II Seizmicka zona: VIII +Ks = 0.050, Kategorija objekta: II Vrsta konstrukcije: 1 Kota ukljestenja: Zd = 0.00 m Ugao dejstva zemljotresa:!"# T [sec] α [ ] Sx Sy Raspored seizmickih sila po visini objekta +Sx, Nivo Z [m] S [kn] vrv Σ= 5.22 Raspored seizmickih sila po visini objekta +Sy, Nivo Z [m] S [kn] vrv Σ= 3.17 Raspored masa po visini objekta Nivo Z [m] X [m] Y [m] Masa [T] T/m2 vrv Ukupno:

42 Opt. 1: postojan +g, Staticki proracun Ram: H_2 Uticaji u gredi: max N1= 1.62 / min N1= kn Opt. 1: postojan +g, Ram: V_1 Uticaji u gredi: max N1= 1.46 / min N1= kn

43 Opt. 1: postojan +g, Ram: V_2 Uticaji u gredi: max N1= 1.62 / min N1= kn Opt. 1: postojan +g, Ram: V_4 Uticaji u gredi: max N1= 1.62 / min N1= kn

44 Opt. 1: postojan +g, Ram: V_5 Uticaji u gredi: max N1= 1.46 / min N1= kn Opt. 1: postojan +g, Pogled: platofmra Uticaji u gredi: max N1= 0.24 / min N1= kn

45 Opt. 2: promenliv Ram: H_2 Uticaji u gredi: max N1= / min N1= kn Opt. 2: promenliv Ram: V_1 Uticaji u gredi: max N1= / min N1= kn

46 Opt. 2: promenliv Ram: V_2 Uticaji u gredi: max N1= / min N1= kn Opt. 2: promenliv Ram: V_4 Uticaji u gredi: max N1= / min N1= kn

47 Opt. 2: promenliv Ram: V_5 Uticaji u gredi: max N1= / min N1= kn Opt. 2: promenliv Pogled: platofmra Uticaji u gredi: max N1= 1.16 / min N1= kn

48 Opt. 6: Sx Ram: H_2 Uticaji u gredi: max N1= / min N1= kn Opt. 6: Sx Ram: V_1 Uticaji u gredi: max N1= 2.77 / min N1= kn

49 Opt. 6: Sx Ram: V_2 Uticaji u gredi: max N1= / min N1= kn Opt. 6: Sx Ram: V_4 Uticaji u gredi: max N1= 1.31 / min N1= kn

50 Opt. 6: Sx Ram: V_5 Uticaji u gredi: max N1= 0.20 / min N1= kn Opt. 6: Sx Pogled: platofmra Uticaji u gredi: max N1= 5.62 / min N1= kn

51 Opt. 7: Sy Ram: H_2 Uticaji u gredi: max N1= / min N1= kn Opt. 7: Sy Ram: V_1 Uticaji u gredi: max N1= / min N1= kn

52 Opt. 7: Sy Ram: V_2 Uticaji u gredi: max N1= / min N1= kn Opt. 7: Sy Ram: V_4 Uticaji u gredi: max N1= / min N1= kn

53 Opt. 7: Sy Ram: V_5 Uticaji u gredi: max N1= / min N1= kn Opt. 7: Sy Pogled: platofmra Uticaji u gredi: max N1= 0.01 / min N1= kn

54 Opt. 1: postojan +g, Ram: H_2 Uticaji u gredi: max T2= 5.65 / min T2= kn Opt. 1: postojan +g, Ram: V_1 Uticaji u gredi: max T2= 0.93 / min T2= kn

55 Opt. 1: postojan +g, Ram: V_2 Uticaji u gredi: max T2= 0.72 / min T2= kn Opt. 1: postojan +g, Ram: V_4 Uticaji u gredi: max T2= 0.72 / min T2= kn

56 Opt. 1: postojan +g, Ram: V_5 Uticaji u gredi: max T2= 0.93 / min T2= kn Opt. 1: postojan +g, Pogled: platofmra Uticaji u gredi: max T2= 5.65 / min T2= kn

57 Opt. 2: promenliv Ram: H_2 Uticaji u gredi: max T2= 3.88 / min T2= kn Opt. 2: promenliv Ram: V_1 Uticaji u gredi: max T2= 2.16 / min T2= kn

58 Opt. 2: promenliv Ram: V_2 Uticaji u gredi: max T2= 1.74 / min T2= kn Opt. 2: promenliv Ram: V_4 Uticaji u gredi: max T2= 1.74 / min T2= kn

59 Opt. 2: promenliv Ram: V_5 Uticaji u gredi: max T2= 2.16 / min T2= kn Opt. 2: promenliv Pogled: platofmra Uticaji u gredi: max T2= 6.98 / min T2= kn

60 Opt. 6: Sx Ram: H_2 Uticaji u gredi: max T2= 5.06 / min T2= kn Opt. 6: Sx Ram: V_1 Uticaji u gredi: max T2= 0.73 / min T2= kn

61 Opt. 6: Sx Ram: V_2 Uticaji u gredi: max T2= 0.60 / min T2= kn Opt. 6: Sx Ram: V_4 Uticaji u gredi: max T2= 0.04 / min T2= kn

62 Opt. 6: Sx Ram: V_5 Uticaji u gredi: max T2= 0.00 / min T2= kn Opt. 6: Sx Pogled: platofmra Uticaji u gredi: max T2= 4.76 / min T2= kn

63 Opt. 7: Sy Ram: H_2 Uticaji u gredi: max T2= 0.00 / min T2= kn Opt. 7: Sy Ram: V_1 Uticaji u gredi: max T2= 2.89 / min T2= kn

64 Opt. 7: Sy Ram: V_2 Uticaji u gredi: max T2= 2.89 / min T2= kn Opt. 7: Sy Ram: V_4 Uticaji u gredi: max T2= 2.89 / min T2= kn

65 Opt. 7: Sy Ram: V_5 Uticaji u gredi: max T2= 2.89 / min T2= kn Opt. 1: postojan +g, Ram: H_2 Uticaji u gredi: max M3= 1.04 / min M3= knm

66 Opt. 1: postojan +g, Ram: V_1 Uticaji u gredi: max M3= 0.12 / min M3= knm Opt. 1: postojan +g, Ram: V_2 Uticaji u gredi: max M3= 0.11 / min M3= knm

67 Opt. 1: postojan +g, Ram: V_4 Uticaji u gredi: max M3= 0.11 / min M3= knm Opt. 1: postojan +g, Ram: V_5 Uticaji u gredi: max M3= 0.12 / min M3= knm

68 Opt. 1: postojan +g, Pogled: platofmra Uticaji u gredi: max M3= 1.04 / min M3= knm Opt. 2: promenliv Ram: H_2 Uticaji u gredi: max M3= 0.71 / min M3= knm

69 Opt. 2: promenliv Ram: V_1 Uticaji u gredi: max M3= 0.43 / min M3= knm Opt. 2: promenliv Ram: V_2 Uticaji u gredi: max M3= 0.34 / min M3= knm

70 Opt. 2: promenliv Ram: V_4 Uticaji u gredi: max M3= 0.34 / min M3= knm Opt. 2: promenliv Ram: V_5 Uticaji u gredi: max M3= 0.43 / min M3= knm

71 Opt. 2: promenliv Pogled: platofmra Uticaji u gredi: max M3= 1.67 / min M3= knm Opt. 6: Sx Ram: H_2 Uticaji u gredi: max M3= 0.77 / min M3= knm

72 Opt. 6: Sx Ram: V_1 Uticaji u gredi: max M3= 0.66 / min M3= knm Opt. 6: Sx Ram: V_2 Uticaji u gredi: max M3= 0.77 / min M3= knm

73 Opt. 6: Sx Ram: V_4 Uticaji u gredi: max M3= 0.77 / min M3= knm Opt. 6: Sx Ram: V_5 Uticaji u gredi: max M3= 0.66 / min M3= knm

74 Opt. 6: Sx Pogled: platofmra Uticaji u gredi: max M3= 1.01 / min M3= knm Opt. 7: Sy Ram: H_2 Uticaji u gredi: max M3= 0.00 / min M3= knm

75 Opt. 7: Sy Ram: V_1 Uticaji u gredi: max M3= 0.37 / min M3= knm Opt. 7: Sy Ram: V_2 Uticaji u gredi: max M3= 0.37 / min M3= knm

76 Opt. 7: Sy Ram: V_4 Uticaji u gredi: max M3= 0.37 / min M3= knm Opt. 7: Sy Ram: V_5 Uticaji u gredi: max M3= 0.37 / min M3= knm

77 Opt. 7: Sy Pogled: platofmra Uticaji u gredi: max M3= 0.10 / min M3= knm

78 Dimenzionisanje (celik) Ram: H_2 Kontrola napona Ram: V_1 Kontrola napona

79 Ram: V_2 Kontrola napona Ram: V_4 Kontrola napona

80 Ram: V_5 Kontrola napona Pogled: platofmra Kontrola napona

81 Ram: H_2 Kontrola stabilnosti Ram: V_1 Kontrola stabilnosti

82 Ram: V_2 Kontrola stabilnosti Ram: V_4 Kontrola stabilnosti

83 Ram: V_5 Kontrola stabilnosti Pogled: platofmra Kontrola stabilnosti

84 STAP ;>?B?$: IPE 180 C2CJUS D?<G?L>!B$! $Q>Q$L?>!BL!$! AQ ;>?B?$<L y 8 T 5.3 z [m m ] Wx = cm2 Wy = cm2 Wz = cm2 Iz = cm4 Iy = cm4 Ix = cm4 \z = cm3 \y = cm3 < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 Контрола на напонот: W <= W_u ^Q$L<>! AQ!B$<>!BL?A<BL ;< $<G`!AQq!wQ AQ <;L<{Q> {Q}Q 17. ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~=0.01 $<AL>< Q AQ?^<>GQq!! G ƒ '" #) 'ˆ ) * %* u = mm + Š ) % *%Œ Œ Ž# 39 %Š#*%ƒ ) * %*, AQ <;L<{Q> {Q}?: 19 ^Q$L<> AQ B!D >A<BL : 1.33 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq +ƒ ) * %*, ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm %. ) ' Œ'Œ. %ƒ% z % ƒ li z = cm %. ) ' Œ'Œ. %ƒ% y % ƒ li y = cm $ 'Œ ) ' Œ'Œ Ž z % ƒ Q $ 'Œ ) ' Œ'Œ Ž# y % ƒ BLQ;! <?A AQ ;>!L!B<$! B<{!L$ {Q}? $<AL>< Q AQ BLQ`.;>!?$Bq. ;>!L!B<$ GUS U.E7.096 > ' ) ')# (' i z = cm > ' ) ')# (' i y = cm {'*ƒ% * λz = {'*ƒ% * λy = ># *'Œ) Œ'*ƒ% * λ z = ># *'Œ) Œ'*ƒ% * λ y = ># *'Œ#) ) %) σ = $%#&. Œ' #) % %ˆ 'ƒ%* ) Mz β = `# '"#) '%) #) ƒ%#&'('#)* κ z = `# '"#) '%) #) ƒ%#&'('#)* κ y = $%#&'('#)* % #" Œ Ž# ) Œ ' )' * Kmz = $%#&'('#)* % #" Œ Ž# ) Œ ' )' * Kmy = { '. ) Œƒ ) * '" # &#ƒ(' ) * %* Knz = { '. ) Œƒ ) * '" # &#ƒ(' ) * %* Kny = Œ%#) ƒ%#&. % #". ) Œ ' )' * Kmz = Œ%#) ƒ%#&. % #". ) Œ ' )' * Kmy = Œ%#)% Œ ' )'# ) Œƒ. '" # &#ƒ(' Kn = $%#&. % #" Œ Ž# ) Œ '. % ˆ. '. θ = A% " #) ) %) % N σ+n, = kn/cm2 A% " #) ) %) % Mz σ+mz, = kn/cm2 A% " #) ) %) % My σ+my, = kn/cm2 G ƒ '" #) ) %) σ_max = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V_max <= V_doz $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E ; %Œ# ƒ ) ' ˆ%Š Œ Ž# ) #ˆ %*% ) I # #ƒ%* '"#) '' ) '"%* a/b/t = 146/16.4/0.53 +cm, A Š') ) % %) Œ Ž# Q < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E ; %Œ# ƒ ) ' ˆ%Š Œ Ž# ) )% '( * ) I # #ƒ%* + #Œ%- % #, '"#) '' ) '"%* a/b/t = 146/4.55/0.8 +cm, A Š') ) % %) Œ Ž# ` < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E ; %Œ# ƒ ) ' ˆ%Š Œ Ž# ) )% '( * ) I # #ƒ%* + # )%- % #, '"#) '' ) '"%* a/b/t = 146/4.55/0.8 +cm, A Š') ) % %) Œ Ž# ` < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2

85 Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 AQ <;L<{Q> {Q}?: 26 ^Q$L<> AQ B!D >A<BL : 1.20 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq + %Š#*%ƒ ) * %*, $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E ; %Œ# ƒ ) ' ˆ%Š Œ Ž# ) )% '( * ) I # #ƒ%* + # )%-- % #, '"#) '' ) '"%* a/b/t = 146/4.55/0.8 +cm, A Š') ) % %) Œ Ž# ` < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 $<AL>< Q AQ B;<>? `?A AQ;<A A% " #) ) %) σ = kn/cm2 A %) ) "% ƒ) Œ Ž# τ = kn/cm2 G ƒ '" #) % # ˆ#) ) %) σ up = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V,up V_dop ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm A %) ) "% ƒ) Œ Ž# τ = kn/cm2 % Œ% #) ) %) ) "% ƒ) Œ Ž# τ_doz = kn/cm2 Контрола на напонот: W <= W_doz AQ <;L<{Q> {Q}?: 18 ^Q$L<> AQ B!D >A<BL : 1.33 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq +) 62.6 cm % %Š#*%ƒ%* ) * %*, ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm $<AL>< Q AQ BLQ`! A<BLQ `<@A<! {!{Q}? GUS U.E7.101 $%)* % ) * ˆ. ) '*. % I+ % #, $%#&. Œ' #) % %ˆ 'ƒ%* ) Mz η = > *% )'# ) Œ' ƒ *'*# %* % ' _vil.. = cm > *% )'# ) ˆ%Š)% ' )' *%Šƒ' _boc. = cm % ') ) '*' ) * %) _prit. = cm Œ. *% )'# ) ˆ%Š)% )# %"# * 'Œ' *%Šƒ' _boc. = cm > ' ) ')# (' ) '*. %) i_prit = cm ^ ƒ*% ) *'Š)% * ) # #ƒ%* αp = {'*ƒ% * ) '*' ) *'%* # λ_ky = L% '%) %* % )% * ) # #ƒ%* σ_vd = kn/cm2 <* % )% * ) # ) (' ) # #ƒ%* σ_ d = kn/cm2 ;% % ˆ ) ) Œ% # )%*% % *%Œ Œ Ž# B>?!AQ $%#&. Œ' #) % %ˆ 'ƒ%* ) Mz ρ = ^ ƒ*% Œ' #) % % % ˆ * ) % *. FI = $ '*'Š#) ) %) ˆ%Š)% ' Œ'Œ Ž# σ_crd = kn/cm2 {'*ƒ% * λ d = `# '"#) '%) #) ƒ%#&. ˆ. '. κ_m = D )'Š#) ) %) ) ' Œ'Œ Ž# σ_d = kn/cm2 {' *') ƒ' ) %) σ_vis= kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V_vis <= V_doz STAP ;<;>?@?A ;>?B?$: 2 80x80x8 C2CJUS D?<G?L>!B$! $Q>Q$L?>!BL!$! AQ ;>?B?$<L 42. ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~=0.05 $<AL>< Q AQ?^<>GQq!! y Wx = Wy = Wz = Iz = Iy = Ix = cm cm cm cm cm cm4 G ƒ '" #) 'ˆ ) * %* u = mm + Š ) % *%Œ Œ Ž# 39 %Š#*%ƒ ) * %*, AQ <;L<{Q> {Q}?: 29 ^Q$L<> AQ B!D >A<BL : 1.20 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq +ƒ ) * %*, T z ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm BLQ;! <?A AQ QL?DA {Q}?! B<{!L$ {Q}? >.ˆ.!"# zt+mm, yt+mm, % 1. 80x80x x80x ^Q$L<>! AQ!B$<>!BL?A<BL ;< $<G`!AQq!wQ AQ <;L<{Q> {Q}Q 29. ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~=0.17 A% " #) ) %) σ_max = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V_max <= V_doz $<AL>< Q AQ B;<>? `?A AQ;<A A% " #) ) %) σ = kn/cm2 A %) ) "% ƒ) Œ Ž# τ = kn/cm2 G ƒ '" #) % # ˆ#) ) %) σ up = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V,up V_dop

86 STAP ;>?B?$: HOP [] 80x80x4 C2CJUS D?<G?L>!B$! $Q>Q$L?>!BL!$! AQ ;>?B?$<L 8 0 T 8 0 y 4 z [m m ] Wx = cm2 Wy = cm2 Wz = cm2 Iz = cm4 Iy = cm4 Ix = cm4 \z = cm3 \y = cm3 ^Q$L<>! AQ!B$<>!BL?A<BL ;< $<G`!AQq!wQ AQ <;L<{Q> {Q}Q 29. ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~=0.01 $<AL>< Q AQ?^<>GQq!! G ƒ '" #) 'ˆ ) * %* u = mm + Š ) % *%Œ Œ Ž# 39 ƒ ) * %*, AQ <;L<{Q> {Q}?: 31 ^Q$L<> AQ B!D >A<BL : 1.20 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq + %Š#*%ƒ ) * %*, ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm %. ) ' Œ'Œ. %ƒ% z % ƒ li z = cm %. ) ' Œ'Œ. %ƒ% y % ƒ li y = cm $ 'Œ ) ' Œ'Œ Ž z % ƒ š $ 'Œ ) ' Œ'Œ Ž# y % ƒ š $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E7.1...! ˆ%Š Œ Ž# ) #ˆ %*% ) HOP O + #., '"#) '' ) '"%* a/b/t = 250/8/0.4 +cm, A Š') ) % %) Œ Ž# Q < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E7.1...! ˆ%Š Œ Ž# ) % )'%* % ) HOP O '"#) '' ) '"%* a/b/t = 250/8/0.4 +cm, A Š') ) % %) Œ Ž# Q < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u BLQ;! <?A AQ ;>!L!B<$! B<{!L$ {Q}? $<AL>< Q AQ BLQ`.;>!?$Bq. ;>!L!B<$ GUS U.E7.096 > ' ) ')# (' i z = cm > ' ) ')# (' i y = cm {'*ƒ% * λz = {'*ƒ% * λy = ># *'Œ) Œ'*ƒ% * λ z = ># *'Œ) Œ'*ƒ% * λ y = ># *'Œ#) ) %) σ = $%#&. Œ' #) % %ˆ 'ƒ%* ) Mz β = `# '"#) '%) #) ƒ%#&'('#)* κ z = `# '"#) '%) #) ƒ%#&'('#)* κ y = $%#&'('#)* % #" Œ Ž# ) Œ ' )' * Kmz = $%#&'('#)* % #" Œ Ž# ) Œ ' )' * Kmy = { '. ) Œƒ ) * '" # &#ƒ(' ) * %* Knz = { '. ) Œƒ ) * '" # &#ƒ(' ) * %* Kny = Œ%#) ƒ%#&. % #". ) Œ ' )' * Kmz = Œ%#) ƒ%#&. % #". ) Œ ' )' * Kmy = Œ%#)% Œ ' )'# ) Œƒ. '" # &#ƒ(' Kn = < )% h / b = = 10 > *% )'# ) Œ' ƒ *'*# %* % ' _vil.. = cm D )'Š) Œ # )% * ) *. ) %* % '*# l_cr = cm _vil. l_cr D )'Š#) ) %) σ_d = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 $%#&. % #" Œ Ž# ) Œ '. % ˆ. '. θ = A% " #) ) %) % N σ+n, = kn/cm2 A% " #) ) %) % Mz σ+mz, = kn/cm2 A% " #) ) %) % My σ+my, = kn/cm2 G ƒ '" #) ) %) σ_max = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V_max <= V_doz A %) ) "% ƒ) Œ Ž# τ = kn/cm2 % Œ% #) ) %) ) "% ƒ) Œ Ž# τ_doz = kn/cm2 Контрола на напонот: W <= W_doz $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 $<AL>< Q AQ B;<>? `?A AQ;<A A% " #) ) %) σ = kn/cm2 A %) ) "% ƒ) Œ Ž# τ = kn/cm2 G ƒ '" #) % # ˆ#) ) %) σ up = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V,up V_dop

87 STAP ;>?B?$: HOP [] 80x80x4 C2CJUS D?<G?L>!B$! $Q>Q$L?>!BL!$! AQ ;>?B?$<L 8 0 T 8 0 y 4 z [m m ] Wx = cm2 Wy = cm2 Wz = cm2 Iz = cm4 Iy = cm4 Ix = cm4 \z = cm3 \y = cm3 ^Q$L<>! AQ!B$<>!BL?A<BL ;< $<G`!AQq!wQ AQ <;L<{Q> {Q}Q 19. ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~=0.04 $<AL>< Q AQ?^<>GQq!! G ƒ '" #) 'ˆ ) * %* u = mm + Š ) % *%Œ Œ Ž# 39 %Š#*%ƒ ) * %*, AQ <;L<{Q> {Q}?: 19 ^Q$L<> AQ B!D >A<BL : 1.33 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq +ƒ ) * %*, ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm %. ) ' Œ'Œ. %ƒ% z % ƒ li z = cm %. ) ' Œ'Œ. %ƒ% y % ƒ li y = cm $ 'Œ ) ' Œ'Œ Ž z % ƒ š $ 'Œ ) ' Œ'Œ Ž# y % ƒ š BLQ;! <?A AQ ;>!L!B<$! B<{!L$ {Q}? $<AL>< Q AQ BLQ`.;>!?$Bq. ;>!L!B<$ GUS U.E7.096 > ' ) ')# (' i z = cm > ' ) ')# (' i y = cm {'*ƒ% * λz = {'*ƒ% * λy = ># *'Œ) Œ'*ƒ% * λ z = ># *'Œ) Œ'*ƒ% * λ y = ># *'Œ#) ) %) σ = $%#&. Œ' #) % %ˆ 'ƒ%* ) Mz β = `# '"#) '%) #) ƒ%#&'('#)* κ z = `# '"#) '%) #) ƒ%#&'('#)* κ y = $%#&'('#)* % #" Œ Ž# ) Œ ' )' * Kmz = $%#&'('#)* % #" Œ Ž# ) Œ ' )' * Kmy = { '. ) Œƒ ) * '" # &#ƒ(' ) * %* Knz = { '. ) Œƒ ) * '" # &#ƒ(' ) * %* Kny = Œ%#) ƒ%#&. % #". ) Œ ' )' * Kmz = Œ%#) ƒ%#&. % #". ) Œ ' )' * Kmy = Œ%#)% Œ ' )'# ) Œƒ. '" # &#ƒ(' Kn = < )% h / b = = 10 > *% )'# ) Œ' ƒ *'*# %* % ' _vil.. = cm D )'Š) Œ # )% * ) *. ) %* % '*# l_cr = cm _vil. l_cr D )'Š#) ) %) σ_d = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 $%#&. % #" Œ Ž# ) Œ '. % ˆ. '. θ = A% " #) ) %) % N σ+n, = kn/cm2 A% " #) ) %) % Mz σ+mz, = kn/cm2 A% " #) ) %) % My σ+my, = kn/cm2 G ƒ '" #) ) %) σ_max = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V_max <= V_doz $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E7.1...! ˆ%Š Œ Ž# ) #ˆ %*% ) HOP O + #., '"#) '' ) '"%* a/b/t = /8/0.4 +cm, A Š') ) % %) Œ Ž# Q < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E7.1...! ˆ%Š Œ Ž# ) % )'%* % ) HOP O '"#) '' ) '"%* a/b/t = /8/0.4 +cm, A Š') ) % %) Œ Ž# Q < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E7.1...! ˆ%Š Œ Ž# ) % )'%* % ) HOP O '"#) '' ) '"%* a/b/t = /8/0.4 +cm, A Š') ) % %) Œ Ž# Q < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = 1.250

88 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = AQ <;L<{Q> {Q}?: 31 D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^Q$L<> AQ B!D >A<BL : 1.20 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq +ƒ ) * %*, Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 $<AL>< Q AQ B;<>? `?A AQ;<A A% " #) ) %) σ = kn/cm2 A %) ) "% ƒ) Œ Ž# τ = kn/cm2 G ƒ '" #) % # ˆ#) ) %) σ up = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V,up V_dop ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm A %) ) "% ƒ) Œ Ž# τ = kn/cm2 % Œ% #) ) %) ) "% ƒ) Œ Ž# τ_doz = kn/cm2 Контрола на напонот: W <= W_doz STAP ;<;>?@?A ;>?B?$: HOP [] 50x50x3 C2CJUS D?<G?L>!B$! $Q>Q$L?>!BL!$! AQ ;>?B?$<L L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm A %) ) "% ƒ) Œ Ž# τ = kn/cm2 % Œ% #) ) %) ) "% ƒ) Œ Ž# τ_doz = kn/cm2 5 0 T 5 0 y 3 z [m m ] Wx = cm2 Wy = cm2 Wz = cm2 Iz = cm4 Iy = cm4 Ix = cm4 \z = cm3 \y = cm3 ^Q$L<>! AQ!B$<>!BL?A<BL ;< $<G`!AQq!wQ AQ <;L<{Q> {Q}Q 19. ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~= ~=0.02 $<AL>< Q AQ?^<>GQq!! G ƒ '" #) 'ˆ ) * %* u = mm + Š ) % *%Œ Œ Ž# 39 %Š#*%ƒ ) * %*, AQ <;L<{Q> {Q}?: 19 ^Q$L<> AQ B!D >A<BL : 1.33 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq + %Š#*%ƒ ) * %*, ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm BLQ;! <?A AQ QL?DA {Q}?! B<{!L$ {Q}? A% " #) ) %) σ_max = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V_max <= V_doz AQ <;L<{Q> {Q}?: 19 ^Q$L<> AQ B!D >A<BL : 1.33 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq +ƒ ) * %*, ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn Контрола на напонот: W <= W_doz AQ <;L<{Q> {Q}?: 17 ^Q$L<> AQ B!D >A<BL : 1.33 < {<?A AQ;<A : G?>< Q{A! {!wqa!wq + %Š#*%ƒ ) * %*, ; # "#*ƒ%œ) )% " ) ' N = kn G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% z % ƒ Mz = knm G%"#)* ) %Œ'*ƒ Œ Ž# %ƒ% y % ƒ My = knm L ) Œ# ) ' Œ% z Œ#( Tz = kn L ) Œ# ) ' Œ% y Œ#( Ty = kn B' *#" ƒ % ') ) * %* = cm $<AL>< Q AQ BLQ`! A<BLQ `<@A<! {!{Q}? GUS U.E7.101 < )% h / b = = 10 > *% )'# ) Œ' ƒ *'*# %* % ' _vil.. = cm D )'Š) Œ # )% * ) *. ) %* % '*# l_cr = cm _vil. l_cr D )'Š#) ) %) σ_d = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 {' *') ƒ' ) %)- #ˆ % σ_vis= kn/cm2 Контрола на напонот: V_vis <= V_doz $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E7.1...! ˆ%Š Œ Ž# ) #ˆ %*% ) HOP O + #., '"#) '' ) '"%* a/b/t = /5/0.3 +cm, A Š') ) % %) Œ Ž# Q < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 $<AL>< Q AQ B;<>? `?A AQ;<A Контрола на напонот: W <= W_u A% " #) ) %) σ = kn/cm2 % Œ% #) ) %) σ_doz = kn/cm2 Контрола на напонот: V 2 <= 1 Контрола на напонот: V,up V_dop A %) ) "% ƒ) Œ Ž# τ = kn/cm2 $%"ˆ')' ) ) %) ƒ % *% ˆ G ƒ '" #) % # ˆ#) ) %) σ up = kn/cm2 σ 2 = $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E7.1...! ˆ%Š Œ Ž# ) % )'%* % ) HOP O '"#) '' ) '"%* a/b/t = /5/0.3 +cm, A Š') ) % %) Œ Ž# Q < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ =

89 < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = Контрола на напонот: V 2 <= 1 $<AL>< Q AQ BLQ`! A<BL AQ! `<@ {Q}? AQ!G<{!L? MUS U.E7.1...! ˆ%Š Œ Ž# ) % )'%* % ) HOP O < )% a/b α = > ˆ#) )% " #) ) %) Œ% '"%* σ1 = kn/cm2 > ˆ#) )% " #) ) %) Œ% '"%* σ2 = kn/cm2 < )% σ1/σ2 Ψ = $%#&'('#)* ) ' ˆ%Š Œ Ž# k_σ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pσ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pσ = $% #ƒ('%)#) & ƒ*% c_σ = $% #ƒ('%)#) & ƒ*% f = ># *'Œ#) )'Š#) ) %) σ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# σ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) '*' %ƒ σ = kn/cm2 Контрола на напонот: V <= V_u $%#&'('#)* ) ' ˆ%Š Œ Ž# k_τ = < # %Œ ) %) ) ' ˆ%Š Œ Ž# ) '"%* σ_e = kn/cm2 $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ) Œ'*ƒ% * ) %Š λ pτ = `# '". ƒ%#&. ) ' ˆ%Š Œ Ž# κ_pτ = $% #ƒ('%)#) & ƒ*% c_τ = $ '*'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_cr = kn/cm2 ># *'Œ#) )'Š#) ) %) τ u = D )'Š#) ) %) ) ' ˆ%Š Œ Ž# τ_u = kn/cm2 ^ ƒ*% ' ) ) %) ) "% ƒ) Œ Ž# τ = kn/cm2 Контрола на напонот: W <= W_u $%"ˆ')' ) ) %) ƒ % *% ˆ σ 2 = '"#) '' ) '"%* a/b/t = /5/0.3 +cm, A Š') ) % %) Œ Ž# Q Контрола на напонот: V 2 <= 1

90 Ulazni podaci - Konstrukcija Izometrija

91 Opt. 1: postojan +g, Staticki proracun Nivo: [0.00 m] Uticaji u ploci: max Mx= 5.16 / min Mx= knm/m Opt. 2: promenliv Nivo: [0.00 m] Uticaji u ploci: max Mx= / min Mx= knm/m Opt. 6: Sx Nivo: [0.00 m] Uticaji u ploci: max Mx= 3.06 / min Mx= knm/m

92 Opt. 7: Sy Nivo: [0.00 m] Uticaji u ploci: max Mx= 1.93 / min Mx= knm/m Opt. 128: IœII Nivo: [0.00 m] Uticaji u pov. osloncu: max tla= / min tla= kn/m2 Opt. 129: IœIIœVI Nivo: [0.00 m] Uticaji u pov. osloncu: max tla= / min tla= kn/m2

93 Opt. 130: IœIIœVII Nivo: [0.00 m] Uticaji u pov. osloncu: max tla= / min tla= kn/m2 Opt. 1: postojan +g, Nivo: [0.00 m] Uticaji u gredi: max N1= 0.04 / min N1= 0.03 kn Opt. 2: promenliv Nivo: [0.00 m] Uticaji u gredi: max N1= 0.31 / min N1= 0.19 kn

94 Opt. 6: Sx Nivo: [0.00 m] Uticaji u gredi: max N1= 0.38 / min N1= kn Opt. 7: Sy Nivo: [0.00 m] Uticaji u gredi: max N1= 0.07 / min N1= kn Opt. 1: postojan +g, Nivo: [0.00 m] Uticaji u gredi: max T2= 1.89 / min T2= kn

95 Opt. 2: promenliv Nivo: [0.00 m] Uticaji u gredi: max T2= 2.87 / min T2= kn Opt. 6: Sx Nivo: [0.00 m] Uticaji u gredi: max T2= 0.43 / min T2= kn Opt. 7: Sy Nivo: [0.00 m] Uticaji u gredi: max T2= 0.11 / min T2= kn

96 Opt. 1: postojan +g, Nivo: [0.00 m] Uticaji u gredi: max M3= 2.99 / min M3= knm Opt. 2: promenliv Nivo: [0.00 m] Uticaji u gredi: max M3= 8.37 / min M3= knm Opt. 6: Sx Nivo: [0.00 m] Uticaji u gredi: max M3= 1.42 / min M3= knm

97 Opt. 7: Sy Nivo: [0.00 m] Uticaji u gredi: max M3= 0.08 / min M3= knm

98 Merodavno opterecenje: Kompletna sema C1CP W 87 M 30 RW 400/500 Dimenzionisanje (beton) Nivo: [0.00 m] Wrmatura u gredama: max Wa2/Wa1= 1.55 cm2 Merodavno opterecenje: Kompletna sema C1CP W 87 M 30 RW 400/500 Nivo: [0.00 m] Wrmatura u gredama: max Wa3/Wa4= 0.15 cm2 Merodavno opterecenje: Kompletna sema C1CP W 87 M 30 RW 400/500 Nivo: [0.00 m] Wrmatura u gredama: max Wa uz= 0.00 cm2

99 Usvojena armatura C1CP W 87 M 30 RW 400/500 Nivo: [0.00 m] Wrmatura u gredama: Wa2/Wa1 Usvojena armatura C1CP W 87 M 30 RW 400/500 Nivo: [0.00 m] Wrmatura u gredama: Wa3/Wa4 Usvojena armatura C1CP W 87 M 30 RW 400/500 Nivo: [0.00 m] Wrmatura u gredama: Wa uz

100 Merodavno opterecenje: Kompletna sema C1CP W 87 M 40 RW 400/500 a=2.00 cm Nivo: [0.00 m] Wa - g.zona - max Wa g= cm2/m Merodavno opterecenje: Kompletna sema C1CP W 87 M 40 RW 400/500 a=2.00 cm Nivo: [0.00 m] Wa - d.zona - max Wa d= 2.68 cm2/m Usvojena armatura C1CP W 87 M 40 RW 400/500 a=2.00 cm Nivo: [0.00 m] Wa - g.zona

101 Usvojena armatura C1CP W 87 M 40 RW 400/500 a=2.00 cm Nivo: [0.00 m] Wa - d.zona

102 BOLDER 1

103 Sadrzaj Osnovni podaci o modelu 2 Ulazni podaci Ulazni podaci - Konstrukcija 3 Ulazni podaci - Opterecenje 10 Rezultati Modalna analiza 14 Seizmicki proracun 15 žimenzionisanje +celik, 16

104 Osnovni podaci o modelu žatoteka: bolder 1.t p žatum proracuna: Nacin proracuna: 3ž model X Teorija I-og reda X Modalna analiza Stabilnost Teorija II-og reda X Seizmicki proracun Faze gradjenja Nelinearan proracun Velicina modela roj cvorova: 26 roj plocastih elemenata: 0 roj grednih elemenata: 50 roj granicnih elemenata: 36 roj osnovnih slucajeva opterecenja: 3 roj kombinacija opterecenja: 2 Jedinice mera žuzina: Sila: Temperatura: m [cm mm] kn šelsius

105 Ulazni podaci - Konstrukcija Izometrija

106 Koordinate cvorova No X [m] Y [m] Z [m] No X [m] Y [m] Z [m] No X [m] Y [m] Z [m] Tabela materijala No Naziv materijala E[kN/m2] µ γ[kn/m3] αt[1/š] Em[kN/m2] µm 1 eliku 2.100eœ e eœ Setovi greda C1CSet: 1 Presek: HOP [] 60x60x4 Fiktivna ekscentricnost Mat. W1 W2 W3 I1 I2 I eliku 8.550e e e e e e-7 6 T [cm] C1CSet: 2 Presek: HOP [] 40x40x3 Fiktivna ekscentricnost Mat. W1 W2 W3 I1 I2 I eliku 4.210e e e e e e-8 4 T [cm] C1CSet: 3 Presek: 2x 60x60x8 Fiktivna ekscentricnost Mat. W1 W2 W3 I1 I2 I eliku 1.806e e e e e e-6 Ÿ2 T2 T T1 3 No Presek 3 [cm] 2 [cm] α Mat. 1 60x60x x60x Ÿ T [cm] 60x60x8 Setovi tackastih oslonaca K R1 K R2 K R3 K M1 K M2 K M eœ eœ eœ eœ eœ eœ10 Konture greda C1CSet 1. HOP [] 60x60x4 Oslobadjanje uticaja No švor I švor J švor I švor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T

107 Konture greda 1. HOP [] 60x60x4 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture 2. HOP [] 40x40x3 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture 3. 2xL 60x60x8 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture tackastih oslonaca 1, 5, 7, 15, 25, 26 1 Ravan: platofrma 2

108 Dispozicija ramova Ram: H_1

109 Ram: V_1 Ram: V_2

110 Ram: V_3 Pogled: platforma

111 Pogled: platofrma 2 Pogled: platforma+platofrma 2

112 Ulazni podaci - Opterecenje Lista slucajeva opterecenja No!"# 1 postojano (g) 2 promenliv 3 Sx 4 $%"&.: I Opt. 1: postojano (g) No!"# 5 $%"&.: I+II 6 $%"&.: I+III 7 $%"&.: I+II+III Ram: H_1

113 Opt. 1: postojano (g) Pogled: platforma Opt. 1: postojano (g) Pogled: platofrma 2

114 Opt. 2: promenliv Ram: H_1 Opt. 2: promenliv Pogled: platforma

115 Opt. 2: promenliv Pogled: platofrma 2

116 Modalna analiza Napredne opcije seizmickog proracuna: Spreceno oscilovanje u Z pravcu Faktori opterecenja za proracun masa No!"# $ #'*-*# ; 1 postojano (g) promenliv 0.50 Raspored masa po visini objekta Nivo Z [m] X [m] Y [m] Masa [T] T<m = Ukupno: = Periodi oscilovanja konstrukcije No T [s] f [Hz] A G.9175

117 Seizmicki proracun Seizmicki proracun: JUS (Ekvivalentno staticko opterecenje) Kategorija tla: II Seizmicka zona: VIII (Ks > 0.050) Kategorija objekta: II Vrsta konstrukcije: 1 Kota ukljestenja: Zd > 0.00 m Ugao dejstva zemljotresa:!"# T [sec] α [ ] Sx Raspored seizmickih sila po visini objekta (Sx) Nivo Z [m] S [kn] Σ> 1.35 Raspored masa po visini objekta Nivo Z [m] X [m] Y [m] Masa [T] T<m = Ukupno: =

118 Dimenzionisanje (celik) Ram: H_1 Kontrola napona Ram: V_1 Kontrola napona

119 Kontrola napona Ram: V_2 Kontrola napona Ram: V_3

120 Pogled: platforma Kontrola napona Pogled: platofrma 2 Kontrola napona

121 Izometrija Kontrola stabilnosti Ram: H_1 Kontrola stabilnosti

122 Ram: V_1 Kontrola stabilnosti Ram: V_2 Kontrola stabilnosti

123 Ram: V_3 Kontrola stabilnosti Pogled: platforma Kontrola stabilnosti

124 Pogled: platofrma 2 Kontrola stabilnosti STAP 20-10!"!#$%$&!#$'$(: 2L )$"*$+#,'(, (-#-(+$#,'+,(, &-!#$'$("+ y T z Ax = Ay = Az = Iz = Iy = Ix = cm cm cm cm cm cm4 #./;.,<> zt?mmb yt?mmb CDEF 1. L 60x60x8 G G L 60x60x G0.0 M-(+"#, &-,'("#,'+$&"'+!" ("*N,&-O,Q- &- "!+"W-#XW-Y- 5. Z= Z= Z= Z=0.09 ("&+#"[- &- \$M"#*-O,, *C]^`<CF>h kd`/ hc ^qcueq v = mm?^fkwc{ hc EuqE C;k C}> 5~ hc cm E uew>qe]eq hc ^qcueqb '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?];C{ hc ^qcueqb *E<>hq hc ^E `q]k C}> E]EFk z E^]C z = G1.846 ƒ m *E<>hq hc ^E `q]k C}> E]EFk y E^]C y = G0.022 ƒ m +;Ch^ >; CFhC ^`FC E z u;c > Tz = ƒ +;Ch^ >; CFhC ^`FC E y u;c > Ty = ƒ '`^q><^]c EF `hc hc ^qcueq L = cm \EF. hc ` `. E]EFk z E^]C li~z = cm \EF. hc ` `. E]EFk y E^]C li~y = cm (;` C hc ` ` C}C C z E^]C ˆ (;` C hc ` ` C}> C y E^]C ˆ '+-!, [" $& &-!#,+,'"(, '"W,+(XW-Y$ ("&+#"[- &- '+-N.!#, $('O.!#,+,'"( *US U.Š7.096 #C `k^ hc `h>; `{C i~z = cm #C `k^ hc `h>; `{C i~y = cm W`q]E^q λz = W`q]E^q λy = #>FCq` hc `q]e^q λ z = #>FCq` hc `q]e^q λ y = #>FCq` >h hcueh σ = (E>. C `^>h E E/F`]Eq hc z β = N> `<>h `EhCF>h ]E> ` `>hq κ~z = N> `<>h `EhCF>h ]E> ` `>hq κ~y = (E> ` `>hq C DEF><k C}> hc F`{Ch`{CqC Kmz = (E> ` `>hq C DEF><k C}> hc F`{Ch`{CqC Kmy = WF`{. hc ]kuhcqc `<u>; >] `{C hc ^qcueq Knz = WF`{. hc ]kuhcqc `<u>; >] `{C hc ^qcueq Kny = (E>. C DEF><k C}> hc F`{. E /. `. θ = &E;<CF>h hcueh E σ? B = ƒ Œcm2 &E;<CF>h hcueh E z σ? zb = ƒ Œcm2 &E;<CF>h hcueh E y σ? yb = ƒ Œcm2 *C]^`<CF>h hcueh σ_max = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 Контрола на напонот: V_max <= V_doz ("&+#"[- &- '!"#$\N$& &-!"& &E;<CF>h hcueh σ = ƒ Œcm2 &CuEh hc ^<EF]hk C}> τ = ƒ Œcm2 *C]^`<CF>h ^ue;> />h hcueh σ~vp = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 Контрола на напонот: V,up V_dop!;>^<>q]E hc he;<cfhc ^`FC = G0.148 ƒ

125 STAP 22-13!"!#$%$&!#$'$(: H P Ž )$"*$+#,'(, (-#-(+$#,'+,(, &-!#$'$("+ 6 0 T y 4 z Ax = Ay = Az = Iz = Iy = Ix = z = y = cm cm cm cm cm cm cm cm3 );Ch`w>h hcueh hc ` /Ewk C}> σ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = ƒ Œcm2 Контрола на напонот: V <= V_u (E> ` `>hq hc ` /Ewk C}> ƒ_τ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pτ = N> `<. ]E>. hc ` /Ewk C}> κ_pτ = (E;>] `Eh>h C]qE; c_τ = (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` >h D;Ch`w>h hcueh τ v = );Ch`w>h hcueh hc ` /Ewk C}> τ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc ^<EF]hk C}> τ = ƒ Œcm2 Контрола на напонот: W <= W_u (E</`h`;ChC hcueh^]c ^E^qE{/C σ 2 = Контрола на напонот: V 2 <= 1 Žm m ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U.Š7.1..., /Ewk C}> hc EFh`Eq ue{c^ hc H P M-(+"#, &-,'("#,'+$&"'+!" ("*N,&-O,Q- &- "!+"W-#XW-Y- 7. Z= Z= Z= Z=0.02 ("&+#"[- &- \$M"#*-O,, *C]^`<CF>h kd`/ hc ^qcueq v = mm?^fkwc{ hc EuqE C;k C}> 7~ ];C{ hc ^qcueqb '[X%-Q &- "!+"W-#XW-Y$: 7 M-(+"# &- ',)X#&"'+ : 1.20 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?uEw>qE] hc ^qcueqb!;>^<>q]e hc he;<cfhc ^`FC = G0.280 ƒ *E<>hq hc ^E `q]k C}> E]EFk z E^]C z = G0.072 ƒ m *E<>hq hc ^E `q]k C}> E]EFk y E^]C y = G0.027 ƒ m +;Ch^ >; CFhC ^`FC E z u;c > Tz = ƒ +;Ch^ >; CFhC ^`FC E y u;c > Ty = G0.102 ƒ '`^q><^]c EF `hc hc ^qcueq L = cm \EF. hc ` `. E]EFk z E^]C li~z = cm \EF. hc ` `. E]EFk y E^]C li~y = cm (;` C hc ` ` C}C C z E^]C ˆ (;` C hc ` ` C}> C y E^]C ˆ '+-!, [" $& &-!#,+,'"(, '"W,+(XW-Y$ ("&+#"[- &- '+-N.!#, $('O.!#,+,'"( *US U.Š7.096 #C `k^ hc `h>; `{C i~z = cm #C `k^ hc `h>; `{C i~y = cm W`q]E^q λz = W`q]E^q λy = #>FCq` hc `q]e^q λ z = #>FCq` hc `q]e^q λ y = #>FCq` >h hcueh σ = (E>. C `^>h E E/F`]Eq hc z β = N> `<>h `EhCF>h ]E> ` `>hq κ~z = N> `<>h `EhCF>h ]E> ` `>hq κ~y = (E> ` `>hq C DEF><k C}> hc F`{Ch`{CqC Kmz = (E> ` `>hq C DEF><k C}> hc F`{Ch`{CqC Kmy = WF`{. hc ]kuhcqc `<u>; >] `{C hc ^qcueq Knz = WF`{. hc ]kuhcqc `<u>; >] `{C hc ^qcueq Kny = " he^ Œ b = = 10 #C^qE{Ch`> hc `Fk ]C^q`q> ueque;` L_ il.. = cm );Ch`whC ;> he^q hc ;C^q. hc ueque;`q> l_cr = cm L_ il. l_cr );Ch`w>h hcueh σ_d = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 (E>. C DEF><k C}> hc F`{. E /. `. θ = &E;<CF>h hcueh E σ? B = ƒ Œcm2 &E;<CF>h hcueh E z σ? zb = ƒ Œcm2 &E;<CF>h hcueh E y σ? yb = ƒ Œcm2 *C]^`<CF>h hcueh σ_max = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 Контрола на напонот: V_max <= V_doz ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U.Š7.1..., /Ewk C}> hc ;>/;EqE hc H P?F>.B \`<>h `` hc F`<Eq aœbœt = 250Œ6Œ0.4?cmB &Cw`h hc E^FEhk C}> - " he^ aœb α = #C/>h he;<cf>h hcueh E F`<Eq σ1 = G0.758 ƒ Œcm2 #C/>h he;<cf>h hcueh E F`<Eq σ2 = ƒ Œcm2 " he^ σ1œσ2 Ψ = G0.401 (E> ` `>hq hc ` /Ewk C}> ƒ_σ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> σ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pσ = N> `<. ]E>. hc ` /Ewk C}> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq` >h D;Ch`w>h hcueh σ v = \`<>h `` hc F`<Eq aœbœt = 250Œ6Œ0.4?cmB &Cw`h hc E^FEhk C}> - " he^ aœb α = #C/>h he;<cf>h hcueh E F`<Eq σ1 = G0.758 ƒ Œcm2 #C/>h he;<cf>h hcueh E F`<Eq σ2 = G0.369 ƒ Œcm2 " he^ σ1œσ2 Ψ = (E> ` `>hq hc ` /Ewk C}> ƒ_σ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> σ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pσ = N> `<. ]E>. hc ` /Ewk C}> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq` >h D;Ch`w>h hcueh σ v = );Ch`w>h hcueh hc ` /Ewk C}> σ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = ƒ Œcm2 Контрола на напонот: V <= V_u (E> ` `>hq hc ` /Ewk C}> ƒ_τ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pτ = N> `<. ]E>. hc ` /Ewk C}> κ_pτ = (E;>] `Eh>h C]qE; c_τ = (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` >h D;Ch`w>h hcueh τ v = );Ch`w>h hcueh hc ` /Ewk C}> τ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc ^<EF]hk C}> τ = ƒ Œcm2 Контрола на напонот: W <= W_u (E</`h`;ChC hcueh^]c ^E^qE{/C σ 2 = Контрола на напонот: V 2 <= 1 ("&+#"[- &- '!"#$\N$& &-!"& &E;<CF>h hcueh σ = ƒ Œcm2 &CuEh hc ^<EF]hk C}> τ = ƒ Œcm2 *C]^`<CF>h ^ue;> />h hcueh σ~vp = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 Контрола на напонот: V,up V_dop '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?uEw>qE] hc ^qcueqb!;>^<>q]e hc he;<cfhc ^`FC = G0.280 ƒ *E<>hq hc ^E `q]k C}> E]EFk z E^]C z = G0.057 ƒ m *E<>hq hc ^E `q]k C}> E]EFk y E^]C y = G0.016 ƒ m +;Ch^ >; CFhC ^`FC E z u;c > Tz = ƒ +;Ch^ >; CFhC ^`FC E y u;c > Ty = G0.090 ƒ '`^q><^]c EF `hc hc ^qcueq L = cm &CuEh hc ^<EF]hk C}> τ = ƒ Œcm2 \E EF>h hcueh hc ^<EF]hk C}> τ_doz = ƒ Œcm2 Контрола на напонот: W <= W_doz

126 STAP 8-13!"!#$%$&!#$'$(: H P Ž )$"*$+#,'(, (-#-(+$#,'+,(, &-!#$'$("+ (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq` >h D;Ch`w>h hcueh σ v = );Ch`w>h hcueh hc ` /Ewk C}> σ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = ƒ Œcm2 Контрола на напонот: V <= V_u 6 0 T y 4 z Ax = Ay = Az = Iz = Iy = Ix = z = y = cm cm cm cm cm cm cm cm3 (E> ` `>hq hc ` /Ewk C}> ƒ_τ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pτ = N> `<. ]E>. hc ` /Ewk C}> κ_pτ = (E;>] `Eh>h C]qE; c_τ = (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` >h D;Ch`w>h hcueh τ v = );Ch`w>h hcueh hc ` /Ewk C}> τ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc ^<EF]hk C}> τ = ƒ Œcm2 6 0 Контрола на напонот: W <= W_u Žm m (E</`h`;ChC hcueh^]c ^E^qE{/C σ 2 = Контрола на напонот: V 2 <= 1 M-(+"#, &-,'("#,'+$&"'+!" ("*N,&-O,Q- &- "!+"W-#XW-Y- 5. Z= Z= Z= Z=0.01 ("&+#"[- &- \$M"#*-O,, *C]^`<CF>h kd`/ hc ^qcueq v = mm?^fkwc{ hc EuqE C;k C}> 7~ ];C{ hc ^qcueqb '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?];C{ hc ^qcueqb!;>^<>q]e hc he;<cfhc ^`FC = G2.385 ƒ *E<>hq hc ^E `q]k C}> E]EFk z E^]C z = G0.059 ƒ m *E<>hq hc ^E `q]k C}> E]EFk y E^]C y = G0.010 ƒ m +;Ch^ >; CFhC ^`FC E z u;c > Tz = G0.007 ƒ +;Ch^ >; CFhC ^`FC E y u;c > Ty = ƒ '`^q><^]c EF `hc hc ^qcueq L = cm \EF. hc ` `. E]EFk z E^]C li~z = cm \EF. hc ` `. E]EFk y E^]C li~y = cm (;` C hc ` ` C}C C z E^]C ˆ (;` C hc ` ` C}> C y E^]C ˆ '+-!, [" $& &-!#,+,'"(, '"W,+(XW-Y$ ("&+#"[- &- '+-N.!#, $('O.!#,+,'"( *US U.Š7.096 #C `k^ hc `h>; `{C i~z = cm #C `k^ hc `h>; `{C i~y = cm W`q]E^q λz = W`q]E^q λy = #>FCq` hc `q]e^q λ z = #>FCq` hc `q]e^q λ y = #>FCq` >h hcueh σ = (E>. C `^>h E E/F`]Eq hc z β = N> `<>h `EhCF>h ]E> ` `>hq κ~z = N> `<>h `EhCF>h ]E> ` `>hq κ~y = (E> ` `>hq C DEF><k C}> hc F`{Ch`{CqC Kmz = (E> ` `>hq C DEF><k C}> hc F`{Ch`{CqC Kmy = WF`{. hc ]kuhcqc `<u>; >] `{C hc ^qcueq Knz = WF`{. hc ]kuhcqc `<u>; >] `{C hc ^qcueq Kny = X^ E>h ]E>. C DEF><. hc F`{Ch`{CqC Kmz = X^ E>h ]E>. C DEF><. hc F`{Ch`{CqC Kmy = X^ E>hE F`{Ch`> hc ]. `<u>; >] `{C Kn = " he^ Œ b = = 10 #C^qE{Ch`> hc `Fk ]C^q`q> ueque;` L_ il.. = cm );Ch`whC ;> he^q hc ;C^q. hc ueque;`q> l_cr = cm L_ il. l_cr );Ch`w>h hcueh σ_d = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 (E>. C DEF><k C}> hc F`{. E /. `. θ = &E;<CF>h hcueh E σ? B = ƒ Œcm2 &E;<CF>h hcueh E z σ? zb = ƒ Œcm2 &E;<CF>h hcueh E y σ? yb = ƒ Œcm2 *C]^`<CF>h hcueh σ_max = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 Контрола на напонот: V_max <= V_doz ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U.Š7.1..., /Ewk C}> hc ;>/;EqE hc H P?F>.B \`<>h `` hc F`<Eq aœbœt = 78Œ6Œ0.4?cmB &Cw`h hc E^FEhk C}> - " he^ aœb α = #C/>h he;<cf>h hcueh E F`<Eq σ1 = G0.780 ƒ Œcm2 #C/>h he;<cf>h hcueh E F`<Eq σ2 = ƒ Œcm2 " he^ σ1œσ2 Ψ = G0.105 (E> ` `>hq hc ` /Ewk C}> ƒ_σ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> σ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pσ = N> `<. ]E>. hc ` /Ewk C}> κ_pσ = ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U.Š7.1..., /Ewk C}> hc EFh`Eq ue{c^ hc H P \`<>h `` hc F`<Eq aœbœt = 78Œ6Œ0.4?cmB &Cw`h hc E^FEhk C}> - " he^ aœb α = #C/>h he;<cf>h hcueh E F`<Eq σ1 = G0.780 ƒ Œcm2 #C/>h he;<cf>h hcueh E F`<Eq σ2 = G0.640 ƒ Œcm2 " he^ σ1œσ2 Ψ = (E> ` `>hq hc ` /Ewk C}> ƒ_σ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> σ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pσ = N> `<. ]E>. hc ` /Ewk C}> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq` >h D;Ch`w>h hcueh σ v = );Ch`w>h hcueh hc ` /Ewk C}> σ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = ƒ Œcm2 Контрола на напонот: V <= V_u (E> ` `>hq hc ` /Ewk C}> ƒ_τ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pτ = N> `<. ]E>. hc ` /Ewk C}> κ_pτ = (E;>] `Eh>h C]qE; c_τ = (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` >h D;Ch`w>h hcueh τ v = );Ch`w>h hcueh hc ` /Ewk C}> τ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc ^<EF]hk C}> τ = ƒ Œcm2 Контрола на напонот: W <= W_u (E</`h`;ChC hcueh^]c ^E^qE{/C σ 2 = Контрола на напонот: V 2 <= 1 ("&+#"[- &- '!"#$\N$& &-!"& &E;<CF>h hcueh σ = ƒ Œcm2 &CuEh hc ^<EF]hk C}> τ = ƒ Œcm2 *C]^`<CF>h ^ue;> />h hcueh σ~vp = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 Контрола на напонот: V,up V_dop '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?uEw>qE] hc ^qcueqb!;>^<>q]e hc he;<cfhc ^`FC = G2.333 ƒ *E<>hq hc ^E `q]k C}> E]EFk z E^]C z = ƒ m *E<>hq hc ^E `q]k C}> E]EFk y E^]C y = G0.004 ƒ m +;Ch^ >; CFhC ^`FC E z u;c > Tz = G0.007 ƒ +;Ch^ >; CFhC ^`FC E y u;c > Ty = ƒ '`^q><^]c EF `hc hc ^qcueq L = cm &CuEh hc ^<EF]hk C}> τ = ƒ Œcm2 \E EF>h hcueh hc ^<EF]hk C}> τ_doz = ƒ Œcm2 Контрола на напонот: W <= W_doz

127 STAP 10-13!"!#$%$&!#$'$(: H P Ž )$"*$+#,'(, (-#-(+$#,'+,(, &-!#$'$("+ N> `<. ]E>. hc ` /Ewk C}> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq` >h D;Ch`w>h hcueh σ v = );Ch`w>h hcueh hc ` /Ewk C}> σ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = ƒ Œcm2 4 0 T y 3 z Ax = Ay = Az = Iz = Iy = Ix = z = y = cm cm cm cm cm cm cm cm3 Контрола на напонот: V <= V_u (E> ` `>hq hc ` /Ewk C}> ƒ_τ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pτ = N> `<. ]E>. hc ` /Ewk C}> κ_pτ = (E;>] `Eh>h C]qE; c_τ = (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` >h D;Ch`w>h hcueh τ v = );Ch`w>h hcueh hc ` /Ewk C}> τ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc ^<EF]hk C}> τ = ƒ Œcm2 4 0 Контрола на напонот: W <= W_u Žm m (E</`h`;ChC hcueh^]c ^E^qE{/C σ 2 = Контрола на напонот: V 2 <= 1 M-(+"#, &-,'("#,'+$&"'+!" ("*N,&-O,Q- &- "!+"W-#XW-Y- 5. Z= Z= Z= Z=0.04 ("&+#"[- &- \$M"#*-O,, *C]^`<CF>h kd`/ hc ^qcueq v = mm?^fkwc{ hc EuqE C;k C}> 7~ hc 63.5 cm E uew>qe]eq hc ^qcueqb '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?];C{ hc ^qcueqb!;>^<>q]e hc he;<cfhc ^`FC = ƒ *E<>hq hc ^E `q]k C}> E]EFk z E^]C z = ƒ m *E<>hq hc ^E `q]k C}> E]EFk y E^]C y = ƒ m +;Ch^ >; CFhC ^`FC E z u;c > Tz = ƒ +;Ch^ >; CFhC ^`FC E y u;c > Ty = G0.001 ƒ '`^q><^]c EF `hc hc ^qcueq L = cm ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U.Š7.1..., /Ewk C}> hc EFh`Eq ue{c^ hc H P \`<>h `` hc F`<Eq aœbœt = Œ4Œ0.3?cmB &Cw`h hc E^FEhk C}> - " he^ aœb α = #C/>h he;<cf>h hcueh E F`<Eq σ1 = G2.775 ƒ Œcm2 #C/>h he;<cf>h hcueh E F`<Eq σ2 = ƒ Œcm2 " he^ σ1œσ2 Ψ = G1.492 (E> ` `>hq hc ` /Ewk C}> ƒ_σ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> σ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pσ = N> `<. ]E>. hc ` /Ewk C}> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq` >h D;Ch`w>h hcueh σ v = );Ch`w>h hcueh hc ` /Ewk C}> σ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = ƒ Œcm2 Контрола на напонот: V <= V_u '+-!, [" $& &- -+$)&XW-Y$, '"W,+(XW-Y$ &E;<CF>h hcueh σ_max = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 Контрола на напонот: V_max <= V_doz ("&+#"[- &- '+-N,[&"'+- N"%&", W,W-Y$ *US U.Š7.101 " he^ Œ b = = 10 #C^qE{Ch`> hc `Fk ]C^q`q> ueque;` L_ il.. = cm );Ch`whC ;> he^q hc ;C^q. hc ueque;`q> l_cr = cm L_ il. l_cr );Ch`w>h hcueh σ_d = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 W`^q`h^]` hcuehg;>/;e σ_ is= ƒ Œcm2 Контрола на напонот: V_vis <= V_doz ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U.Š7.1..., /Ewk C}> hc ;>/;EqE hc H P? >.B \`<>h `` hc F`<Eq aœbœt = Œ4Œ0.3?cmB &Cw`h hc E^FEhk C}> - " he^ aœb α = #C/>h he;<cf>h hcueh E F`<Eq σ1 = G2.854 ƒ Œcm2 #C/>h he;<cf>h hcueh E F`<Eq σ2 = G2.775 ƒ Œcm2 " he^ σ1œσ2 Ψ = (E> ` `>hq hc ` /Ewk C}> ƒ_σ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> σ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pσ = N> `<. ]E>. hc ` /Ewk C}> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq` >h D;Ch`w>h hcueh σ v = );Ch`w>h hcueh hc ` /Ewk C}> σ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = ƒ Œcm2 Контрола на напонот: V <= V_u ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U.Š7.1..., /Ewk C}> hc DE;h`Eq ue{c^ hc H P \`<>h `` hc F`<Eq aœbœt = Œ4Œ0.3?cmB &Cw`h hc E^FEhk C}> - " he^ aœb α = #C/>h he;<cf>h hcueh E F`<Eq σ1 = G2.854 ƒ Œcm2 #C/>h he;<cf>h hcueh E F`<Eq σ2 = ƒ Œcm2 " he^ σ1œσ2 Ψ = G1.423 (E> ` `>hq hc ` /Ewk C}> ƒ_σ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> σ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pσ = (E> ` `>hq hc ` /Ewk C}> ƒ_τ = "{F>;E hcueh hc ` /Ewk C}> hc F`<Eq σ_š = ƒ Œcm2 (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` hc `q]e^q hc ufewc λ pτ = N> `<. ]E>. hc ` /Ewk C}> κ_pτ = (E;>] `Eh>h C]qE; c_τ = (;`q`w>h hcueh hc ` /Ewk C}> τ_cr = ƒ Œcm2 #>FCq` >h D;Ch`w>h hcueh τ v = );Ch`w>h hcueh hc ` /Ewk C}> τ_v = ƒ Œcm2 MC]qE;`;Ch hcueh hc ^<EF]hk C}> τ = ƒ Œcm2 Контрола на напонот: W <= W_u (E</`h`;ChC hcueh^]c ^E^qE{/C σ 2 = Контрола на напонот: V 2 <= 1 ("&+#"[- &- '!"#$\N$& &-!"& &E;<CF>h hcueh σ = ƒ Œcm2 &CuEh hc ^<EF]hk C}> τ = ƒ Œcm2 *C]^`<CF>h ^ue;> />h hcueh σ~vp = ƒ Œcm2 \E EF>h hcueh σ_doz = ƒ Œcm2 Контрола на напонот: V,up V_dop '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?uEw>qE] hc ^qcueqb!;>^<>q]e hc he;<cfhc ^`FC = ƒ *E<>hq hc ^E `q]k C}> E]EFk z E^]C z = G0.004 ƒ m *E<>hq hc ^E `q]k C}> E]EFk y E^]C y = G0.060 ƒ m +;Ch^ >; CFhC ^`FC E z u;c > Tz = ƒ +;Ch^ >; CFhC ^`FC E y u;c > Ty = G0.012 ƒ '`^q><^]c EF `hc hc ^qcueq L = cm &CuEh hc ^<EF]hk C}> τ = ƒ Œcm2 \E EF>h hcueh hc ^<EF]hk C}> τ_doz = ƒ Œcm2 Контрола на напонот: W <= W_doz

128 2

129 Sadrzaj sno ni podaci o modelv 2 Ulazni podaci Ulazni podaci G Konstrvƒcija 3 Ulazni podaci G pterecenje 12 Rezvltati odalna analiza 15 Seizmicƒi proracvn 16 imenzionisanje?celiƒb 17

130 Osnovni podaci o modelu atoteƒa: bolder 2.t p atvm proracvna: acin proracvna: 3 model Teorija IGog reda odalna analiza Stabilnost Teorija IIGog reda Seizmicƒi proracvn aze gradjenja elinearan proracvn Velicina modela šroj c oro a: 39 šroj plocasti elemenata: 0 šroj gredni elemenata: 78 šroj granicni elemenata: 48 šroj osno ni slvcaje a opterecenja: 3 šroj ƒombinacija opterecenja: 4 Jedinice mera vzina: m Žcm~mm Sila: ƒ Temperatvra: ˆelsivs

131 Ulazni podaci - Konstrukcija Izometrija

132 Koordinate c oro a o Žm Žm œ Žm G G G G G G G o Žm Žm œ Žm G G G o Žm Žm œ Žm G G Tabela materijala o azi materijala ŠŽƒ Œm2 µ γžƒ Œm3 αtž1œˆ ŠmŽƒ Œm2 µm 1 eliƒv 2.100e eG e Seto i 1 Preseƒ: H P Ž 60x60x4~ iƒti na eƒscentricnost at. A1 A2 A3 I1 I2 I3 2 1 G eliƒv 8.550eG eG eG eG eG eG7 6 T Preseƒ: H P Ž 40x40x3~ iƒti na eƒscentricnost at. A1 A2 A3 I1 I2 I3 2 1 G eliƒv 4.210eG eG eG eG eG eG8 4 T Preseƒ: 2xL 60x60x8~ iƒti na eƒscentricnost at. A1 A2 A3 I1 I2 I3 2 1 G eliƒv 1.806eG eG eG eG eG eG6 ž2 T1 T T2 3 o Preseƒ 3 Žcm 2 Žcm α at. 1 L 60x60x L 60x60x G ž T Žcm L 60x60x8 Seto i tacƒasti oslonaca K~R1 K~R2 K~R3 K~ 1 K~ 2 K~ e e e e e e 10 Kontvre 1. H P Ž 60x60x4 slobadjanje vticaja o ˆ or I ˆ or J ˆ or I ˆ or J zn. pozicije T2 T T2 T

133 Kontvre greda 1. H P Ž 60x60x4 slobadjanje vticaja o ˆ or I ˆ or J ˆ or I ˆ or J zn. pozicije T2 T T2 T Kontvre 2. H P Ž 40x40x3 slobadjanje vticaja o ˆ or I ˆ or J ˆ or I ˆ or J zn. pozicije T2 T T2 T Kontvre 3. 2xL 60x60x8 slobadjanje vticaja o ˆ or I ˆ or J ˆ or I ˆ or J zn. pozicije T2 T T2 T Kontvre tacƒasti oslonaca ˆ oro 1~ 2~ 9~ 22~ 24~ 25~ 33~ 39 1

134 Izometrija ispozicija ramo a

135 Ram: H_1 Ram: V_1

136 Ram: V_2 Ram: V_3

137 Ram: V_4 Pogled: š L ŠR 4

138 Pogled: KR V Pogled: bolder 1

139 Pogled: platofmra

140 Ulazni podaci - Opterecenje Lista slvcaje a opterecenja o,<> 1 postojan?gb 2 promenli 3 Sx 4 (E</.: I o,<> 5 (E</.: I II 6 (E</.: I III 7 (E</.: I II III pt. 1: postojan?gb Ram: H_1

141 pt. 1: postojan?gb Pogled: platofmra pt. 2: promenli Ram: H_1

142 pt. 2: promenli Pogled: platofmra

143 Modalna analiza Napredne opcije seizmickog proracuna: Spreceno oscilo anje v œ pra cv aƒtori opterecenja za proracvn masa o,<> (E> ` `>hq 1 postojan?gb promenli 0.50 Raspored masa po isini objeƒta i o œ Žm Žm Žm asa ŽT TŒm Uƒvpno: Periodi oscilo anja ƒonstrvƒcije o T Žs f ŽHz

144 Seizmicki proracun Seizmicƒi proracvn: JUS?Šƒ i alentno staticƒo opterecenjeb Kategorija tla: II Seizmicƒa zona: VIII?Ks = 0.050B Kategorija objeƒta: II Vrsta ƒonstrvƒcije: 1 Kota vƒljestenja: œd = 0.00 m Ugao dejst a zemljotresa:,<> T Žsec α Ž Sx Raspored seizmicƒi sila po isini objeƒta?sxb i o œ Žm S Žƒ Σ= 2.19 Raspored masa po isini objeƒta i o œ Žm Žm Žm asa ŽT TŒm Uƒvpno:

145 Dimenzionisanje (celik) Kontrola napona Ram: V_1 Kontrola napona Ram: V_2

146 Kontrola napona Ram: V_3 Kontrola napona Ram: V_A

147 Ram: H_1 Kontrola napona Pogled: platofmra Kontrola napona

148 Ram: H_1 Kontrola stabilnosti Ram: V_1 Kontrola stabilnosti

149 Ram: V_2 Kontrola stabilnosti Ram: V_3 Kontrola stabilnosti

150 Ram: V_A Kontrola stabilnosti Pogled: platofmra Kontrola stabilnosti

151 !"#$%&3

152 Sadrzaj Osnovni podaci o modelu 2 Ulazni podaci Ulazni podaci - Konstrukcija 3 Ulazni podaci - Opterecenje 13 Rezultati Modalna analiza 16 Seizmicki proracun 17 Dimenzionisanje (celik) 18

153 Osnovni podaci o modelu Datoteka: bolder 3.twp Datum proracuna: Nacin proracuna: 3D model X Teorija I-og reda X Modalna analiza Stabilnost Teorija II-og reda X Seizmicki proracun Faze gradjenja Nelinearan proracun Velicina modela Broj cvorova: 48 Broj plocastih elemenata: 0 Broj grednih elemenata: 96 Broj granicnih elemenata: 60 Broj osnovnih slucajeva opterecenja: 3 Broj kombinacija opterecenja: 4 Jedinice mera Duzina: Sila: Temperatura: m [cm,mm] kn Celsius

154 Ulazni podaci - Konstrukcija Izometrija

155 Koordinate cvorova No X [m] Y [m] Z [m] No X [m] Y [m] Z [m] No X [m] Y [m] Z [m] Tabela materijala No Naziv materijala E[kN/m2] µ γ[kn/m3] αt[1/c] Em[kN/m2] µm 1!eliku 2.100e e e Setovi 1 Presek: HOP [] 60x60x4, Fiktivna ekscentricnost Mat. A1 A2 A3 I1 I2 I !eliku 8.550e e e e e e-7 6 T Presek: 2xL 60x60x8, Fiktivna ekscentricnost Mat. A1 A2 A3 I1 I2 I !eliku 1.806e e e e e e-6 "2 T2 T T1 3 No Presek 3 [cm] 2 [cm] α Mat. 1 L 60x60x L 60x60x " T L 60x60x8 3 Presek: HOP [] 40x40x3, Fiktivna ekscentricnost Mat. A1 A2 A3 I1 I2 I !eliku 4.210e e e e e e-8 4 T [cm] Setovi tackastih oslonaca K,R1 K,R2 K,R3 K,M1 K,M2 K,M e e e e e e+10 Konture 1. HOP [] 60x60x4 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T

156 Konture greda 1. HOP [] 60x60x4 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture 2. 2xL 60x60x8 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture 3. HOP [] 40x40x3 Oslobadjanje uticaja No Cvor I Cvor J Cvor I Cvor J M Ozn. pozicije M1 M2 M3 N1 T2 T3 M1 M2 M3 N1 T2 T Konture tackastih oslonaca 1, 2, 6, 12, 15, 18, 26, 38, 46, 48 1

157 Ravan: 2 Dispozicija ramova

158 Ram: H_1 Ram: H_2

159 Ram: V_5 Ram: V_1

160 Ram: V_2 Ram: V_3

161 Ram: V_4 Ram: V_6

162 Pogled: platofrma Pogled: krov

163 Pogled: 1 Pogled: 2

164 Ulazni podaci - Opterecenje Lista slucajeva opterecenja No #$% 1 postojan (g) 2 promenliv 3 Sx 4 &'$*.: I Opt. 1: postojan (g) No #$% 5 &'$*.: I+II 6 &'$*.: I+III 7 &'$*.: I+II+III Ram: H_2

165 Opt. 1: postojan (g) Pogled: platofrma Opt. 2: promenliv Ram: H_2

166 Opt. 2: promenliv Pogled: platofrma

167 Modalna analiza Napredne opcije seizmickog proracuna: Spreceno oscilovanje u Z pravcu Faktori opterecenja za proracun masa No #$% &'%;<=<%>? 1 postojan (g) promenliv 0.50 Raspored masa po visini objekta Nivo Z [m] X [m] Y [m] Masa [T] T/m Ukupno: Periodi oscilovanja konstrukcije No T [s] f [Hz]

168 Seizmicki proracun Seizmicki proracun: JUS (Ekvivalentno staticko opterecenje) Kategorija tla: II Seizmicka zona: VIII (Ks = 0.050) Kategorija objekta: II Vrsta konstrukcije: 1 Kota ukljestenja: Zd = 0.00 m Ugao dejstva zemljotresa:!"# T [sec] α [ ] Sx Raspored seizmickih sila po visini objekta (Sx) Nivo Z [m] S [kn] Σ= 1.90 Raspored masa po visini objekta Nivo Z [m] X [m] Y [m] Masa [T] T/m Ukupno:

169 Dimenzionisanje (celik) Ram: H_1 Kontrola napona Ram: H_2 Kontrola napona

170 Ram: V_5 Kontrola napona Ram: V_1 Kontrola napona

171 Ram: V_2 Kontrola napona Ram: V_3 Kontrola napona

172 Ram: V_A Kontrola napona Ram: V_6 Kontrola napona

173 Pogled: platofrma Kontrola napona Pogled: krov Kontrola napona

174 Pogled: 1 Kontrola napona Pogled: 2 Kontrola napona

175 Ram: H_1 Kontrola stabilnosti Ram: H_2 Kontrola stabilnosti

176 Ram: V_5 Kontrola stabilnosti Ram: V_1 Kontrola stabilnosti

177 Ram: V_2 Kontrola stabilnosti Ram: V_3 Kontrola stabilnosti

178 Ram: V_A Kontrola stabilnosti Ram: V_6 Kontrola stabilnosti

179 Pogled: platofrma Kontrola stabilnosti Pogled: krov Kontrola stabilnosti

180 Pogled: 1 Kontrola stabilnosti Pogled: 2 Kontrola stabilnosti

181 STAP 33-24!"!#$%$&!#$'$(: 2L 60x60x8 )$"*$+#,'(, (-#-(+$#,'+,(, &-!#$'$("+ ("&+#"[- &- \$M"#*-O,, *C]^`<CF>h jd`/ hc ^qcueq w = mm?^fj{c hc EuqE}C;j}C~> 5 hc 41.7 cm E ue{>qe]eq hc ^qcueqb y T z Ax = Ay = Az = Iz = Iy = Ix = cm cm cm cm cm cm4 '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?uE{>qE] hc ^qcueqb!;>^<>q]e}hc he;<cfhc ^`FC ƒ = kƒ *E<>hq hc ^E}`q]j}C~> E]EFj z E^]C z = G0.677 kƒm *E<>hq hc ^E}`q]j}C~> E]EFj y E^]C y = kƒm +;Ch^}>; CFhC ^`FC }E z u;c}> Tz = G0.036 kƒ +;Ch^}>; CFhC ^`FC }E y u;c}> Ty = G3.093 kƒ '`^q><^]c EF `hc hc ^qcueq L = cm '+-!, ["ˆ$& &- -+$)&XW-Y$, '"W,+(XW-Y$ &E;<CF>h hcueh σ_max = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 Контрола на напонот: V_max <= V_doz #./;.,<> zt?mmb yt?mmb CDEF 1. L 60x60x8 G G L 60x60x G0.0 M-(+"#, &-,'("#,'+$&"'+!" ("*N,&-O,Q- &- "!+"W-#XW-Y- 5. Z= Z= Z= Z=0.04 ("&+#"[- &- '!"#$\N$& &-!"& &E;<CF>h hcueh σ = kƒ cm2 &CuEh hc ^<EF]hj}C~> τ = kƒ cm2 *C]^`<CF>h ^ue;> />h hcueh σ wp = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 Контрола на напонот: V,up V_dop STAP 10-16!"!#$%$&!#$'$(: HŠP Œ )$"*$+#,'(, (-#-(+$#,'+,(, &-!#$'$("+ 6 0 T y 4 z Ax = Ay = Az = Iz = Iy = Ix = z = y = cm cm cm cm cm cm cm cm3 WF`. hc }]juhcqc `<u>; >] ` C hc ^qcueq Knz = WF`. hc }]juhcqc `<u>; >] ` C hc ^qcueq Kny = " he^ b = = 10 #C^qE Ch`> hc }`Fj ]C^q`q> ueque;` L_vil.. = cm );Ch`{hC };> he^q hc ;C^q. hc ueque;`q> l_cr = cm L_vil. l_cr );Ch`{>h hcueh σ_d = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 (E>. C DEF><j}C~> hc }F`. E /. `. θ = &E;<CF>h hcueh E ƒ σ?ƒb = kƒ cm2 &E;<CF>h hcueh E z σ? zb = kƒ cm2 &E;<CF>h hcueh E y σ? yb = kƒ cm2 *C]^`<CF>h hcueh σ_max = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 Контрола на напонот: V_max <= V_doz &CuEh hc ^<EF]hj}C~> τ = kƒ cm2 \E }EF>h hcueh hc ^<EF]hj}C~> τ_doz = kƒ cm2 6 0 Контрола на напонот: W <= W_doz m m Œ ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U , /E{j}C~> hc ;>/;EqE hc HŠP Š?F>.B M-(+"#, &-,'("#,'+$&"'+!" ("*N,&-O,Q- &- "!+"W-#XW-Y- 5. Z= Z= Z= Z=0.01 ("&+#"[- &- \$M"#*-O,, *C]^`<CF>h jd`/ hc ^qcueq w = mm?^fj{c hc EuqE}C;j}C~> 7 ue{>qe] hc ^qcueqb '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?];C hc ^qcueqb!;>^<>q]e}hc he;<cfhc ^`FC ƒ = G0.075 kƒ *E<>hq hc ^E}`q]j}C~> E]EFj z E^]C z = G0.010 kƒm *E<>hq hc ^E}`q]j}C~> E]EFj y E^]C y = G0.005 kƒm +;Ch^}>; CFhC ^`FC }E z u;c}> Tz = G0.009 kƒ +;Ch^}>; CFhC ^`FC }E y u;c}> Ty = kƒ '`^q><^]c EF `hc hc ^qcueq L = cm \EF. hc ` }`}. E]EFj z E^]C li z = cm \EF. hc ` }`}. E]EFj y E^]C li y = cm (;`}C hc ` }`}C~C C z E^]C Ž (;`}C hc ` }`}C~> C y E^]C Ž '+-!, ["ˆ$& &-!#,+,'"(, '"W,+(XW-Y$ ("&+#"[- &- '+-N.!#, $('O.!#,+,'"( *US U #C `j^ hc `h>; ` C i z = cm #C `j^ hc `h>; ` C i y = cm W`q]E^q λz = W`q]E^q λy = #>FCq`}hC }`q]e^q λ z = #>FCq`}hC }`q]e^q λ y = #>FCq`}>h hcueh σ = (E>. C}`^>h E E/F`]Eq hc z β = N> `<>h `EhCF>h ]E> ` `>hq κ z = N> `<>h `EhCF>h ]E> ` `>hq κ y = (E> ` `>hq C DEF><j}C~> hc }F` Ch` CqC Kmz = (E> ` `>hq C DEF><j}C~> hc }F` Ch` CqC Kmy = \`<>h `` hc F`<Eq a b t = ?cmB &C{`h hc E^FEhj}C~> - " he^ a b α = #C/>h he;<cf>h hcueh }E F`<Eq σ1 = G0.118 kƒ cm2 #C/>h he;<cf>h hcueh }E F`<Eq σ2 = kƒ cm2 " he^ σ1 σ2 Ψ = G0.208 (E> ` `>hq hc ` /E{j}C~> k_σ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> σ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pσ = N> `<. ]E>. hc ` /E{j}C~> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq`}>h D;Ch`{>h hcueh σ w = );Ch`{>h hcueh hc ` /E{j}C~> σ_w = kƒ cm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = kƒ cm2 Контрола на напонот: V <= V_u (E> ` `>hq hc ` /E{j}C~> k_τ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> τ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pτ = N> `<. ]E>. hc ` /E{j}C~> κ_pτ = (E;>] `Eh>h C]qE; c_τ = (;`q`{>h hcueh hc ` /E{j}C~> τ_cr = kƒ cm2 #>FCq`}>h D;Ch`{>h hcueh τ w = );Ch`{>h hcueh hc ` /E{j}C~> τ_w = kƒ cm2 MC]qE;`;Ch hcueh hc ^<EF]hj}C~> τ = kƒ cm2 Контрола на напонот: W <= W_u (E</`h`;ChC hcueh^]c ^E^qE /C σ 2 = Контрола на напонот: V 2 <= 1 ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U , /E{j}C~> hc EFh`Eq ue C^ hc HŠP Š \`<>h `` hc F`<Eq a b t = ?cmB &C{`h hc E^FEhj}C~> - " he^ a b α =

182 #C/>h he;<cf>h hcueh }E F`<Eq σ1 = G0.118 kƒ cm2 (E;>] `Eh>h C]qE; c_τ = #C/>h he;<cf>h hcueh }E F`<Eq σ2 = G0.042 kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> τ_cr = kƒ cm2 " he^ σ1 σ2 Ψ = #>FCq`}>h D;Ch`{>h hcueh τ w = (E> ` `>hq hc ` /E{j}C~> k_σ = );Ch`{>h hcueh hc ` /E{j}C~> τ_w = kƒ cm2 " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 MC]qE;`;Ch hcueh hc ^<EF]hj}C~> τ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> σ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pσ = Контрола на напонот: W <= W_u N> `<. ]E>. hc ` /E{j}C~> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = (E</`h`;ChC hcueh^]c ^E^qE /C σ 2 = #>FCq`}>h D;Ch`{>h hcueh σ w = Контрола на напонот: V 2 <= 1 );Ch`{>h hcueh hc ` /E{j}C~> σ_w = kƒ cm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = kƒ cm2 ("&+#"[- &- '!"#$\N$& &-!"& Контрола на напонот: V <= V_u (E> ` `>hq hc ` /E{j}C~> k_τ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> τ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pτ = N> `<. ]E>. hc ` /E{j}C~> κ_pτ = STAP 6-20!"!#$%$&!#$'$(: HŠP Œ &E;<CF>h hcueh σ = kƒ cm2 &CuEh hc ^<EF]hj}C~> τ = kƒ cm2 *C]^`<CF>h ^ue;> />h hcueh σ wp = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 Контрола на напонот: V,up V_dop ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U , /E{j}C~> hc ;>/;EqE hc HŠP Š?F>.B )$"*$+#,'(, (-#-(+$#,'+,(, &-!#$'$("+ y 6 0 T z Ax = Ay = Az = Iz = Iy = Ix = y = cm cm cm cm cm cm cm3 \`<>h `` hc F`<Eq a b t = ?cmB &C{`h hc E^FEhj}C~> - " he^ a b α = #C/>h he;<cf>h hcueh }E F`<Eq σ1 = G0.483 kƒ cm2 #C/>h he;<cf>h hcueh }E F`<Eq σ2 = G0.483 kƒ cm2 " he^ σ1 σ2 Ψ = (E> ` `>hq hc ` /E{j}C~> k_σ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> σ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pσ = N> `<. ]E>. hc ` /E{j}C~> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq`}>h D;Ch`{>h hcueh σ w = );Ch`{>h hcueh hc ` /E{j}C~> σ_w = kƒ cm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = kƒ cm2 Контрола на напонот: V <= V_u m m Œ ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U , /E{j}C~> hc ;>/;EqE hc HŠP Š? >.B M-(+"#, &-,'("#,'+$&"'+!" ("*N,&-O,Q- &- "!+"W-#XW-Y- 5. Z= Z= Z= Z=0.02 ("&+#"[- &- \$M"#*-O,, *C]^`<CF>h jd`/ hc ^qcueq w = mm?^fj{c hc EuqE}C;j}C~> 7 ue{>qe] hc ^qcueqb '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?];C hc ^qcueqb!;>^<>q]e}hc he;<cfhc ^`FC ƒ = G4.757 kƒ *E<>hq hc ^E}`q]j}C~> E]EFj y E^]C y = kƒm +;Ch^}>; CFhC ^`FC }E z u;c}> Tz = kƒ '`^q><^]c EF `hc hc ^qcueq L = cm \EF. hc ` }`}. E]EFj z E^]C li z = cm \EF. hc ` }`}. E]EFj y E^]C li y = cm (;`}C hc ` }`}C~C C z E^]C Ž (;`}C hc ` }`}C~> C y E^]C Ž '+-!, ["ˆ$& &-!#,+,'"(, '"W,+(XW-Y$ ("&+#"[- &- '+-N.!#, $('O.!#,+,'"( *US U #C `j^ hc `h>; ` C i z = cm #C `j^ hc `h>; ` C i y = cm W`q]E^q λz = W`q]E^q λy = #>FCq`}hC }`q]e^q λ z = #>FCq`}hC }`q]e^q λ y = #>FCq`}>h hcueh σ = (E>. C}`^>h E E/F`]Eq hc z β = N> `<>h `EhCF>h ]E> ` `>hq κ z = N> `<>h `EhCF>h ]E> ` `>hq κ y = (E> ` `>hq C DEF><j}C~> hc }F` Ch` CqC Kmz = (E> ` `>hq C DEF><j}C~> hc }F` Ch` CqC Kmy = WF`. hc }]juhcqc `<u>; >] ` C hc ^qcueq Knz = WF`. hc }]juhcqc `<u>; >] ` C hc ^qcueq Kny = " he^ b = = 10 #C^qE Ch`> hc }`Fj ]C^q`q> ueque;` L_vil.. = cm );Ch`{hC };> he^q hc ;C^q. hc ueque;`q> l_cr = cm L_vil. l_cr );Ch`{>h hcueh σ_d = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 (E>. C DEF><j}C~> hc }F`. E /. `. θ = &E;<CF>h hcueh E ƒ σ?ƒb = kƒ cm2 &E;<CF>h hcueh E y σ? yb = kƒ cm2 *C]^`<CF>h hcueh σ_max = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 Контрола на напонот: V_max <= V_doz \`<>h `` hc F`<Eq a b t = ?cmB &C{`h hc E^FEhj}C~> - " he^ a b α = #C/>h he;<cf>h hcueh }E F`<Eq σ1 = G0.629 kƒ cm2 #C/>h he;<cf>h hcueh }E F`<Eq σ2 = G0.629 kƒ cm2 " he^ σ1 σ2 Ψ = (E> ` `>hq hc ` /E{j}C~> k_σ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> σ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pσ = N> `<. ]E>. hc ` /E{j}C~> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq`}>h D;Ch`{>h hcueh σ w = );Ch`{>h hcueh hc ` /E{j}C~> σ_w = kƒ cm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = kƒ cm2 Контрола на напонот: V <= V_u ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U , /E{j}C~> hc ue C^Eq hc HŠP Š \`<>h `` hc F`<Eq a b t = ?cmB &C{`h hc E^FEhj}C~> - " he^ a b α = #C/>h he;<cf>h hcueh }E F`<Eq σ1 = G0.629 kƒ cm2 #C/>h he;<cf>h hcueh }E F`<Eq σ2 = G0.483 kƒ cm2 " he^ σ1 σ2 Ψ = (E> ` `>hq hc ` /E{j}C~> k_σ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> σ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pσ = N> `<. ]E>. hc ` /E{j}C~> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq`}>h D;Ch`{>h hcueh σ w = );Ch`{>h hcueh hc ` /E{j}C~> σ_w = kƒ cm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = kƒ cm2 Контрола на напонот: V <= V_u ("&+#"[- &- '!"#$\N$& &-!"& &E;<CF>h hcueh σ = kƒ cm2 &CuEh hc ^<EF]hj}C~> τ = kƒ cm2 *C]^`<CF>h ^ue;> />h hcueh σ wp = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 Контрола на напонот: V,up V_dop '[X%-Q &- "!+"W-#XW-Y$: 7 M-(+"# &- ',)X#&"'+ : 1.20 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?];C hc ^qcueqb

183 !;>^<>q]e}hc he;<cfhc ^`FC ƒ = G4.796 kƒ *E<>hq hc ^E}`q]j}C~> E]EFj z E^]C z = kƒm *E<>hq hc ^E}`q]j}C~> E]EFj y E^]C y = kƒm +;Ch^}>; CFhC ^`FC }E z u;c}> Tz = kƒ +;Ch^}>; CFhC ^`FC }E y u;c}> Ty = G0.013 kƒ '`^q><^]c EF `hc hc ^qcueq L = cm ("&+#"[- &- '+-N,[&"'+- N"%&", W,W-Y$ *US U " he^ b = = 10 STAP 20-34!"!#$%$&!#$'$(: HŠP Œ )$"*$+#,'(, (-#-(+$#,'+,(, &-!#$'$("+ 4 0 T 4 0 y 3 z m m Œ Ax = Ay = Az = Iz = Iy = Ix = z = y = cm cm cm cm cm cm cm cm3 M-(+"#, &-,'("#,'+$&"'+!" ("*N,&-O,Q- &- "!+"W-#XW-Y- 5. Z= Z= Z= Z=0.03 ("&+#"[- &- \$M"#*-O,, *C]^`<CF>h jd`/ hc ^qcueq w = mm?^fj{c hc EuqE}C;j}C~> 7 ];C hc ^qcueqb #C^qE Ch`> hc }`Fj ]C^q`q> ueque;` L_vil.. = cm );Ch`{hC };> he^q hc ;C^q. hc ueque;`q> l_cr = cm L_vil. l_cr );Ch`{>h hcueh σ_d = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 W`^q`h^]` hcuehghe ` C σ_vis= kƒ cm2 Контрола на напонот: V_vis <= V_doz ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U , /E{j}C~> hc ;>/;EqE hc HŠP Š?F>.B \`<>h `` hc F`<Eq a b t = ?cmB &C{`h hc E^FEhj}C~> - " he^ a b α = #C/>h he;<cf>h hcueh }E F`<Eq σ1 = G1.408 kƒ cm2 #C/>h he;<cf>h hcueh }E F`<Eq σ2 = G0.693 kƒ cm2 " he^ σ1 σ2 Ψ = (E> ` `>hq hc ` /E{j}C~> k_σ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> σ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pσ = N> `<. ]E>. hc ` /E{j}C~> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq`}>h D;Ch`{>h hcueh σ w = );Ch`{>h hcueh hc ` /E{j}C~> σ_w = kƒ cm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = kƒ cm2 Контрола на напонот: V <= V_u (E> ` `>hq hc ` /E{j}C~> k_τ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> τ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pτ = N> `<. ]E>. hc ` /E{j}C~> κ_pτ = (E;>] `Eh>h C]qE; c_τ = (;`q`{>h hcueh hc ` /E{j}C~> τ_cr = kƒ cm2 #>FCq`}>h D;Ch`{>h hcueh τ w = );Ch`{>h hcueh hc ` /E{j}C~> τ_w = kƒ cm2 MC]qE;`;Ch hcueh hc ^<EF]hj}C~> τ = kƒ cm2 Контрола на напонот: W <= W_u '[X%-Q &- "!+"W-#XW-Y$: 5 M-(+"# &- ',)X#&"'+ : 1.50 \" W"[$& &-!"& : *$#"\-W&, W[,Q-&,Q-?uE{>qE] hc ^qcueqb!;>^<>q]e}hc he;<cfhc ^`FC ƒ = G4.647 kƒ *E<>hq hc ^E}`q]j}C~> E]EFj z E^]C z = G0.015 kƒm *E<>hq hc ^E}`q]j}C~> E]EFj y E^]C y = kƒm +;Ch^}>; CFhC ^`FC }E z u;c}> Tz = G0.002 kƒ +;Ch^}>; CFhC ^`FC }E y u;c}> Ty = G0.032 kƒ '`^q><^]c EF `hc hc ^qcueq L = cm \EF. hc ` }`}. E]EFj z E^]C li z = cm \EF. hc ` }`}. E]EFj y E^]C li y = cm (;`}C hc ` }`}C~C C z E^]C Ž (;`}C hc ` }`}C~> C y E^]C Ž '+-!, ["ˆ$& &-!#,+,'"(, '"W,+(XW-Y$ ("&+#"[- &- '+-N.!#, $('O.!#,+,'"( *US U #C `j^ hc `h>; ` C i z = cm #C `j^ hc `h>; ` C i y = cm W`q]E^q λz = W`q]E^q λy = #>FCq`}hC }`q]e^q λ z = #>FCq`}hC }`q]e^q λ y = #>FCq`}>h hcueh σ = (E>. C}`^>h E E/F`]Eq hc z β = N> `<>h `EhCF>h ]E> ` `>hq κ z = N> `<>h `EhCF>h ]E> ` `>hq κ y = (E> ` `>hq C DEF><j}C~> hc }F` Ch` CqC Kmz = (E> ` `>hq C DEF><j}C~> hc }F` Ch` CqC Kmy = WF`. hc }]juhcqc `<u>; >] ` C hc ^qcueq Knz = WF`. hc }]juhcqc `<u>; >] ` C hc ^qcueq Kny = X^}E>h ]E>. C DEF><. hc }F` Ch` CqC Kmz = X^}E>h ]E>. C DEF><. hc }F` Ch` CqC Kmy = X^}E>hE }F` Ch`> hc }]. `<u>; >] ` C Kn = " he^ b = = 10 #C^qE Ch`> hc }`Fj ]C^q`q> ueque;` L_vil.. = cm );Ch`{hC };> he^q hc ;C^q. hc ueque;`q> l_cr = cm L_vil. l_cr );Ch`{>h hcueh σ_d = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 (E>. C DEF><j}C~> hc }F`. E /. `. θ = &E;<CF>h hcueh E ƒ σ?ƒb = kƒ cm2 &E;<CF>h hcueh E z σ? zb = kƒ cm2 &E;<CF>h hcueh E y σ? yb = kƒ cm2 *C]^`<CF>h hcueh σ_max = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 Контрола на напонот: V_max <= V_doz &CuEh hc ^<EF]hj}C~> τ = kƒ cm2 \E }EF>h hcueh hc ^<EF]hj}C~> τ_doz = kƒ cm2 Контрола на напонот: W <= W_doz (E</`h`;ChC hcueh^]c ^E^qE /C σ 2 = Контрола на напонот: V 2 <= 1 ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U , /E{j}C~> hc ;>/;EqE hc HŠP Š? >.B \`<>h `` hc F`<Eq a b t = ?cmB &C{`h hc E^FEhj}C~> - " he^ a b α = #C/>h he;<cf>h hcueh }E F`<Eq σ1 = G1.515 kƒ cm2 #C/>h he;<cf>h hcueh }E F`<Eq σ2 = G0.800 kƒ cm2 " he^ σ1 σ2 Ψ = (E> ` `>hq hc ` /E{j}C~> k_σ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> σ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pσ = N> `<. ]E>. hc ` /E{j}C~> κ_pσ = (E;>] `Eh>h C]qE; c_σ = (E;>] `Eh>h C]qE; f = #>FCq`}>h D;Ch`{>h hcueh σ w = );Ch`{>h hcueh hc ` /E{j}C~> σ_w = kƒ cm2 MC]qE;`;Ch hcueh hc u;`q`^e] σ = kƒ cm2 Контрола на напонот: V <= V_u (E> ` `>hq hc ` /E{j}C~> k_τ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> τ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pτ = N> `<. ]E>. hc ` /E{j}C~> κ_pτ = (E;>] `Eh>h C]qE; c_τ = (;`q`{>h hcueh hc ` /E{j}C~> τ_cr = kƒ cm2 #>FCq`}>h D;Ch`{>h hcueh τ w = );Ch`{>h hcueh hc ` /E{j}C~> τ_w = kƒ cm2 MC]qE;`;Ch hcueh hc ^<EF]hj}C~> τ = kƒ cm2 Контрола на напонот: W <= W_u (E</`h`;ChC hcueh^]c ^E^qE /C σ 2 = Контрола на напонот: V 2 <= 1 ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U , /E{j}C~> hc DE;h`Eq ue C^ hc HŠP Š \`<>h `` hc F`<Eq a b t = ?cmB &C{`h hc E^FEhj}C~> - " he^ a b α = #C/>h he;<cf>h hcueh }E F`<Eq σ1 = G0.800 kƒ cm2 #C/>h he;<cf>h hcueh }E F`<Eq σ2 = G0.693 kƒ cm2 " he^ σ1 σ2 Ψ = (E> ` `>hq hc ` /E{j}C~> k_σ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 (;`q`{>h hcueh hc ` /E{j}C~> σ_cr = kƒ cm2 #>FCq`}hC }`q]e^q hc ufe{c λ pσ = 0.229

184 N> `<. ]E>. hc ` /E{j}C~> κ_pσ = (;`q`{>h hcueh hc ` /E{j}C~> σ_cr = kƒ cm2 (E;>] `Eh>h C]qE; c_σ = #>FCq`}hC }`q]e^q hc ufe{c λ pσ = (E;>] `Eh>h C]qE; f = N> `<. ]E>. hc ` /E{j}C~> κ_pσ = #>FCq`}>h D;Ch`{>h hcueh σ w = (E;>] `Eh>h C]qE; c_σ = );Ch`{>h hcueh hc ` /E{j}C~> σ_w = kƒ cm2 (E;>] `Eh>h C]qE; f = MC]qE;`;Ch hcueh hc u;`q`^e] σ = kƒ cm2 #>FCq`}>h D;Ch`{>h hcueh σ w = );Ch`{>h hcueh hc ` /E{j}C~> σ_w = kƒ cm2 Контрола на напонот: V <= V_u MC]qE;`;Ch hcueh hc u;`q`^e] σ = kƒ cm2 ("&+#"[- &- '+-N,[&"'+ &-, N"%XW-Y$ &- [,*"W,+$ US U , /E{j}C~> hc EFh`Eq ue C^ hc HŠP Š \`<>h `` hc F`<Eq a b t = ?cmB &C{`h hc E^FEhj}C~> - " he^ a b α = #C/>h he;<cf>h hcueh }E F`<Eq σ1 = G1.515 kƒ cm2 #C/>h he;<cf>h hcueh }E F`<Eq σ2 = G1.408 kƒ cm2 " he^ σ1 σ2 Ψ = (E> ` `>hq hc ` /E{j}C~> k_σ = " F>;E} hcueh hc ` /E{j}C~> hc F`<Eq σ_ = kƒ cm2 Контрола на напонот: V <= V_u ("&+#"[- &- '!"#$\N$& &-!"& &E;<CF>h hcueh σ = kƒ cm2 &CuEh hc ^<EF]hj}C~> τ = kƒ cm2 *C]^`<CF>h ^ue;> />h hcueh σ wp = kƒ cm2 \E }EF>h hcueh σ_doz = kƒ cm2 Контрола на напонот: V,up V_dop

185 !"#$%&4

186 Sadrzaj Šsnovni podaci o modelw 2 Ulazni podaci Ulazni podaci G Konstrwkci a 3 Ulazni podaci G Špterecen e 12 Rezwltati odalna analiza 14 Seizmicki proracwn 15 imenzionisan e?celikb 16

187 Osnovni podaci o modelu atoteka: bolder 4.t p atwm proracwna: ƒacin proracwna: 3 model Teori a IGog reda odalna analiza Stabilnost Teori a IIGog reda Seizmicki proracwn aze grad en a ƒelinearan proracwn Velicina modela šro cvorova: 69 šro plocasti elemenata: 0 šro gredni elemenata: 136 šro granicni elemenata: 84 šro osnovni slwca eva opterecen a: 3 šro kombinaci a opterecen a: 4 Jedinice mera wzina: Sila: Temperatwra: m cm mmœ kƒ Želsiws

188 Ulazni podaci - Konstrukcija Izometri a

189 Koordinate cvorova ƒo mœ mœ œ mœ 1 G G G G G G G G G G ƒo mœ mœ œ mœ G G G G G ƒo mœ mœ œ mœ G Tabela materi ala ƒo ƒaziv materi ala kƒ m2œ µ γ kƒ m3œ αt 1 ŽŒ m kƒ m2œ µm 1 elikw 2.100e eG e Setovi 1 Presek: HŠP Œ 60x60x4 iktivna ekscentricnost at. A1 A2 A3 I1 I2 I3 2 1 G elikw 8.550eG eG eG eG eG eG7 6 T Presek: HŠP Œ 40x40x3 iktivna ekscentricnost at. A1 A2 A3 I1 I2 I3 2 1 G elikw 4.210eG eG eG eG eG eG8 4 T Presek: 2xL 60x60x8 iktivna ekscentricnost at. A1 A2 A3 I1 I2 I3 2 1 G elikw 1.806eG eG eG eG eG eG6 ž2 T2 T T1 3 ƒo Presek 3 cmœ 2 cmœ α at. 1 L 60x60x G L 60x60x ž T L 60x60x8 6 Presek: HŠP Œ 60x60x4 iktivna ekscentricnost at. A1 A2 A3 I1 I2 I3 2 1 G elikw 8.550eG eG eG eG eG eG7 6 T cmœ

190 Setovi tackasti oslonaca K R1 K R2 K R3 K 1 K 2 K e e e e e e 10 Kontwre 1. HŠP Œ 60x60x4 Šslobad an e wtica a ƒo Žvor I Žvor J Žvor I Žvor J Šzn. pozici e ƒ1 T2 T ƒ1 T2 T Kontwre 2. HŠP Œ 40x40x3 Šslobad an e wtica a ƒo Žvor I Žvor J Žvor I Žvor J Šzn. pozici e ƒ1 T2 T ƒ1 T2 T Kontwre 3. 2xL 60x60x8 Šslobad an e wtica a ƒo Žvor I Žvor J Žvor I Žvor J Šzn. pozici e ƒ1 T2 T ƒ1 T2 T Kontwre 6. HŠP Œ 60x60x4 Šslobad an e wtica a ƒo Žvor I Žvor J Žvor I Žvor J Šzn. pozici e ƒ1 T2 T ƒ1 T2 T

191 Kontwre greda 6. HŠP Œ 60x60x4 Šslobad an e wtica a ƒo Žvor I Žvor J Žvor I Žvor J Šzn. pozici e ƒ1 T2 T ƒ1 T2 T Kontwre tackasti oslonaca ispozici a ramova

192 Ram: H_1 Ram: V_1

193 Ram: V_2 Ram: V_3

194 Ram: V_4 Ram: V_5

195 Ram: V_6 Ram: V_7

196 Pogled: bolder4

197 Ulazni podaci - Opterecenje Lista slwca eva opterecen a ƒo,<> 1 posto an?gb 2 promenliv 3 Sx 4 (E</.: I ƒo,<> 5 (E</.: I II 6 (E</.: I III 7 (E</.: I II III Špt. 1: posto an?gb Pogled: bolder4

198 Špt. 2: promenliv Pogled: bolder4

199 Modalna analiza Napredne opcije seizmickog proracuna: Spreceno oscilovan e w œ pravcw aktori opterecen a za proracwn masa ƒo,<> (E> ` `>hq 1 posto an?gb promenliv 0.50 Raspored masa po visini ob ekta ƒivo œ mœ mœ mœ asa TŒ T m Ukwpno: Periodi oscilovan a konstrwkci e ƒo T sœ f HzŒ

200 Seizmicki proracun Seizmicki proracwn: JUS? kvivalentno staticko opterecen eb Kategori a tla: II Seizmicka zona: VIII?Ks = 0.050B Kategori a ob ekta: II Vrsta konstrwkci e: 1 Kota wkl esten a: œd = 0.00 m Ugao de stva zeml otresa:,<> T secœ α Œ Sx Raspored seizmicki sila po visini ob ekta?sxb ƒivo œ mœ S kƒœ Σ= 3.35 Raspored masa po visini ob ekta ƒivo œ mœ mœ mœ asa TŒ T m Ukwpno:

201 Dimenzionisanje (celik) Ram: H_1 Kontrola napona Ram: V_1 Kontrola napona

202 Ram: V_2 Kontrola napona Ram: V_3 Kontrola napona

203 Ram: V_A Kontrola napona Ram: V_5 Kontrola napona

204 Ram: V_6 Kontrola napona Ram: V_7 Kontrola napona

205 Pogled: boldera Kontrola napona Ram: H_1 Kontrola stabilnosti

206 Ram: V_1 Kontrola stabilnosti Ram: V_2 Kontrola stabilnosti

207 Ram: V_3 Kontrola stabilnosti Ram: V_A Kontrola stabilnosti

208 Ram: V_5 Kontrola stabilnosti Ram: V_6 Kontrola stabilnosti

209 Ram: V_7 Kontrola stabilnosti Pogled: boldera Kontrola stabilnosti

210 STAP 62-47! ": HOP [] 60x60x4 # $ % &!"& "' '"% &!%&"& '! " % 6 0 T 6 0 y 4 z [m m ] Ax = Ay = Az = Iz = Iy = Ix = Wz = Wy = cm cm cm cm cm cm cm cm3 ('"% & ' &!" &!%!% " $)& '*&+' ' %,' -,'/' 5. ;= ;= ;= ;=0.01 " % <' ' > ( $'*&& $?BCDE?FGK LMDN K? CQ?RVQ u = mm XCFLY?Z K? VRQV\?^L\?_G 5` RVYGQVB K? CQ?RVQa " % <' '!%')&<!% ' &b) -,'/ ' <&$,&% fus U.r &gnvyl\?_g K? ^GN^VQV K? HOP O XFG.a >DEGKgDD K? FDEVQ { { = 250{6{0.4 Xcma?YDK K? VCFVKL\?_G ' ikvc { α = ?NGK KV^E?FGK K?RVK \V FDEVQ σ1 = e0.208 kd{cm2?ngk KV^E?FGK K?RVK \V FDEVQ σ2 = kd{cm2 ikvc σ1{σ2 Ψ = e1.700 "VGsDhDGKQ K? DgNVYL\?_G k σ = ZFG^V\ K?RVK K? DgNVYL\?_G K? FDEVQ σ r = kd{cm2 "^DQDYGK K?RVK K? DgNVYL\?_G σ cƒ = kd{cm2 GF?QD\K? \DQBVCQ K? RFVY? λ ˆσ = )GgiDE. BVGs. K? DgNVYL\?_G κ ˆσ = "V^GBhDVKGK s?bqv^ c σ = "V^GBhDVKGK s?bqv^ = GF?QD\GK M^?KDYGK K?RVK σ u = #^?KDYGK K?RVK K? DgNVYL\?_G σ u = kd{cm2 (?BQV^D^?K K?RVK K? R^DQDCVB σ = kd{cm2 Контрола на напонот: V <= V_u "VGsDhDGKQ K? DgNVYL\?_G k τ = ZFG^V\ K?RVK K? DgNVYL\?_G K? FDEVQ σ r = kd{cm2 "^DQDYGK K?RVK K? DgNVYL\?_G τ cƒ = kd{cm2 GF?QD\K? \DQBVCQ K? RFVY? λ ˆτ = )GgiDE. BVGs. K? DgNVYL\?_G κ ˆτ = "V^GBhDVKGK s?bqv^ c τ = "^DQDYGK K?RVK K? DgNVYL\?_G τ cƒ = kd{cm2 GF?QD\GK M^?KDYGK K?RVK τ u = #^?KDYGK K?RVK K? DgNVYL\?_G τ u = kd{cm2 (?BQV^D^?K K?RVK K? CEVFBKL\?_G τ = kd{cm2 Контрола на напонот: W <= W_u!<- '+ ' %,' -,'/ : 5 ('"% '!&#-!% : 1.50 > b, < ' : $ >', &,<&+' &+' XB^?Z K? CQ?RVQa ^GCEGQBV\K? KV^E?FK? CDF? d = e0.428 kd $VEGKQ K? CV\DQBL\?_G VBVFL z VCB? fz = e0.038 kdm $VEGKQ K? CV\DQBL\?_G VBVFL y VCB? fy = kdm %^?KC\G^g?FK? CDF? \V z R^?\Gh Tz = kd %^?KC\G^g?FK? CDF? \V y R^?\Gh Ty = kd!dcqgecb? ivfjdk? K? CQ?RVQ l = cm >VFj. K? Dg\D\. VBVFL z VCB? no`z = cm >VFj. K? Dg\D\. VBVFL y VCB? no`y = cm "^D\? K? Dg\D\?_? g? z VCB? p "^D\? K? Dg\D\?_G g? y VCB? p!%' &b< q ' &%&! " &!,&%"-,'/ " % <' '!%'). & "!*. &%&! " $US U.r7.096?iDLC K? DKG^hDZ? o`z = cm?idlc K? DKG^hDZ? o`y = cm,dqbvcq λz = ,DQBVCQ λy = GF?QD\K? \DQBVCQ λ z = GF?QD\K? \DQBVCQ λ y = GF?QD\GK K?RVK σ = "VGs.g?\DCGK Vi VNFDBVQ K? fz β = )GgiDEGKgDVK?FGK BVGsDhDGKQ κ`z = )GgiDEGKgDVK?FGK BVGsDhDGKQ κ`y = "VGsDhDGKQ g? gmvfgel\?_g K? \FDZ?KDZ?Q? tmz = "VGsDhDGKQ g? gmvfgel\?_g K? \FDZ?KDZ?Q? tmy = 1.005,FDZ. K? \BLRK?Q? DERG^sGBhDZ? K? CQ?RVQ tvz = 1.507,FDZ. K? \BLRK?Q? DERG^sGBhDZ? K? CQ?RVQ tvy = ikvc w { = }= 10?CQVZ?KDG K? \DFL~B?CQDQG RVQRV^D l on.. = cm #^?KDYK? \^GiKVCQ K? ^?CQ. K? RVQRV^DQG n cƒ = cm l on. } n cƒ #^?KDYGK K?RVK σ = kd{cm2 >Vg\VFGK K?RVK σ z = kd{cm2 "VGs. g? gmvfgel\?_g K? \FDZ. Vi N. D. θ = V^E?FGK K?RVK Vi d σxda = kd{cm2 V^E?FGK K?RVK Vi fz σxfza = kd{cm2 V^E?FGK K?RVK Vi fy σxfya = kd{cm2 $?BCDE?FGK K?RVK σ m x = kd{cm2 >Vg\VFGK K?RVK σ z = kd{cm2 Контрола на напонот: V_max <= V_doz?RVK K? CEVFBKL\?_G τ = kd{cm2 >Vg\VFGK K?RVK K? CEVFBKL\?_G τ z = kd{cm2 Контрола на напонот: W <= W_doz "VENDKD^?K? K?RVKCB? CVCQVZN? σ 2 = Контрола на напонот: V 2 <= 1 " % <' '!%')&<!% ' &b) -,'/ ' <&$,&% fus U.r &gnvyl\?_g K? ivfkdvq RVZ?C K? HOP O >DEGKgDD K? FDEVQ { { = 250{6{0.4 Xcma?YDK K? VCFVKL\?_G ' ikvc { α = ?NGK KV^E?FGK K?RVK \V FDEVQ σ1 = e0.454 kd{cm2?ngk KV^E?FGK K?RVK \V FDEVQ σ2 = e0.208 kd{cm2 ikvc σ1{σ2 Ψ = "VGsDhDGKQ K? DgNVYL\?_G k σ = ZFG^V\ K?RVK K? DgNVYL\?_G K? FDEVQ σ r = kd{cm2 "^DQDYGK K?RVK K? DgNVYL\?_G σ cƒ = kd{cm2 GF?QD\K? \DQBVCQ K? RFVY? λ ˆσ = )GgiDE. BVGs. K? DgNVYL\?_G κ ˆσ = "V^GBhDVKGK s?bqv^ c σ = "V^GBhDVKGK s?bqv^ = GF?QD\GK M^?KDYGK K?RVK σ u = #^?KDYGK K?RVK K? DgNVYL\?_G σ u = kd{cm2 (?BQV^D^?K K?RVK K? R^DQDCVB σ = kd{cm2 Контрола на напонот: V <= V_u "VGsDhDGKQ K? DgNVYL\?_G k τ = ZFG^V\ K?RVK K? DgNVYL\?_G K? FDEVQ σ r = kd{cm2 "^DQDYGK K?RVK K? DgNVYL\?_G τ cƒ = kd{cm2 GF?QD\K? \DQBVCQ K? RFVY? λ ˆτ = )GgiDE. BVGs. K? DgNVYL\?_G κ ˆτ = "V^GBhDVKGK s?bqv^ c τ = "^DQDYGK K?RVK K? DgNVYL\?_G τ cƒ = kd{cm2 GF?QD\GK M^?KDYGK K?RVK τ u = #^?KDYGK K?RVK K? DgNVYL\?_G τ u = kd{cm2 (?BQV^D^?K K?RVK K? CEVFBKL\?_G τ = kd{cm2 Контрола на напонот: W <= W_u "VENDKD^?K? K?RVKCB? CVCQVZN? σ 2 = Контрола на напонот: V 2 <= 1 " % <' '! >) ' V^E?FGK K?RVK σ = kd{cm2?rvk K? CEVFBKL\?_G τ = kd{cm2 $?BCDE?FGK CRV^GiNGK K?RVK σ`uˆ = kd{cm2 >Vg\VFGK K?RVK σ z = kd{cm2 Контрола на напонот: V,up V_dop

211 STAP 46-31! ": 2L 60x60x8 # $ % &!"& "' '"% &!%&"& '! " % " % K' ' M? $'C&& $/NOP*/<+Q R3P( Q/ OV/W;V u = mm,o<rx/y Q/ ;WV;Z/)RZ/[+ 5\ N)/Y Q/ OV/W;V- y T z Ax = Ay = Az = Iz = Iy = Ix = cm cm cm cm cm cm4!kf 'D ' % E' FE'G : 5?'"% '!&#F!% : 1.50 M ]E K ' : $ M'E & EK&D' &D',N)/Y Q/ OV/W;V- )+O*+VN;ZQ/ Q;)*/<Q/ OP</ ^ = 0._89 k^ $;*+QV Q/ O;ZPVNRZ/[+ ;N;<R z ;ON/ `z = >1.918 k^m $;*+QV Q/ O;ZPVNRZ/[+ ;N;<R y ;ON/ `y = k^m %)/QOZ+)a/<Q/ OP</ Z; z W)/Z+b Tz = k^ %)/QOZ+)a/<Q/ OP</ Z; y W)/Z+b Ty = 4.81_ k^!pov+*on/ d;<epq/ Q/ OV/W;V L = cm!%' &]K f ' ]'% # FE'G &! E&%"FE'G ;)*/<+Q Q/W;Q σgmhx = 10._46 k^icm2 M;aZ;<+Q Q/W;Q σgjoz = k^icm2 Контрола на напонот: V_max <= V_doz.(). &*+ zt,mm- yt,mm- /3;< 1. L 60x60x8 > > L 60x60x >0.0?'"% & ' &!" &!%!% " $B& 'C&D' ' % E' FE'G' 5. H= H= H= H=0.09 " % K' '! MB ' ;)*/<+Q Q/W;Q σ = 10._46 k^icm2 /W;Q Q/ O*;<NQRZ/[+ τ = k^icm2 $/NOP*/<+Q OW;)+d(+Q Q/W;Q σ\up = 10._8_ k^icm2 M;aZ;<+Q Q/W;Q σgjoz = k^icm2 Контрола на напонот: V,up V_dop STAP 58-51! ": lnq rs # $ % &!"& "' '"% &!%&"& '! " % 4 0 T y _ z Ax = Ay = Az = Iz = Iy = Ix = vz = vy = cm cm cm cm cm cm4 4._10 cm_ 4._10 cm_ E<PY. Q/ ZNRWQ/V/ P*W+)~+NbPY/ Q/ OV/W;V z = E<PY. Q/ ZNRWQ/V/ P*W+)~+NbPY/ Q/ OV/W;V y = FOZ;+Q N;+~. a/ a3;<+*. Q/ Z<PY/QPY/V/ mz = FOZ;+Q N;+~. a/ a3;<+*. Q/ Z<PY/QPY/V/ my = FOZ;+Q; Z<PY/QP+ Q/ ZN. P*W+)~+NbPY/ = dq;o ƒ i = = 10 /OV;Y/QP+ Q/ ZP<R N/OVPV+ W;VW;)P Lg {w.. = cm #)/QPXQ/ Z)+dQ;OV Q/ )/OV. Q/ W;VW;)PV+ wgcˆ = cm Lg {w. wgcˆ #)/QPX+Q Q/W;Q σgj = k^icm2 M;aZ;<+Q Q/W;Q σgjoz = k^icm2 ";+~. a/ a3;<+*rz/[+ Q/ Z<PY. ;d (. P. θ = ;)*/<+Q Q/W;Q ;d ^ σ,^- = k^icm2 ;)*/<+Q Q/W;Q ;d `z σ,`z- = k^icm2 ;)*/<+Q Q/W;Q ;d `y σ,`y- = k^icm2 $/NOP*/<+Q Q/W;Q σgmhx = k^icm2 M;aZ;<+Q Q/W;Q σgjoz = k^icm2 Контрола на напонот: V_max <= V_doz 4 0 rm m s?'"% & ' &!" &!%!% " $B& 'C&D' ' % E' FE'G' 5. H= H= H= H=0.01 " % K' ' M? $'C&& $/NOP*/<+Q R3P( Q/ OV/W;V u = 0._1_ mm,o<rx/y Q/ ;WV;Z/)RZ/[+ 7\ Q/ 65.9 cm ;d W;X+V;N;V Q/ OV/W;V-!KF 'D ' % E' FE'G : 5?'"% '!&#F!% : 1.50 M ]E K ' : $ M'E & EK&D' &D',N)/Y Q/ OV/W;V- )+O*+VN;ZQ/ Q;)*/<Q/ OP</ ^ = >0.0_5 k^ $;*+QV Q/ O;ZPVNRZ/[+ ;N;<R z ;ON/ `z = k^m $;*+QV Q/ O;ZPVNRZ/[+ ;N;<R y ;ON/ `y = k^m %)/QOZ+)a/<Q/ OP</ Z; z W)/Z+b Tz = k^ %)/QOZ+)a/<Q/ OP</ Z; y W)/Z+b Ty = >0.0_6 k^!pov+*on/ d;<epq/ Q/ OV/W;V L = cm M;<e. Q/ PaZPZ. ;N;<R z ;ON/ w{\z = cm M;<e. Q/ PaZPZ. ;N;<R y ;ON/ w{\y = cm ")PZ/ Q/ PaZPZ/[/ a/ z ;ON/ ")PZ/ Q/ PaZPZ/[+ a/ y ;ON/!%' &]K f ' &%&! " &! E&%"FE'G " % K' '!%'B. & "!C. &%&! " $US U.}7.096 /dpro Q/ PQ+)bPY/ {\z = 1.4_1 cm /dpro Q/ PQ+)bPY/ {\y = 1.4_1 cm EPVN;OV λz = 61.4_8 EPVN;OV λy = 61.4_8 +</VPZQ/ ZPVN;OV λ z = </VPZQ/ ZPVN;OV λ y = </VPZ+Q Q/W;Q σ = ";+~.a/zpo+q ;d ;(<PN;V Q/ `z β = B+adP*+QaP;Q/<+Q N;+~PbP+QV κ\z = B+adP*+QaP;Q/<+Q N;+~PbP+QV κ\y = ";+~PbP+QV a/ a3;<+*rz/[+ Q/ Z<PY/QPY/V/ mz = ";+~PbP+QV a/ a3;<+*rz/[+ Q/ Z<PY/QPY/V/ my = " % K' '!%'B&K!% ' &]B FE'G ' K&$ E&% `US U.} &a(;xrz/[+ Q/ )+();V; Q/ lnq n,d+.- MP*+QaPP Q/ <P*;V hi it = i4i0._,cm- /XPQ Q/ ;O<;QRZ/[+ ' dq;o hi α = /(+Q Q;)*/<+Q Q/W;Q Z; <P*;V σ1 = >1.548 k^icm2 /(+Q Q;)*/<+Q Q/W;Q Z; <P*;V σ2 = >0.597 k^icm2 dq;o σ1iσ2 Ψ = 0._86 ";+~PbP+QV Q/ Pa(;XRZ/[+ kgσ = Y<+);Z Q/W;Q Q/ Pa(;XRZ/[+ Q/ <P*;V σg} = k^icm2 ")PVPX+Q Q/W;Q Q/ Pa(;XRZ/[+ σgcˆ = 60_.69 k^icm2 +</VPZQ/ ZPVN;OV Q/ W<;X/ λ pσ = B+adP*. N;+~. Q/ Pa(;XRZ/[+ κgpσ = ";)+NbP;Q+Q ~/NV;) cgσ = ";)+NbP;Q+Q ~/NV;) = </VPZ+Q 3)/QPX+Q Q/W;Q σ u = #)/QPX+Q Q/W;Q Q/ Pa(;XRZ/[+ σgu = k^icm2?/nv;)p)/q Q/W;Q Q/ W)PVPO;N σ = 2._22 k^icm2 Контрола на напонот: V <= V_u ";+~PbP+QV Q/ Pa(;XRZ/[+ kgτ = 5._48 Y<+);Z Q/W;Q Q/ Pa(;XRZ/[+ Q/ <P*;V σg} = k^icm2 ")PVPX+Q Q/W;Q Q/ Pa(;XRZ/[+ τgcˆ = k^icm2 +</VPZQ/ ZPVN;OV Q/ W<;X/ λ pτ = B+adP*. N;+~. Q/ Pa(;XRZ/[+ κgpτ = ";)+NbP;Q+Q ~/NV;) cgτ = ")PVPX+Q Q/W;Q Q/ Pa(;XRZ/[+ τgcˆ = k^icm2 +</VPZ+Q 3)/QPX+Q Q/W;Q τ u = #)/QPX+Q Q/W;Q Q/ Pa(;XRZ/[+ τgu = 1_.856 k^icm2?/nv;)p)/q Q/W;Q Q/ O*;<NQRZ/[+ τ = 0.02_ k^icm2 Контрола на напонот: W <= W_u ";*(PQP)/Q/ Q/W;QON/ O;OV;Y(/ σ 2 = Контрола на напонот: V 2 <= 1 " % K' '!%'B&K!% ' &]B FE'G ' K&$ E&% `US U.} &a(;xrz/[+ Q/ 3;)QP;V W;Y/O Q/ lnq n MP*+QaPP Q/ <P*;V hi it = i4i0._,cm- /XPQ Q/ ;O<;QRZ/[+ ' dq;o hi α = /(+Q Q;)*/<+Q Q/W;Q Z; <P*;V σ1 = >1.548 k^icm2 /(+Q Q;)*/<+Q Q/W;Q Z; <P*;V σ2 = k^icm2

212 σ1/σ2 Ψ = ! "#$%$" & ' $() *+,'4" k_σ = ":, '; ' $() *+,'4" ' 8$< & σ_e = 10>.7> kn/cm2!:$&$*" '; ' $() *+,'4" σ_cr = 121>.1 kn/cm2?"8'&$, ',$&@ & ' ;8 *' λ pσ = 0.1A0 B"( "#. ' $() *+,'4" κ_pσ = 1.000! :"@%$ " #'@& : c_σ = 1.250! :"@%$ " #'@& : f = 0.000?"8'&$," C:' $*" '; σ u = D:' $*" '; ' $() *+,'4" σ_u = 2A.000 kn/cm2 F'@& :$:' '; ' σ = kn/cm2 Контрола на напонот: V <= V_u! "#$%$" & ' $() *+,'4" k_τ = 5.3AG 68":, '; ' $() *+,'4" ' 8$< & σ_e = 10>.7> kn/cm2!:$&$*" '; ' $() *+,'4" τ_cr = kn/cm2?"8'&$, ',$&@ & ' ;8 *' λ pτ = 0.15> B"( "#. ' $() *+,'4" κ_pτ = 1.000! :"@%$ " #'@& : c_τ = 1.250!:$&$*" '; ' $() *+,'4" τ_cr = kn/cm2?"8'&$," C:' $*" '; τ u = D:' $*" '; ' $() *+,'4" τ_u = 13.G5> kn/cm2 F'@& :$:' '; ' < 8@ +,'4" τ = 0.0AA kn/cm2 Контрола на напонот: W <= W_u! <)$ $:' ' & 6)' σ 2 = Контрола на напонот: V 2 <= 1!HI?JK HK LIKBMJHLI HK MOBPQRKST HK JMURMIT VWX W.E M() *+,'4" ' 8 $ & ; 6' ' YZ[ Z \$<" ($$ ' 8$< & a/b/t = G7.9121/A/0.3 ]cm^ H'*$ ' 8 +,'4" K a/b α = 21.97G?')" :<'8" ';, 8$< & σ1 = kn/cm2?')" :<'8" ';, 8$< & σ2 = kn/cm2 σ1/σ2 Ψ = -2.5>>! "#$%$" & ' $() *+,'4" k_σ = ":, '; ' $() *+,'4" ' 8$< & σ_e = 10>.7> kn/cm2!:$&$*" '; ' $() *+,'4" σ_cr = 2551.> kn/cm2?"8'&$, ',$&@ & ' ;8 *' λ pσ = B"( "#. ' $() *+,'4" κ_pσ = 1.000! :"@%$ " #'@& : c_σ = 1.250! :"@%$ " #'@& : f = 0.000?"8'&$," C:' $*" '; σ u = STAP ``?TPTH `?TLT!h YZ[ nq >0x>0xA s2svwx DTUTI?ML!M!K?K!IT?MLIM!M HK `?TLT!I > 0 i > 0 y A z nm m q wx = G.550 cm2 wy = A.G00 cm2 wz = A.G00 cm2 {z = A0.920 cma {y = A0.920 cma {x = cma z = 13.>A0 cm3 y = 13.>A0 cm3 FK!I?M HK ML!?MLITHLI `!UBMHK}MgK HK `IRK?QRKSK 5. ~= ~=0.19 >. ~=0.05 A. ~=0.0A!HI?JK HK \TF?UK}MM U'@ $<'8" +C$) ' &'; & u = 0.A07 mm ] 8+*'6 ' ;&,':+,'4" 7d ' cm ; & ' &'; &^ LJQPKg HK `IRK?QRKSTh 5 FK!I? HK LMDQ?HLI h 1.50 \ORJTH HK`H h 1>.00 UT?\KRHM RJMgKHMgK ]@:'6 ' &'; &^ `:" <"&@, ' :<'8 ' $8' N = -10.9>2 kn U <" & 8+ Vz = 0.00G knm U <" & 8+ Vy = knm I:',":('8 ' $8', z ;:',"% iz = 0.12G kn I:',":('8 ' $8', y ;:',"% iy = kn L$ 8j$ ' ' &'; & l = 3A9.00 cm \ 8j. ' 8+ dz = 3A9.00 cm \ 8j. ' 8+ dy = 3A9.00 cm!:$,' ' $(,$,'4' (' ƒ!:$,' ' $(,$,'4" (' ƒ LIK` MOJ TH HK `?MIML! M LRMI!QRKST D:' $*" '; ' $() *+,'4" σ_u = 2A.000 kn/cm2 F'@& :$:' '; ' σ = 0.G95 kn/cm2 Контрола на напонот: V <= V_u! "#$%$" & ' $() *+,'4" k_τ = 5.3AG 68":, '; ' $() *+,'4" ' 8$< & σ_e = 10>.7> kn/cm2!:$&$*" '; ' $() *+,'4" τ_cr = kn/cm2?"8'&$, ',$&@ & ' ;8 *' λ pτ = 0.15> B"( "#. ' $() *+,'4" κ_pτ = 1.000! :"@%$ " #'@& : c_τ = 1.250!:$&$*" '; ' $() *+,'4" τ_cr = kn/cm2?"8'&$," C:' $*" '; τ u = D:' $*" '; ' $() *+,'4" τ_u = 13.G5> kn/cm2 F'@& :$:' '; ' < 8@ +,'4" τ = 0.0AA kn/cm2 Контрола на напонот: W <= W_u! <)$ $:' ' & 6)' σ 2 = Контрола на напонот: V 2 <= 1!HI?JK HK L`?T\BTH HK`H H :<'8" '; σ = 1.5AG kn/cm2 H'; ' < 8@ +,'4" τ = 0.0A5 kn/cm2 U'@ $<'8" ; :" )" '; σdup = kn/cm2 \ (, 8" '; σ_eoz = 1>.000 kn/cm2 Контрола на напонот: V,up V_dop LJQPKg HK `IRK?QRKSTh 5 FK!I? HK LMDQ?HLI h 1.50 \ORJTH HK`H h 1>.00 UT?\KRHM RJMgKHMgK ]; ' &'; &^ `:" <"&@, ' :<'8 ' $8' N = kn U <" & 8+ Vz = -0.02A knm U <" & 8+ Vy = -0.01> knm I:',":('8 ' $8', z ;:',"% iz = kn I:',":('8 ' $8', y ;:',"% iy = -0.0>5 kn L$ 8j$ ' ' &'; & l = G7.912 cm H'; ' < 8@ +,'4" τ = kn/cm2 \ (, 8" '; ' < 8@ +,'4" τ_eoz = 9.23G kn/cm2 Контрола на напонот: W <= W_doz!HI?JK HK LIKB.`?M T!L}. `?MIML! UWX W.E7.09>?' $+ ' $ ":%$6' dz = 2.1GG cm?' $+ ' $ ":%$6' dy = 2.1GG cm R$&@ & λz = R$&@ & λy = ?"8'&$, ',$&@ & λ z = 1.717?"8'&$, ',$&@ & λ y = 1.717?"8'&$," '; σ = 0.0G0! "#.(',$ " )8$@ & ' Vz β = B"( $<" ($ "#$%$" & κdz = 0.25A B"( $<" ($ "#$%$" & κdy = 0.25A! "#$%$" & (' (C 8"<+,'4" ',8$6' $6'&' mz = 1.309! "#$%$" & (' (C 8"<+,'4" ',8$6' $6'&' my = R8$6. ',@+; '&' $<;":#"@%$6' ' &'; & z = R8$6. ',@+; '&' $<;":#"@%$6' ' &'; & y = / b = ˆ= 10?' & 6' $" &$&" ; &; :$ l_š.. = 3A9.00 cm D:' $* ',:" & ' :' &. ' ; &; :$&" _cr = A37.50 cm l_š. ˆ _cr D:' $*" '; σ_e = 2A.000 kn/cm2 \ (, 8" '; σ_eoz = 1>.000 kn/cm2! "#. (' (C 8"<+,'4" ',8$6. ). $. θ = H :<'8" '; N σ]n^ = 1.2G2 kn/cm2 H :<'8" '; Vz σ]vz^ = 0.05G kn/cm2 H :<'8" '; Vy σ]vy^ = 0.>7G kn/cm2 U'@ $<'8" '; σ_max = 3.A93 kn/cm2 \ (, 8" '; σ_eoz = 1>.000 kn/cm2 Контрола на напонот: V_max <= V_doz!HI?JK HK LIKBMJHLI HK MOBPQRKST HK JMURMIT VWX W.E M() *+,'4" ' :"): & ' YZ[ Z ]8".^ \$<" ($$ ' 8$< & a/b/t = 3A9/>/0.A ]cm^ H'*$ ' 8 +,'4" K a/b α = 5G.1>7?')" :<'8" ';, 8$< & σ1 = -0.>>3 kn/cm2?')" :<'8" ';, 8$< & σ2 = -0.5A> kn/cm2 σ1/σ2 Ψ = 0.G2A! "#$%$" & ' $() *+,'4" k_σ = A.3>> 68":, '; ' $() *+,'4" ' 8$< & σ_e = GA.35> kn/cm2!:$&$*" '; ' $() *+,'4" σ_cr = 3>G.33 kn/cm2?"8'&$, ',$&@ & ' ;8 *' λ pσ = B"( "#. ' $() *+,'4" κ_pσ = 1.000! :"@%$ " #'@& : c_σ = 1.0AA! :"@%$ " #'@& : f = 0.000?"8'&$," C:' $*" '; σ u = D:' $*" '; ' $() *+,'4" σ_u = 2A.000 kn/cm2 F'@& :$:' '; ' σ = 0.99A kn/cm2 Контрола на напонот: V <= V_u

213 <"a2b α"= 58.16>!" #" $% &'(#) k_τ"= :#% " -0#, " #/ "( ", 0! σ1"= ]1.\97 kn2cm7 *+, - (" #/ " #" $% &'(#) " #", 0! σ_e"= kn2cm7 :#% " -0#, " #/ "( ", 0! σ7"= ]9.546 kn2cm7 -! & " #/ " #" $% &'(#) τ_cr"= kn2cm7 *@ < σ12σ7 Ψ"= 9.78> :,#! ( #"(!; <!" #"/, &# λ pτ"= 9.1>5!" #" $% &'(#) k_σ"= 6.956? $@ 0.";." #" $% &'(#) κ_pτ"= *+, - (" #/ " #" $% &'(#) " #", 0! σ_e"= kn2cm7 - ; " #;! - c_τ"= ! & " #/ " #" $% &'(#) σ_cr"= kn2cm7 -! & " #/ " #" $% &'(#) τ_cr"= kn2cm7 :,#! ( #"(!; <!" #"/, &# λ pσ"= 9.71> :,#! ( "A-# & " #/ τ u"= 1.999? $@ 0.";." #" $% &'(#) κ_pσ"= B-# & " #/ " #" $% &'(#) τ_u"= kn2cm7 - ; " #;! - c_σ"= 1.1>8 C#;! - -# " #/ " #"<0,; '(#) τ"= 9.99> kn2cm7 - ; " #;! - f"= :,#! ( "A-# & " #/ σ u"= Контрола на напонот: W <= W_u B-# & " #/ " #" $% &'(#) σ_u"= kn2cm7 C#;! - -# " #/ " #"/-! < ; σ"= kn2cm7 0% -# #" #/ <;#"< <! +%# σ 7"= Контрола на напонот: V <= V_u Контрола на напонот: V 2 <= 1 *DF:*GH"DH"IFH?JGD*IF"DH"JK?*LMOHPQ"DH"GJR*OJFQ"SUT"U.E>.1... J$% &'(#) " #"- %-! " #""VWX"W"Y@.Z [ 0 $ " #", 0!"a2b2t"="34\2629.4"YcmZ D#& " #" <, '(#) "H *@ <"a2b α"= 58.16> :#% " -0#, " #/ "( ", 0! σ1"= ]7.918 kn2cm7 :#% " -0#, " #/ "( ", 0! σ7"= ]1.\97 kn2cm7 *@ < σ12σ7 Ψ"= 9.\47!" #" $% &'(#) k_σ"= *+, - (" #/ " #" $% &'(#) " #", 0! σ_e"= kn2cm7 -! & " #/ " #" $% &'(#) σ_cr"= 346.\8 kn2cm7 :,#! ( #"(!; <!" #"/, &# λ pσ"= 9.763? $@ 0.";." #" $% &'(#) κ_pσ"= ; " #;! - c_σ"= ; " #;! - f"= :,#! ( "A-# & " #/ σ u"= B-# & " #/ " #" $% &'(#) σ_u"= kn2cm7 C#;! - -# " #/ " #"/-! < ; σ"= kn2cm7 Контрола на напонот: V <= V_u!" #" $% &'(#) k_τ"= *+, - (" #/ " #" $% &'(#) " #", 0! σ_e"= kn2cm7 -! & " #/ " #" $% &'(#) τ_cr"= kn2cm7 :,#! ( #"(!; <!" #"/, &# λ pτ"= 9.1>5? $@ 0.";." #" $% &'(#) κ_pτ"= ; " #;! - c_τ"= ! & " #/ " #" $% &'(#) τ_cr"= kn2cm7 :,#! ( "A-# & " #/ τ u"= B-# & " #/ " #" $% &'(#) τ_u"= kn2cm7 C#;! - -# " #/ " #"<0,; '(#) τ"= 9.99> kn2cm7 Контрола на напонот: W <= W_u 0% -# #" #/ <;#"< <! +%# σ 7"= Контрола на напонот: V 2 <= 1 *DF:*GH"DH"IFH?JGD*IF"DH"JK?*LMOHPQ"DH"GJR*OJFQ"SUT"U.E>.1... J$% &'(#) " #"A -!"/ +#<" #""VWX"W [ 0 $ " #", 0!"a2b2t"="34\2629.4"YcmZ D#& " #" <, '(#) "H *@ <"a2b α"= 58.16> :#% " -0#, " #/ "( ", 0! σ1"= ]7.918 kn2cm7 :#% " -0#, " #/ "( ", 0! σ7"= ]9.663 kn2cm7 *@ < σ12σ7 Ψ"= 9.378!" #" $% &'(#) k_σ"= *+, - (" #/ " #" $% &'(#) " #", 0! σ_e"= kn2cm7 -! & " #/ " #" $% &'(#) σ_cr"= 4\6.11 kn2cm7 :,#! ( #"(!; <!" #"/, &# λ pσ"= 9.779? $@ 0.";." #" $% &'(#) κ_pσ"= ; " #;! - c_σ"= ; " #;! - f"= :,#! ( "A-# & " #/ σ u"= B-# & " #/ " #" $% &'(#) σ_u"= kn2cm7 C#;! - -# " #/ " #"/-! < ; σ"= kn2cm7 Контрола на напонот: V <= V_u!" #" $% &'(#) k_τ"= *+, - (" #/ " #" $% &'(#) " #", 0! σ_e"= kn2cm7 -! & " #/ " #" $% &'(#) τ_cr"= kn2cm7 :,#! ( #"(!; <!" #"/, &# λ pτ"= 9.1>5? $@ 0.";." #" $% &'(#) κ_pτ"= ; " #;! - c_τ"= ! & " #/ " #" $% &'(#) τ_cr"= kn2cm7 :,#! ( "A-# & " #/ τ u"= B-# & " #/ " #" $% &'(#) τ_u"= kn2cm7 C#;! - -# " #/ " #"<0,; '(#) τ"= kn2cm7!" #" $% &'(#) k_τ"= *+, - (" #/ " #" $% &'(#) " #", 0! σ_e"= kn2cm7 -! & " #/ " #" $% &'(#) τ_cr"= kn2cm7 :,#! ( #"(!; <!" #"/, &# λ pτ"= 9.1>5? $@ 0.";." #" $% &'(#) κ_pτ"= ; " #;! - c_τ"= ! & " #/ " #" $% &'(#) τ_cr"= kn2cm7 :,#! ( "A-# & " #/ τ u"= B-# & " #/ " #" $% &'(#) τ_u"= kn2cm7 C#;! - -# " #/ " #"<0,; '(#) τ"= kn2cm7 Контрола на напонот: W <= W_u 0% -# #" #/ <;#"< <! +%# σ 7"= Контрола на напонот: V 2 <= 1 *DF:*GH"DH"I^*:Q[?QD"DH^*D D -0#, " #/ σ"= kn2cm7 D#/ " #"<0,; '(#) τ"= kn2cm7 R#;< 0#, "</ " #/ σ`up"= 7.91\ kn2cm7 [ $(, " #/ σ_doz"= kn2cm7 Контрола на напонот: V,up V_dop IGMLHe"DH"*^F*OH:MOHPQg"5 CHF*:"DH"IJBM:D*IF"g"""""1.59 [*KO*GQD"DH^*D"""g""""16.99 RQ:*[HODJ"OGJeHDJeH"Y &! ;!" #"<!#/!Z ^- <0!; ( #" -0#, #"<,# N"= ]5.549 kn R 0!" #"< (!;'(#) " ;,'"z" <;# Sz"= 9.96> knm R 0!" #"< (!;'(#) " ;,'"y" <;# Sy"= ]9.975 knm F-# <( -$#, #"<,#"( ""z""/-#( hz"= ]9.114 kn F-# <( -$#, #"<,#"( ""y"/-#( hy"= kn I <! 0<;#"@,i #" #"<!#/! j"= 34\.99 cm D#/ " #"<0,; '(#) τ"= 9.9>5 kn2cm7 [ $(, " #/ " #"<0,; '(#) τ_doz"= \.738 kn2cm7 Контрола на напонот: W <= W_doz IGMLHe"DH"*^F*OH:MOHPQg"5 CHF*:"DH"IJBM:D*IF"g"""""1.59 [*KO*GQD"DH^*D"""g""""16.99 RQ:*[HODJ"OGJeHDJeH"Y &! ;!" #"<!#/!Z ^- <0!; ( #" -0#, #"<,# N"= ]5.5>4 kn R 0!" #"< (!;'(#) " ;,'"z" <;# Sz"= ]9.954 knm R 0!" #"< (!;'(#) " ;,'"y" <;# Sy"= ]9.987 knm F-# <( -$#, #"<,#"( ""z""/-#( hz"= ]9.114 kn F-# <( -$#, #"<,#"( ""y"/-#( hy"= kn I <! 0<;#"@,i #" #"<!#/! j"= 34\.99 cm *DF:*GH"DH"IFH?JGD*IFH"?*LD*"JKOJOHPQ"RUT"U.E>.191 *@ <"l"2"b"=""""""1.999"n="19 :#<! +# " #"(,'q;#<!! "/!/ - j_vsw.."= 34\.99 cm B-# & <!" #"-#<!." #"/!/ -! w_cr"= 43>.59 cm ""j_vsw."n"w_cr B-# & " #/ σ_d"= kn2cm7 [ $(, " #/ σ_doz"= kn2cm7 O <! <; " #/ ]- %- σ_vsx= 9.\\7 kn2cm7 Контрола на напонот: V_vis <= V_doz Контрола на напонот: W <= W_u 0% -# #" #/ <;#"< <! +%# σ 7"= Контрола на напонот: V 2 <= 1 *DF:*GH"DH"IFH?JGD*IF"DH"JK?*LMOHPQ"DH"GJR*OJFQ"SUT"U.E>.1... J$% &'(#) " #"@,!"/ +#<" #""VWX"W [ 0 $ " #", 0!"a2b2t"="34\2629.4"YcmZ D#& " #" <, '(#) "H

214