Analyse af skrå bjælke som UPE200

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Φιλομήλα Βαρνακιώτης
7 χρόνια πριν
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1 Analyse af skrå bjælke som UPE Project: Opgave i stål. Skrå bjælke som UPE Description: Snitkræfter, forskydningscentrum, samling Customer: LC FEDesign. StruSoft Designed: LC Date: 9 Page: / 4

2 Documentation Static model.... Geometry.... Properties... Loads.... Load cases... Results.... Ultimate limit state.... Serviceability limit state.... Steel design for nd order analysis... Contents Designed: LC Date: 9 Page: / 4

3 Static model. Geometry Geometri Eurocode A: Danish... UPE. UPE UPE Properties Quantity estimation, Steel Storey Struct. Identifier Quality Section/ Thickness Unit weight [t/m m] Total length[m]/ Total area[m] Total weight [t] Painted area [m] Beam Beam B. B. S 5 S 5 UPE UPE TOTAL Beam B. S 5 UPE Steel materials o. [] S 5 ame [] fykt<4 [/mm] 5. fukt<4 fykt>4 [/mm] [/mm] 6 5. fukt>4 [/mm] 6 Gamma []. Gamma, acc [] Gamma Gamma, acc Gamma [] [] []....5 Gamma, acc []. Ek [/mm] Poisson's ratio []. G Therm. coeff. Density [/mm] [/ C] [t/m] e Designed: LC Date: 9 Page: / 4

4 Loads. Load cases Load cases o. ame Type Duration class Lodret Ordinary Permanent Lasten er påført som den vandrette projektion af den skrå last. Dette er grundlaget for beregningen, men er ikke korrekt angivet på skitsen. Lodret last. Lasttilfælde Eurocode A: Danish.. k/m p.... k/m p Load combinations o. ame Lodret Type Ultimate Factor.5 Load cases Lodret Designed: LC Date: 9 Page: 4 / 4

5 Results. Ultimate limit state Reaction forces Equilibrium Load case Component [] [] Loads km Reactions km Error Load case Component [] [] Loads km Reactions km Error Lodret Fx' Fy' Fz' x' y' z' Point support, reactions, Load comb.: Lodret o. [] ode [] F [k] [km] S. 45. Point support group, reactions, Load comb.: Lodret o. ode Fx' Fy' Fz' x' y' z' Fr r [] [] [k] [k] [k] [km] [km] [km] [k] [km] S Snitkræfter Eurocode A: Danish code: Load cases Lodret Reactions [k, km, k/m, km/m, k/m] Designed: LC Date: 9 Page: 5 / 4

6 omentkurve Eurocode A: Danish code: st order theory Load combinations Lodret Bars, y' Graph [km] Forskydningskraftkurve Eurocode A: Danish code: st order theory Load combinations Lodret Bars, Tz' Graph [k] Designed: LC Date: 9 Page: 6 / 4

7 . Serviceability limit state Udbøjning Eurocode A: Danish code: Load cases Lodret Displacements Graph [mm] Designed: LC Date: 9 Page: 7 / 4

8 . Steel design for nd order analysis ax. of load combinations, Bar, Utilization ember Section Status aximum Combination RCS FB TFB LTB [] B.. [] UPE [] Real 6 [] Lodret 5 6 B.. B.. UPE UPE Real Real 6 6 Lodret Lodret SB IA EC Design Eurocode A: Danish code: st order theory Steel bar Utilization Load combinations aximum Colour palette Designed: LC Date: 9 Page: 8 / 4

9 B.. aximum of load combinations S 5 E G,ult,ult,ult /mm /mm,acc./seis,acc./seis,acc./seis... UPE z y A Iy Iz I I W W pl,y pl,z 57 mm W.97e+5 mm el,min,y.97e+7 mm 4 W.496e+4 mm el,min,z 4.955e+6 mm i 79 mm 4.97e+7 mm i 5 mm 4.955e+6 mm I.6e+5 mm t.e+5 mm I.8e+ mm w 6.46e+4 mm 4 6 f y 5 ε. λ 9.9 /mm Shear resistance, yy Part :6..6, 6..8 LC: Lodret, x mm V y,pl,rd ; y A y,v f y 8.7 ; z ; k 6.8. V y,pl,t,rd τ t,ed τ w,ed / V y,pl,rd.5 f y / f y / /.5. 5/.7 /. 5/.7 / k 6.7 V y,ed V y,pl,t,rd OK Designed: LC Date: 9 Page: 9 / 4

10 Shear resistance, zz Part :6..6, 6..8 LC: Lodret, x mm V V V z,pl,rd V z,ed z,pl,t,rd z,pl,t,rd ; ; ; y z A z,v f y k 6.8. τ t,ed.5 f / y / w,ed.5. 5/.7 /. 5/.7 / OK f y / τ / V z,pl,rd k 6.7 Torsional resistance Part :6..7 LC: Lodret, x mm T T Ed Rd.87 ; y ;. 6. z OK ; Shear stress Part :6..6 ot relevant ormal stress Part :6.. ot relevant ormal capacity Part :6.. LC: Lodret, x mm ; y ; z ; V y,ed.5 V y,pl,t,rd > ρ y. V.5 > ρ. z,ed V z,pl,t,rd z Ed Rd + y,ed y,rd + z,ed z,rd OK Designed: LC Date: 9 Page: / 4

11 Flexural buckling, Part :6.. LC: Lodret, x mm λ φ χ L i,. min min, φ + φ λ b,rd, cr, λ.49 ; ;.5 + χ A f y y z Buckling curve: c λ. + λ ; k 6.47 Ed b,rd, OK Flexural buckling, Part :6.. LC: Lodret, x mm ; y ; z ; λ L cr, λ i φ.49.5 χ min + Buckling curve: c λ λ. +,. φ + φ λ min b,rd, χ Af y , k 6.47 Ed b,rd, OK Designed: LC Date: 9 Page: / 4

12 Torsionalflexural buckling Part :6.. LC: Lodret, x mm y b,rd, b,rd, cr,t b,rd, i Smallest root of the above equation: cr min ; y cr,t, cr,tf ; i i + i + y + z mm π E I t +. G w I π..8e+ cr,t i l 95.6e+5 + T. z ; cr,tf 58.4 k min 586.9, k z b,rd, k λ T A λ cr T.49 Buckling curve: c φ T.5 + T λ T. + λ T χ T min,. φ T + φ T λ T min b,rd,t χ T Af y , k 6.47 Ed b,rd,t OK Lateral torsional buckling, yy Part :6...4 LC: Lodret, x mm ; y ; z ; λ f,y k c L c i f,z λ y.49 Buckling curve: c φ y.5 + y λ f,y. + λ f,y χ y min,. φ y + φ y λ f,y min f y y,c,rd W y km, y,b,rd min k fl χ y y,c,rd, y,c,rd min , km 6.6 y,ed.5 y,b,rd OK Designed: LC Date: 9 Page: / 4

13 Lateral torsional buckling, zz Part :6...4 ot relevant Interaction between normal force and bending. Part :6.. LC: Lodret, x mm k yy ;.5 + z,rk Interaction between normal force and bending. Part :6.. LC: Lodret, x mm my mz mlt z,rk my mz y,ed ;.5.5 f y,b,rd ψ ψ yw pl,z k my mz ψ yz y ; z ; C.4 ψ my ψ mz mlt y 5 z,ed ; C C.6 OK mlt.5 ψ mlt C mlt.4 z,rk fyw pl,z km y,ed z,ed k zy + k zz y,b,rd z,rk OK C my mz my mz C.6 mlt 4.9 z.4.4 km. 6.6 Interaction between normal force and bending, nd order Part :6.. ot relevant ; Shear buckling Part 5:5 ot relevant Designed: LC Date: 9 Page: / 4

14 Summary Utilization Crosssection resistance Flexural buckling Torsionalflexural buckling Lateral torsional buckling Interaction Shear buckling Designed: LC Date: 9 Page: 4 / 4

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Ingenieurbüro Frank Blasek - Beratender Ingenieur Am Kohlhof 10, Osterholz-Scharmbeck Tel: 04791/ Fax: 04791/

Ingenieurbüro Frank Blasek - Beratender Ingenieur Am Kohlhof 10, Osterholz-Scharmbeck Tel: 04791/ Fax: 04791/ Page: 10 CONTENTS Contents... 10 General Data... 10 Structural Data des... 10 erials... 10 Sections... 10 ents... 11 Supports... 11 Loads General Data... 12 LC 1 - Vollast 120 km/h 0,694 kn/qm... 12 LC,