Wind_Loads, HW_2 1. θ 32.6

Wind_Loads, HW_2 1 Risk Category and Basic Wind Speed Wind Borne Debris Region (WBDR): RC IV Essential facilities (e.g. fire, police, hospitals) Figure to use for wind velcity in Wind Borne Debris Region, V WBDR Health V 180 mph From Figure 26.5-1B, MRI = 1700 yrs Care IF: RC = IV OR Facility Then Use Figure for V WBDR: TRUE FALSE 26.5-1B, MRI = 1700 yrs Bldg Dimensions: ELSE IF: RC = II or III K d 0.85 FALSE 26.5-1A, MRI = 700 yrs L 25 ft B 50 ft Health_Care_Facility FALSE h e 25 ft Use Fig. 26.5-1B, MRI = 1700 yrs h ridge 33 ft V WBDR 160 mph o θ 32.6 = ATAN( ( h ridge - h e ) / ( L / 2 ) ) * 180 / PI() Near_Coast TRUE within 1 mi of coastal high-water line h 29 = AVERAGE( h e, h ridge ) WBDR TRUE = OR( V WBDR >= 140, AND( V WBDR >= 130, Near_Coast ) ) Enclosure Classification Areas of Walls (Ag) and Openings (Ao): OPEN FALSE - - - - - - - - - - - - - - - - - - - Wall - - - - - - - - - - - - - - - - - - - - - PARTIALLY_ENCLOSED TRUE Upwind Downwind Left Side Right Side Roof Total A o 128 sf = 2 * L / 2 / COS(θ * PI() / 180) * B Cond. 1 TRUE = A o > 1.1 * A oi Enclosure_Classification PARTIALLY ENCLOSED A g 1250 sf 1250 sf 725 sf 725 sf 1484 sf A gt 5434 sf A g 1250 sf Cond. 2 TRUE = A o > MIN( 4, 0.01 * A g ) A o 128 sf 56 sf 28 sf 28 sf 0 sf A ot 240 sf A oi 112 sf = A ot - A o Cond. 3 TRUE = A oi < 0.2 * A gi Internal Pressure Coefficient, G Cpi A o / A g 0.10 0.04 0.04 0.04 A gi 4184 sf = A gt - A g GC pi 0.55 A o / A g > 0.8 FALSE FALSE FALSE FALSE PARTIALLY_ENCLOSED TRUE = AND( Cond. 1, Cond. 2, Cond. 3 Gust Effect Factor, G Low_Rise FALSE = AND( h < 60, h < MIN( L, B ) ) Lower Bound of Natural Frequency, n a Eqns_valid TRUE = h < MIN( 300, 4 * L ) MWFRS other (average, not lower bound) n a 4.00 Hz = 1 / ( 0.02 * h^0.75 ) Calc. Nat. Freq. Rigid TRUE = OR( Low_Rise, n a >= 1 ) G 0.85 = IF( Rigid, 0.85, NA() ) Exposure Category: Surface_Roughness D Flat, unobstructed areas and water surfaces. Includes smooth mud flats, salt lats, and unbroken ice. d 1 20000 ft ft ft d 2 0 ft IF Surface Roughness AND d 1 >= AND d 2 <= THEN Exposure_Category d min_b 1500 ft = IF( h < 30, 1500, MAX( 2600, 20 * h ) ) d min_d 5000 ft = MAX( 5000, 20 * h ) B FALSE 1500 TRUE B FALSE d max_b,c 600 ft = MAX( 600, 20 * h ) D TRUE 5000 TRUE 600 TRUE D TRUE Exp_Cat D Exp. Cat: D = IF( B,, IF( D,, "C" ) ) Topographic Factor, Kzt: IF Distance to nearest upwind hill of ht H MIN( 100 * H, 2 *5280 ) feature Hill 20000 ft >= 0 TRUE H 0 ft L h 50 ft Ht of upwind upstructions 2 H 0 ft <= 0 TRUE x 0 ft pos DownWind Distance from Crest to Bldg L h 0 ft <= 50 TRUE H / L h 0.00 = MIN( 0.5, H / L h ) L h 50 = MAX( L h, 2 * H ) Height of Hill >= 0.2 * Lh K 1/(H/L h) 1.15 Fig. 26.8-1 0 ft 10 FALSE γ 4 Fig. 26.8-1 µ 1.5 Fig. 26.8-1 Height of Hill Min h = IF( Exp_Cat = "B", 60, 15 ) 0 ft >= 15 FALSE K 1 0 = K 1/(H/L h) * H / L h K 2 1.000 = 1 - x / ( µ * L h ) All_Cond's_Met FALSE

Wind_Loads, HW_2 2 he h Leeward Wall Pressure Coefficient "Flat Roofs" ( θ < 10 o ) z 15 25 29 ft L/B 0.5 Cp Roof for θ < 10 o K 3 0.301 1.000 1.000 0.135 0.098 = EXP( -γ * z / L h ) L/B Cp Reduction Factor (RF) for Cp = -1.3 h 25.0 ft = h e RF 0.85 1-0.5 h 25 ft = h e L 25 ft K zt 1.00 1.00 1.00 1.00 1.00 = ( 1 + K 1 * K 2 * K 3 )^2 2-0.3 B 50 ft h/l 1.00 = h / L h/2 13 K zt 1.00 1.00 1.00 1.00 1.00 = IF( All_Cond's_Met, K zt, 1 ) 4-0.2 A trib 625 sf = h/2 * B h 25 A trib RF 2h 50 row L/B Cp 100 1 Velocity Pressure Coefficient, Kz and Velocity Pressure, q lower 1 1-0.5 250 0.9 1. Negative Pressures α 11.5 1000 0.8 - - - Dist. from Windward Edge - - - z g 700 ft actual 0.50-0.50 h/l 0 - h/2 h/2 - h h - 2h > 2h row A trib RF 0.5-0.9-0.9-0.5-0.3 ft he h upper 1 1-0.5 lower 2 250 0.9 z 15 25 29 ft 1.00-1.11-0.70-0.70-0.70 K z 0.00 0.00 1.03 1.13 1.16 = 2.01 * ( z / z g )^(2/α) C p_lee_wall -0.50 actual 625 0.85 1-1.11-0.7-0.7-0.7 q 0.0 0.0 72.6 79.4 81.5 psf = 0.00256 * K zt * K z * K d * V^2 upper 3 1000 0.8 RF 0.85 - - - Dist. from Windward Edge - - - 0-13 13-25 25-50 > 50 ft MWFRS: Cp_FLAT_ROOF_1-1.11-0.70-0.70-0.70 G 0.85 h 29.0 ft L/B 0.50 = L / B GC pi 0.55 L 25 ft h/l 1.16 = h / L 2. Small Negative Pressures q z 80 psf B 50 ft q h 82 psf θ 32.6 o Cp_FLAT_ROOF_2-0.18 External Pressure Coefficients, Cp: "Pitched Roofs" ( θ >= 10 o ) Cp Roof for θ >= 10 o C p -.25,.20-0.60 h 29 ft h/l 1.16 = h / L Walls: Reduction Factor (RF) for Cp = -1.3 L 25 ft θ 32.62 degrees Windward 0.8 L 25 ft RF 0.85 Leeward -0.50 0.8-0.50 B 50 ft Negative Pressures Side -0.7 A trib 625 sf = L/2 * B Windward θ Leeward θ A trib RF h/l 10 15 20 25 30 35 45 60 10 15 20 Roof: 100 1 0.25-0.7-0.5-0.3-0.2-0.2 0-0.3-0.5-0.6 Pitched C p_2 250 0.9 0.5-0.9-0.7-0.4-0.3-0.2-0.2 0-0.5-0.5-0.6 Windward -0.25 0.20 1000 0.8 1-1.11-1 -0.7-0.5-0.3-0.2 0-0.7-0.6-0.6 Leeward -0.60 = (-1.3) * RF row A trib RF lower upper lower upper Flat - - - - - - - - C p_1 - - - - - - - - - - C p_2 lower 2 250 0.9 5 6 3 3 - - - Dist. from Windward Edge - - - h/l \ θ 30 32.62 35 20 32.62 20 0-13 13-25 25-50 > 50 ft -0.18 actual 625 0.85 lower 3 1-0.3-0.25-0.2-0.6-0.60-0.6-1.11-0.70-0.70-0.70 1.16-0.25-0.60 upper 3 1000 0.8 upper 3 1-0.3-0.25-0.2-0.6-0.60-0.6 RF 0.85 Cp_PITCHED_WINDWARD_1-0.25 Cp_PITCHED_LEEWARD -0.60 Design Wind Pressures, p: - - - +'ve Gcpi - - - - - - -'ve Gcpi - - - Positive Pressures Windward θ - - - - - - p, psf - - - - - - - - -62-87 59 3 h/l 10 15 20 25 30 35 45 60 +'ve GCpi -'ve GCpi 0.25-0.18 0 0.2 0.3 0.3 0.4 0.4 0.326 0.5-0.18-0.18 0 0.2 0.2 0.3 0.4 0.326 Walls: 9-80 100 10 1-0.18-0.18-0.18 0 0.2 0.2 0.3 0.326 Windward 9 100 Leeward -80 10 Side -94-4 lower upper 5 6 Roof: h/l \ θ 30 32.62 35 Pitched lower 3 1 0.2 0.20 0.2 Windward -62 59 1.16 0.20 use zero rather than interpolate between +'ve and -'ve values Leeward -87 3.3 upper 3 1 0.2 0.20 0.2 Flat - - - - - - - +'ve Gcpi - - - - - - - - - - - - - Dist. from Windward Edge - - - 0-13 13-25 25-50 > 50 ft -'ve GCpi Cp_PITCHED_WINDWARD_2 0.20-122 -94-94 -94-58

Wind_Loads, HW_2 3 C&C: Enclosure PARTIALLY ENCLOSED Gcpi 0.55 q h 82.0 psf θ 32.6 degrees L 25 ft a 2.5 ft = MIN( 0.1 * MIN( L, W ), 0.4 * h ) W 50 ft a min 3.0 ft = MIN( 0.4 * MIN( L, W), 3 ) h 29.0 ft a 3.0 ft = MAX( a, a min) Walls: (ft) GCp* (ft) (ft) Effective (sf) - - - - - - - - Surface - - - - - - - component Span Width Width A eff 4 & 5-4 -5 studs 15.00 1.33 5.00 75.00 0.85-0.95-1.09 sheathing 1.33 4.00 4.00 5.33 1.00-1.10-1.40 fastener 1.33 1.00 1.00 1.33 1.00-1.10-1.40 *from C&C GCp sheet Calc Wall p, psf GCp's - - - - - - - - Surface - - - - - - - component GCpi 4 & 5-4 -5 studs +'ve 24.2-122.6-134.6 = qh * (GCp - GCpi) -'ve 114.4-32.4-44.4 = qh * (GCp + GCpi) sheathing +'ve 36.9-135.3-159.9 -'ve 127.1-45.1-69.7 Wall Surfaces Roof Surfaces, θ <= 7 ο fastener +'ve 36.9-135.3-159.9 -'ve 127.1-45.1-69.7 Roof Surfaces, 7 ο < θ <= 27 ο Roof Surfaces, 27 ο < θ <= 45 ο Roof: overhang TRUE (ft) GCp* (ft) (ft) Effective (sf) - - - - - - - - Surface - - - - - - - component Span Width Width A eff 1, 2 & 3-1 -2-3 top chord 14.8 2.00 4.95 73.42 0.81-0.82-2.00-1.82 sheathing 2.00 4.00 4.00 8.00 0.90-1.00-2.00-2.00 fastener 2.00 1.00 1.00 2.00 0.90-1.00-2.00-2.00 *from C&C GCp sheet Calc Roof p, psf GCp's - - - - - - - - Surface - - - - - - - component GCpi 1, 2 & 3-1 -2-3 top chord +'ve 21.1-112.0-209.1-194.0 = qh * (GCp - GCpi) -'ve 111.3-21.8-118.9-103.8 = qh * (GCp + GCpi) sheathing +'ve 28.7-127.1-209.1-209.1 -'ve 118.9-36.9-118.9-118.9 fastener +'ve 28.7-127.1-209.1-209.1 -'ve 118.9-36.9-118.9-118.9

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