AISC13th WT Members Version 0
2
Cálculo da Resistência a Compressão de Perfis "T" Laminados Tipo WT (1/2W) American Institute of Steel Construction (AISC) - Load and Resistance Factor Design (LRFD) - 13th Edition / 2005 O.S.: liente: espon.: Obra: Data: Título: evisão: 2.05E+06 erfil Adotado: WT 75 x 6,50 Peso (kg/m) = 6.50 Aço ASTM A572 Grau d (mm) = 74.2 8.13 3,500 100.0 37.7 4,500 4.95 41.4 0.69 4.32 6.5 1.66 h (mm) = 69.3 8.3 3.40 y (cm) = 1.62 2.15 11.5 0.41 2.26 12.7 200 0.00 cm 1.37 cm 3.40 cm Esbeltez dos El 200 11.56 cm² 0.84 Flange: 10,000 Alma: Verificação da Esbeltez da Barra Flange: 93 Ok! 88 Cálculo da Resistência a Compressão para Flambagem Por Flexão em Torno do Eixo X ### ### 13.55 24.93 ### Flange Compacto 1.00 13,687 kgf Alma: Cálculo da Resistência a Compressão para Flambagem Por Torção e Flexo-Torção ### ### ### 18.15 24.93 ### Alma Compacta 1.00 Q = 1.00 ### Tração - Resistência ao Escoamento da Seção Bruta 13,656 kgf 25,610 kgf Ag (cm 2 ) = Fy (kgf/cm 2 ) = bf (mm) = Ix (cm 4 ) = Fu (kgf/cm 2 ) = tf (mm) = Iy (cm 4 ) = It (cm 4 ) = tw (mm) = wx (cm 3 ) = Cw (cm 6 ) = wy (cm 3 ) = rt (cm) = rx (cm) = Zx (cm 3 ) = yp (cm) = ry (cm) = Zy (cm 3 ) = Kx·Lx (cm) = x0 = y0 = Ky·Ly (cm) = / 2·tf = Nd (kgf) = d / tw = Cálculo de Qa, Qs e Q. Kx·Lx/rx = Ky·Ly/ry = 0,44·Q·Fy = Fcrx = Qsf = fc·Pnx = 0,90·Fcrx·Ag = Nd / fc·Pnx = 0,44·Q·Fy = Fcr = Qsw = fc·Pn = 0,90·Fcr·Ag = Nd / fc·Pn = ft·Pn = 0,90·Fy·Ag = 0 , 75 ⋅ √ E F y = 1 , 03 ⋅ √ E F y = r 0 = F ex = π 2 ·E ( K·L r ) x 2 = F e = ( F ey +F ez 2 ·H ) · [ 1− √ 1− 4 ·F ey ·F ez ·H ( F ey + F ez ) 2 ] = 1 , 03 ⋅ √ E F y = 0 , 56 ⋅ √ E F y = F e ≥0 , 44· Q·F y →F cr =Q ⋅ (0 , 658 Q ⋅ F y F e ·F y ) F e <0 , 44 ·Q·F y →F cr =0 , 877 ·F e F e ≥0 , 44· Q·F y →F cr =Q ⋅ (0 , 658 Q ⋅ F y F e ·F y ) F e <0 , 44 ·Q·F y →F cr =0 , 877 ·F e r 0 2 =x 0 2 +y 0 2 + I x +I y A g = H=1− x 0 2 + y 0 2 r 0 2 = b f 2 ⋅ t f ≤0 , 56 ⋅ √ E F y →Q sf =1 , 00 0 , 56 ⋅ √ E F y < b f 2 ⋅ t f ≤1 , 03 ⋅ √ E F y → Q sf =1 , 415−0 , 74 ⋅ ( b f 2 ⋅ t f ) ⋅ √ F y E b f 2 ⋅ t f >1 , 03 ⋅ √ E F y →Q sf = 0 , 69 ⋅ E F y ⋅ ( b f 2 ⋅ t f ) 2 d t w ≤0 , 75 ⋅ √ E F y →Q sw =1 , 00 0 , 75 ⋅ √ E F y < d t w ≤1 , 03 ⋅ √ E F y →Q sw =1 , 908−1 , 22 ⋅ ( d t w ) ⋅ √ F y E d t w >1 , 03 ⋅ √ E F y →Q sw = 0 , 69 ⋅ E F y ⋅ ( d t w ) 2 F ez = [ π 2 · E·C w ( K z ·L Z) 2 +G·J ] · 1 A g · r 0 2 = F ey = π 2 ·E ( K·L r ) y 2 =
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Transcript of AISC13th WT Members Version 0
AISC WTClculo da Resistncia a Compresso de Perfis "T"
Laminados Tipo WT (1/2W)American Institute of Steel Construction
(AISC) - Load and Resistance Factor Design (LRFD) - 13th Edition /
2005O.S.:Cliente:Respon.:Obra:Data:Ttulo:Reviso:2.05E+06Perfil
Adotado:WT 75 x 6,50Peso (kg/m) =6.50Ao ASTM A572 Grau 50Ok!d (mm)
=74.2Ag (cm2) =8.13Fy (kgf/cm2) =3,500Ok!bf (mm) =100.0Ix (cm4)
=37.7Fu (kgf/cm2) =4,5000.73tf (mm) =4.95Iy (cm4) =41.4It (cm4)
=0.690.73tw (mm) =4.32wx (cm3) =6.5Cw (cm6) =1.66Ok!h (mm) =69.3wy
(cm3) =8.3rt (cm) =3.40y (cm) =1.62rx (cm) =2.15Zx (cm3) =11.5yp
(cm) =0.41ry (cm) =2.26Zy (cm3) =12.7KxLx (cm) =200x0 =0.00 cmy0
=1.37 cm3.40 cmEsbeltez dos ElementosKyLy (cm) =20011.56
cm0.84Flange:bf / 2tf =10.10Nd (kgf) =10,000Alma:d / tw
=17.18Clculo de Qa, Qs e Q.Verificao da Esbeltez da
BarraFlange:KxLx/rx =93Ok!KyLy/ry =88Ok!Clculo da Resistncia a
Compresso para FlambagemPor Flexo em Torno do Eixo X2,338
kgf/cm0,44QFy =1,540 kgf/cm13.5524.93Fcrx =1,871 kgf/cmFlange
CompactoQsf =1.00fcPnx = 0,90FcrxAg =13,687 kgfNd / fcPnx
=0.73Alma:Clculo da Resistncia a Compresso para FlambagemPor Toro e
Flexo-Toro2,584 kgf/cm0,44QFy =1,540 kgf/cmFcr =1,866
kgf/cm18.1524.935,817 kgf/cmAlma CompactaQsw =1.00Q =1.002,330
kgf/cmTrao - Resistncia ao Escoamento da Seo BrutafcPn = 0,90FcrAg
=13,656 kgfNd / fcPn =0.73ftPn = 0,90FyAg =25,610
kgfDESIGNAOMassadbfhESPESSURAEIXO X - XEIXO Y - YSI
tCwrtHyypQsLineartwtfIxWxrxZxIyWyryZykg/mmmmmmmmmmmcm4cm3cmcm4cm4cm3cmcm4cm2cm4cm6cmcmcmWT
75 x
6,506.5074.210069.254.324.9537.76.52.1511.541.48.32.2612.78.10.691.73.400.8391.620.411.000WT
75 x
9,009.0076.710269.595.847.1154.99.22.1916.662.412.32.3319.011.51.874.83.480.8461.720.561.000WT
75 x
11,2511.2576.215269.605.846.6058.79.52.0216.9194.025.63.6838.814.32.109.24.340.9371.420.471.000WT
75 x
12,0012.0079.810269.506.6010.3070.311.22.1420.592.018.02.4527.715.34.6211.43.480.8801.720.751.000WT
75 x
14,9014.9078.715369.436.609.2773.311.41.9721.1276.036.23.8155.119.04.9923.04.390.9531.420.621.000WT
75 x
18,5518.5581.015469.408.1311.6095.314.52.0027.5355.046.03.8670.123.79.5345.94.470.9531.550.771.000WT
100 x
7,507.50100.010094.794.325.2189.511.73.0520.843.78.72.1313.59.60.883.14.320.7492.420.480.735WT
100 x
9,659.65102.010295.525.846.48120.016.03.1228.556.611.22.1417.512.41.807.24.420.7332.620.611.000WT
100 x
11,2511.25103.010295.006.228.00137.017.53.1031.370.813.92.2321.814.32.8310.34.370.7602.530.701.000WT
100 x
13,3013.30103.013394.625.848.38142.017.22.9030.5166.024.93.1238.217.03.5615.14.570.8632.120.641.000WT
100 x
15,6515.65105.013494.806.3510.20162.019.32.8434.6203.030.33.2046.519.95.8724.64.570.8772.110.741.000WT
100 x
17,9517.95101.016590.806.2210.20147.017.72.5432.4380.046.04.0970.122.87.2038.74.980.9361.770.691.000WT
100 x
20,8520.85102.016690.207.2411.80176.021.02.5739.0450.054.24.1182.626.611.2061.85.030.9351.860.801.000WT
100 x
23,0523.05102.020391.007.2411.00178.021.02.4639.2770.076.05.13115.029.411.1087.85.790.9611.700.721.000WT
100 x
26,0026.00103.020490.407.8712.60201.023.42.4644.4887.087.05.16132.033.216.00129.05.840.9631.750.821.000WT
100 x 26,50----------------------WT 100 x
29,5029.50105.020590.809.1414.20239.027.72.5153.31,020.0100.05.18151.037.923.20192.05.890.9611.870.931.000WT
100 x
35,5035.50108.020690.6010.2017.40285.032.32.5064.61,270.0123.05.28187.045.540.70349.05.940.9661.971.101.000WT
100 x
43,0043.00111.020990.4013.0020.60380.042.82.6286.01,560.0150.05.33228.055.169.10612.06.050.9612.221.321.000WT
125 x
8,958.95125.0101119.674.835.33181.020.03.9936.145.49.01.9914.211.41.136.95.490.6613.450.820.593WT
125 x
11,1511.15127.0102120.145.846.86227.024.63.9944.460.411.82.0618.814.32.1612.85.490.6723.480.780.810WT
125 x
12,6512.65129.0102120.626.108.38252.026.53.9647.574.114.52.1422.916.13.2316.45.360.7033.350.790.843WT
125 x
14,2014.20130.0102120.006.3510.00278.028.53.9150.889.517.52.2227.418.14.8321.45.280.7293.250.890.873WT
125 x
16,3516.35129.0146119.866.109.14286.028.23.7149.5238.032.63.3850.020.94.9528.75.490.8302.720.720.837WT
125 x
19,2519.25131.0147119.806.6011.20327.031.33.6655.6293.040.03.4561.524.68.3746.55.460.8482.690.840.904WT
125 x
22,4022.40133.0148120.007.6213.00386.036.73.6865.7348.047.03.4872.328.512.9073.35.510.8492.790.971.000WT
125 x 31,00----------------------WT 125 x
36,50----------------------WT 125 x
40,0040.00128.0254112.409.4015.60462.043.33.0282.82,150.0169.06.50256.051.037.80478.07.290.9662.121.001.000WT
125 x 42,50----------------------WT 125 x
44,5044.50130.0257112.7010.7017.30537.049.83.0796.22,420.0188.06.53287.056.951.20661.07.340.9642.251.111.000WT
125 x
50,5050.50132.0257112.4011.9019.60620.057.23.10112.02,780.0216.06.55328.064.574.10972.07.390.9652.371.251.000WT
125 x
57,5057.50135.0259112.9013.5022.10724.066.43.15132.03,200.0247.06.60375.072.9106.001,430.07.470.9642.511.411.000WT
155 x
10,5010.50151.0101145.285.085.72319.030.04.8854.449.19.71.9115.513.41.4613.26.710.6114.471.930.451WT
155 x
11,9011.90152.0101145.275.596.73362.033.44.8861.058.711.61.9618.515.22.1318.26.650.6244.421.620.539WT
155 x
14,1514.15154.0102145.115.978.89420.037.44.8367.478.315.42.0924.418.03.7425.16.450.6654.190.880.598WT
155 x
16,3516.35156.0102145.206.6010.80487.042.44.8375.997.018.82.1530.020.96.0836.86.400.6834.141.020.711WT
155 x
19,3519.35155.0165145.355.849.65487.039.34.4568.8360.043.83.8466.924.66.2446.76.450.8273.180.750.567WT
155 x
22,2522.25157.0166145.806.6011.20562.045.14.4579.1425.051.13.8678.328.49.4971.76.450.8303.230.860.708WT
155 x
26,0026.00159.0167145.807.6213.20666.052.94.4793.6508.061.13.9193.933.415.40117.06.500.8343.301.000.855WT
155 x 39,50----------------------WT 155 x
46,50----------------------WT 155 x
48,5048.50154.0305138.609.9115.40857.066.53.73123.03,630.0238.07.67361.061.545.40798.08.710.9602.501.011.000WT
155 x
53,5053.50156.0305139.0010.9017.00966.074.43.76139.04,060.0265.07.72403.068.460.801,090.08.760.9602.591.121.000WT
155 x 55,00----------------------WT 155 x
58,5058.50157.0307138.3011.9018.701,070.082.43.78156.04,500.0293.07.75444.074.879.501,460.08.810.9602.691.221.000WT
155 x 64,50----------------------WT 180 x
16,4516.45174.0127165.495.848.51616.047.75.4485.2146.022.92.6435.921.04.3336.07.260.6894.470.830.448WT
180 x
19,5019.50177.0128166.306.4810.70720.054.25.3896.5185.029.02.7445.224.87.4555.67.160.7124.370.970.538WT
180 x
22,0022.00176.0171166.226.869.78791.058.25.26102.0407.047.73.7873.628.57.9177.17.370.7724.010.840.609WT
180 x
25,5025.50178.0171166.407.2411.60870.062.85.18110.0483.056.53.8987.232.311.80107.07.290.7923.890.940.668WT
180 x
28,9028.90179.0172165.907.8713.10970.069.25.18122.0554.064.63.94100.036.016.60149.07.260.7993.911.050.758WT
180 x
32,0032.00173.0203159.507.7513.50912.065.24.72116.0941.092.64.80142.040.721.70202.07.260.8653.331.000.776WT
180 x
36,0036.00175.0204159.908.6415.101,040.073.64.78131.01,070.0105.04.85161.045.630.10287.07.290.8663.431.120.883WT
180 x
39,5039.50177.0205160.209.4016.801,150.081.04.78145.01,200.0117.04.88180.050.340.20392.07.340.8683.511.230.957WT
180 x
45,5045.50177.0254160.609.5316.401,200.083.14.57150.02,240.0175.06.22269.057.845.40615.08.050.9153.181.140.972WT
180 x
50,5050.50178.0254159.7010.5018.301,360.093.24.60170.02,530.0198.06.25302.064.562.40862.08.100.9163.281.261.000WT
180 x
55,0055.00180.0257160.1011.4019.901,500.0102.04.62188.02,780.0218.06.30331.070.380.301,130.08.150.9163.351.371.000WT
180 x
61,0061.00182.0257160.3013.0021.701,710.0117.04.70216.03,080.0239.06.30367.077.4105.001,510.08.230.9123.531.511.000WT
205 x
19,4019.40199.0140190.246.358.76978.067.06.27121.0199.028.52.8444.724.85.4165.38.430.6675.310.950.406WT
205 x
23,0523.05202.0140190.806.9911.201,140.076.06.22136.0258.036.72.9757.529.49.5798.38.280.6955.131.050.480WT
205 x
26,5026.50201.0178190.107.4910.901,270.082.86.12146.0508.057.43.8688.834.111.30139.08.380.7454.780.960.554WT
205 x
30,0030.00203.0178190.207.7512.801,380.087.76.02155.0599.067.53.96104.038.016.50181.08.230.7694.601.070.581WT
205 x
33,5033.50205.0179190.608.7614.401,570.0100.06.07177.0683.076.53.99118.042.823.10262.08.310.7674.721.200.726WT
205 x
37,5037.50207.0180191.009.6516.001,760.0111.06.10197.0774.086.24.04134.047.531.60360.08.330.7694.801.320.826WT
205 x
42,5042.50209.0181190.8010.9018.202,030.0127.06.12226.0899.099.34.06154.054.145.80534.08.380.7704.931.500.942WT
230 x
26,0026.00225.0152214.207.6210.801,670.0102.07.09184.0319.042.03.1065.933.210.50161.09.500.6626.071.140.460WT
230 x
30,0030.00227.0153213.708.0013.301,860.0110.07.01197.0398.051.93.2381.437.916.80212.09.270.6935.821.240.495WT
230 x
34,0034.00229.0154213.609.1415.402,170.0127.07.04228.0470.060.83.2895.743.725.30322.09.320.6955.921.420.636WT
230 x
37,0037.00229.0191214.509.0214.502,230.0128.06.86226.0832.087.74.19136.047.325.80365.09.300.7485.381.240.623WT
230 x
41,0041.00230.0191214.009.9116.002,480.0141.06.88251.0937.097.84.24152.052.334.50494.09.350.7495.491.370.734WT
230 x
44,5044.50232.0192214.3010.5017.702,690.0152.06.88270.01,040.0109.04.27169.056.945.00631.09.320.7565.491.480.797WT
230 x
48,5048.50233.0193213.9011.4019.102,940.0166.06.91295.01,140.0118.04.29184.061.656.60808.09.370.7555.591.600.877WT
230 x
53,0053.00235.0194214.4012.6020.603,250.0184.06.96328.01,250.0129.04.32202.067.172.401,060.09.450.7525.741.730.965WT
265 x
33,0033.00262.0165250.608.8911.402,960.0159.08.41288.0429.052.13.2083.141.915.90376.011.400.6237.572.690.459WT
265 x
36,0036.00262.0207251.108.8910.903,120.0162.08.28292.0807.078.04.22122.045.616.60408.011.300.6766.961.170.461WT
265 x
37,0037.00264.0166250.409.6513.603,340.0175.08.38318.0520.062.63.30100.047.523.70508.011.300.6407.441.960.532WT
265 x
41,0041.00264.0209250.709.5313.303,510.0179.08.20318.01,010.096.54.39150.052.325.70559.011.100.7036.711.250.520WT
265 x
42,5042.50267.0167250.5010.3016.503,760.0193.08.36347.0637.076.53.43121.054.036.80671.011.100.6657.241.620.592WT
265 x
46,0046.00267.0209251.4010.2015.603,900.0195.08.15346.01,190.0114.04.50179.058.938.00747.010.900.7216.551.410.581WT
265 x
50,5050.50269.0210251.6010.9017.404,290.0211.08.13375.01,350.0128.04.57200.064.550.80972.010.900.7286.581.540.666WT
265 x
54,5054.50269.0211250.2011.6018.804,580.0226.08.15400.01,470.0139.04.60218.069.062.901,190.010.900.7326.601.640.728WT
305 x
50,5050.50302.0228287.1010.5014.905,700.0256.09.40457.01,470.0129.04.75202.064.538.801,100.012.700.6917.771.420.489WT
305 x
56,5056.50305.0228287.7011.2017.306,290.0277.09.35493.01,720.0150.04.88234.072.355.801,420.012.500.7097.621.580.541WT
305 x
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305 x
70,0070.00310.0230287.8013.1022.207,740.0333.09.32592.02,270.0197.05.03306.089.0109.002,570.012.400.7277.591.940.715WT
305 x
77,5077.50305.0325285.9012.7019.107,870.0328.08.92575.05,410.0333.07.39511.098.797.803,120.012.900.8096.581.520.692WT
305 x
87,0087.00307.0325285.4014.0021.608,820.0365.08.92642.06,200.0380.07.47585.0111.0139.004,400.012.900.8146.651.710.793@
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