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Simply supported steel beams design to EC3
inc20dx0.3
Designation
DepthWidth
Thickness
RootDepth
Second Moment
Elastic
PlasticArea of
2
Full lateral restraint is assumed
NxQMMassofofWebFlangeRadiusbetween of Area
Modulus
Modulus
Section
3
Span6.00m00.0187.10SerialperSectionSectionfilletsAxisAxisAxisAxisAxisAxis
4
Variable loads (Q)
Permanant loads (G)
10.3168.453.330sizemetreDBtTrdx-xy-yx-xy-yx-xy-yA
5
udlpointpointudlpointpoint20.6149.7101.050
mm
kgmmmmmmmmmmmmcm^4cm^4cm^3cm^3cm^3cm^3cm^2
6
Load (kN)2450050030.9131.0143.150127x7613127.076.24.27.67.696.6477.0156.3574.6514.9085.022.7516.771
127x76mm x 13kg/m
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position (m)-- 48-- 4841.2112.3179.640152x8916152.488.94.67.77.6121.8838.1890.53109.420.46123.931.3520.492
152x89mm x 16kg/m
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Load Factor1.51.51.51.351.351.3551.593.6210.520178x10219177.8101.64.77.97.6146.81357.15138.5152.227.34171.141.8724.163
178x102mm x 19kg/m
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Ultimate load367.5006.750061.874.9235.780254x10222254.0101.65.86.87.6225.22852.7119.5224.123.62260.537.3528.264
254x102mm x 22kg/m
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ESDEP Example 7.8
72.156.1255.430203x10223203.2101.65.29.37.6169.42091.1163.0205.332.18232.049.4628.995
203x102mm x 23kg/m
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Left Reaction187.125kN82.437.4269.460305x10225304.8101.65.86.87.6276.04364.5119.6285.823.64336.037.7731.206
305x102mm x 25kg/m
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Right Reaction187.125kN92.718.7277.880254x10225257.0101.96.18.47.6225.03420.2148.9265.629.31306.646.0832.277
254x102mm x 25kg/m
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Max Shear Force187.1kN103.00.0280.690203x13325203.2133.45.87.87.6172.42348.8309.2230.746.43258.971.2132.198
203x133mm x 25kg/m
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Max Bending Moment
280.7kN.m113.3-18.7277.880305x10228308.9101.96.18.97.6275.95439.0157.8351.631.06408.449.1536.399
305x102mm x 28kg/m
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Steel GradeFe360123.6-37.4269.460254x10228260.4102.16.410.07.6225.24013.3178.2307.835.00354.054.8336.3010
254x102mm x 28kg/m
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Yield Stressfy235N/mm²133.9-56.1255.430203x13330206.8133.86.39.67.6172.42888.4383.9278.857.46313.388.0338.0011
203x133mm x 30kg/m
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Clause 5.1.1fyd223.8N/mm²144.2-74.9235.780254x14631251.5146.16.18.67.6219.14428.2447.7351.761.36394.694.2039.9212
254x146mm x 31kg/m
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Required Plastic Modulus
1500.0cm³154.5-93.6210.520356x12733348.5125.45.98.510.2311.18192.5280.7468.944.99539.170.1841.7713
356x127mm x 33kg/m
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See design calcs below
164.8-112.3179.640305x10233312.7102.46.610.87.6275.96501.5194.3415.338.04480.860.0441.8314
305x102mm x 33kg/m
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Try beam No.37175.1-131.0143.150305x12737303.8123.57.210.78.9264.67162.0337.3470.654.78540.385.6447.4415
305x127mm x 37kg/m
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Serial size
457x191mm x 74kg/m
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185.4-149.7101.050254x14637256.0146.46.410.97.6219.05547.7570.8432.978.05484.6119.547.4016
254x146mm x 37kg/m
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Universal Beam
for design checks
195.7-168.453.330406x14039397.3141.86.38.610.2359.712412410.3623.758.06718.390.7249.2317
406x140mm x 39kg/m
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Plastic ModulusWpl =1659cm³206.0-187.10.00356x12739352.8126.06.510.710.2311.010102.3358.3571.457.10654.388.9349.4018
356x127mm x 39kg/m
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Elastic ModulusW =1461cm³Max187.1280.69305x16540303.8165.16.110.28.9265.68551.2766.1562.192.90626.4142.051.6519
305x165mm x 40kg/m
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2nd Moment of AreaI =19536cm^4Min187.10.00305x12742306.6124.38.012.18.9264.68159.4389.1531.462.76611.998.4053.3520
305x127mm x 42kg/m
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Flange thicknesstf =14.5mm254x14643259.6147.37.312.77.6219.06554.6677.6504.592.07567.7141.255.0121
254x146mm x 43kg/m
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Self weight4.4kN356x17145352.0171.06.99.710.2312.212076810.1684.794.92773.2146.357.0222
356x171mm x 45kg/m
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406x14046402.3142.46.911.210.2359.515669540.9777.576.17889.5118.659.0023
406x140mm x 46kg/m
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Shear CapacityDtAvVpl.Rd
Vs / Vpl.Rd
305x16546307.1165.76.711.88.9265.79935.0896.0646.2108.3721.5165.558.7824
305x165mm x 46kg/m
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Clause 5.4.6457.29.1416116130.12OK305x12748310.4125.28.914.08.9264.69507.6460.2611.873.68706.4115.860.8725
305x127mm x 48kg/m
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356x17151355.6171.57.311.510.2312.214160968.7795.3113.1895.2174.164.6226
356x171mm x 51kg/m
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Class of sectionec/tfd/twClass1Class2Class3457x15252449.8152.47.610.910.2407.621369645.5949.084.911096133.366.6427
457x152mm x 52kg/m
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Table 5.3.11.006.650.2 Yes No No406x17854402.6177.67.610.910.2360.4186681020926.0115.01051177.968.5528
406x178mm x 54kg/m
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305x16554310.9166.87.713.78.9265.711694.51061751.4127.4843.4195.268.2129
305x165mm x 54kg/m
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Moment Capacity with low shear loads
356x17157358.6172.18.013.010.2312.2160611107894.6128.81009198.472.2530
356x171mm x 57kg/m
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Check Vs / Vpl.Rd <= 0.5
OK457x15260454.7152.98.013.310.2407.725448795.11118104.31283162.975.8131
457x152mm x 60kg/m
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Class 1 & 2371.3Mc.Rd =371.3kN.m406x17860406.4177.87.812.810.2360.42154112011059135.31195208.776.1132
406x178mm x 60kg/m
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Class 3327.0 OK457x19167453.6189.98.512.710.2407.82941014531295152.71472237.385.5233
457x191mm x 67kg/m
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Coefficient
457x15267457.2151.99.115.010.2406.828597879.91250116.11442182.585.3434
457x152mm x 67kg/m
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Deflection due to unfactored udl variable load
16.8mm0.01302083333406x17867409.4178.88.814.310.2360.42433113651188152.91346236.685.5435
406x178mm x 67kg/m
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Deflection due to unfactored point variable load
0.0mm0.01774691358Assumes 1/3 point loading356x17167364.0173.29.115.710.2312.21953613631072157.51213243.085.5436
356x171mm x 67kg/m
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Total (d2) =16.8mm457x19174457.2190.59.114.510.2407.83343316741461175.31659272.695.1037
457x191mm x 74kg/m
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Deflection due to unfactored udl permanant load
0.4mm457x15274461.3152.79.917.010.2406.93247010131406132.91624209.395.1138
457x152mm x 74kg/m
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Deflection due to unfactored point permanant load
0.0mm406x17874412.8179.79.716.010.2360.42742715511328172.81509267.995.3339
406x178mm x 74kg/m
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Total (d1) =0.4mm533x21082528.3208.79.613.212.7476.54752320061797192.62058300.1104.740
533x210mm x 82kg/m
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dmax17.1457x19182460.2191.39.916.010.2407.8370881871375.0195.51832303.9104.541
457x191mm x 82kg/m
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L/250 =24.0mm
dmax < L/250
OK457x15282465.1153.510.718.910.2406.93625411451558149.41802235.6104.642
457x152mm x 82kg/m
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L/300 =20.0mm
d2 < L/300
OK457x19189463.6192.010.617.710.2407.84113920931774217.72020339.0114.343
457x191mm x 89kg/m
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533x21092533.1209.310.215.612.7476.55533423902074228.42366355.8117.944
533x210mm x 92kg/m
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457x19198467.4192.811.419.610.2407.84577223481957242.72234378.9125.345
457x191mm x 98kg/m
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610x229101602.2227.610.614.812.7547.27582229162516255.72887400.5129.446
610x229mm x 101kg/m
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533x210101536.7210.110.917.412.7476.56164926972295256.12619400.1129.247
533x210mm x 101kg/m
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533x210109539.5210.711.618.812.7476.56679829402474279.12827435.4138.848
533x210mm x 109kg/m
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610x229113607.3228.211.217.312.7547.38737834352875301.53287469.6144.549
610x229mm x 113kg/m
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533x210122544.6211.912.821.312.7476.67618133892795320.03203500.0155.950
533x210mm x 122kg/m
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686x254125677.9253.011.716.215.2615.111799543853475346.23994542.4159.551
686x254mm x 125kg/m
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610x229125611.9229.011.919.612.7547.39850139333217343.23673535.4159.352
610x229mm x 125kg/m
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686x254140683.5253.712.419.015.2615.113627051863982408.44558638.2178.453
686x254mm x 140kg/m
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610x229140617.0230.113.122.112.7547.411165745013617392.04139610.9178.154
610x229mm x 140kg/m
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762x267147753.9265.312.917.516.5685.916881154654473412.45169648.1187.955
762x267mm x 147kg/m
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610x303149609.6304.811.919.716.5537.212475293114088610.24575937.5190.356
610x303mm x 149kg/m
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686x254152687.6254.513.221.015.2615.215040857864372454.25001710.2194.157
686x254mm x 152kg/m
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686x254170692.9255.814.523.715.2615.117032966334913517.65631811.4216.858
686x254mm x 170kg/m
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762x267173762.0266.714.321.616.5685.820516168535381513.76195807.5220.359
762x267mm x 173kg/m
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838x292176834.9291.614.018.817.8761.72459637796588653.006806841.3224.060
838x292mm x 176kg/m
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610x303179617.5307.014.123.616.5537.3151492114014900742.755151143227.761
610x303mm x 179kg/m
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838x292194840.7292.414.721.717.8761.727918090716635620.47640973.8246.862
838x292mm x 194kg/m
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762x267197769.6268.015.625.416.5685.823981781786227609.77164958.6250.663
762x267mm x 197kg/m
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914x305201903.0303.415.220.219.1824.432587494397210621.68372983.3256.864
914x305mm x 201kg/m
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914x305224910.3304.115.923.919.1824.3376325112428260736.695331163285.665
914x305mm x 224kg/m
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838x292226850.9293.816.126.817.8761.73397081136410120776.091551212288.666
838x292mm x 226kg/m
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610x303238633.0311.518.631.416.5537.2207750158566559101474621576304.067
610x303mm x 238kg/m
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914x305253918.5305.517.327.919.1824.5436420133079490870.7109441371322.868
914x305mm x 253kg/m
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914x305289926.6307.819.632.019.1824.450485615620108901014125911603369.269
914x305mm x 289kg/m
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914x388343911.4418.519.432.024.1799.262517739172137001873154682890437.270
914x388mm x 343kg/m
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914x388388920.5420.521.536.624.1799.171927545455156102159176713342495.071
914x388mm x 388kg/m
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