Statically Indeterminate Truss

Statically Indeterminate Truss - = 20 5,758 x(2 x 0,333 =...

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Statically Indeterminate Truss Page 1 of 3 2005/08/11 Statically Indeterminate Truss. Determine the vertical reaction at the node H Remove the force in member CD as the redundancy. The F 0 forces: Apply a unit value of the force in the member CD f v forces
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Statically Indeterminate Truss Page 2 of 3 2005/08/11 Member F 0 f v L F 0 f v L f v f v L AB -12,5 +0,4167 2 x 5 -52,0875 1,7364 BC -7,5 +0,5000 2 x 6 -45,0000 3,0000 CD 0 +1,0000 1 x 6 0 6,0000 AI +7,5 -0,2500 2 x 6 -22,5000 0,7500 IH +7,5 -0,7500 2 x 6 -67,5000 6,7500 BI 0 -0,4167 2 x 5 0 1,7364 CI 0 +0,4167 2 x 5 0 1,7364 CH -12,5 -0,4167 2 x 5 +52,0875 1,7364 SUM -135,000 +23,4456 0 0 = + = CD CD F CD CD δ kN CD F CD CD 758 , 5 4456 , 23 00 , 135 0 = = = Reaction at H = R 0 + F CD x h
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Unformatted text preview: = 20 + 5,758 x (2 x 0,333) = 23,835 kN Alternative method: Remove the reaction at H as the redundancy: The F forces: Statically Indeterminate Truss Page 3 of 3 2005/08/11 f v forces Member F f v L F f v L f v f v L AB -25,00 -0,625 2 x 5 +156,25 +3,9063 BC -22,50 -0,750 2 x 6 +202,50 +6,750 CD -30,00 -1,500 1 x 6 +270,00 +13,500 AI +15,00 +0,375 2 x 6 +67,50 +1,6875 IH +30,00 +1,125 2 x 6 +405,00 +15,1875 BI +12,50 +0,625 2 x 5 +78,125 +3,9063 CI -12,50 -0,625 2 x 5 +78,125 +3,9063 CH 0 +0,625 2 x 5 0 +3,9063 SUM 1257,50 +52,750 = ⋅ + ∆ = ∆ HH H F H H δ kN H F HH CD 839 , 23 750 , 52 500 , 1257 − = − = ∆ − =...
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Statically Indeterminate Truss - = 20 5,758 x(2 x 0,333 =...

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