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For a given simply supported bridge, calculate support reaction for the load shown.

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Subject : Structural Analysis 1

Topic : Influence line diagram.

Difficulty : Low

1 Answer
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I.L.D for $V_A$

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$V_A=12\times\frac{6}{9}+15\times\frac{3}{9}+8\times\frac{1}{9}+5(\frac{2}{2}(\frac{3}{9}+\frac{1}{9}))+5\times(\frac{3}{2}(1+\frac{6}{9}))$

$V_A=28.61KN$


I.L.D for $V_B$

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$V_B=12\times\frac{3}{9}+15\times\frac{6}{9}+8\times\frac{8}{9}+5\times(\frac{2}{2}(\frac{6}{9}+\frac{8}{9}))+5\times(\frac{1}{2}\times 3 \times \frac{3}{9})$

$V_B=31.38KN$

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