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Theory of Structures

Q1: A simply supported uniform rectangular bar breadth b, depth d and length L, carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

A

B

C

D

ANS:C -

Max Deflection = wl3/48EI.
Elongation = pl/AE.

Now, max deflection/elongation.
=(Wl3/48EI)/(pl/AE).
=(l/2d)2.



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