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Theory of Structures

Q1:
The general expression for the B.M. of a beam of length l is the beam carries

A a uniformly distributed load w/unit length

B a load varying linearly from zero at one end to w at the other end

C an isolated load at mid span

D none of these.

ANS:A - a uniformly distributed load w/unit length

RA=RB= WL/2

Taking moment at a point Z, X distance from either support A or B gives: (Wx^2/2)-(WL/2)*x.

where:
Wx^2/2--------------> udl component.
(WL/2)*x-------------> reaction/support component.



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