A beam AB of length L (Figure below) is freely supported at A and at a point C which is at a distance KL from the end B. If a uniformly distributed load of intensity w per unit length acts on AC, find the value of K which will cause the upward deflection of B to equal the downward deflection midway between A and C. A W B 2 KL k L Round your answer to 2.d.p Hint: Since there are no loads on the part CB of the beam and the implication in the question is that the beam is weightless, the length CB will remain straight but will rotate about C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A beam AB of length L (Figure below) is freely supported at A and at a point C which is at a distance
KL from the end B. If a uniformly distributed load of intensity w per unit length acts on AC, find the
value of K which will cause the upward deflection of B to equal the downward deflection midway
between A and C.
A
W
B
KL
L
Round your answer to 2.d.p
Hint: Since there are no loads on the part CB of the beam and the implication in the question is that
the beam is weightless, the length CB will remain straight but will rotate about C.
Transcribed Image Text:A beam AB of length L (Figure below) is freely supported at A and at a point C which is at a distance KL from the end B. If a uniformly distributed load of intensity w per unit length acts on AC, find the value of K which will cause the upward deflection of B to equal the downward deflection midway between A and C. A W B KL L Round your answer to 2.d.p Hint: Since there are no loads on the part CB of the beam and the implication in the question is that the beam is weightless, the length CB will remain straight but will rotate about C.
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