6. A simply supported beam of L length carries a uniformly distributed load W throughout its length as shown. Determine the position of the support R1 and R2 with respect to the ends, X, so that the bending moment on the beam is the least possible or minimum. (Hint: The bending moment is at minimum when the maximum positive moment is equal to the maximum negative moment.) Find X in terms of L. W 'R1 R2

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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6. A simply supported beam of L length carries a uniformly distributed load W throughout its length as
shown. Determine the position of the support R1 and R2 with respect to the ends, X, so that the
bending moment on the beam is the least possible or minimum. (Hint: The bending moment is at
minimum when the maximum positive moment is equal to the maximum negative moment.) Find X
in terms of L.
W
X
'R1
R2
L
Transcribed Image Text:6. A simply supported beam of L length carries a uniformly distributed load W throughout its length as shown. Determine the position of the support R1 and R2 with respect to the ends, X, so that the bending moment on the beam is the least possible or minimum. (Hint: The bending moment is at minimum when the maximum positive moment is equal to the maximum negative moment.) Find X in terms of L. W X 'R1 R2 L
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