A beam is supported at both ends and has the central half of its span reinforced such that its flexural rigidity is 2EI; the flexural rigidity of the remaining parts of the beam is EI. The beam has a span L and carries a vertically downward concentrated load, W, at its mid-span point. Assuming a deflected shape function of the form 40mx² -(3L– 4x) (0

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Author:Segui, William T.
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Chapter5: Beams
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Problem 5.5.8P
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A beam is supported at both ends and has the central half of its span reinforced such that its flexural
rigidity is 2EI; the flexural rigidity of the remaining parts of the beam is EI. The beam has a span L
and carries a vertically downward concentrated load, W, at its mid-span point. Assuming a
deflected shape function of the form
40mx?
-(3L– 4x) (0<x<L/2)
in which nm is the deflection at the mid-span point, determine the value of vm-
Ans. 0.00347 WL³IEI.
Transcribed Image Text:A beam is supported at both ends and has the central half of its span reinforced such that its flexural rigidity is 2EI; the flexural rigidity of the remaining parts of the beam is EI. The beam has a span L and carries a vertically downward concentrated load, W, at its mid-span point. Assuming a deflected shape function of the form 40mx? -(3L– 4x) (0<x<L/2) in which nm is the deflection at the mid-span point, determine the value of vm- Ans. 0.00347 WL³IEI.
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