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

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

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.5.8P

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Question

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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