A simply-supported beam is subjected to the loading shown in Figure 10.2. The flexural stiffness of the middle-half of the span is doubled to reduce the midspan deflection. Determine: a. the maximum deflection, b. the slope and deflection at the point where flexural stiffness changes, and c. the maximum w that can be applied if the maximum allowable deflection is L/360. wL/2 | wL/2

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.2.5P: The deflection curve for a cantilever beam AB (sec figure) is given by...
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Use Vitual Work Method. 

A simply-supported beam is subjected to the loading shown in Figure 10.2. The flexural
stiffness of the middle-half of the span is doubled to reduce the midspan deflection.
Determine:
a. the maximum deflection,
b. the slope and deflection at the point where flexural stiffness changes, and
c. the maximum w that can be applied if the maximum allowable deflection is L/360.
wL/2
wL/2
El
2EI
El
LI4
L/2
LI4
Transcribed Image Text:A simply-supported beam is subjected to the loading shown in Figure 10.2. The flexural stiffness of the middle-half of the span is doubled to reduce the midspan deflection. Determine: a. the maximum deflection, b. the slope and deflection at the point where flexural stiffness changes, and c. the maximum w that can be applied if the maximum allowable deflection is L/360. wL/2 wL/2 El 2EI El LI4 L/2 LI4
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