Pr The bending stiffness of the cantileverbeam in the figure is El. Find the slump(yc) at the C end, ignoring the sheareffect, using Castigliano's theorem.200 kgf/mK-4mBShow Transcribed TextEI C2 mHint: Solve the beam by adding afictitious single load Q to the C end of thebeam.

Draw free body diagram of the beam.Here are x and y components of reaction force at A, is reaction…

Answered: The bending stiffness of the cantilever…

The bending stiffness of the cantilever beam in the figure is El. Find the slump (yc) at the C end, ignoring the shear effect, using Castigliano's theorem.

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 9.5.7P: -5-7 A cantilever beam AB carries three equalaly spaced concentrated loads, as shown in the figure....

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Question

The bending stiffness of the cantilever
beam in the figure is El. Find the slump
(yc) at the C end, ignoring the shear
effect, using Castigliano's theorem.
200 kgf/m
K-4m
B
Show Transcribed Text
EI C
2 m
Hint: Solve the beam by adding a
fictitious single load Q to the C end of the
beam.

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Step 1: Determine the reaction forces at supports.

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Step 2: Apply a dummy load at end C.

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Step 3: Apply Castigliano's second theorem.

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Solution

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