For the cantilever beam given below, use Moment-Area to find slopes at A, B and C, and displacement at B and C. Use Castigliano's 2nd Theorem to calculate the slope and displacement at B. Note the different I values along the member length. A 7777777 31 L/2 B 2P ↓ L I P ↓c с

For the cantilever beam given below, use Moment-Area to find slopes at A, B and C, and displacement at B and C. Use Castigliano's 2nd Theorem to calculate the slope and displacement at B. Note the different I values along the member length. A 7777777 31 L/2 B 2P ↓ L I P ↓c с

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

For the cantilever beam given below, use Moment-Area to find slopes at A, B and C, and displacement at B and
C. Use Castigliano's 2nd Theorem to calculate the slope and displacement at B. Note the different I values
along the member length.
A
31
L/2
2P
B↓
L
I
P
C

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Step 1: Data given

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Step 2: Draw M and M/EI diagram

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Step 3: (a) Moment-Area to find slopes at A, B and C

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Step 4: (b) Moment-Area to find Displacement at B and C.

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