a) P Ans. A 8c = Pa (3Lx - 3x² - a? ) AAc I 6EI x=L/2 tangent at C P(a) P(a) M - diag. AAc = 1/EI(Area of M-diag from A to C about A) = deviation of A with respect to a tangent drawn at C dc = AAC b) P Ans. L/2 L/2 A B Sc = PL3 AAc I 48EI x=L/2 PL/4 M - diag. dc = AẠC

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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Determine the deflection of the following using Area- Moment Method. Use the conventional moment diagram below. Do not use moment-diagram by parts.

a)
P
Ans.
A
dc = Pa_ (3Lx - 3x² - a? )
AAc I
6EI
x=L/2
tangent at C
P(a)
P(a)
M - diag.
AAc = 1/EI(Area of M-diag from A to C about A)
= deviation of A with respect to a tangent drawn at C
dc = AAC
b)
P
Ans.
dc = PL3
L/2
L/2
A
B
AAc I
48EI
x=L/2
PL/4
M - diag.
dc = AẠC
Transcribed Image Text:a) P Ans. A dc = Pa_ (3Lx - 3x² - a? ) AAc I 6EI x=L/2 tangent at C P(a) P(a) M - diag. AAc = 1/EI(Area of M-diag from A to C about A) = deviation of A with respect to a tangent drawn at C dc = AAC b) P Ans. dc = PL3 L/2 L/2 A B AAc I 48EI x=L/2 PL/4 M - diag. dc = AẠC
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