E = 200 GPa, w = 16kN/m, P= 16kN and M = 24kNm, L₁ = 3m, L₂=5, L3 = 2m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The beam supports the loads as shown in the figure.
Using
E = 200 GPa,
w = 16kN/m,
P= 16kN and
M = 24kNm,
L₁ = 3m, L₂ = 5, L3= 2m and a=35mm.
Find,
a. Locate the centroid and centroidal moment of Inertia
b. If w is spread over L₁ and L2, and P and M are interchanged, determine the midspan EI8
and deflection by moment - area method
Strictly show all of the free body diagrams used upon solving the problem. Complete solution is
a must.
4a
P
W
A/O
B
M
D
L3-
-x 10a
7a
a
Transcribed Image Text:The beam supports the loads as shown in the figure. Using E = 200 GPa, w = 16kN/m, P= 16kN and M = 24kNm, L₁ = 3m, L₂ = 5, L3= 2m and a=35mm. Find, a. Locate the centroid and centroidal moment of Inertia b. If w is spread over L₁ and L2, and P and M are interchanged, determine the midspan EI8 and deflection by moment - area method Strictly show all of the free body diagrams used upon solving the problem. Complete solution is a must. 4a P W A/O B M D L3- -x 10a 7a a
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