For the shaded area, determine the moments of inertia with respect to the given x and y axes.PLEASE FOLLOW THE FORMAT FOR SOLUTION 1"6"3"1"2"4" 2. Determine the moment of inertia of the T-sectionshown in the figure about its centroidal X, axis.Also, compute the radius of gyration of the areawith respect to the Xo axis.-XoSolution:-XedzThe area can be dividded into two rectanales. I, for a rectangle isbh.Solve first for the location of the centroidal axis xeY, in7.1, intd, indi=2Ad, in48PartsArea, in?Ay, in1284117(6)(2)' = 412336da=248ㅎ(2)(6)"= 36Total24120409612024ý= 5 inIso = 2ī, + ĽAd²= 40 + 96Io = 136 in*Radius of gyration:xo136sample format24Txe = 2.38 in

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Answered: For the shaded area, determine the…

Engineering

Civil Engineering

For the shaded area, determine the moments of inertia with respect to the given x and y axes.

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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Question

For the shaded area, determine the moments of inertia with respect to the given x and y axes.

PLEASE FOLLOW THE FORMAT FOR SOLUTION

2. Determine the moment of inertia of the T-section
shown in the figure about its centroidal X, axis.
Also, compute the radius of gyration of the area
with respect to the Xo axis.
-Xo
Solution:
-Xe
dz
The area can be dividded into two rectanales. I, for a rectangle isbh.
Solve first for the location of the centroidal axis xe
Y, in
7.
1, int
d, in
di=2
Ad, in
48
Parts
Area, in?
Ay, in
12
84
1
17(6)(2)' = 4
12
3
36
da=2
48
ㅎ(2)(6)"= 36
Total
24
120
40
96
120
24
ý= 5 in
Iso = 2ī, + ĽAd²
= 40 + 96
Io = 136 in*
Radius of gyration:
xo
136
sample format
24
Txe = 2.38 in

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