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4" 1" 6" 3h 1" 2" 4"

4" 1" 6" 3h 1" 2" 4"

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

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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
Transcribed Image Text: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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Transcribed Image Text:1" 6" 3" 1" 2" 4"
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