Subject: Solving for moments of inertia I am working on my review for my final. I am having difficulty getting to the answers they have provided (included attached).Can you do some of these and show the work for me? I must be missing a step because i can get close but cannot get to the answers they have included.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Subject: Solving for moments of inertia

I am working on my review for my final. I am having difficulty getting to the answers they have provided (included attached).Can you do some of these and show the work for me? I must be missing a step because i can get close but cannot get to the answers they have included. 

 

 

 

 

5.1
Review Problems
1. Determine the moments of inertia Iy and Iy about the centroidal x-x axis and y-y axis for the following shapes.
Take the bottom left corner as the origin.
Y
Y
20
30R
可
2.00
1.00
80
5.00
64 x 286
38 x 140
TYP.
38 x 337
TYP.
89 x 235
Answers:
(x, ỹ ) = (2.40, 4.81); Ix = 396 mm4 ly = 99.1 mm4
(i)
(i)
(x, ỹ ) = (48.9, 180); Ix = 169 mm4 ly = 33.1 mm4
(x, ỹ ) = (21.6, 41.2); Ix = 3.68 x 10° mm ly = 1.37 x 106 mm4
(x, ỹ ) = (143, 187); Ix = 321 x 10 mm ly = 139 x 106 mmt
(v)
(iv)
(x, y ) = (169, 79.3); Ix = 153 x 106 mm4 Iy = 260 x 106 mm4
80R
Transcribed Image Text:5.1 Review Problems 1. Determine the moments of inertia Iy and Iy about the centroidal x-x axis and y-y axis for the following shapes. Take the bottom left corner as the origin. Y Y 20 30R 可 2.00 1.00 80 5.00 64 x 286 38 x 140 TYP. 38 x 337 TYP. 89 x 235 Answers: (x, ỹ ) = (2.40, 4.81); Ix = 396 mm4 ly = 99.1 mm4 (i) (i) (x, ỹ ) = (48.9, 180); Ix = 169 mm4 ly = 33.1 mm4 (x, ỹ ) = (21.6, 41.2); Ix = 3.68 x 10° mm ly = 1.37 x 106 mm4 (x, ỹ ) = (143, 187); Ix = 321 x 10 mm ly = 139 x 106 mmt (v) (iv) (x, y ) = (169, 79.3); Ix = 153 x 106 mm4 Iy = 260 x 106 mm4 80R
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