Calculate the moments of inertia of the area in question 2 about the X-X and Y-Y centroidal axes. 2.) Locate the X-X and Y-Y centroidal axes for the area shown. Assume the "circle"is aligned horizontally with the centerline of the 2" wide "arm". Neglect any tinyamount of overlap of the two in your calculations.12"15"(2126" Diam.1) Square2)rectangle3) circleseclionAreaK inchesVinches(12")-144 12/2 =612/2=612+52= 19.510+2=12I5x2=30(32)= 28.27412+15+2= 3038+3=12-144(6)+30 (19.5)+2 8.274 (30)144+36+28-.274X-x = 12".+ 122X11.356in+ 30x (11.356 -7.440)2+ TL 97(11-7.440)64スー -2838.65iny=144(6)+30 (11)+ 28.274 (1)144+ 30+ 28.274Y= 7.440inY-Y= 12"144 (11.356-69-2x 153+(7, 5) (1. 35€ ,7.40")12+ 30(19.5 -11.356)²+T 64 9x(30-11.354)264Y-Y=18302.87in"3.) Calculate the moments of inertia of the area in question about the X-X and Y-Y centroidal axes.2.

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Answered: Calculate the moments of inertia of the…

Engineering

Civil Engineering

Calculate the moments of inertia of the area in question 2 about the X-X and Y-Y centroidal 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

Calculate the moments of inertia of the area in question 2 about the X-X and Y-Y centroidal axes.

2.) Locate the X-X and Y-Y centroidal axes for the area shown. Assume the "circle"
is aligned horizontally with the centerline of the 2" wide "arm". Neglect any tiny
amount of overlap of the two in your calculations.
12"
15"
(2
12
6" Diam.
1) Square
2)rectangle
3) circle
seclion
Area
K inches
Vinches
(12")-144 12/2 =6
12/2=6
12+52
= 19.5
10+2=1
2
I5x2=30
(32)
= 28.274
12+15+2
= 30
3
8+3=1
2-144(6)+30 (19.5)+2 8.274 (30)
144+36+28-.274
X-x = 12".
+ 122
X11.356in
+ 30x (11.356 -7.440)2
+ TL 97(11-7.440)
64
スー -2838.65in
y=144(6)+30 (11)+ 28.274 (1)
144+ 30+ 28.274
Y= 7.440in
Y-Y= 12"
144 (11.356-69-2x 153
+
(7, 5) (1. 35€ ,7.40")
12
+ 30(19.5 -11.356)²+T 64 9x(30-11.354)2
64
Y-Y=18302.87in"
3.) Calculate the moments of inertia of the area in question about the X-X and Y-
Y centroidal axes.
2.

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