Calculate the centroidal moment of inertia and radii of gyration about the centroidal 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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MOMENT OF INERTIA

- GET THE GIVEN, WHAT IS ASKED, AND THE ANSWER.

- MAKE A PROPER FREE BODY DIAGRAM. (IT DOES HAVE THE GREATER POINTS IN THIS ACTIVITY)

- YOUR SUB ANSWERS MUST BE IN 6 DECIMAL PLACES.

- YOUR FINAL ANSWER MUST BE IN 4 DECIMAL PLACES.

- WRITE YOUR SOLUTION PROPERLY (EASY TO UNDERSTAND).

- I PROVIDED A SAMPLE PROBLEM SO THAT YOU WILL KNOW HOW TO SOLVE IT.

THANK YOU IN ADVANCE! 

Calculate the centroidal moment of inertia and radii of gyration about the centroidal X and Y Axes.
10"
R2"
R4"
R16"
7"
6"
6"
4"
4"
Transcribed Image Text:Calculate the centroidal moment of inertia and radii of gyration about the centroidal X and Y Axes. 10" R2" R4" R16" 7" 6" 6" 4" 4"
Second Moment of an Area
100
Sample Problem 10
Given:
Required: Ig, ly, Tz, Ty
Solution:
-500
100
-100
A (mX(mo)(650) + (500X100) (25) + (w)(
sdo
- 385 2991 mm
1
4. Second Moment of an Area
100
Sample Problem 10
Consider 14
12
500
100
100
I;: 394166664mm"
4. Second Moment of an Area
1
2
100
Sample Problem 10
Consider 15
s00
100
(no) (00)* + (00)(io) ( - co)
100
A : (w)(1 + (0)(10)
* V72
A. 170 000mm
2
4. Second Moment of an Area
100
Sample Problem 10
Lonsider ry ond ry
1730 XIU
300
100
ססס סך1
100
262 6774mml
14
394170
170000
r: 152 2704mm
Transcribed Image Text:Second Moment of an Area 100 Sample Problem 10 Given: Required: Ig, ly, Tz, Ty Solution: -500 100 -100 A (mX(mo)(650) + (500X100) (25) + (w)( sdo - 385 2991 mm 1 4. Second Moment of an Area 100 Sample Problem 10 Consider 14 12 500 100 100 I;: 394166664mm" 4. Second Moment of an Area 1 2 100 Sample Problem 10 Consider 15 s00 100 (no) (00)* + (00)(io) ( - co) 100 A : (w)(1 + (0)(10) * V72 A. 170 000mm 2 4. Second Moment of an Area 100 Sample Problem 10 Lonsider ry ond ry 1730 XIU 300 100 ססס סך1 100 262 6774mml 14 394170 170000 r: 152 2704mm
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