moment of inertia about the indicated 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
icon
Related questions
Question

Find the moment of inertia about the indicated x and y axes for the shaded area shown.

(KINDLY FOLLOW THE FORMAT OF SOLUTION PROVIDED)

Y.
I
15 cm
10 cm
·X
Transcribed Image Text:Y. I 15 cm 10 cm ·X
3. Find the moment of inertia about the indicated
Y axis for the shaded area shown.
Solutions:
The area can be divided into three geometric shapes
(triangle, square and a quarter circle). The quarter
circle has a negative area since it is not part of the
shaded area.
Parts
Area, in²
Triangle
1
(6)(4) = 12
I, in
(4)(6)³ = 24
36
Square
1
17 (4)(4)³ = 21.33
-0.055(4)*=-14.08
Quarter circle
31.25
1, = ΣΙ, + ΣΑd2
ly
Σ
(4) (4) = 16
TL
= 31.25 +349.22
= 380.47 in*
= -12.57
d, in
4
8
10-(0.424) (4)=
8.304
Ad², in
192
1024
-866.78
349.22
Transcribed Image Text:3. Find the moment of inertia about the indicated Y axis for the shaded area shown. Solutions: The area can be divided into three geometric shapes (triangle, square and a quarter circle). The quarter circle has a negative area since it is not part of the shaded area. Parts Area, in² Triangle 1 (6)(4) = 12 I, in (4)(6)³ = 24 36 Square 1 17 (4)(4)³ = 21.33 -0.055(4)*=-14.08 Quarter circle 31.25 1, = ΣΙ, + ΣΑd2 ly Σ (4) (4) = 16 TL = 31.25 +349.22 = 380.47 in* = -12.57 d, in 4 8 10-(0.424) (4)= 8.304 Ad², in 192 1024 -866.78 349.22
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Moments
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning