Using the parallel axis theorem, determine the moment of inertia about the axis for the sameshapeExpress your answer in int.Comp.1=E|||IXKIy=HIN12Area, A(in²)6x6 = 36(6 x 3)(6 × 9)Σ Ax₁ΣΑ= 9ΣΑ = 72Σ AyiΣΑ==27-727233372==Centroidaldistance fromy-axis, x₁(in)-626310363=-22-1.0 in.34.625 in.Centroidaldistance fromx-axis, y(in)62=336+=732 (9)3=6Ax₁(in³)-108-1854Σ Ax; = -72Ay₁(in³)10863162Σ Ay; = 333

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Answered: 3 Using the parallel axis theorem,…

3 Using the parallel axis theorem, determine the moment of inertia about the xxis for the same shape Express your answer in int.

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

Using the parallel axis theorem, determine the moment of inertia about the axis for the same
shape
Express your answer in int.
Comp.
1
=
E
|||
IX
KI
y
=
HIN
1
2
Area, A
(in²)
6x6 = 36
(6 x 3)
(6 × 9)
Σ Ax₁
ΣΑ
= 9
ΣΑ = 72
Σ Ayi
ΣΑ
=
=
27
-72
72
333
72
=
=
Centroidal
distance from
y-axis, x₁
(in)
-
6
2
6
3
103
6
3
=-2
2
-1.0 in.
3
4.625 in.
Centroidal
distance from
x-axis, y
(in)
6
2
=
3
3
6+=7
3
2 (9)
3
=
6
Ax₁
(in³)
-108
-18
54
Σ Ax; = -72
Ay₁
(in³)
108
63
162
Σ Ay; = 333

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