Example:Determine the location of the centroid ('c') of the beam's crosssection and the moment of inertia about the centroidal x-axis.AYPart Dimensions Area y4x14x11x823TotalPart123AreayA4 2 84 28816 in'Total 16 in05 420 indy(A)2-1.25 2.254 1-(4)/124 1:(4)/122-1.25 2.258 8(11/12 1.25-0.5 4.50= 1.25 in16x = lei +d³y(A)5.33+2.25= 7.585.33 +225=7,580.666+4.50 5.1620.32 in1 Typ

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Answered: Example: Determine the location of the…

Example: Determine the location of the centroid ('c') of the beam's cross section and the moment of inertia about the centroidal x-axis.

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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Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

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Example:
Determine the location of the centroid ('c') of the beam's cross
section and the moment of inertia about the centroidal x-axis.
AY
Part Dimensions Area y
4x1
4x1
1x8
2
3
Total
Part
1
2
3
Area
yA
4 2 8
4 28
8
16 in'
Total 16 in
05 4
20 in
dy
(A)
2-1.25 2.25
4 1-(4)/12
4 1:(4)/12
2-1.25 2.25
8 8(11/12 1.25-0.5 4.50
= 1.25 in
16
x = lei +d³y(A)
5.33+2.25= 7.58
5.33 +225=7,58
0.666+4.50 5.16
20.32 in
1 Typ

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