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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Concept explainers

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.

Question

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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