Answered: Determine the smallest moment of…

Determine the smallest moment of inertia I required for the beam shown, so that its maximum deflec- tion does not exceed the limit of 1/360 of the span length (i.e., Amax

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

Determine the smallest moment of inertia
I required for the beam shown, so that its maximum deflec-
tion does not exceed the limit of 1/360 of the span length
(i.e., Amax < L/360). Use the method of virtual work.
50 kN
100 kN
400
C
kN . mA
В
6 m
6 m
-L = 12 m
El = constant
E = 200 GPa
%3D

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