Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Concept explainers

Slope and Deflection
The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and af…
Question

Determine the slope at C and the deflection at B. EI is constant.

P Mo = Pa B
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Transcribed Image Text:P Mo = Pa B
Expert Solution
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Step 1

Given :

  • The length of the beam is L = 2a
  • The moment acting in the beam is M0 = Pa
  • The load acting on the free end is P
  • The inertia of the beam is I
  • The elastic constant of the beam is E
Step 2

The expression for the slope at C due to point load P can be calculated as,

Mechanical Engineering homework question answer, step 2, image 1

Here, x is any distance in the beam where the slope need to be find.

Substitute, a as x and 2a as L in the above equation,

Mechanical Engineering homework question answer, step 2, image 2

Step 3

The expression for the slope at C due to moment can be calculated as,

Mechanical Engineering homework question answer, step 3, image 1

Substitute the known values in above equation,

Mechanical Engineering homework question answer, step 3, image 2

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