P Mo = Pa B

Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
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Determine the slope at C and the deflection at B. EI is constant.

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