vec ? kip, kip Submit Part D - Direction of the support reaction force at A

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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vec
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kip, kip
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Part D - Direction of the support reaction force at A
Transcribed Image Text:vec ? kip, kip Submit Part D - Direction of the support reaction force at A
Expert Solution
Step 1

The beam will only give the vertical reaction. There will not be any horizontal reaction from the beam. Let's draw the moment diagram parts. The reaction at support B gives a triangular moment and the moment M remains the constant.

Mechanical Engineering homework question answer, step 1, image 1

Section (1) in the diagram shows the region or area due to the moment in a rectangular form while the triangular area (2) is due to the reaction of support B.

 

Step 2

Now apply the moment area method. Consider the moment about point B. The distance of the centroid is given by L/2 and 2L/3.

The area due to the moment M (rectangle), A1 = ML

The area due to the support reaction (trinagle), A2 = -1/2 L(ByL)

Now apply moment area method,

The boundary condition is that deflection remains zero at end A and end B.

Mechanical Engineering homework question answer, step 2, image 1

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