What would be the reactions if the beam is statically indeterminate?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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 What would be the reactions if the beam is statically indeterminate?

Expert Solution
Step 1

If the number of actual reactions in a member is greater than the number of useful static equilibrium equations then it is termed as statically indeterminate system.

The three static equilibrium equations are :

Mechanical Engineering homework question answer, step 1, image 1

They represent summation of all the forces in horizontal ,vertical directions is zero and  net moment about any point in the system is zero  respectively.

Step 2

Let us consider an example of  continuous beam having point  loads.

Mechanical Engineering homework question answer, step 2, image 1

The beam has two hinge supports at A and B and a roller support at C.W is the external point loads on the beam.

Mechanical Engineering homework question answer, step 2, image 2

 

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