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A simply supported beam AB is attached to a cantilever beam BC using a hinge at B. Construct FBD's and solve for the support reactions at A and C and the internal forces developed at the hinge at B. A...

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A simply supported beam AB is attached to a cantilever beam BC using a hinge at B. Construct FBD's and solve for the support reactions at A and C and the internal forces developed at the hinge at B. A total of four unknown support reactions in the FBD, but the three equations of equilibrium are insufficient to solve for all of the unknowns. It is possible to separate the compound beam into two additional FBD's and write additional equations of equilibrium.
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Answered Same Day Dec 22, 2021

Solution

David answered on Dec 22 2021
137 Votes
The FBDs are following:
Now, the analysis part is following:
So,
Reaction at A = 205.7 lb (upward)
Reaction at C = 774.3 lb (upward) ,360 lb (towards left) and a moment of 5840 lb-ft (clockwise)
Internal force at B = 360 lb (horizontal) and 274.3 lb(vertical)
SOLUTION.PDF
SOLUTION.PDF

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