A T-shaped bracket supports the four loads shown. Determine the reactions at A and B (a) if a = 10 in., (b) if a = 7 in.
Fig. P4.99
Draw the free-body diagram for the bracket.
Here, the unknowns vertical reactions acting at the points A and B are represented by and respectively.
(a)
Apply moment equilibrium condition about the point A.
…… (1)
Here, the distance between the points B and D is represented by a.
Substitute 10 in for a
Therefore, the reaction at the point B is .
Apply force equilibrium condition along vertical direction
Therefore, the reaction at the point A is .
Consider equation (1).
Substitute 7 in. for a
Therefore, the reaction at point B is
Apply force equilibrium condition along vertical direction
Therefore, the reaction at the point A is .
A T-shaped bracket supports the four loads shown. Determine the reactions at A and B (a) if a=...
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Determine the reactions at the supports for the structure shown.
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