A T-shaped bracket supports the four loads shown. Determine the reactions at A and B (a) if
(a)
The reaction at A and B for the T shaped bracket.
Answer to Problem 99RP
The reaction at A is
Explanation of Solution
Given:
The value of
Concept used:
Write the expression for net force in
Write the expression for reaction at B in
Here,
Write the expression for moment about A.
Write the expression for moment about B.
Calculation:
The moment about A is zero due to bracket is in equilibrium condition.
Substitute
The expression for the resultant at B is,
The moment about B is zero due to bracket is in equilibrium condition.
Substitute
The expression for the resultant at A is,
Substitute
Substitute
Conclusion:
Thus, the reaction at A is
(b)
The reaction at A and B for the T shaped bracket.
Answer to Problem 99RP
The reaction at A is
Explanation of Solution
Given:
The value of
Calculation:
Substitute
Substitute
Conclusion:
Thus, the reaction at A is
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Chapter 4 Solutions
Statics and Mechanics of Materials
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