
Concept explainers
through 13.6 Calculate the reactions at points A and BFor the beams shown.
a.

The reaction forces at points A and B
Answer to Problem 13.1P
Explanation of Solution
Given:
The beam diagram and loading are given as shown below:
Concept Used:
Replacing the uniformly distribute load by a concentrated external load
Calculation:
Taking anticlockwise moment positive, the summation of all moment of forces at point A equals to zero
For vertical equilibrium, the summation of forces in vertical direction must be zero
Conclusion:
Therefore, the reaction force at points A,
b.

The reaction forces at points A and B
Answer to Problem 13.1P
Explanation of Solution
Given:
The beam diagram and loading are given as shown below
Concept Used:
The reaction forces at point A and B are shown below in the figure and assumed to act in the upward (positive) direction
Calculation:
Taking anticlockwise moment positive, the summation of all moment of forces at point A equals to zero
For vertical equilibrium, the summation of forces in vertical direction must be zero
Conclusion:
Therefore, the forces are
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