A simply supported beam of 8 m has two vertical point loads: 10 kN at 2 m from the left support, 10 kN at 6 m from the left support. Using the graphical method, what is the approximate reaction at the left support ( )?
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A.
12 kN
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B.
8 kN
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C.
15 kN
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D.
10 kN
Correct Answer:
D. 10 kN
Explanation:
The correct answer is 10 kN.
A simply supported beam measuring 8 meters is subject to two symmetrical vertical point loads of 10 kN each, positioned 2 meters from the left and right supports. Because the loading is perfectly symmetrical relative to the center of the beam, the total downward force of 20 kN (10 kN + 10 kN) is distributed equally between the two supports. Therefore, the reaction at the left support is exactly half of the total load, resulting in a value of 10 kN. Using a graphical method such as a funicular polygon or force diagram would confirm that the reaction force at the left support must equal the load nearest to it in this balanced configuration.
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