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For a simply supported beam with a length L and a uniform load w, what is the re
For a simply supported beam with a length L and a uniform load w, what is the reaction force at each support?
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For a simply supported beam with a length L and a uniform load w, what is the reaction force at each support?
wL/2
wL/4
wL
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The reaction force at each support for a simply supported beam with a uniform load (w) is R = wL/2.
Questions & Step-by-step Solutions
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Q
Q: For a simply supported beam with a length L and a uniform load w, what is the reaction force at each support?
Solution:
The reaction force at each support for a simply supported beam with a uniform load (w) is R = wL/2.
Steps: 6
Show Steps
Step 1: Understand that a simply supported beam has two supports, one at each end.
Step 2: Recognize that a uniform load (w) means the weight is evenly distributed along the length (L) of the beam.
Step 3: Calculate the total load on the beam by multiplying the uniform load (w) by the length (L): Total Load = w * L.
Step 4: Since the beam is simply supported, the total load is shared equally between the two supports.
Step 5: To find the reaction force at each support, divide the total load by 2: Reaction Force (R) = Total Load / 2 = (w * L) / 2.
Step 6: Therefore, the reaction force at each support is R = wL/2.
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