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What is the shear force at the supports of a simply supported beam with a unifor
What is the shear force at the supports of a simply supported beam with a uniform load?
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Practice Questions
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Q1
What is the shear force at the supports of a simply supported beam with a uniform load?
wL/2
wL
0
wL/4
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The shear force at the supports of a simply supported beam with a uniform load w is V = wL/2.
Questions & Step-by-step Solutions
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Q
Q: What is the shear force at the supports of a simply supported beam with a uniform load?
Solution:
The shear force at the supports of a simply supported beam with a uniform load w is V = wL/2.
Steps: 5
Show Steps
Step 1: Understand that a simply supported beam is supported at both ends and can freely rotate.
Step 2: Recognize that a uniform load (w) means the load is evenly distributed along the length (L) of the beam.
Step 3: Know that the total load on the beam is the uniform load (w) multiplied by the length of the beam (L), which gives you the total load = w * L.
Step 4: Realize that this total load is shared equally between the two supports since the beam is simply supported.
Step 5: Calculate the shear force at each support by dividing the total load by 2, which gives you V = (w * L) / 2.
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