For a cantilever beam with a uniform distributed load, what is the formula for the maximum shear force at the fixed support?
Practice Questions
1 question
Q1
For a cantilever beam with a uniform distributed load, what is the formula for the maximum shear force at the fixed support?
w * L
0
w * L / 2
w * L^2 / 2
The maximum shear force (V) at the fixed support of a cantilever beam with a uniform distributed load (w) is V = w * L, where L is the length of the beam.
Questions & Step-by-step Solutions
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Q
Q: For a cantilever beam with a uniform distributed load, what is the formula for the maximum shear force at the fixed support?
Solution: The maximum shear force (V) at the fixed support of a cantilever beam with a uniform distributed load (w) is V = w * L, where L is the length of the beam.
Steps: 6
Step 1: Understand what a cantilever beam is. It is a beam that is fixed at one end and free at the other end.
Step 2: Recognize that a uniform distributed load (w) means the load is spread evenly across the length of the beam.
Step 3: Identify the length of the beam, which we will call L.
Step 4: Know that the maximum shear force (V) occurs at the fixed support of the cantilever beam.
Step 5: Use the formula for maximum shear force at the fixed support, which is V = w * L.
Step 6: Substitute the values of w (the load per unit length) and L (the length of the beam) into the formula to find the maximum shear force.
