What is the maximum bending moment in a simply supported beam with a point load at its center?
Practice Questions
1 question
Q1
What is the maximum bending moment in a simply supported beam with a point load at its center?
WL/4
WL/2
WL
0
The maximum bending moment (M) for a simply supported beam with a point load (W) at the center is given by M = WL/4, where L is the length of the beam.
Questions & Step-by-step Solutions
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Q
Q: What is the maximum bending moment in a simply supported beam with a point load at its center?
Solution: The maximum bending moment (M) for a simply supported beam with a point load (W) at the center is given by M = WL/4, where L is the length of the beam.
Steps: 5
Step 1: Understand the setup. You have a beam that is supported at both ends (this is called a simply supported beam).
Step 2: Identify the point load. This is a force (W) applied at the center of the beam.
Step 3: Know the length of the beam. Let's call this length L.
Step 4: Recall the formula for maximum bending moment. For a simply supported beam with a point load at the center, the formula is M = WL/4.
Step 5: Plug in the values. If you know the load (W) and the length (L) of the beam, you can calculate the maximum bending moment by multiplying W by L and then dividing by 4.
