If a weight is distributed evenly on a beam, how much more load can it carry compared to a single, concentrated load?

If a weight is distributed evenly on a beam, how much more load can it carry compared to a single, concentrated load?

• A. Twice as much
• B. The same amount
• C. Half as much
• D. Three times as much

Answer: (A)

Understanding how load distribution affects bending moments explains why a distributed load allows more total weight than a single concentrated load. For a simply supported beam, the maximum bending moment under a uniform load across the span is smaller than the maximum moment under a central point load with the same total weight. If you take the same total load, the uniform load produces about half the peak moment of the central point load. So to reach the same allowable moment, you can apply roughly twice as much total load when the load is spread evenly. That’s why the beam can carry about twice as much load with a uniform distribution as with a single concentrated load, assuming the same span, material, and support conditions.

Understanding how load distribution affects bending moments explains why a distributed load allows more total weight than a single concentrated load. For a simply supported beam, the maximum bending moment under a uniform load across the span is smaller than the maximum moment under a central point load with the same total weight. If you take the same total load, the uniform load produces about half the peak moment of the central point load. So to reach the same allowable moment, you can apply roughly twice as much total load when the load is spread evenly. That’s why the beam can carry about twice as much load with a uniform distribution as with a single concentrated load, assuming the same span, material, and support conditions.