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The maximum bending moment at the left quarter point of a simple beam due to crossing of UDL of length shorter than the span in the direction left to right, would occur after the load had just crossed the section by
  • a)
    One-fourth of its length
  • b)
    Half of its length
  • c)
    Three-fourth of its length
  • d)
    Its full length
Correct answer is option 'C'. Can you explain this answer?
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The maximum bending moment at the left quarter point of a simple beam ...
The load should be positioned such that section divides the span and load in the same ratio.
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The maximum bending moment at the left quarter point of a simple beam ...
The maximum bending moment at a specific point on a beam occurs when the load is located at that point. In this case, we are considering a simple beam that is subjected to a uniformly distributed load (UDL) that crosses the section from left to right.

To determine when the maximum bending moment occurs at the left quarter point of the beam, we need to analyze the load distribution and its effect on the beam's bending moment.

1. Understanding the load distribution:
- The UDL is shorter than the span of the beam, which means it does not cover the entire length of the beam.
- The load is applied in the direction from left to right, implying that it starts from the left end of the beam and gradually moves towards the right end.
- As the load crosses the section, the bending moment at that point changes.

2. Analyzing the bending moment:
- At the left end of the beam, where the load starts, the bending moment is zero since there is no load on the beam yet.
- As the load moves towards the section, the bending moment gradually increases.
- The maximum bending moment occurs when the load is at the section under consideration, i.e., the left quarter point of the beam.

3. Determining the position of the load:
- The load is shorter than the span of the beam, which means it will take less than the full length of the beam to cross the section.
- Since the load is moving in the left to right direction, it will take some time for it to reach the left quarter point of the beam.
- Therefore, the maximum bending moment at the left quarter point would occur after the load had just crossed the section by three-fourth of its length.

Hence, the correct answer is option 'C' - Three-fourth of its length.
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The maximum bending moment at the left quarter point of a simple beam due to crossing of UDL of length shorter than the span in the direction left to right, would occur after the load had just crossed the section bya)One-fourth of its lengthb)Half of its lengthc)Three-fourth of its lengthd)Its full lengthCorrect answer is option 'C'. Can you explain this answer?
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