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A uniformly distributed load whose length is shorter than the span, crosses a simply supported beam from left to right. The maximum bending moment at a section occurs when
  • a)
    the load remains only on the left of the section
  • b)
    the load is only on the right of the section
  • c)
    the section divides the load in the same ratio as it divides the span
  • d)
    half of the load remains to the left of the section and other half on the right of section
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A uniformly distributed load whose length is shorter than the span, cr...
Explanation:

When a uniformly distributed load crosses a simply supported beam from left to right, the maximum bending moment at a section occurs when the section divides the load in the same ratio as it divides the span. Let's understand this concept in detail.

Uniformly Distributed Load:

A uniformly distributed load is a load that is spread evenly over a given length or area. In the case of a simply supported beam, a uniformly distributed load is a load that is distributed evenly over the entire length of the beam.

Maximum Bending Moment:

Bending moment is the moment that is developed in a beam due to the external loads applied to it. The maximum bending moment in a simply supported beam occurs at the mid-span of the beam.

Section Divides the Load:

When a section is taken in a simply supported beam, it divides the load into two parts: the load on the left side of the section and the load on the right side of the section. The ratio of these two loads is determined by the distance of the section from the left support and the distance of the section from the right support.

When the section is at the mid-span of the beam, the load on the left side of the section is equal to the load on the right side of the section. Therefore, the section divides the load in the same ratio as it divides the span.

The maximum bending moment in a simply supported beam occurs when the load on one side of the section is greater than the load on the other side of the section. This is because the bending moment is directly proportional to the load and the distance from the load to the section.

Conclusion:

In conclusion, the maximum bending moment at a section in a simply supported beam occurs when the section divides the load in the same ratio as it divides the span. Therefore, option 'C' is the correct answer.
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A uniformly distributed load whose length is shorter than the span, crosses a simply supported beam from left to right. The maximum bending moment at a section occurs whena)the load remains only on the left of the sectionb)the load is only on the right of the sectionc)the section divides the load in the same ratio as it divides the spand)half of the load remains to the left of the section and other half on the right of sectionCorrect answer is option 'C'. Can you explain this answer?
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A uniformly distributed load whose length is shorter than the span, crosses a simply supported beam from left to right. The maximum bending moment at a section occurs whena)the load remains only on the left of the sectionb)the load is only on the right of the sectionc)the section divides the load in the same ratio as it divides the spand)half of the load remains to the left of the section and other half on the right of sectionCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A uniformly distributed load whose length is shorter than the span, crosses a simply supported beam from left to right. The maximum bending moment at a section occurs whena)the load remains only on the left of the sectionb)the load is only on the right of the sectionc)the section divides the load in the same ratio as it divides the spand)half of the load remains to the left of the section and other half on the right of sectionCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniformly distributed load whose length is shorter than the span, crosses a simply supported beam from left to right. The maximum bending moment at a section occurs whena)the load remains only on the left of the sectionb)the load is only on the right of the sectionc)the section divides the load in the same ratio as it divides the spand)half of the load remains to the left of the section and other half on the right of sectionCorrect answer is option 'C'. Can you explain this answer?.
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