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The value of the ordinates, at the quarter span of the influence line diagram for the midspan bending moment of a simply supported beam, is 0.5 m. If the span of the beam is doubled, what will be the ordinates at the midspan of the influence line?
  • a)
    2.0 m
  • b)
    1.0 m
  • c)
    0.5 m
  • d)
    None of the above.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The value of the ordinates, at the quarter span of the influence line ...
The influence line diagram for the midspan bending moment of a simply supported beam represents the variation of the bending moment at the midspan due to a unit load moving along the length of the beam. The ordinates on the influence line diagram represent the values of the bending moment at different positions along the beam.

Given that the value of the ordinates at the quarter span of the influence line diagram is 0.5 m, we can determine the ordinates at the midspan when the span of the beam is doubled.

Let's break down the problem into steps:

Step 1: Determine the original span of the beam
The original span of the beam is not given in the question. Let's assume it to be L.

Step 2: Determine the original midspan bending moment
The original midspan bending moment can be determined by multiplying the value of the ordinates at the quarter span by 2 since the influence line diagram is symmetrical. Therefore, the original midspan bending moment is 2 * 0.5 m = 1.0 m.

Step 3: Determine the new span of the beam
Since the span of the beam is doubled, the new span will be 2L.

Step 4: Determine the new ordinates at the midspan
The new ordinates at the midspan can be determined by multiplying the original midspan bending moment by the ratio of the new span to the original span. Therefore, the new ordinates at the midspan will be 1.0 m * (2L / L) = 2.0 m.

Therefore, the correct answer is option A) 2.0 m.
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The value of the ordinates, at the quarter span of the influence line ...
Option is A. 2.0 m
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The value of the ordinates, at the quarter span of the influence line diagram for the midspan bending moment of a simply supported beam, is 0.5 m. If the span of the beam is doubled, what will be the ordinates at the midspan of the influence line?a)2.0 mb)1.0 mc)0.5 md)None of the above.Correct answer is option 'A'. Can you explain this answer?
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