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A beam 3 meters in length is simply supported at its ends and carries a point load W at its center. If the slope at the ends is not to exceed 1 °(0.01745 radian), the limiting deflection at the center of beam would be
  • a)
    8.75 mm
  • b)
    17.5 mm
  • c)
    26.0 mm.
  • d)
    35.0 mm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A beam 3 meters in length is simply supported at its ends and carries ...

∴ 
= 17.45 mm
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A beam 3 meters in length is simply supported at its ends and carries ...
The maximum slope of a simply supported beam occurs at its center, where the point load is applied. To find the maximum slope, we can use the equation:

θ = WL^2 / (8EI)

where:
θ = slope in radians
W = point load
L = length of the beam
E = modulus of elasticity
I = moment of inertia

Since the beam is simply supported, the ends are free to rotate, and the slope at the ends should not exceed 1. Therefore, we can set the maximum slope to 1 and solve for the maximum allowable point load W.

1 = WL^2 / (8EI)

Simplifying the equation, we have:

W = 8EI / L^2

Given that the length of the beam is 3 meters, we need values for the modulus of elasticity (E) and the moment of inertia (I) to calculate the maximum allowable point load. These values depend on the material and cross-sectional shape of the beam.

Once we have the values for E and I, we can substitute them into the equation to find the maximum point load.
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A beam 3 meters in length is simply supported at its ends and carries a point load W at its center. If the slope at the ends is not to exceed 1 °(0.01745 radian), the limiting deflection at the center of beam would bea)8.75 mmb)17.5 mmc)26.0 mm.d)35.0 mmCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A beam 3 meters in length is simply supported at its ends and carries a point load W at its center. If the slope at the ends is not to exceed 1 °(0.01745 radian), the limiting deflection at the center of beam would bea)8.75 mmb)17.5 mmc)26.0 mm.d)35.0 mmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam 3 meters in length is simply supported at its ends and carries a point load W at its center. If the slope at the ends is not to exceed 1 °(0.01745 radian), the limiting deflection at the center of beam would bea)8.75 mmb)17.5 mmc)26.0 mm.d)35.0 mmCorrect answer is option 'B'. Can you explain this answer?.
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