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Other parameters being unchanged, if the span of a cantilever carrying end point load is doubled, the maximum slope is increased by
- a)2 times
- b)4 times
- c)8 times
- d)16 times
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Other parameters being unchanged, if the span of a cantilever carryin...
(i) 
θmax |1 = 
(ii) 
θmax |2 = 
θmax |2 = 4 × θmax|1
Most Upvoted Answer
Other parameters being unchanged, if the span of a cantilever carryin...
Explanation:
- A cantilever beam is a type of beam that is fixed at one end and free at the other end.
- When an end point load is applied to a cantilever beam, the beam experiences a bending moment that causes it to deform.
- The maximum slope of the beam occurs at the free end, where the deformation is the greatest.
- The maximum slope is given by the equation: max slope = WL^2 / 2EI, where W is the end point load, L is the span of the beam, E is the modulus of elasticity, and I is the second moment of area of the beam.
- If the span of the beam is doubled, then L in the equation is replaced by 2L, which results in an increase in the maximum slope.
- To calculate the increase in the maximum slope, we can substitute 2L for L in the equation and simplify: max slope (new) = W(2L)^2 / 2EI = 4(WL^2 / 2EI) = 4(max slope).
- Therefore, the maximum slope is increased by 4 times when the span of a cantilever carrying end point load is doubled.
Answer: b) 4 times
- A cantilever beam is a type of beam that is fixed at one end and free at the other end.
- When an end point load is applied to a cantilever beam, the beam experiences a bending moment that causes it to deform.
- The maximum slope of the beam occurs at the free end, where the deformation is the greatest.
- The maximum slope is given by the equation: max slope = WL^2 / 2EI, where W is the end point load, L is the span of the beam, E is the modulus of elasticity, and I is the second moment of area of the beam.
- If the span of the beam is doubled, then L in the equation is replaced by 2L, which results in an increase in the maximum slope.
- To calculate the increase in the maximum slope, we can substitute 2L for L in the equation and simplify: max slope (new) = W(2L)^2 / 2EI = 4(WL^2 / 2EI) = 4(max slope).
- Therefore, the maximum slope is increased by 4 times when the span of a cantilever carrying end point load is doubled.
Answer: b) 4 times
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Other parameters being unchanged, if the span of a cantilever carrying end point load is doubled, the maximum slope is increased bya) 2 timesb) 4 timesc) 8 timesd) 16 timesCorrect answer is option 'B'. Can you explain this answer?
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