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The maximum deflection of a cantilever of 10.0 m span, an EI = 200.0MN/m2 subjected to a distributed load of 8.0 kN/m is
- a)20 mm
- b)50 mm
- c)225 mm
- d)500 mm
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The maximum deflection of a cantilever of 10.0 m span, an EI = 200.0M...
= 0.05m = 50mm
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The maximum deflection of a cantilever of 10.0 m span, an EI = 200.0M...
Maximum Deflection of Cantilever Beam
Given parameters:
- Span (L) = 10.0 m
- EI = 200.0 MN/m2
- Distributed load (w) = 8.0 kN/m
To determine the maximum deflection of the cantilever beam, we need to follow the steps below:
1. Calculate the reaction force (R) at the fixed end of the beam using the formula:
R = wL
Substituting the given values, we get:
R = 8.0 kN/m x 10.0 m = 80.0 kN
2. Determine the maximum deflection (δmax) using the formula:
δmax = (5wL^4)/(384EI)
Substituting the given values and the calculated reaction force, we get:
δmax = (5 x 8.0 kN/m x (10.0 m)^4)/(384 x 200.0 MN/m2 x 80.0 kN)
δmax = 0.050 m or 50 mm (approximately)
Therefore, the correct answer is option B, which is 50 mm.
Given parameters:
- Span (L) = 10.0 m
- EI = 200.0 MN/m2
- Distributed load (w) = 8.0 kN/m
To determine the maximum deflection of the cantilever beam, we need to follow the steps below:
1. Calculate the reaction force (R) at the fixed end of the beam using the formula:
R = wL
Substituting the given values, we get:
R = 8.0 kN/m x 10.0 m = 80.0 kN
2. Determine the maximum deflection (δmax) using the formula:
δmax = (5wL^4)/(384EI)
Substituting the given values and the calculated reaction force, we get:
δmax = (5 x 8.0 kN/m x (10.0 m)^4)/(384 x 200.0 MN/m2 x 80.0 kN)
δmax = 0.050 m or 50 mm (approximately)
Therefore, the correct answer is option B, which is 50 mm.
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The maximum deflection of a cantilever of 10.0 m span, an EI = 200.0MN/m2 subjected to a distributed load of 8.0 kN/m isa) 20 mmb) 50 mmc) 225 mmd) 500 mmCorrect answer is option 'B'. Can you explain this answer?
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