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A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.
- a)Fail in deflection only
- b)Fail in lateral stability only
- c)Fail in both deflection and lateral stability
- d)Satisfy the requirements of deflection and lateral stability
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A reinforced cantilever beam of span 4 m has a cross section of 150x50...
Check for deflection,
For catilever beam permissible value is 7, so the beam is not safe in deflection.
Check for lateral stability,
l≯25b=25×150=3750mm=3.75m
For lateral stability length ≯ 3.75 m
So the beam is not laterally stable.
Option 3 is correct.
Most Upvoted Answer
A reinforced cantilever beam of span 4 m has a cross section of 150x50...
Explanation:
The lateral stability and deflection of a reinforced cantilever beam are checked to ensure its strength and stability. Here, the given reinforced cantilever beam has a span of 4 m and a cross-section of 150x500 mm.
Deflection:
Deflection is the measurement of the deformation of a beam under a load. If the deflection of a beam exceeds the allowable limit, it can cause structural failure. The deflection of a reinforced cantilever beam is calculated using the formula:
δ = 5wL^4 / 384EI
Where,
δ = deflection
w = load per unit length
L = span of the beam
E = modulus of elasticity of the material
I = moment of inertia of the beam section
From the given data, we can calculate the value of δ and compare it with the allowable limit. If the calculated value of δ exceeds the allowable limit, the beam will fail in deflection.
Lateral Stability:
Lateral stability is the measurement of the ability of a beam to resist buckling under an axial load. If a beam fails in lateral stability, it can cause structural failure. The lateral stability of a reinforced cantilever beam is calculated using the formula:
Pcr = π^2EI / (KL)^2
Where,
Pcr = critical buckling load
E = modulus of elasticity of the material
I = moment of inertia of the beam section
K = effective length factor
L = span of the beam
From the given data, we can calculate the value of Pcr and compare it with the applied load. If the applied load exceeds the critical buckling load, the beam will fail in lateral stability.
Conclusion:
From the above calculations, we can conclude that the given reinforced cantilever beam will fail in both deflection and lateral stability.
The lateral stability and deflection of a reinforced cantilever beam are checked to ensure its strength and stability. Here, the given reinforced cantilever beam has a span of 4 m and a cross-section of 150x500 mm.
Deflection:
Deflection is the measurement of the deformation of a beam under a load. If the deflection of a beam exceeds the allowable limit, it can cause structural failure. The deflection of a reinforced cantilever beam is calculated using the formula:
δ = 5wL^4 / 384EI
Where,
δ = deflection
w = load per unit length
L = span of the beam
E = modulus of elasticity of the material
I = moment of inertia of the beam section
From the given data, we can calculate the value of δ and compare it with the allowable limit. If the calculated value of δ exceeds the allowable limit, the beam will fail in deflection.
Lateral Stability:
Lateral stability is the measurement of the ability of a beam to resist buckling under an axial load. If a beam fails in lateral stability, it can cause structural failure. The lateral stability of a reinforced cantilever beam is calculated using the formula:
Pcr = π^2EI / (KL)^2
Where,
Pcr = critical buckling load
E = modulus of elasticity of the material
I = moment of inertia of the beam section
K = effective length factor
L = span of the beam
From the given data, we can calculate the value of Pcr and compare it with the applied load. If the applied load exceeds the critical buckling load, the beam will fail in lateral stability.
Conclusion:
From the above calculations, we can conclude that the given reinforced cantilever beam will fail in both deflection and lateral stability.
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A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer?
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A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer?.
A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer?.
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A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A reinforced cantilever beam of span 4 m has a cross section of 150x500 mm. If checked for lateral stability and deflection, the beam will ________.a)Fail in deflection onlyb)Fail in lateral stability onlyc)Fail in both deflection and lateral stabilityd)Satisfy the requirements of deflection and lateral stabilityCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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