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A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 is
IES-1995; GATE-1994]
- a)2: 1
- b)√2 : 1
- c)1: 1
- d)1: 2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A simply supported beam carrying a concentrated load W at mid -span de...
The deflection of a simply supported beam carrying a concentrated load W at mid-span can be calculated using the following formula:
δ = (W * L^3) / (48 * E * I)
where δ is the deflection, W is the load, L is the span length, E is the modulus of elasticity, and I is the moment of inertia of the beam.
Assuming a rectangular beam with width b, height h, and span length L, the moment of inertia can be calculated as:
I = (b * h^3) / 12
Substituting this in the deflection formula, we get:
δ = (W * L^3) / (48 * E * (b * h^3 / 12))
Simplifying this equation, we get:
δ = (W * L^3) / (48 * E * b * h^3)
Therefore, the deflection of a simply supported beam carrying a concentrated load W at mid-span depends on the load, span length, modulus of elasticity, width, and height of the beam.
δ = (W * L^3) / (48 * E * I)
where δ is the deflection, W is the load, L is the span length, E is the modulus of elasticity, and I is the moment of inertia of the beam.
Assuming a rectangular beam with width b, height h, and span length L, the moment of inertia can be calculated as:
I = (b * h^3) / 12
Substituting this in the deflection formula, we get:
δ = (W * L^3) / (48 * E * (b * h^3 / 12))
Simplifying this equation, we get:
δ = (W * L^3) / (48 * E * b * h^3)
Therefore, the deflection of a simply supported beam carrying a concentrated load W at mid-span depends on the load, span length, modulus of elasticity, width, and height of the beam.
Community Answer
A simply supported beam carrying a concentrated load W at mid -span de...
The ratio of their deflectin is 8/5 so it is equal to 1.6 then root two equal to 1.41:1
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A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer?
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A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer?.
A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer?.
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A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A simply supported beam carrying a concentrated load W at mid -span deflects by δ1 under the load. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection δ2 at the mid span. The ratio δ1: δ2 isIES-1995; GATE-1994]a)2: 1b)√2 : 1c)1: 1d)1: 2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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