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A cantilever of length 2.5 m is subjected to a couple of Mo at the free end. The longitudinal (normal) strain at the top surface is 0.0015 and the distance of the top surface of the cantilever from the neutral layer is 100 mm. The radius of the neutral layer is ___ meter.
- a)66.6
- b)66.66
Correct answer is between '66.6,66.66'. Can you explain this answer?
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A cantilever of length 2.5 m is subjected to a couple of Mo at the fr...
Constant bending moment = M0
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R = 66.66m
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A cantilever of length 2.5 m is subjected to a couple of Mo at the fr...
The given problem involves a cantilever subjected to a couple and we need to find the radius of the neutral layer.
Given data:
- Length of the cantilever (L): 2.5 m
- Applied couple (Mo): Given
- Longitudinal strain at the top surface (ε): 0.0015
- Distance of top surface from the neutral layer (d): 100 mm (or 0.1 m)
Approach:
To find the radius of the neutral layer, we can use the formula for the normal strain in a beam:
ε = (y / R)
Where:
- ε is the normal strain
- y is the distance from the neutral layer to the point of interest
- R is the radius of the neutral layer
We can rearrange the equation to solve for R:
R = y / ε
Calculation:
Given that the longitudinal strain at the top surface (ε) is 0.0015 and the distance of the top surface from the neutral layer (d) is 0.1 m, we can calculate the radius of the neutral layer (R) as follows:
R = d / ε
= 0.1 / 0.0015
= 66.666...
Rounding off to two decimal places, we get:
R ≈ 66.67 m
Answer:
The radius of the neutral layer is approximately 66.67 m.
Note: Since the question asks for the answer between 66.6 and 66.66, the correct answer would be 66.66 m.
Given data:
- Length of the cantilever (L): 2.5 m
- Applied couple (Mo): Given
- Longitudinal strain at the top surface (ε): 0.0015
- Distance of top surface from the neutral layer (d): 100 mm (or 0.1 m)
Approach:
To find the radius of the neutral layer, we can use the formula for the normal strain in a beam:
ε = (y / R)
Where:
- ε is the normal strain
- y is the distance from the neutral layer to the point of interest
- R is the radius of the neutral layer
We can rearrange the equation to solve for R:
R = y / ε
Calculation:
Given that the longitudinal strain at the top surface (ε) is 0.0015 and the distance of the top surface from the neutral layer (d) is 0.1 m, we can calculate the radius of the neutral layer (R) as follows:
R = d / ε
= 0.1 / 0.0015
= 66.666...
Rounding off to two decimal places, we get:
R ≈ 66.67 m
Answer:
The radius of the neutral layer is approximately 66.67 m.
Note: Since the question asks for the answer between 66.6 and 66.66, the correct answer would be 66.66 m.
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A cantilever of length 2.5 m is subjected to a couple of Mo at the free end. The longitudinal (normal) strain at the top surface is 0.0015 and the distance of the top surface of the cantilever from the neutral layer is 100 mm. The radius of the neutral layer is ___ meter.a)66.6b)66.66Correct answer is between '66.6,66.66'. Can you explain this answer?
Question Description
A cantilever of length 2.5 m is subjected to a couple of Mo at the free end. The longitudinal (normal) strain at the top surface is 0.0015 and the distance of the top surface of the cantilever from the neutral layer is 100 mm. The radius of the neutral layer is ___ meter.a)66.6b)66.66Correct answer is between '66.6,66.66'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A cantilever of length 2.5 m is subjected to a couple of Mo at the free end. The longitudinal (normal) strain at the top surface is 0.0015 and the distance of the top surface of the cantilever from the neutral layer is 100 mm. The radius of the neutral layer is ___ meter.a)66.6b)66.66Correct answer is between '66.6,66.66'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cantilever of length 2.5 m is subjected to a couple of Mo at the free end. The longitudinal (normal) strain at the top surface is 0.0015 and the distance of the top surface of the cantilever from the neutral layer is 100 mm. The radius of the neutral layer is ___ meter.a)66.6b)66.66Correct answer is between '66.6,66.66'. Can you explain this answer?.
A cantilever of length 2.5 m is subjected to a couple of Mo at the free end. The longitudinal (normal) strain at the top surface is 0.0015 and the distance of the top surface of the cantilever from the neutral layer is 100 mm. The radius of the neutral layer is ___ meter.a)66.6b)66.66Correct answer is between '66.6,66.66'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A cantilever of length 2.5 m is subjected to a couple of Mo at the free end. The longitudinal (normal) strain at the top surface is 0.0015 and the distance of the top surface of the cantilever from the neutral layer is 100 mm. The radius of the neutral layer is ___ meter.a)66.6b)66.66Correct answer is between '66.6,66.66'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cantilever of length 2.5 m is subjected to a couple of Mo at the free end. The longitudinal (normal) strain at the top surface is 0.0015 and the distance of the top surface of the cantilever from the neutral layer is 100 mm. The radius of the neutral layer is ___ meter.a)66.6b)66.66Correct answer is between '66.6,66.66'. Can you explain this answer?.
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