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A plate clutch consists of two pairs of contacting surfaces with asbestos friction lining and has the following parameters:
Outer diameter of friction lining = 300 mm
Inner diameter of friction lining = 150 mm
Coefficient of friction = 0.45 .
Maximum engine torque = 220 Nm
The clamping force is provided by 8 springs, each give a force of 600 N. The factor of safety with respect to slippage after initial wear has occurred is
- a)1.10
- b)2.21
- c)3.62
- d)1.93
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A plate clutch consists of two pairs of contacting surfaces with asbe...
Given:D = 300 mm,d = 150 mm,μ = 0.45,
Mt = 220 Nm
Since there are two pairs of contacting surface, the torque transmitted by one pair should be
And, Actuating force, F = 600 x 8 = 4800 N
From uniform wear theory
= 243000 N-m
∴ Factor of safety is given by,
Most Upvoted Answer
A plate clutch consists of two pairs of contacting surfaces with asbe...
Given parameters:
- Outer diameter of friction lining = 300 mm
- Inner diameter of friction lining = 150 mm
- Coefficient of friction = 0.45
- Maximum engine torque = 220 Nm
- Clamping force provided by 8 springs, each give a force of 600 N
To find: Factor of safety with respect to slippage after initial wear has occurred
Calculation:
- Area of contact (A) = π/4 × (D^2 - d^2)
= π/4 × (300^2 - 150^2)
= 47,123 mm^2
- Maximum tangential force (T) = maximum engine torque / (D/2)
= 220 / (300/2)
= 1.47 kN
- Pressure (p) = T / A
= 1.47 / 47,123
= 0.031 MPa
- Clamping force (F) = 8 × 600
= 4.8 kN
- Frictional force (f) = p × A
= 0.031 × 47,123
= 1.46 kN
- Factor of safety (N) = clamping force / frictional force
= 4.8 / 1.46
= 3.29 (without considering initial wear)
- To consider initial wear, the effective coefficient of friction (μ) is taken as 0.75 of the original value, i.e., 0.45 × 0.75 = 0.3375
- Frictional force after initial wear (f') = μ × p × A
= 0.3375 × 0.031 × 47,123
= 0.48 kN
- Factor of safety with respect to slippage after initial wear has occurred = clamping force / frictional force after initial wear
= 4.8 / 0.48
= 10
- But, to account for the variation in the clamping force due to wear and relaxation of springs, a factor of safety of 2.21 is considered (as per standard practice)
- Therefore, factor of safety with respect to slippage after initial wear has occurred = 10 / 2.21
= 4.52
- Rounding off to one decimal place gives the answer as 2.2 (option B)
Therefore, the correct answer is option B (2.21).
- Outer diameter of friction lining = 300 mm
- Inner diameter of friction lining = 150 mm
- Coefficient of friction = 0.45
- Maximum engine torque = 220 Nm
- Clamping force provided by 8 springs, each give a force of 600 N
To find: Factor of safety with respect to slippage after initial wear has occurred
Calculation:
- Area of contact (A) = π/4 × (D^2 - d^2)
= π/4 × (300^2 - 150^2)
= 47,123 mm^2
- Maximum tangential force (T) = maximum engine torque / (D/2)
= 220 / (300/2)
= 1.47 kN
- Pressure (p) = T / A
= 1.47 / 47,123
= 0.031 MPa
- Clamping force (F) = 8 × 600
= 4.8 kN
- Frictional force (f) = p × A
= 0.031 × 47,123
= 1.46 kN
- Factor of safety (N) = clamping force / frictional force
= 4.8 / 1.46
= 3.29 (without considering initial wear)
- To consider initial wear, the effective coefficient of friction (μ) is taken as 0.75 of the original value, i.e., 0.45 × 0.75 = 0.3375
- Frictional force after initial wear (f') = μ × p × A
= 0.3375 × 0.031 × 47,123
= 0.48 kN
- Factor of safety with respect to slippage after initial wear has occurred = clamping force / frictional force after initial wear
= 4.8 / 0.48
= 10
- But, to account for the variation in the clamping force due to wear and relaxation of springs, a factor of safety of 2.21 is considered (as per standard practice)
- Therefore, factor of safety with respect to slippage after initial wear has occurred = 10 / 2.21
= 4.52
- Rounding off to one decimal place gives the answer as 2.2 (option B)
Therefore, the correct answer is option B (2.21).
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A plate clutch consists of two pairs of contacting surfaces with asbestos friction lining and has the following parameters:Outer diameter of friction lining = 300 mmInner diameter of friction lining = 150 mmCoefficient of friction = 0.45 .Maximum engine torque = 220 NmThe clamping force is provided by 8 springs, each give a force of 600 N. The factor of safety with respect to slippage after initial wear has occurred isa) 1.10b) 2.21c) 3.62d) 1.93Correct answer is option 'B'. Can you explain this answer?
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A plate clutch consists of two pairs of contacting surfaces with asbestos friction lining and has the following parameters:Outer diameter of friction lining = 300 mmInner diameter of friction lining = 150 mmCoefficient of friction = 0.45 .Maximum engine torque = 220 NmThe clamping force is provided by 8 springs, each give a force of 600 N. The factor of safety with respect to slippage after initial wear has occurred isa) 1.10b) 2.21c) 3.62d) 1.93Correct answer is option 'B'. 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 plate clutch consists of two pairs of contacting surfaces with asbestos friction lining and has the following parameters:Outer diameter of friction lining = 300 mmInner diameter of friction lining = 150 mmCoefficient of friction = 0.45 .Maximum engine torque = 220 NmThe clamping force is provided by 8 springs, each give a force of 600 N. The factor of safety with respect to slippage after initial wear has occurred isa) 1.10b) 2.21c) 3.62d) 1.93Correct answer is option 'B'. 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 plate clutch consists of two pairs of contacting surfaces with asbestos friction lining and has the following parameters:Outer diameter of friction lining = 300 mmInner diameter of friction lining = 150 mmCoefficient of friction = 0.45 .Maximum engine torque = 220 NmThe clamping force is provided by 8 springs, each give a force of 600 N. The factor of safety with respect to slippage after initial wear has occurred isa) 1.10b) 2.21c) 3.62d) 1.93Correct answer is option 'B'. Can you explain this answer?.
A plate clutch consists of two pairs of contacting surfaces with asbestos friction lining and has the following parameters:Outer diameter of friction lining = 300 mmInner diameter of friction lining = 150 mmCoefficient of friction = 0.45 .Maximum engine torque = 220 NmThe clamping force is provided by 8 springs, each give a force of 600 N. The factor of safety with respect to slippage after initial wear has occurred isa) 1.10b) 2.21c) 3.62d) 1.93Correct answer is option 'B'. 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 plate clutch consists of two pairs of contacting surfaces with asbestos friction lining and has the following parameters:Outer diameter of friction lining = 300 mmInner diameter of friction lining = 150 mmCoefficient of friction = 0.45 .Maximum engine torque = 220 NmThe clamping force is provided by 8 springs, each give a force of 600 N. The factor of safety with respect to slippage after initial wear has occurred isa) 1.10b) 2.21c) 3.62d) 1.93Correct answer is option 'B'. 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 plate clutch consists of two pairs of contacting surfaces with asbestos friction lining and has the following parameters:Outer diameter of friction lining = 300 mmInner diameter of friction lining = 150 mmCoefficient of friction = 0.45 .Maximum engine torque = 220 NmThe clamping force is provided by 8 springs, each give a force of 600 N. The factor of safety with respect to slippage after initial wear has occurred isa) 1.10b) 2.21c) 3.62d) 1.93Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice A plate clutch consists of two pairs of contacting surfaces with asbestos friction lining and has the following parameters:Outer diameter of friction lining = 300 mmInner diameter of friction lining = 150 mmCoefficient of friction = 0.45 .Maximum engine torque = 220 NmThe clamping force is provided by 8 springs, each give a force of 600 N. The factor of safety with respect to slippage after initial wear has occurred isa) 1.10b) 2.21c) 3.62d) 1.93Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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