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A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder is
- a)36 kgf/cm2 compression
- b)36 kgf/cm2 tension
- c)72 kgf/cm2 compression
- d)72 kgf/cm2 tension.
Correct answer is option 'C'. Can you explain this answer?
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A compound cylinder with inner radius 5 cm and outer radius 7 cm is ma...
Given data:
Inner radius of cylinder, r1 = 5 cm
Outer radius of cylinder, r2 = 7 cm
Junction radius, r = 6 cm
Junction pressure, P = 11 kgf/cm2
To find:
Maximum hoop stress developed in the inner cylinder.
Solution:
The compound cylinder can be divided into two parts:
1. Inner cylinder with radius r1
2. Outer cylinder with radius r2
The junction between the two cylinders is at a radius of r.
The pressure acts on the junction between the two cylinders. The force acting on the junction is given by:
F = P x π x (r2^2 - r1^2)
The force F is resisted by the inner cylinder. The maximum hoop stress developed in the inner cylinder is given by:
σmax = F x r1 / (r2^2 - r1^2)
Substituting the values of F, r1 and r2, we get:
σmax = P x r1 x (r2 + r1) / (r2^2 - r1^2)
Substituting the given values, we get:
σmax = 11 x 5 x (7 + 5) / (7^2 - 5^2)
σmax = 72 kgf/cm2 compression
Therefore, the maximum hoop stress developed in the inner cylinder is 72 kgf/cm2 compression.
Inner radius of cylinder, r1 = 5 cm
Outer radius of cylinder, r2 = 7 cm
Junction radius, r = 6 cm
Junction pressure, P = 11 kgf/cm2
To find:
Maximum hoop stress developed in the inner cylinder.
Solution:
The compound cylinder can be divided into two parts:
1. Inner cylinder with radius r1
2. Outer cylinder with radius r2
The junction between the two cylinders is at a radius of r.
The pressure acts on the junction between the two cylinders. The force acting on the junction is given by:
F = P x π x (r2^2 - r1^2)
The force F is resisted by the inner cylinder. The maximum hoop stress developed in the inner cylinder is given by:
σmax = F x r1 / (r2^2 - r1^2)
Substituting the values of F, r1 and r2, we get:
σmax = P x r1 x (r2 + r1) / (r2^2 - r1^2)
Substituting the given values, we get:
σmax = 11 x 5 x (7 + 5) / (7^2 - 5^2)
σmax = 72 kgf/cm2 compression
Therefore, the maximum hoop stress developed in the inner cylinder is 72 kgf/cm2 compression.
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A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. Can you explain this answer?
Question Description
A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. 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 compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. 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 compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. Can you explain this answer?.
A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. 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 compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. 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 compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. Can you explain this answer?.
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A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is 11 kgf/cm2. The maximum hoop stress developed in the inner cylinder isa)36 kgf/cm2 compressionb)36 kgf/cm2 tensionc)72 kgf/cm2 compressiond)72 kgf/cm2 tension.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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