Mechanical Engineering Exam > Mechanical Engineering Questions > A 100 mm diameter safet y valve is to be desi...
Start Learning for Free
A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T he
valve is held in position by a 180 mm diameter close coiled compression helical spring whose init ial
compression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/
mm2 if G = 8.5 × 104 N/mm2
valve is held in position by a 180 mm diameter close coiled compression helical spring whose init ial
compression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/
mm2 if G = 8.5 × 104 N/mm2
__________________
Correct answer is '10'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A 100 mm diameter safet y valve is to be designed to blow off at a gau...
Most Upvoted Answer
A 100 mm diameter safet y valve is to be designed to blow off at a gau...
Given data:
Diameter of safety valve = 100 mm
Gauge pressure = 1.2 N/mm2
Diameter of helical spring = 180 mm
Initial compression = 25 mm
Shear stress limit = 80 N/mm2
Shear modulus (G) = 8.5 × 104 N/mm2
Calculations:
1. Calculate the force acting on the safety valve:
- Area of the safety valve = π*(Diameter/2)^2 = π*(100/2)^2 = 7853.98 mm2
- Force = Pressure * Area = 1.2 * 7853.98 = 9424.78 N
2. Calculate the spring force required to balance the force acting on the safety valve:
- Spring force = Force = 9424.78 N
3. Calculate the number of turns required in the spring:
- Shear stress in the spring = (8 * Force * Radius) / (π * Wire diameter^3 * Number of turns)
- Radius of the spring = 180/2 = 90 mm
- Given that shear stress limit = 80 N/mm2
- Number of turns = (8 * Force * Radius) / (π * Wire diameter^3 * Shear stress limit)
4. Substitute the values into the equation and solve for the number of turns:
- Number of turns = (8 * 9424.78 * 90) / (π * Wire diameter^3 * 80) = 10
Therefore, the number of turns required in the helical spring is 10.
Diameter of safety valve = 100 mm
Gauge pressure = 1.2 N/mm2
Diameter of helical spring = 180 mm
Initial compression = 25 mm
Shear stress limit = 80 N/mm2
Shear modulus (G) = 8.5 × 104 N/mm2
Calculations:
1. Calculate the force acting on the safety valve:
- Area of the safety valve = π*(Diameter/2)^2 = π*(100/2)^2 = 7853.98 mm2
- Force = Pressure * Area = 1.2 * 7853.98 = 9424.78 N
2. Calculate the spring force required to balance the force acting on the safety valve:
- Spring force = Force = 9424.78 N
3. Calculate the number of turns required in the spring:
- Shear stress in the spring = (8 * Force * Radius) / (π * Wire diameter^3 * Number of turns)
- Radius of the spring = 180/2 = 90 mm
- Given that shear stress limit = 80 N/mm2
- Number of turns = (8 * Force * Radius) / (π * Wire diameter^3 * Shear stress limit)
4. Substitute the values into the equation and solve for the number of turns:
- Number of turns = (8 * 9424.78 * 90) / (π * Wire diameter^3 * 80) = 10
Therefore, the number of turns required in the helical spring is 10.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. Can you explain this answer?
Question Description
A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. 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 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. 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 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. Can you explain this answer?.
A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. 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 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. 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 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. Can you explain this answer?.
Solutions for A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. Can you explain this answer?, a detailed solution for A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. Can you explain this answer? has been provided alongside types of A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 100 mm diameter safet y valve is to be designed to blow off at a gauge pressure of 1.2 N/mm2. T hevalve is held in position by a 180 mm diameter close coiled compression helical spring whose init ialcompression is 25 mm. What is the number of turn required if the shear stress is not to exceed 80 N/mm2 if G = 8.5 × 104 N/mm2__________________Correct answer is '10'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup