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A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².
- a)None of the listed
- b)11.21mm
- c)12.33mm
- d)14.12mm
Correct answer is option 'C'. Can you explain this answer?
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A flange of radius 200mm is fastened to the machine screw by means of ...
Explanation: Maximum tensile force=4777.6N or πd² x σ/4=4777.6N.
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A flange of radius 200mm is fastened to the machine screw by means of ...
To determine the core diameter of the cap screw, we need to consider the forces acting on it and calculate the maximum tensile stress.
The force acting on the cap screw can be calculated using the equation:
P = F / (2 * sin(180 / n))
where P is the external force (20 kN), F is the force acting on each cap screw, and n is the number of cap screws (4 in this case).
F = P * (2 * sin(180 / n))
F = 20 kN * (2 * sin(180 / 4))
F = 20 kN * (2 * sin(45))
F = 20 kN * 2 * √2 / 2
F = 40 kN * √2
The maximum tensile stress can be calculated using the equation:
σ = F / (π * d^2 / 4)
where σ is the maximum tensile stress, F is the force acting on the cap screw, and d is the core diameter of the cap screw.
40 N/mm = (40 kN * √2) / (π * d^2 / 4)
40 N/mm = (40,000 N * √2) / (π * d^2 / 4)
40 N/mm = (40,000 N * √2) * (4 / (π * d^2))
40 N/mm = (160,000 N * √2) / (π * d^2)
Simplifying the equation, we get:
d^2 = (160,000 N * √2) / (40 N/mm * π)
d^2 ≈ 1,273.24 mm^2
d ≈ √1,273.24 mm^2
d ≈ 35.7 mm
Therefore, the core diameter of the cap screw should be approximately 35.7 mm.
The force acting on the cap screw can be calculated using the equation:
P = F / (2 * sin(180 / n))
where P is the external force (20 kN), F is the force acting on each cap screw, and n is the number of cap screws (4 in this case).
F = P * (2 * sin(180 / n))
F = 20 kN * (2 * sin(180 / 4))
F = 20 kN * (2 * sin(45))
F = 20 kN * 2 * √2 / 2
F = 40 kN * √2
The maximum tensile stress can be calculated using the equation:
σ = F / (π * d^2 / 4)
where σ is the maximum tensile stress, F is the force acting on the cap screw, and d is the core diameter of the cap screw.
40 N/mm = (40 kN * √2) / (π * d^2 / 4)
40 N/mm = (40,000 N * √2) / (π * d^2 / 4)
40 N/mm = (40,000 N * √2) * (4 / (π * d^2))
40 N/mm = (160,000 N * √2) / (π * d^2)
Simplifying the equation, we get:
d^2 = (160,000 N * √2) / (40 N/mm * π)
d^2 ≈ 1,273.24 mm^2
d ≈ √1,273.24 mm^2
d ≈ 35.7 mm
Therefore, the core diameter of the cap screw should be approximately 35.7 mm.
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A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect answer is option 'C'. Can you explain this answer?
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A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect 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 flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect 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 flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect answer is option 'C'. Can you explain this answer?.
A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect 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 flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect 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 flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the core diameter of cap screw if permissible tensile stress in cap screw is 40N/mm².a)None of the listedb)11.21mmc)12.33mmd)14.12mmCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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