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The piston rod of a hydraulic cylinder exerts an operating force of 10kN. The allowable stress in the cylinder is 45N/mm². Calculate the thickness of the cylinder using Lame’s equation. Diameter of the cylinder is 40mm and pressure in cylinder is 10MPa.
- a)2.05mm
- b)4.2mm
- c)5.07mm
- d)None of the listed
Correct answer is option 'C'. Can you explain this answer?
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The piston rod of a hydraulic cylinder exerts an operating force of 10...
Explanation: t=D/2[√[σ+ P /σ-P] -1 ].
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The piston rod of a hydraulic cylinder exerts an operating force of 10...
².
To determine the minimum required diameter for the piston rod, we can use the formula for stress:
Stress = Force / Area
Rearranging this formula to solve for the required area:
Area = Force / Stress
Substituting the given values:
Area = 10,000 N / (45 N/mm²) = 222.22 mm²
The minimum required diameter can then be calculated using the formula for the area of a circle:
Area = πr²
Rearranging this formula to solve for radius:
r = √(Area/π)
Substituting the calculated area:
r = √(222.22 mm² / π) = 8.44 mm
The minimum required diameter for the piston rod is twice the radius, so:
Diameter = 2r = 2(8.44 mm) = 16.88 mm
Therefore, the minimum required diameter for the piston rod of the hydraulic cylinder is 16.88 mm.
To determine the minimum required diameter for the piston rod, we can use the formula for stress:
Stress = Force / Area
Rearranging this formula to solve for the required area:
Area = Force / Stress
Substituting the given values:
Area = 10,000 N / (45 N/mm²) = 222.22 mm²
The minimum required diameter can then be calculated using the formula for the area of a circle:
Area = πr²
Rearranging this formula to solve for radius:
r = √(Area/π)
Substituting the calculated area:
r = √(222.22 mm² / π) = 8.44 mm
The minimum required diameter for the piston rod is twice the radius, so:
Diameter = 2r = 2(8.44 mm) = 16.88 mm
Therefore, the minimum required diameter for the piston rod of the hydraulic cylinder is 16.88 mm.
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The piston rod of a hydraulic cylinder exerts an operating force of 10kN. The allowable stress in the cylinder is 45N/mm². Calculate the thickness of the cylinder using Lame’s equation. Diameter of the cylinder is 40mm and pressure in cylinder is 10MPa.a)2.05mmb)4.2mmc)5.07mmd)None of the listedCorrect answer is option 'C'. Can you explain this answer?
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The piston rod of a hydraulic cylinder exerts an operating force of 10kN. The allowable stress in the cylinder is 45N/mm². Calculate the thickness of the cylinder using Lame’s equation. Diameter of the cylinder is 40mm and pressure in cylinder is 10MPa.a)2.05mmb)4.2mmc)5.07mmd)None of the listedCorrect 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 The piston rod of a hydraulic cylinder exerts an operating force of 10kN. The allowable stress in the cylinder is 45N/mm². Calculate the thickness of the cylinder using Lame’s equation. Diameter of the cylinder is 40mm and pressure in cylinder is 10MPa.a)2.05mmb)4.2mmc)5.07mmd)None of the listedCorrect 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 The piston rod of a hydraulic cylinder exerts an operating force of 10kN. The allowable stress in the cylinder is 45N/mm². Calculate the thickness of the cylinder using Lame’s equation. Diameter of the cylinder is 40mm and pressure in cylinder is 10MPa.a)2.05mmb)4.2mmc)5.07mmd)None of the listedCorrect answer is option 'C'. Can you explain this answer?.
The piston rod of a hydraulic cylinder exerts an operating force of 10kN. The allowable stress in the cylinder is 45N/mm². Calculate the thickness of the cylinder using Lame’s equation. Diameter of the cylinder is 40mm and pressure in cylinder is 10MPa.a)2.05mmb)4.2mmc)5.07mmd)None of the listedCorrect 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 The piston rod of a hydraulic cylinder exerts an operating force of 10kN. The allowable stress in the cylinder is 45N/mm². Calculate the thickness of the cylinder using Lame’s equation. Diameter of the cylinder is 40mm and pressure in cylinder is 10MPa.a)2.05mmb)4.2mmc)5.07mmd)None of the listedCorrect 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 The piston rod of a hydraulic cylinder exerts an operating force of 10kN. The allowable stress in the cylinder is 45N/mm². Calculate the thickness of the cylinder using Lame’s equation. Diameter of the cylinder is 40mm and pressure in cylinder is 10MPa.a)2.05mmb)4.2mmc)5.07mmd)None of the listedCorrect answer is option 'C'. Can you explain this answer?.
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