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A motor shaft consists of a steel tube 30 mm external diameter and 3 mm thick. The engine develops 10 kW at 2000 r.p.m. What will be the maximum stress in the tube, when the power is transmitted through 4 : 1 gearing?
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A motor shaft consists of a steel tube 30 mm external diameter and 3 m...
Problem Statement: Calculate the maximum stress in a motor shaft consisting of a steel tube with 30 mm external diameter and 3 mm thickness, when the engine develops 10 kW at 2000 r.p.m. and the power is transmitted through 4 : 1 gearing.
Solution:
Therefore, the maximum stress in the motor shaft is 49.31 MPa. The stress is within the permissible limit for steel, which is around 200 MPa. The steel tube can withstand the transmitted power without any deformation.
Solution:
- Calculate torque: Torque = (Power × 60) / (2π × speed) = (10,000 × 60) / (2π × 2000) = 477.46 Nm
- Calculate equivalent torque: Equivalent torque = Torque × Gear Ratio = 477.46 × 4 = 1909.84 Nm
- Calculate maximum bending moment: Maximum bending moment = Equivalent torque × (Diameter / 2) = 1909.84 × (30 / 2) = 28647.6 Nmm
- Calculate maximum stress: Maximum stress = (32 × Maximum bending moment) / (π × Diameter^3 × Thickness) = (32 × 28647.6) / (π × 30^3 × 3) = 49.31 MPa
Therefore, the maximum stress in the motor shaft is 49.31 MPa. The stress is within the permissible limit for steel, which is around 200 MPa. The steel tube can withstand the transmitted power without any deformation.
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A motor shaft consists of a steel tube 30 mm external diameter and 3 mm thick. The engine develops 10 kW at 2000 r.p.m. What will be the maximum stress in the tube, when the power is transmitted through 4 : 1 gearing?
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A motor shaft consists of a steel tube 30 mm external diameter and 3 mm thick. The engine develops 10 kW at 2000 r.p.m. What will be the maximum stress in the tube, when the power is transmitted through 4 : 1 gearing? 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 motor shaft consists of a steel tube 30 mm external diameter and 3 mm thick. The engine develops 10 kW at 2000 r.p.m. What will be the maximum stress in the tube, when the power is transmitted through 4 : 1 gearing? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A motor shaft consists of a steel tube 30 mm external diameter and 3 mm thick. The engine develops 10 kW at 2000 r.p.m. What will be the maximum stress in the tube, when the power is transmitted through 4 : 1 gearing?.
A motor shaft consists of a steel tube 30 mm external diameter and 3 mm thick. The engine develops 10 kW at 2000 r.p.m. What will be the maximum stress in the tube, when the power is transmitted through 4 : 1 gearing? 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 motor shaft consists of a steel tube 30 mm external diameter and 3 mm thick. The engine develops 10 kW at 2000 r.p.m. What will be the maximum stress in the tube, when the power is transmitted through 4 : 1 gearing? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A motor shaft consists of a steel tube 30 mm external diameter and 3 mm thick. The engine develops 10 kW at 2000 r.p.m. What will be the maximum stress in the tube, when the power is transmitted through 4 : 1 gearing?.
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