A transmission shaft subjected to bending loads must be designed on th...
Correct Answer :- a
Explanation : Bending force is normal force, so that design based on maximum normal stress theory.
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A transmission shaft subjected to bending loads must be designed on th...
Design of Transmission Shaft
Introduction:
A transmission shaft is an important mechanical component that is used to transmit power and torque from one machine to another. It is subjected to various types of loads during its operation, such as bending, torsion, and axial loads. In order to ensure the safe and reliable operation of the transmission shaft, it must be designed properly.
Design criteria:
The design of a transmission shaft is based on the following criteria:
1. Strength: The shaft must be able to withstand the maximum stress that it will be subjected to during its operation. This is determined by using the appropriate stress theory.
2. Stiffness: The shaft must be stiff enough to prevent excessive deflection or bending during its operation.
3. Fatigue strength: The shaft must be designed to withstand repeated loading without failure.
Maximum normal stress theory:
According to the maximum normal stress theory, the design of a transmission shaft is based on the maximum normal stress that it will be subjected to during its operation. The maximum normal stress theory states that failure will occur when the maximum normal stress in a material exceeds its ultimate tensile strength.
The formula for calculating the maximum normal stress in a transmission shaft subjected to bending is given by:
σmax = Mmax / Z
Where σmax = maximum normal stress,
Mmax = maximum bending moment,
Z = section modulus of the shaft.
The section modulus is a property of the cross-sectional shape of the shaft and is calculated as follows:
Z = (π/32) x (D^4 - d^4)
Where D = outer diameter of the shaft,
d = inner diameter of the shaft.
Once the maximum normal stress is calculated, it must be compared to the ultimate tensile strength of the material to ensure that the shaft is designed to withstand the maximum stress that it will be subjected to during its operation.
Conclusion:
The design of a transmission shaft is a critical task that must be performed properly in order to ensure the safe and reliable operation of the shaft. The maximum normal stress theory is one of the most commonly used stress theories for the design of transmission shafts subjected to bending loads.
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