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The greatest twisting moment which a shaft section can resist is given by
- a)torsional rigidity of the shaft
- b)maximum shear stress x polar modulus
- c)maximum shear stress x modulus of stress rigidity
- d)ratio of modulus of rigidity and polar moment of inertia
Correct answer is option 'B'. Can you explain this answer?
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The greatest twisting moment which a shaft section can resist is given...
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The greatest twisting moment which a shaft section can resist is given...
Explanation:
The twisting moment is also known as torque, which is the force that causes rotation. When a shaft is subjected to torque, it experiences shear stress, which is the stress that occurs when a material is subjected to forces that cause it to slide against itself in opposite directions. The maximum shear stress is the stress at the surface of the shaft, which occurs at a 45-degree angle to the longitudinal axis of the shaft. The polar modulus is a measure of the resistance of a solid object to torsion, and the modulus of rigidity is a measure of the stiffness of a material.
Formula:
The formula for the maximum twisting moment that a shaft section can resist is given by:
Maximum twisting moment = Maximum shear stress x Polar modulus
Explanation of options:
a) Torsional rigidity of the shaft: Torsional rigidity is a measure of the resistance of a shaft to twisting. It is not directly related to the maximum twisting moment that a shaft section can resist.
b) Maximum shear stress x polar modulus: This is the correct formula for calculating the maximum twisting moment that a shaft section can resist. The maximum shear stress occurs at the surface of the shaft, and the polar modulus is a measure of the resistance of the shaft to torsion.
c) Maximum shear stress x modulus of stress rigidity: The modulus of stress rigidity is a measure of the stiffness of a material under shear stress. It is not directly related to the maximum twisting moment that a shaft section can resist.
d) Ratio of modulus of rigidity and polar moment of inertia: The polar moment of inertia is a measure of the resistance of a solid object to torsion. It is not directly related to the maximum twisting moment that a shaft section can resist.
Conclusion:
The correct formula for calculating the maximum twisting moment that a shaft section can resist is maximum shear stress x polar modulus. This formula takes into account the shear stress at the surface of the shaft and the resistance of the shaft to torsion.
The twisting moment is also known as torque, which is the force that causes rotation. When a shaft is subjected to torque, it experiences shear stress, which is the stress that occurs when a material is subjected to forces that cause it to slide against itself in opposite directions. The maximum shear stress is the stress at the surface of the shaft, which occurs at a 45-degree angle to the longitudinal axis of the shaft. The polar modulus is a measure of the resistance of a solid object to torsion, and the modulus of rigidity is a measure of the stiffness of a material.
Formula:
The formula for the maximum twisting moment that a shaft section can resist is given by:
Maximum twisting moment = Maximum shear stress x Polar modulus
Explanation of options:
a) Torsional rigidity of the shaft: Torsional rigidity is a measure of the resistance of a shaft to twisting. It is not directly related to the maximum twisting moment that a shaft section can resist.
b) Maximum shear stress x polar modulus: This is the correct formula for calculating the maximum twisting moment that a shaft section can resist. The maximum shear stress occurs at the surface of the shaft, and the polar modulus is a measure of the resistance of the shaft to torsion.
c) Maximum shear stress x modulus of stress rigidity: The modulus of stress rigidity is a measure of the stiffness of a material under shear stress. It is not directly related to the maximum twisting moment that a shaft section can resist.
d) Ratio of modulus of rigidity and polar moment of inertia: The polar moment of inertia is a measure of the resistance of a solid object to torsion. It is not directly related to the maximum twisting moment that a shaft section can resist.
Conclusion:
The correct formula for calculating the maximum twisting moment that a shaft section can resist is maximum shear stress x polar modulus. This formula takes into account the shear stress at the surface of the shaft and the resistance of the shaft to torsion.
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The greatest twisting moment which a shaft section can resist is given bya)torsional rigidity of the shaftb)maximum shear stress x polar modulusc)maximum shear stress x modulus of stress rigidityd)ratio of modulus of rigidity and polar moment of inertiaCorrect answer is option 'B'. Can you explain this answer?
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