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11 Questions

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Shaft Angle of Twist Calculation

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Questions and Answers

What is the formula used to compute the angle of twist in torsional deformation?

$\theta = \frac{T \cdot J}{G \cdot L}$

$\theta = \frac{T \cdot L}{G \cdot J}$ (correct)

$\theta = \frac{G \cdot J}{T \cdot L}$

$\theta = \frac{L}{T} \cdot G \cdot J$

For a solid shaft, what is the expression for the polar moment of inertia?

$16\pi\frac{d_o^4 - d_i^4}{32}$

$32\pi\frac{d_o^4 - d_i^4}{32}$ (correct)

$\pi\frac{d^4}{64}$

$8\pi\frac{d^4}{64}$

In torsional deformation, what happens to the angle of twist if the length of the shaft increases?

The angle of twist remains constant.

The angle of twist becomes zero.

The angle of twist increases. (correct)

The angle of twist decreases.

What is the ultimate strength of the material in psi?

110,000 Signup and view all the answers

What is the factor of safety required for the round steel bar?

10 Signup and view all the answers

In the power-torque-speed relationship, what is the unit of torque given in the example?

N.m Signup and view all the answers

What happens to a shaft when it is subjected to torque?

It undergoes twisting Signup and view all the answers

What type of stress is experienced by a body when a twisting force is applied?

Torsional stress Signup and view all the answers

In the context of the text, what is the unit for direct tensile stress typically measured in?

MPa Signup and view all the answers

What happens to the polar moment of inertia when a solid shaft's diameter is increased?

Increases Signup and view all the answers

If a steel rod is subjected to both tensile and torsional loads simultaneously, what type of stress will be present?

Combined stress Signup and view all the answers

Study Notes

Torsional Deformation

The angle of twist is computed using a specific formula.
In torsional deformation, the angle of twist increases when the length of the shaft increases.

Polar Moment of Inertia

For a solid shaft, the expression for the polar moment of inertia is known.
The polar moment of inertia increases when a solid shaft's diameter is increased.

Material Properties

The ultimate strength of the material is measured in psi.
A factor of safety is required for the round steel bar.

Power-Torque-Speed Relationship

The unit of torque is given in a specific unit in the example.

Torsional Stress

When a shaft is subjected to torque, it experiences twisting.
A twisting force applied to a body results in torsional stress.
In the context of the text, direct tensile stress is typically measured in a specific unit.

Combined Stress

When a steel rod is subjected to both tensile and torsional loads simultaneously, it experiences both types of stress.

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Description

Learn how to compute the angle of twist in a shaft using the formula 𝜃=𝐺𝐽/𝑇𝐿. This specific example involves calculating the angle of twist for a steel shaft with given dimensions and torque.