# Why Is the Force for T1 Doubled in the Torsional Deflection Problem?

• grunt58
In summary, the torsional deflection formula is a mathematical equation used to calculate the amount of twisting or bending a material experiences when a torque is applied to it. It takes into account the properties of the material, the dimensions of the object, and the magnitude of the applied torque. To use the formula, gather information about the material, object, and torque and solve for the deflection. Factors such as material properties, object dimensions, and torque magnitude affect the deflection. The formula can be used for any elastic material but may not be accurate for materials with plastic deformation. Real-world applications include engineering and design of structures and rotating machinery.
grunt58
I am confused as to why the force for T1 in the attached problem is doubled.

T1 = 4000 in-lb

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• CMfgT PRACTICE-EXAM.pdf
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The 3 inch section is resisting both loads.
The 2 inch section is resisting the outer load only.

AZFIREBALL said:
The 3 inch section is resisting both loads.
The 2 inch section is resisting the outer load only.

Ahhh ok thank you.

## 1. What is the torsional deflection formula?

The torsional deflection formula is a mathematical equation used to calculate the amount of deflection or bending that occurs in a material when it is subjected to torsional or twisting forces.

## 2. How is the torsional deflection formula derived?

The torsional deflection formula is derived from the basic principles of mechanics, specifically the relationship between torque, moment of inertia, and angular displacement.

## 3. What are the variables in the torsional deflection formula?

The variables in the torsional deflection formula include the applied torque, the length of the material, the material's shear modulus, and the material's polar moment of inertia.

## 4. Can the torsional deflection formula be used for all materials?

No, the torsional deflection formula is specifically designed for elastic materials, meaning those that can return to their original shape after being subjected to external forces. It is not applicable for materials that exhibit plastic deformation.

## 5. How is the torsional deflection formula used in real-world applications?

The torsional deflection formula is commonly used in engineering and construction to design and analyze structures that are subjected to torsional forces, such as bridges, towers, and wind turbines.

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