Find Shear Stress in Shaft Design | Modulus of Rigidity 80kN/mm2

In summary, shear stress is a type of stress that occurs when two forces are applied parallel to each other, but in opposite directions, causing deformation or a change in shape. In shaft design, shear stress is calculated by dividing the force applied parallel to the cross-sectional area of the shaft. The modulus of rigidity is a measure of a material's stiffness or resistance to deformation when shear stress is applied, and a higher modulus of rigidity indicates a material that is less likely to deform or fail. It is important in shaft design as it helps determine the allowable shear stress and calculate the required diameter of a shaft. A common modulus of rigidity for shaft materials is 80kN/mm2.
  • #1
loststudent123
6
0
A rule often used in shaft design states that the angle of twist shall not exceed 1 on a length equal to 20 diameters. What stress in the material does this imply if the modulus of rigidity is equal to 80 × 103 N/mm2 ?
was wondering if anybody had an insight on how to do this ?

have tried a few ways but keep being left with 2 unknowns
 
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  • #2
Please use the HW Template and fill out all three sections, including the one which includes your attempts at solution.
 

Related to Find Shear Stress in Shaft Design | Modulus of Rigidity 80kN/mm2

1. What is shear stress?

Shear stress is a type of stress that occurs when two forces are applied parallel to each other, but in opposite directions, causing deformation or a change in shape.

2. How is shear stress calculated in shaft design?

In shaft design, shear stress is calculated by dividing the force applied parallel to the cross-sectional area of the shaft. This can be represented by the formula: Shear Stress = Force / Cross-sectional Area.

3. What is the modulus of rigidity and how does it relate to shear stress?

The modulus of rigidity is a measure of a material's stiffness or resistance to deformation when shear stress is applied. In shaft design, a higher modulus of rigidity indicates a material that is less likely to deform or fail under shear stress.

4. Why is the modulus of rigidity important in shaft design?

The modulus of rigidity is important in shaft design because it helps determine the allowable shear stress that a shaft can withstand without experiencing failure or deformation. It is also used to calculate the required diameter of a shaft to withstand a certain amount of shear stress.

5. What is the typical modulus of rigidity for shaft materials?

The modulus of rigidity can vary depending on the material used for the shaft. However, a common modulus of rigidity for shaft materials is 80kN/mm2. This value can also be used as a reference point when comparing different materials for shaft design.

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