Circular shaft Applied mechanics

In summary, a circular shaft is a solid, cylindrical rod used to transmit torque and bending moments in machines and structures. The stress in a circular shaft can be calculated using a formula, and the material of the shaft plays a crucial role in determining its strength. There are two types of circular shafts - solid and hollow - with the latter being used to reduce weight without sacrificing strength. Common applications of circular shafts include drive shafts in automobiles, propeller shafts in ships, and crankshafts in engines, as well as in structures like bridges, buildings, and wind turbines.
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Adam Harris
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In the pulley system shown in Figure Q1 the tangential forces on the pulleys are shown. Each pulley adds an additional load / weight of 500N on the shaft. Calculate a suitable shaft diameter so that to avoid failure by the maximum shear stress criterion. The tensile yield strength of the shaft material is 248MN/m2 . The shaft weight may be neglected and the shaft bearings may be treated as simple supports.
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FAQ: Circular shaft Applied mechanics

1. What is a circular shaft in applied mechanics?

A circular shaft is a structural element that is used to transmit torque and bending moments in machines and structures. It is a solid, cylindrical rod that is subjected to various types of loading.

2. How is stress calculated in a circular shaft?

The stress in a circular shaft can be calculated using the formula σ = Mc/I, where σ is the stress, M is the bending moment, c is the distance from the neutral axis to the outermost point of the shaft, and I is the moment of inertia.

3. What is the difference between a solid and a hollow circular shaft?

A solid circular shaft has a constant diameter throughout its length, while a hollow circular shaft has a varying diameter. The hollow shaft is often used to reduce the weight of the structure without sacrificing strength.

4. How does the material of the shaft affect its strength?

The material of the shaft plays a crucial role in determining its strength. Materials with a higher yield strength, such as steel, can handle higher loads without deforming or breaking compared to materials with a lower yield strength, such as aluminum.

5. What are some common applications of circular shafts in applied mechanics?

Circular shafts are commonly used in various applications, including the drive shafts of automobiles, propeller shafts in ships, and crankshafts in engines. They are also used in structures such as bridges, buildings, and wind turbines to transmit forces and moments.

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