Calculating Shaft Diameter for Bending & Torsion Loads

In summary, the formula used to calculate the shaft diameter will depend on the constraints and geometric factors, such as bending and torsional stresses or deflections. If the constraint is yield stress or maximum deflection, the formula will involve solving for a specific cross-sectional area or diameter to meet those limits.
  • #1
teng125
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what formula should i use to calculate the shaft diameter according to the load due to bending and torsion??
 
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  • #2
That depends on the applied contraints and geometrical considerations.

Consider the formula one uses to determine the bending or torsional stresses or deflections in which the cross-sectional area is a factor. If the constraint is yield stress or maximum deflection, then one can solve for a particular cross-sectional area (and from that, diameter) based on a maximum stress less than or equal to yield stress, or maximum deflection based upon some limit (which could be limited by yield stress or interaction with some other structure).
 
  • #3


There are several formulas that can be used to calculate the shaft diameter for bending and torsion loads, depending on the specific circumstances and variables involved. Some commonly used formulas include the maximum shear stress theory, the maximum distortion energy theory, and the maximum shear strain energy theory. It is important to consider the type of material and its properties, as well as the applied loads and boundary conditions, in order to determine the most appropriate formula to use for accurate results. It is also recommended to consult with a mechanical engineer or refer to a comprehensive handbook or textbook for more specific guidance on calculating shaft diameter for bending and torsion loads.
 

What is the difference between bending and torsion loads?

Bending loads refer to forces that cause a bending or flexing of the shaft, while torsion loads refer to forces that cause twisting or rotation of the shaft.

How do I calculate the maximum bending stress on a shaft?

The maximum bending stress on a shaft can be calculated using the bending moment equation, σ = (M * c) / I, where σ is the maximum stress, M is the bending moment, c is the distance from the neutral axis to the outermost fiber, and I is the moment of inertia of the cross-sectional area of the shaft.

What factors affect the required diameter of a shaft for bending and torsion loads?

The required diameter of a shaft for bending and torsion loads is affected by the material properties of the shaft, the magnitude and direction of the loads applied, and the desired safety factor.

How do I calculate the maximum shear stress on a shaft?

The maximum shear stress on a shaft can be calculated using the shear stress equation, τ = (T * r) / J, where τ is the shear stress, T is the applied torque, r is the radius of the shaft, and J is the polar moment of inertia of the cross-sectional area of the shaft.

What is the safety factor for shaft design?

The safety factor for shaft design is the ratio of the maximum stress the shaft can withstand to the maximum stress it is expected to experience. A higher safety factor indicates a more robust and reliable design.

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