Angular defleciotn in shafts5/31/2023 ![]() G r dθ/dx, the shear stress is a linear function ![]() The first step is finding a relationship between the rate of twist, dθ/dxĪnd the applied torque, T. To develop a more useful form of this equation. Generally, the rate of twist, dθ/dx, is not usedīut it is related to the torque, T. The change of angle, γ, is also the shear strain. Must be compatible at the outside edge (arc length A-A in red). If a small differential element, dx, is sliced from the bar, the two angles On the other hand, the change of angle, γ, The twist angle, θ, starts at 0 and increases linearlyĪs a function of x. This angle will be aįunction of the bar length, L, and stiffness, G (shear modulus). If a torque (or moment) is applied to the end of a circular bar as shown, theīar will twist an angle θ. Will help develop equations that can be used to solve for the shear stress, strain The animation at the left illustrates as the torsion moment increases, the shear Stress (τ), and a rotation, called shear strain (γ). Unlike linear stress and strain, torsion causes a twisting stress, called shear Torsion, like a linear force, will produce both stress and the strain. Mechanics eBook: Circular Bars and Shafts
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