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  1. Learn how to calculate the torsion of a shaft due to an applied torque using the formula T = τJTGℓφ. See a sample calculation for a steam turbine shaft and the failure mode of torsion.

  2. Learn about shearing stresses and strains, and how they relate to torsionally loaded shafts. Find the torsion formula and examples of shear problems in engineering.

  3. Learn how to calculate the torsional shear stress using the torsion formula, which depends on the torque, radius and polar moment of inertia. See examples of circular cross-sections and sign convention for torque directions.

  4. Learn how to calculate the torsional shearing stress, angle of twist, and power transmitted by a shaft in torsion. See formulas for solid and hollow circular shafts and examples with solutions.

  5. Learn the basic equations of torsion of prismatic bars using the semi-inverse method and the stress formulation. Derive the governing equation for the stress function and the torque-twist relation.

  6. Learn how to calculate the angle of twist and the shear stress of a bar subject to a torque using various formulas for circular and non-circular sections. Find tables of torsion constants and moduli for common steel sections.

  7. SHEAR AND TORSION David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, MA 02139 June 23, 2000

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