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ENGR 220 Section 5.1-5.3

ENGR 220 Section 5.1-5.3. Torsional Deformation of a Circular Shaft. Torsional Deformation of a Circular Shaft. The Torsional Formula. If the material is elastic then Hooke’s Law applies. Derivation of the Torsional Formula. Torsional Equation.

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ENGR 220 Section 5.1-5.3

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  1. ENGR 220Section 5.1-5.3

  2. Torsional Deformation of a Circular Shaft

  3. Torsional Deformation of a Circular Shaft

  4. The Torsional Formula • If the material is elastic then Hooke’s Law applies.

  5. Derivation of the Torsional Formula

  6. Torsional Equation

  7. Lecture Example: Plot the torque on the shaft as a function of position from E to B. The smooth bearings at A and B do not resist torque.

  8. Lecture Example: Plot the shear stress distribution acting along a radial line lying in the region EA of the shaft. The smooth bearings at A and B do not resist torque. Shaft ID = 1 in Shaft OD = 1.25 in

  9. Power Transmission

  10. Lecture Example: The gear motor can develop 1/10 hp when it turns at 80 rev/min. If the allowable stress for the shaft is τallow = 4 ksi determine the smallest diameter shaft to the nearest 1/8 in that can be used.

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