Engr 220 section 5 1 5 3
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ENGR 220 Section 5.1-5.3 PowerPoint PPT Presentation


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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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Engr 220 section 5 1 5 3

ENGR 220Section 5.1-5.3


Torsional deformation of a circular shaft

Torsional Deformation of a Circular Shaft


Torsional deformation of a circular shaft1

Torsional Deformation of a Circular Shaft


The torsional formula

The Torsional Formula

  • If the material is elastic then Hooke’s Law applies.


Derivation of the torsional formula

Derivation of the Torsional Formula


Torsional equation

Torsional Equation


Engr 220 section 5 1 5 3

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.


Engr 220 section 5 1 5 3

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


Power transmission

Power Transmission


Engr 220 section 5 1 5 3

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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