Slide 14

We have reviewed a number of topics in the theory of torsion of circular shafts. Torsion refers to loading of a shaft by a moment parallel to the shaft. This moment is called a torque. The strain in torsion is found by geometric considerations. Knowing strain we found stress using Hooke's law. Integrating the stress over the cross sectional area of the shaft, we derived the relation between shear strain, twist and torque. This relation involves the polar moment of inertia. Thinking of the shaft as a torsional spring we found the spring constant in terms of the geometry and shear modulus of the shaft. Stresses in solid and hollow shafts are discussed, and brittle and ductile failure explored.

Introduction

Chalk Talks
•Basic theory
•Testing
  system
•Engineered   materials
•Turkey bone

Virtual Tests
•Aluminum
•Turkey bone
•PMMA
•Cast iron

Test Data
•Aluminum
•Turkey bone
•PMMA
•Cast iron

Lab Manual
•Engineered   materials
-Instructions
-Data sheets
•Turkey bone
-Instructions
-Data sheets
•Entire lab
  manual (.doc) (.pdf)

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