Shaft under Uniaxial Torsion

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Shaft under Uniaxial Torsion Visit for more Learning Resources

Deformation under Torsion FG05_01-02UN.TIF Notes: Notice the deformation of the rectangular element when this rubber bar is subjected to a torque.

Deformation under Torsion FG05_01a.TIF Notes: Before deformation

Stress under Uniaxial Torsion

Stress Distribution in Solid Shaft FG05_07a.TIF Notes: Shear stress varies linearly along each radial line of the cross section

Stress Distribution in Hollow Shaft FG05_09a_b.TIF Notes: The shear stress distributed over the tube’s cross- sectional area varies linearly along any radial line

Stress Distribution in a Shaft

Twisting Angle in a Shaft (II) GJ: Torsion Rigidity

Analogy for a Bar under Uniaxial Loading EA: Axial Rigidity

Sign Convention in Torsion FG05_18.TIF Notes: Positive sign convention for T and O

Sign Convention in Torsion FG05_19a.TIF Notes: Consider the shaft which is subjected to four torques.

Statically Indeterminate Shaft FG05_24a.TIF Notes: Statically indeterminate torque-loaded members

Statically Indeterminate Shaft TA+TB = 120 N.m f = f1+f2 = 0 Solve for TA & TB !

Sample Problem

Sample Problem

Design of Shaft Transmission P = Tw = 2pfT

Warpage under Uniaxial Torsion FG05_26-11UN01.TIF Notes: Notice the deformation that occurs to the square element when this rubber bar is subjected to a torque.

Warpage under Uniaxial Torsion

Elasto-plastic Analysis for Shafts

Failure Modes of Shafts Ductile Materials Brittle Materials For more detail contact us

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