CE 203Structural Mechanics Section 3

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CE 203-04 Structural Mechanics
Torsion of Solid Noncircular Shafts Lecture 21
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Solid Noncircular shafts

• Unlike deformation in shafts with circular
  cross-sections, other cross sections will bulge
  or warp when the shafts is twisted resulting in
  complex distribution

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Torsion of rectangular shafts
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Determine the maximum shear stress and the angle
of twist at the free end of the shaft with square
x-section of length L2m, G 80 GPa, end torque
500 N.mDetermine area of circular shaft that
would carry the same torque without increase in
max shear stress.
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Determine the maximum shear stress and the angle
of twist at the free end of the shaft with
square x-section of length L2m, G 80 GPa, end
torque 500 N.mDetermine area of circular shaft
that would carry the same torque without
increase in max shear stress.
50mmX50mm
Shaft x-section
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Other cross-sections
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Sections composed of thin rectanglesc1c21/3
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Can we handle this case?