Elastic Twisting of Solid Noncircular Sections

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Elastic Twisting of Solid Noncircular Sections
The assumptions stated above for circular cross
sections no longer apply for noncircular
sections. Mainly, transverse cross sections warp
during twisting of shafts with solid noncircular
sections
The theory of elasticity can be used to derive
the formulas for ? and ? for different
noncircular shapes such as
. . . . . . etc.
This is beyond the scope of this course.
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The formulas for rectangular cross sections will
be stated below without prove. For more shapes,
you can see the textbook and other references.
? ?max only ! at middle of long leg
? and ? are obtained from the table given, by
knowing b/a ratio.
Very important b ? a ?
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