The thin-walled hollow cylindrical member AB has a noncircular cross section of nonuniform thickness. Using the expression given in Eq. (3.50) of Sec. 3.10 and the expression for the strain- energy density given in Eq. (11.17), show that the angle of twist of member AB is
where ds is the length of a small element of the wall cross section and ɑ is the area enclosed by center line of the wall cross section.
Fig. P11.70
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Mechanics of Materials, 7th Edition
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