6.16 A compound steel [G= 80 GPa] shaft(Fig. P6.16) consists of a solid 55-mm-diameter segment (1) and a solid 40-mm-diameter segment (2). The allowable shearstress of the steel is 70 MPa, and the maximum rotation angle at the free end ofthe compound shaft must be limited to φC≤3°. Determine the magnitude of the largesttorque TCthat may be applied at C. Fig. P6.16Solution Section properties:441(55 mm)898,360.5 mm32Jπ==442(40 mm)251,327.4 mm32Jπ==Consider shear stress: The larger shear stress will occur in the smaller diameter segment; that is, segment (2). 24max(70 N/mm)(251,327.4 mm)879,646 N-mm40 mm/2JTcτ≤==Consider angle of twist:
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