The composite shaft shown is to be twisted by applying a torque T at end A. Knowing that the modulus of rigidity is 77 GPa for the steel and 27 GPa for the aluminum, determine the largest angle through which end A can be rotated if the following allowable stresses are not be exceeded: τsteel 5 60 MPa and τaluminum = 45 MPa.
Fig. P10.42

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