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# (Solved): The composite shaft shown in the figure consists of a solid brass segment (1) and a solid aluminum ...

The composite shaft shown in the figure consists of a solid brass segment (1) and a solid aluminum segment (2) that are connected at flange $$\mathrm{B}$$ and securely attached to rigid walls at $$\mathrm{A}$$ and $$\mathrm{C}$$. Brass segment (1) has a diameter of $$18 \mathrm{~mm}$$, a length of $$L_{1}=235 \mathrm{~mm}$$, and a shear modulus of $$39 \mathrm{GPa}$$. Aluminum segment (2) has a diameter of $$24 \mathrm{~mm}$$, a length of $$L_{2}=165 \mathrm{~mm}$$, and a shear modulus of $$28 \mathrm{GPa}$$. If a concentrated torque of $$270 \mathrm{~N} \cdot \mathrm{m}$$ is applied to flange $$\mathrm{B}$$, determine a) the maximum shear stress magnitudes in segments (1) and (2) b) the rotation angle of flange $$\mathrm{B}$$ relative to support $$\mathrm{A}$$.

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