Question $2(1$ point$)$

A surgical screw used for bone fixation is made of two different materials. This screw has two sections: a portion inside the bone is hollow and made of titanium for strength and biocompatibility. The other portion, extending outside the bone for placement, is solid and made of stainless steel for affordability and durability.

Titanium $($in$-$bone section$)$: $L_1=33\mathrm{.}5mm,d_0=6\mathrm{.}75mm,d_i=3\mathrm{.}25mm,G_1=44$GPa,$Ty=400$MPa

Stainless steel $($out$-$of$-$bone$)$: $L_2=6\mathrm{.}5mm,d_0=4\mathrm{.}5mm,$ and $G_2=77$GPa, $$y $=520$MPa.

The surgeon applies a torque $T=1\mathrm{.}25Nm$ to the screw. Determine the maximum shear stress in each section and determine if either material will yield. Write these answers and your discussion on the work submitted to the Dropbox.

Calculate the total angle of twist experienced by the screw and enter your answer below. Give your answer to $3$ significant figures.

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