A circular shaft has a diameter $D=40mm$ and a length $L=1\mathrm{.}5m$ and is made of structura steel with elastic perfectiy plastic behavior $(6=95\mathrm{.}98$ GPa and ty $=160$MPa $).$ The shaft fixed at one end and subjected to a torgue Tat the other end. The angle of twist is measured between the ends as $=0\mathrm{.}2$rad.

a$)$ Calculate the yield shear strain Y $$

b$)$ Galculate the maximum shear strain $y$ max. $$

c$)$ Determine the radius py to the elastic$-$plastic boundary $$

d$)$ Determine the torque In fif the member hasyielded and then untoaded

e$)$ Determine the residual shearness at $p=5mm$

$0\mathrm{.}001667$ rad

$0,0016774Fd0\mathrm{.}0015$ rad

$0,00225$ rab

$0\mathrm{.}002667$ rad $$

$0\mathrm{.}002$ rad $0\mathrm{.}02667$ rac

$12\mathrm{.}5026$ mm $$

$$

$$ $$6\mathrm{.}6701$mm

$"!$

$-86\mathrm{.}6667M=s1$

$15mm120m\frac{m}{13}mm16mm$