Question $2$

a$)$ A spherical gas tank has an inner diameter of $2\mathrm{.}5m.$ If it is subjected to an internal pressure of $p=450$kPa, determine its required thickness if the maximum normal stress is not to exceed $12$MPa.

$(5$marks$)$

b$)$ What is the minimum diameter of a solid steel shaft that will not twist through more than $3$ in a $6-m$ length when subjected to a torque of $12kN*m?$ What maximum shearing stress is developed? Use G $=83$GPa. $(10$marks$)$

$(7+3$ marks $)$

$2$

c$)$ Determine the maximum torque that can be applied to a hollow circular steel shaft if the outside diameter is $120-mm$ and $60-mm$ inside diameter without exceeding shearing stress of $60$MPa or a twist of $0\mathrm{.}5de\frac{g}{m}.$ Use G $=83$GPa and $L=5m.$

$(5+5$ marks$)$