Problem $2$: $($hoop stresses $-$ easier problem$)$ Below is a gas pipeline. It is close$-$ended

cylinder with a defined cross$-$section below. The length of the pipe is $40$ ft $.$ Answer the

following questions:

a$)$ Is this a thick or thin$-$walled cylinder?

b$)$ Solve for the stresses due to internal pressure:

c$)$ Are these principal stresses calculated in part b$?$

Given

$P_i$:$=100*$

$P_0$:$=0*$

$d_i$:$=6\mathrm{.}065*in{n}_i$:$=\frac{d_i}{2}$

$t$:$=0\mathrm{.}28*in,$

$d_0$:$=d_i+2*t,d_o=6\mathrm{.}625*in$

$d_N$:$=40*ft,$

ANSWERS for calculations for checking work:

${}_t=1\mathrm{.}083{10}^3*$

${}_r=0$