A clevis$-$type hanger supports a pipe with an

outside diameter of $230mm$ as shown in the

figure. The Hanger Rod has a diameter of $10\mathrm{.}5$

mm$.$ The Bolt connecting the Top Yoke and the

Bottom Strap has a diameter of $14\mathrm{.}5$ mm $.$ The

Bottom Strap is $7$ mm thick by $54$ mm wide by

$950$ mm long. The weight of the pipe is $9600$

N$.$ Determine the following:

a$)$ The normal stress in the Hanger Rod

${}_{\text{r}\text{o}\text{d}}=,|MPa||$

One possible correct answer is: $110\mathrm{.}87$

b$)$ The average shear stress in the Bolt

${}_{\text{b}\text{o}\text{l}\text{t}}=\frac{,}{M}Pa$

One possible correct answer is: $29\mathrm{.}07$

c$)$ The bearing stress in the Bottom Strap $($at

the bolt$-$strap joint$)$

${}_b=,$MPa

One possible correct answer is: $47\mathrm{.}29$

d$)$ The normal stress in the Bottom Strap $($at

any solid section$)$

${}_{\text{s}\text{t}\text{r}\text{a}\text{p}}=$

MPa

One possible correct answer is: $12\mathrm{.}7$

e$)$ The maximum normal stress in the Bottom

Strap $($at the critical section taken in the

strap$)$

$({}_{\text{s}\text{t}\text{r}\text{a}\text{p}}{)}_{\text{m}\text{a}\text{x}}=$

MPa

One possible correct answer is: $17\mathrm{.}36$

f$)$ The bearing stress in the Bottom Strap $($at

the pipe$-$strap joint$)$

${}_b=,$ MPa