Problem $2$: A steel SAE Grade $5,1/2$ in$.-13$ UNC bolt is

used in a $8$ quantity bolt pattern to clamp two steel

members together in order to resist a total $60,000lb$

external tensile load. The Grade $5$ bolt has threaded and

unthreaded portions of grip as illustrated $($total $1\mathrm{.}7in.$ grip$).$

The combined member stiffness $(k_m)$ is $5\mathrm{.}7{10}^{6}lb\frac{f}{i}n.$

Consider the bolt pattern to be a nonpermanent

connection. The Modulus of Elasticity $=30{10}^6.$

Required:

a$.(10)$ Determine the actual Bolt Stiffness $(k_b)$ for this application.

a$.(5)$ Calculate the appropriate Bolt Preload $(F_i)$ per bolt in units of lbf for this

application.

b$.(10)$ Calculate the Bolt Load $(F_b),$ which includes preload, that each bolt will

experience in this application.

c$.(5)$ Calculate the Preload Torque $($in$-$lbf$)$ per bolt $($using the Table $8-15$ Torque

Coefficient$)$ that you would specify on an installation drawing involving this $8$

quantity bolt pattern for this application. Assume the bolt and nut are both

nonplated, black finish according to Table $8-15.$ Pg$,450$

d$.(5)$ Calculate the Bolt Yielding Factor of Safety $(n_P)$ for this application.