Two metal plates are held together with a $\backslash (1/4-20\backslash )$ bolt $-$ as shown in the cross$-$sectional schematic below.

The following information is known about the bolt and the clamped joint:

The bolt is SAE grade $7,$

The bolt length is fully threaded,

The nut is a standard nut of SAE grade $7$ material,

The bolt is to be torqued to $\backslash (75\backslash \%\backslash )$ of Proof Strength, and

The stiffness of the clamped members is $\backslash (2\backslash$times $10^\{6\}\backslash$mathrm$\{$lb$\}/\backslash$mathrm$\{$in$\}\backslash ).$

Please find the following:

The bolt preload force,

The bolt preload stretch $($deflection$),$

The nominal bolt torque,