Class MECH$1234$

Fall $2024$

Homework $4$

due

$12/20/$

$9\mathrm{.}6$ Determine the stresses in the two segments of the bar shown. Segment A has a diameter of $1\frac{1}{4}in.$ and segment $B$ has a cross section $2$ in $.$ by $2$ in $.$

II

$9\mathrm{.}12$ The $\frac{3}{7}-$in$.-$diameter bolt shown is subjected to a $6000-lb$ tensile load. The bolt passes through $a\frac{3}{4}$ in$.$ thick plate. Compute $($a$)$ the tensile stress in the bolt

$($b$)$ the shear stress in the head of the bolt

$10\mathrm{.}25$ A pair of wire cutters is designed to operate under a maximum $35$ lb force applied, as shown. Determine the required diameter of the pin $($to the next higher $\frac{1}{32}in.).$ The allowable shear stress in the pin is $12,000.$

$11\mathrm{.}15$ For the short column shown, assuming that lateral buckl is prevented:

$($a$)$ Calculate the magnitude of the axial load $P$ that will ca the total length of the member to decrease by $0\mathrm{.}01$ in $.$

$($b$)$ Calculate the compressive stress in the steel.