Problem $2$

The weldment shown in the figure is subjected to a force. The hot$-$rolled steel bar has a thickness h and is of AISI $1010$ steel. The vertical support is likewise AISI $1010$ HR steel. The electrode is E$6010.$ h$=5//16$in$,$b$=$d$=2$in$.$

$($a$)$ If this force is a static load F$,$ find its maximum value to prevent yielding $($consider weld and steel bar$).$

$($b$)$ If this force varies from $0$ to F$,$ find the maximum F to prevent the fatigue failure $($consider weld$).$

ANSWERS: a$)16\mathrm{.}25$kips b$)9\mathrm{.}154$ kips

Hints:

In part $1,$ consider the safety factor under shear or tension for the both the bar and the welding material. Look at the configuration and you can see see which is which. For shear: n$=$yield stress in shear$/$applied shear stress, yield stress in shear$=0\mathrm{.}577$ yield stress. For tensile: n$=$yield stress$/$applied stress. Then solve for the force and select the smaller value.$$