A3/8-in × 2-in aisi 1018 cold-drawn steel bar is cantilevered to support a static load of 550 lbf as illustrated. the bar is secured to the support using two 3/8 in-16 unc sae grade 4 bolts. assume the bolt threads do not extend into the joint. find the factor of safety for the following modes of failure: shear of the bolt, bearing on the bolt, bearing on the member, and bending of the member. give the overall joint factor of safety.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?