We would like to bolt the cantilevered beam to the column using a bolt pattern with two bolts. We are considering two possibilities: The bolts will be arranged in-line vertically, 5 inches apart, centered in the 6x6 in box, or, the bolts will be arranged in-line horizontally, 5 inches apart, centered in the 6x6 in box. Determine if one of the arrangements is preferable. Prove your point. You can do this by calculating the worst shear stress on a bolt in each case and selecting the case with the lesser shear stress.

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)?