A tension member is made of AISI 1045 steel heat treated to a hardness of HB=400. It has a width of b=120mm and a thickness of t=12mm, and there is an edge crack through the full thickness and extending to a length of a=18mm in the width direction. What is the maximum permissible tension load if a safety factor of 3 against brittle fracture is required? (You may use to simplify the calculation.) (20points)

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)?