A5/8-in.-diameter steel rod ab is fitted to a round hole near end c of the wooden member cd. the ultimate strength of the wood used is 8 ksi in tension and 1 ksi in shear, while the ultimate shear strength of the steel is 22 ksi. determine (a) the factor of safety for the pin, (b) the average bearing stress in the wood, (c) the required value of b if the factor of safety for the wooden member in shear is 3.0, (d) the maximum average normal stress in the wood.

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)?