Along and narrow rectangular plate carries a non uniform loading p = p0 sin (πy/b) and is clamped at edges y = 0 and y = b. (a) derive an expression for the deflection surface w. (b) determine the maximum deflection and maximum strain. (c) find the radius of curvature at y = b/3 by taking b = 0.6 m, t = 15 mm, e = 200 gpa, ν = 1/3, and pp0 = 50 kpa. (hint: =)) 2.

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)?