b) An infinitely small element consists of forces in two mutually 10 perpendicular plane as shown in figure. Determine the normal and shearing stress on the inclined plane at an angle 30° with the vertical. Also calculate principal stresses their directions and maximum shear stress. 30MPa 30MPa 50 MPa 30° 50MPa 30MPa 6. 30MPa​

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)?