You are to design a force transducer based on a cantilever beam subject to an end load. Assume the beam is rectangular in cross section and that redundant strain gauges are placed at (x = L/ 2, y = ± h/ 2). Find a formula for selecting the value of Young’s modulus E if the maximum allowable measured strain ε xx is ε o (i. e., find E in terms of, possibly, ε o , L, h, b, P, etc.). Note that Popov (1999) is a nice introduction to mechanical engineering applications of strength of materials such as this problem.