have a rectangular bar that is 8 mm in width and depth 1 e it has a square cross section that is made from steel Young s modulus of elasticity E 200 GPa You also have a displacement transducer that can measure displacements in the range of 0 1 5 mm Answer the following questions a What is the largest force you can measure using this rectangular piece of steel considering that you don t want to exceed 50 of the yield strength i e maximum stress of 250 MPa ISA ID ALI20 b You want a transducer that can measure forces applied in one direction only What length of bar should you use so that you can measure a compressive load of 5 kN with maximum resolution For this problem assume you have maximum resolution if 5 kN of applied force causes deformation of 1 5 mm How much Force measurement uncertainty do you have when the deflection measurement is y 0 2 mm Assume the modulus and displacement are known exactly but the two bar dimensions diameter and length are only known with an accuracy of 2 of their nominal values Give your answer as a