= 2. (18 Points) Two strain gages are mounted on a 16 oz can of Red Bull (223 calories, 148 mg caffeine) with internal cylindrical dimensions of R 1.1875 in and height H=6.52 in. The wall thickness of the aluminum (EM 107 psi) is assumed 0.005 in. One 120 2 gauge aligned axially to measure the longitudinal stress while a 350 gage is mounted tangentially to measure hoop stress (see figures below). Determine the stress and strain of the aluminum in both directions as well as the change in voltage each strain gage would have on a Wheatstone quarter-bridge with 10 V excitation voltage. Assume that the gage factor is 2.07 and the internal pressure is 36 psi at temperature 27 C. Hint: The hoop stress is twice the axial stress since the radial pressure will have a component acting with the form P sin(0)rde integrated over a portion of the circle. Bottom of Soda Can Longitudinal Stress Hoop Stress Internal Pressure Extra Credit: (4 Points) What would be the output voltage if both gages were mounted in a half-bridge on A.) on opposite sides or B.) adjacent sides of the circuit? You may assume any other resistances necessary to complete the circuit.