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Question 1 The cylindrical pressure vessel shown has an inside diameter of 625 mm and a wall thickness of 5 mm. The cylinder is made of an aluminum alloy that has an elastic modulus of E = 70 GPa and a shear modulus of G-26.3 GPa. Two strain gages are mounted on the exterior surface of the cylinder at right angles to each other; however, the angle θ is not known. If the strains measured by the two gages are Ea-370 με and Eb-530 με, what is the pressure in the vessel? Notice that when two orthogonal strains are measured, the angle θ is not needed to determine the normal stresses. 90° Part 1 Based on the information provided in the problem statement, determine the sum of the normal strain components ετ and με the tolerance is +/-590There is a coordinate system shown in the figure with the problem statement, with its origin at a point on the surface of the cylinder. The x axis is in the direction of the longitudinal axis of the cylinder, and the y axis is in the circumferential direction. Determine the normal stress components, σί and σ), in terms of the pressure, p, in the vessel▼ Part3 Your answer is correct. etermine Poissons ratio for the material. V331 the tolerance is +/-5%Part 4 Determine the normal strain components, ex and £, in terms of the pressure, p, in the vessel. In the calculations, assume the pressure, p, is in units of MPa, and the normal strains are in με.▼ Part 5 ® The sum, er + ε is a known quantity. Also, the individual strain components, ex and Ey, have been determined in terms of the pressure, p. Be careful with units. Determine the pressure, p, in the vessel 1.004 . MPa the tolerance is +/-5%

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