Question: QUESTION 2 During preparation for a mechanical stress relief test of a pressure vessel, rectangular strain gauge rosettes were fixed on the surface near

QUESTION 2 During preparation for a mechanical stress relief test of a

QUESTION 2 During preparation for a mechanical stress relief test of a pressure vessel, rectangular strain gauge rosettes were fixed on the surface near the manhole of the vessel as shown in Figure Q2 (a). The vessel is then pressurized and one of the gauge rosette at the critical measured the following strain: = 440, = 510 and = 340 (see Figure Q2 (b) for rosette configuration). Given that E = 100 GPa and v=0.33 for the vessel. Determines; a) The strain components Ex, y and at the rosette location and sketch of the deformed x-y element (3 marks) b) Principal strains 1, 2 and 3, and absolute maximum shear strain/max (5 marks) c) Determine the principal stresses and the maximum in-plane shear stress (2 marks) Pressure vessel Strain gauges y (circumferential direction) 45 45 Manhole 45 strain rosette Figure Q2 (a) Figure Q2 (b) x (longitudinal direction)

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