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QUESTION 3 (TZU marks) subjected an internal gauge modulus of elasticity of 210 GPa and a A closed cylindrical pressure vessel illustrated in the figure below is pressure of 5.0 MPa. The vessel is made of steel with a Poisson's ratio of 0.29. A delta strain gauge rosette, attached to the external surface of a closed cylindrical pressure vessel measures the following strains a 74 x 10-6 10-6 E60 246 x 248 x 10 E120 Determine the strain components &, &, and from the strain gauge measurements. a) Determine values for o, G and from the strain components in part (a). b) c) Calculate values for the hoop and longitudinal stress using thin-walled pressure vessel theory d) Based on global maximum shear stress. e) your results in part (c), determine the maximum in-plane shear stress and the to the maximum shear stress theory and the What are the factors of safety according maximum distortion energy theory of failure? Take the yield strength of the material as 250 MPa. 1,5 m 60 120 400 mm t 12.5 mm Q3. (a) 74 x 10, 305 x 105, -2.3 x 10-6: (b) 37.2 MPa, 74.8 MPa, -0.19 MPa; (c) 75 MPa, 37.5 MPa; (d) 18.75; 37.5 MPa; (e) 3.33, 3.85

Answer 1

) Givea Eo 74106 -L a93 248X10 & ro Now - 6 74X10 Now, Eco EtyExEy en1e 2- Yny gin 120 2- 246X1D 2 Xo 2 X 2 237.5x10-4 + E20 Exty ysiy CoA 240

frorn and (i 304.6 10 C - 2- 3 Hoy E HO E o.23 abe Now fm 33 2 MPa

di uhaep 5mf hoarsr 2t di do-2t400-2X12- hoop 5X 3 2 X12 Pdi Fryihudinat S393.5M dNow Maimum inplane shean whe dine tE-st 2. Masium 23 M

2 MPa Ae to Mo hear res Pheory max 125Ha Now Fos Tmax 12 335 3.32 AMe to Max da huha enny peory

fos L lo), fos dt(o5tt6tE-s 3.8S fos
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