5- Consider a long closed cylindrical shell of length , radius r and small thicknesstunder internal pressure pas shown i

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5 Consider A Long Closed Cylindrical Shell Of Length Radius R And Small Thicknesstunder Internal Pressure Pas Shown I 1 (55.02 KiB) Viewed 50 times

5 Consider A Long Closed Cylindrical Shell Of Length Radius R And Small Thicknesstunder Internal Pressure Pas Shown I 2 (44.67 KiB) Viewed 50 times

5 Consider A Long Closed Cylindrical Shell Of Length Radius R And Small Thicknesstunder Internal Pressure Pas Shown I 3 (44.67 KiB) Viewed 50 times

5- Consider a long closed cylindrical shell of length , radius r and small thicknesstunder internal pressure pas shown in the rigute. (a) Determine, at a point away from me edges, the longitudinal and circumferential stresses and the maximum shear Viess 2r (Ans.: opr/21.0-pot mere modulus E and Poisson's ratio v, determine (b) Assuming that the material has a Young's the change in length and diameter of the tube. (Ans.: A1 = pri 1-2/2Et ad pr(2- ELPE 6- A thin spherical shell has a diameter of 1.2m and is subjected to an internal pressure of 1.5 MPa. Determine the minimum thickness required if the stress is not to exceed 400 MPa. (Ans t = 1.13mm) 7- The cylindrical tank shown is subjected to an internal pressure of 0.6MPa. If the internal diameter of the tank is 0.8m and the wall thickness is 5mm, determine the maximum stress on the surface of the tank. Draw a volume element of the material at this point and show the results on the element. (Ans.: 02 = 24 N/mmcH=48 N/mm) 0.8 m 8- A cylindrical pressure vessel has a diameter of 1 m and length 2m and is subject to an internal pressure of 2 MPa. If the hoop stress is limited to 42 MPa and the longitudinal to 28 MPa: (a) Determine the minimum thickness required for the cylinder wall (b) Calculate the change in volume of the tank at the pressure stated. Let E = 200 GPa & v = 0.3. (Ans:t=23.81 mm. AV = 6.487x10 mm)
5- Consider a long closed cylindrical shell of length , radius r and small thickness t under internal pressure pas shown in the figure. (a) Determine, at a point away from the edges, the longitudinal and circumferential stresses and the maximum shear stress. 2r (Ans.: opr/2t,6c-pri, Pmax=pr/41) (b) Assuming that the material has a Young's modulus E and Poisson's ratio v, determine tube. (Ans.: Al = pr4(1-2 v)/2Et, Ad = pr" (2-v)/EN the change in length and diameter of the ELPE 6- A thin spherical shell has a diameter of 1.2m and is subjected to an internal pressure of 1.5 MPa. Determine the minimum thickness required if the stress is not to exceed 400 MPa. (Ans.: t = 1.13mm )