Figure 4The gas tank shown in Figure 4 is made from A-36 steel and has an inner diameter of 1.50 m.The tank should withstand a gauge pressure of p-5 MPa. Apply a F.S.=1.5 against yielding.a. Express the hoop stress and the longitudinal stress as functions of the thickness t.Assume that the vessel is thin-walled.b. Determine the required minimum wall thickness to the nearest mm using themaximum-shear-stress theory. Neglect the radial stress, assuming that the vessel issubjected to a biaxial stress.c. Prove that the designed by the maximum-shear-stress theory vessel is thin-walled.d. Determine the required minimum wall thickness to the nearest mm using themaximum-distortion-energy theory. Neglect the radial stress, assuming that the vesselis subjected to a biaxial stress.e.Prove that the designed by maximum- distortion-energy theory vessel is thin-walled.f. Assume that the vessel has thickness t designed by maximum-distortion-energytheory. Take an infinitely small volume element centered at a point on the interiorwall of the vessel. Denote that point as A. Calculate and depict all stresses acting onthe walls of that element including the radial stress. Classify the state of stress at 4.

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The gas tank shown in Figure 4 is made from A-36 steel and has an inner diameter of 1.50 m The tank should withstand a gauge pressure of p-5 MPa. Apply a F.S.=1.5 against yielding. a. Express the hoop stress and the longitudinal stress as functions of the thickness t. Assume that the vessel is thin-walled. b. Determine the required minimum wall thickness to the nearest mm using the maximum-shear-stress theory. Neglect the radial stress, assuming that the vessel is subjected to a biaxial stress. c. Prove that the designed by the maximum-shear-stress theory vessel is thin-walled.

The gas tank shown in Figure 4 is made from A-36 steel and has an inner diameter of 1.50 m The tank should withstand a gauge pressure of p-5 MPa. Apply a F.S.=1.5 against yielding. a. Express the hoop stress and the longitudinal stress as functions of the thickness t. Assume that the vessel is thin-walled. b. Determine the required minimum wall thickness to the nearest mm using the maximum-shear-stress theory. Neglect the radial stress, assuming that the vessel is subjected to a biaxial stress. c. Prove that the designed by the maximum-shear-stress theory vessel is thin-walled.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.32P

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