Problem 6-4 A compound cylinder is made by shrinkage an outer tube on to an inner tube, the final dimensions being, external di- ameter 25 cm, internal diameter 15 cm and diameter at the junction of tubes, 20 cm. If the common radial pressure between the two tubes due to shrinkage be 17 MPa, determine the circumferential stresses at inner and outer diameters of both cylinders and shown by means of a diagram how these stresses vary with the radius. 77.44 80 60 60.44 40 20 7.5 10 12.5 r, (cm) - 40 - 60 - 60.71 - 77.71 Hoop stress, MPa 20

Problem 6-4 A compound cylinder is made by shrinkage an outer tube on to an inner tube, the final dimensions being, external di- ameter 25 cm, internal diameter 15 cm and diameter at the junction of tubes, 20 cm. If the common radial pressure between the two tubes due to shrinkage be 17 MPa, determine the circumferential stresses at inner and outer diameters of both cylinders and shown by means of a diagram how these stresses vary with the radius. 77.44 80 60 60.44 40 20 7.5 10 12.5 r, (cm) - 40 - 60 - 60.71 - 77.71 Hoop stress, MPa 20

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 8.3.1P: A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer...

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A fire extinguisher tank is designed for an internal pressure of 825 psi. The tank has an outer diameter of 4.5 in. and thickness of O.OS in. Calculate the longitudinal stress, the circumferential stress, and the maximum shear stresses (out-of-plane and in-plane) at the outer surface of the tank.
The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.
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‘7.3-11 The stresses on an element are sx= -300 psi and sy= 600 psi. Find the maximum shear stresses on the element and show them on a sketch of a properly oriented clement.
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