A spherical pressure vessel is formed of 16-gauge (0.0625-in) cold-drawn AISI 1020 sheet steel. If the vessel has a diameter of 15 in, use the distortion-energy theory to estimate the pressure necessary to initiate yielding. What is the estimated bursting pressure

Explanation:

FromTable A - 20; the values of yield strength and tensile strength are derived by using the "Deterministic ASTM Minimum Tensile and yield strength for some Hot-Rolled (HR) and Cold - Drawn (CD) steels for cold drawn AISI 1020 sheet steel:

We calculate the ratio of the radius in relation to the thickness of the spherical vessel by using the formula:

Since the fraction from the ration is higher than 1°, then the shell can be regarded to be a thin spherical shell.

From here; we estimate the tensile stress induced by using the formula:

Therefore; the tensile stress is equal to the stress-induced in the transverse direction; i.e.

Thus, since

Then the radial stress

By the application of Von Mises Stress; the resultant stress can be estimated as follows:

Then: by relating the Von Mises stress at yield condition:

P = 0.934 kpsi

P = 934 psi

Hence, the pressure at the yield condition is 934 psi

Similarly, relating Von Mises stress at the rupture condition

68 = 61 P

P = 1.11 kpsi

Hence, the pressure at rupture condition is 1.11 kpsi

unlike the threaded fasteners which are used to clamp the machine members, power screws are used to transmit power. common applications of power screws are: screw jacks: to lift weight. lead screw of lathe: for axial movement of tool and its precise positioning.