PLEASE SHOW ALL STEPS FOR 5* A thin walled spherical pressure vessel has the fol

Question

PLEASE SHOW ALL STEPS FOR 5*

A thin walled spherical pressure vessel has the following dimensions: Internal diameter (ID) = 10' Thickness (t) = 0.05' The pressure vessel is to be filled with oil, which would exert an internal pressure of 500 psi on the vessel. Functioning as a design engineer, you are required to select a material for this pressure vessel such that it will not yield in service. Using a factor of safety of 2 and the Von Mises Yield Criterion (VMYC), what yield strength would you recommend for the material to be used in fabricating the pressure vessel? How would your answer in Part a) change, if the Tresca Yield Criterion (TYC) is used in the design? If the material chosen for the pressure vessel exhibits texture hardening, how would your answer in Part a) change? Explain in qualitative terms using a schematic diagram.

Explanation / Answer

Heres my given problem:
Gauge Length = 2 in.
Area = 0.5 in^2

The specimen yields under a load of 32,000 lb
The corresponding gauge length is 2.0083 (the 0.2 yield point)

Max load = 60,000 lb @ gage length = 2.60 in

I need to determine the yield strength, modulus of elasticity, and Tensile strength


This problem has no graph, and this books has no examples


I tried to answer it by having ys= 32,000 lb/ 0.5 in^2 (6.895x10^-3 Mpa / 1 lb/in^2) = 441.28 MPa

e= (2.0083 - 2)/2 =.00415

E = 441.28/.00415 = 106 x 10^3 MPa

TS = 60,000/0.5 in^2 (6.895x10^-3 Mpa / 1 lb/in^2) = 827.4 MPa

Im no too sure about my answers because I cant find where it states explicitly how to get the yield strength or what the it is in terms of a formula

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