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A Thin-Walled Spherical Tank Has a Diameter of 0 20MPa20 \mathrm { MPa }

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A thin-walled spherical tank has a diameter of 0.75 m and an internal pressure of 20 MPa. The yield 20MPa20 \mathrm { MPa } stress in tension is 920 MPa, the yield stress in shear is 475 MPa, and the factor of safety is 2. 475MPa475 \mathrm { MPa } of elasticity is 210  GPa, \text { GPa, } Poisson's ratio is 0.28, and maximum normal strain is 1220×1061220 \times 10 ^ { - 6 } The minimum permissible thickness of the tank is approximately:
 A thin-walled spherical tank has a diameter of 0.75 m and an internal pressure of 20 MPa. The yield  20 \mathrm { MPa }  stress in tension is 920 MPa, the yield stress in shear is 475 MPa, and the factor of safety is 2.  475 \mathrm { MPa }  of elasticity is 210  \text { GPa, }  Poisson's ratio is 0.28, and maximum normal strain is  1220 \times 10 ^ { - 6 }  The minimum permissible thickness of the tank is approximately:    A)   8.6 \mathrm {~mm}  B)   9.9 \mathrm {~mm}  C)   10.5 \mathrm {~mm}  D)   11.1 \mathrm {~mm}


Definitions:

Tire Pressures

The measure of air pressure within a tire, typically measured in pounds per square inch (PSI) or bar, important for vehicle safety and efficiency.

Normal Distribution

A probability distribution that is symmetric about its mean, indicating that data near the mean are more frequent in occurrence.

Chi-squared Distribution

A statistical distribution characterized by degrees of freedom, used in hypothesis testing for categorical variables and in determining chi-squared test results.

Confidence Intervals

A numerical interval, associated with a specific likelihood, expected to encompass the actual value of an unidentified population statistic.

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