### Educational Resource: Analysis of a High-Strength Steel Cylindrical Tank**Problem Statement:**A high-strength steel cylindrical tank with a diameter of 6 inches is subjected to the following conditions:- Internal gas pressure: 600 psi- External tensile load (T): 12,000 lbThe yield strength of the material used for the tank is 30,000 psi. The cross-sectional area of the tank can be approximated as $2 \pi r t$, where $r$ is the radius and $t$ is the thickness of the tank. Given that the wall thickness of the tank is 0.1 inches, determine the factor of safety of the design with respect to the distortional energy theory. Additionally, illustrate the solution using a yield envelope.**Diagram Explanation:**The diagram below the text illustrates a cylindrical tank with arrows labeled $T$ at both ends, denoting the external tensile load applied to the tank. The cylinder's design is typical of a pressurized tank, showing the load distribution along its axis.**Note:**The factor of safety is an essential consideration in engineering design, ensuring the structure can withstand specified loads under various conditions safely and effectively.Please refer to additional resources for specific calculations and methodologies on how to determine the factor of safety using the distortional energy theory, which is typically represented on a yield envelope chart.

Answered: F 12,000 lb. The yield strength of the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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### Educational Resource: Analysis of a High-Strength Steel Cylindrical Tank

**Problem Statement:**

A high-strength steel cylindrical tank with a diameter of 6 inches is subjected to the following conditions:

- Internal gas pressure: 600 psi
- External tensile load (T): 12,000 lb

The yield strength of the material used for the tank is 30,000 psi. The cross-sectional area of the tank can be approximated as $2 \pi r t$, where $r$ is the radius and $t$ is the thickness of the tank. Given that the wall thickness of the tank is 0.1 inches, determine the factor of safety of the design with respect to the distortional energy theory. Additionally, illustrate the solution using a yield envelope.

**Diagram Explanation:**

The diagram below the text illustrates a cylindrical tank with arrows labeled $T$ at both ends, denoting the external tensile load applied to the tank. The cylinder's design is typical of a pressurized tank, showing the load distribution along its axis.

**Note:**

The factor of safety is an essential consideration in engineering design, ensuring the structure can withstand specified loads under various conditions safely and effectively.

Please refer to additional resources for specific calculations and methodologies on how to determine the factor of safety using the distortional energy theory, which is typically represented on a yield envelope chart.

Expert Solution

Step 1: Write the given data with suitable variables-

$p equals 600 space psi T equals 12000 space lb sigma subscript y equals 30000 space psi t equals 0.1 space in$

Area is-

$table row A equals cell 2 pi r t end cell row blank equals cell 6.28 cross times 3 cross times 0.1 end cell row blank equals cell 1.885 space in squared end cell end table$

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