A compressed-air tank has an inner diameter of 450 mm and a uniform wall thickness of 6 mm. Knowing that the pressure inside the tank is 1.2 MPa, determine the equivalent stress at points "a" and "b" on the top of the tank. For each point draw an appropriate stress element. A 750 mm 500 mm D a 5 kN 750 mm B
A compressed-air tank has an inner diameter of 450 mm and a uniform wall thickness of 6 mm. Knowing that the pressure inside the tank is 1.2 MPa, determine the equivalent stress at points "a" and "b" on the top of the tank. For each point draw an appropriate stress element. A 750 mm 500 mm D a 5 kN 750 mm B
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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Transcribed Image Text:**Compressed-Air Tank Analysis**
A compressed-air tank has an inner diameter of 450 mm and a uniform wall thickness of 6 mm. Given that the pressure inside the tank is 1.2 MPa, determine the equivalent stress at points “a” and “b” on the top of the tank. For each point, draw an appropriate stress element.
**Diagram Explanation:**
The diagram shows a cylindrical tank with several forces and dimensions:
- The tank is oriented horizontally with two points labeled “a” and “b” along its length.
- Points “a” and “b” are positioned toward the top surface of the tank.
- The tank has a length measurement indicated as 750 mm and an unspecified length extending further back.
- A force of 5 kN is applied downwards at point D, which is 500 mm from the end of the tank.
- The diameter of the tank is shown as extending to both sides from its center axis for clarity, and there are forces presumably acting on these circumferential dimensions, given the cylindrical nature and internal pressure.
- At both ends of the tank are end caps marked “A” and “B” that help in further analysis.
The primary task involves calculating the stresses due to the pressure, then illustrating these stresses in a stress element for points "a" and "b".
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