L27_ PressureVessels-fall 10

L27_ PressureVessels-fall 10 - EAS 209-Fall 2010...

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Unformatted text preview: EAS 209-Fall 2010 Instructors: Christine Human 11/1/2010 1 Lecture 27- Pressure Vessels Lecture 27 Pressure Vessels Pressure vessels are storage containers for gases or liquids under pressure, such as a helium tank or a boiler. Pressure vessels are widely used in industry so this topic has direct applications. Of great importance is the maximum internal pressure that the pressure vessel can withstand. Todays Objective: Examine how the internal pressure causes stresses in the walls of the vessel. We will examine only cylindrical and spherical thin-walled vessels. Todays Homework: EAS 209-Fall 2010 Instructors: Christine Human 11/1/2010 2 Lecture 27- Pressure Vessels Pressure vessels are known as shell structures. For a thin-walled vessel the ratio of the inside diameter to the wall thickness should be > 10. Spherical Vessel Consider a spherical vessel of inner radius r and wall thickness t containing a fluid under gage pressure p . Due to symmetry, the forces on all faces of an element must be equal The stresses on the spherical wall can be determined by passing a section through the center of the sphere as shown above. Summing forces in the x direction Internal radius t pr 2 2 1 2 2 2 r p rt F x (since the wall is thin, we can approximate the area of the cut section by rt 2 ) EAS 209-Fall 2010 Instructors: Christine Human 11/1/2010 3 Lecture 27- Pressure Vessels For spherical vessels, Mohrs circle for in-plane transformations reduces to a point Because of symmetry, no matter what the orientation of the element in a sphere, it will always have the same normal stress and no shear....
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L27_ PressureVessels-fall 10 - EAS 209-Fall 2010...

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