SIGMA _1=\frac{PD}{2t}\)Longitudinal stress is, \(\sigma _2=\frac{Pd}{4t}\)Radial stress is, \(\sigma _3=0\)And the Absolute maximum shear stress is, \(\tau _m=\frac{\sigma _1-\sigma _3}{2}=\frac{Pd}{4t}\)Calculation:Given:d = 0.5 × 2 = 1 m = 1000 mm, P = 2 MPA, t = 0.52 - 0.5 = 0.02 m = 20 mm THEREFORE, \({\tau _{max}} = \frac{{2 ~\times~ 1000}}{{4~×~ 20}} = 25\;MPa\)As, in option 25 MPa is not available so we NEED to choose more stress than 25 MPa.

"> SIGMA _1=\frac{PD}{2t}\)Longitudinal stress is, \(\sigma _2=\frac{Pd}{4t}\)Radial stress is, \(\sigma _3=0\)And the Absolute maximum shear stress is, \(\tau _m=\frac{\sigma _1-\sigma _3}{2}=\frac{Pd}{4t}\)Calculation:Given:d = 0.5 × 2 = 1 m = 1000 mm, P = 2 MPA, t = 0.52 - 0.5 = 0.02 m = 20 mm THEREFORE, \({\tau _{max}} = \frac{{2 ~\times~ 1000}}{{4~×~ 20}} = 25\;MPa\)As, in option 25 MPa is not available so we NEED to choose more stress than 25 MPa.

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A thin-walled cylinder with closed ends for which inner radius is 0.50 meter and outer radius is 0.52 meter, is subjected to internal pressure 2 MPa. The absolute maximum shearing stress on the inner surface of the cylinder shall be

Machine Design Cylinder Pressure Vessels in Machine Design 9 months ago

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Concept:Hoop stress is, \(\SIGMA _1=\frac{PD}{2t}\)Longitudinal stress is, \(\sigma _2=\frac{Pd}{4t}\)Radial stress is, \(\sigma _3=0\)And the Absolute maximum shear stress is, \(\tau _m=\frac{\sigma _1-\sigma _3}{2}=\frac{Pd}{4t}\)Calculation:Given:d = 0.5 × 2 = 1 m = 1000 mm, P = 2 MPA, t = 0.52 - 0.5 = 0.02 m = 20 mm THEREFORE, \({\tau _{max}} = \frac{{2 ~\times~ 1000}}{{4~×~ 20}} = 25\;MPa\)As, in option 25 MPa is not available so we NEED to choose more stress than 25 MPa.

Posted on 06 Nov 2024, this text provides information on Machine Design related to Cylinder Pressure Vessels in Machine Design. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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