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Thick Cylinder Study 2-Stress and Strain in Mechanical Engineering-Lab Report, Exercises of Mechanical Engineering

This lab report is related to Stress and Strain in Mechanical Engineering. It was submitted to Prof. Ahmad Alvi at Aligarh Muslim University. It includes: Stress, Hoop, Longitudnal, Pressure, Gradient, Strain, Guage, Spherical, Portion, Shell

Typology: Exercises

2011/2012

Uploaded on 07/16/2012

sangha
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Download Thick Cylinder Study 2-Stress and Strain in Mechanical Engineering-Lab Report and more Exercises Mechanical Engineering in PDF only on Docsity! Abstract: In this experiment the thick cylinder study has been conducted by determining the strains related to selected points on the surface of thick cylinder. Main purpose of this experiment was to study the behavior of thick cylinder under different internal pressure conditions. The strain gauge was placed under the gauge at 30o. It means that in our case: Z=0 Θ = 30o Introduction: When thick walled tube or cylinder is subjected to internal pressure stresses are produced in wall which causes strains in it. There are two types of stresses produced in cylinder wall. Hoop stress and longitudinal stress. The longitudinal stress is parallel to axis of cylinder and hoop cylinder is along circumference. Thick cylinders are different form thin cylinders in following ways.  In thin cylinders the hoop stresses are assumed to be constant across the thickness of cylinder wall.  In thin cylinders there is no pressure gradient across the wall.  In thick cylinders neither of these assumptions can be used. Relations for strains are given as follows: docsity.com ε1 = 1/2(εa+ εc) + 1/2[(εa- εc) 2 + (2 εb- εa - εc) 2]1/2 ε2 = 1/2(εa+ εc) – 1/2[(εa- εc) 2 + (2 εb- εa - εc) 2]1/2 Tan 2Ф = (2 εb- εa - εc)/ (εa- εc) Procedure: 1. First the strain gauge was placed on thick cylinder. 2. The Pressure gauge(z=0) at 30o angle as required for the experiment. Where z was the distance between strain gauge and pressure gauge. 3. The mechanism for internal pressure in thick cylinder was also set up. 4. Then procedure of increasing the pressure was started. The strains εa produced in cylinder was sensed by strain gauge and indicated on strain indicator. 5. Strain produced was noted after every 50 psi increase in pressure. 6. Then after changing the gauge, εb and εc were also noted using the same procedure. Calculations were then performed to determine ε1, ε2 and angle Ф form above relations. 7. The experimentally determined results were then compared with theoretically calculated results. Observations and Calculations: docsity.com
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