Applied Structural Integrity

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DETERMINATION OF STRESSES AND STRAINS IN THICK CYLINDER

ABSTRACT
The proposal is to conduct an analysis test to investigate and analyse theoretical and practically experimented results of thick wall cylinder on surface. Under internal and external pressure of a thick wall cylinder produces some stress and strains in wall known as Hoop law and Radial law. The experimental result gained using the lame predictions on computerised machine SM1011 with a thick wall cylinder is fixed on it with required data and the practical resultant values obtained from FINIE ELEMEMT ANALYSIS using cad tool, both analysed values are plotted in single graph or on a table and compared for a better understanding. The calculated results of both the methods are observed and state that the factors that are influencing on thick wall cylinder under hoops and radial stresses.

FACULTY OF COMPUTING, ENGINEERING AND TECHNOLOGY AUTOMOTIVE ENGINEERING

APPLIED STRUCTURAL INTEGRITY
SUBMITTED To PETER OGRODNIK SHAIK.KALLISHA VALLI (ID NO:-10034197) 3/23/2012

DETERMINATION OF STRESSES AND STRAINS IN THICK CYLINDER

2012

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DETERMINATION OF STRESSES AND STRAINS IN THICK CYLINDER

2012

1. NOMENCLATURE FEM H σH σr r A B L σ ε E v ri P ro OD ID 2. INTRODUCTION The usage of these thick walled cylinders is widely in heavy industries under high pressure and temperature conditions either constant or moving situations like power generation, chemical, petroleum etc. Problems may often cause in industries either by ductile fracture or by any material continuity in the geometrical structure .Hoops stress and radial stress are most efficient application to find out final internal pressure out of yield strength in thick walled cylindrical cases. By experimenting thick walled cylinder theoretically and practically we analyse the various factors influencing the material geometry under different conditions. To experiment these situation we have Chosen two different methods, for numerical case we have adopted FINITE ELEMENT METHOD a cad tool and the second one is lame prediction for theoretical method with required equipment. 2.1 LITERATURE REVIEW. The section deals with the work done on the thick walled cylinder under various situations with different geometry conditions. The different  Young’s modulus -68.95GN/m2 Finite Element Method Hoop Hoop stress Radial stress Radial Constant Constant Length Stress Strain Young’s modules Poisson’s Ratio Inner radius Pressure Outer radius Outer Diameter Inner Diameter

geometry conditions are likely 3D, 2D plain strain, Axis symmetric at boundary conditions. 2.2 GEOMETRY PROPERTIES.  Used material       AND MATERIAL Source: http://en.wikiversity.org/wiki/User:Uf.team.aero/H W3 3. METHODS For analysing these experiment we have adopted two separate methods one is theoretical Fig.1 Thick Wall Cylinder

-Duralumin - 203mm

Length of the cylinder

Cylinder outer diameter-150mm Cylinder inner diameter-37mm Maximum test pressure-7MN/m2 Gauges- Electrical resistance Poisson’s ratio - 0.33

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DETERMINATION OF STRESSES AND STRAINS IN THICK CYLINDER

2012

and another is practical to know the best result value. 3.1 THEORETICAL In this experiment the cylinder is made up of given material properties and the apparatus consist of strain gauges this experiment is done on lame predictions. Lame equation can be obtained by subjecting thick wall cylinder to an internal pressure at certain conditions. The lame equation representation is as follows for thick cylinder for Hoop stress and Radial stress 3.1.1 HOOPS LAW Hoops Stress equation The final expression for hoops law and radial law for calculating stresses can be obtained by solving above equations and rewriting as

By using the above equations the experimental values can be calculated for hoops stress and radial Hoops Strain equation stress. 3.1.3 PROCEDURE 1. Firstly switch on the strain gauge let current flow through the pressure gauge for 3.1.2...
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