Thick Cylinder Lab Report

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Thick Cylinders Lab Report
Design Analysis 2
FOA: Dr Tony Murmu
Submission Date: 18th December 2015
B00259331

Aim

The purpose of this experiment was to determine the distribution of stress in a thick cylinder when subjected to internal pressure. This experiment aids the understanding of how a cylinder withstands internal pressures and how the behaviour of stresses varies at different points along the cylinder radius.
Theory

Using Lame's equations for a thick cylinder subjected to an internal pressure, the following equations, based on pressure and geometry, may be obtained to calculate hoop and radial stresses:

σθ= PK2-1(1+ R22r2)

σr= PK2-1(1- R22r2)
Where:

P = Internal pressure
R1 = Internal radius of the cylinder R2 = External radius of the cylinder K = R2R1 r = Radius to selected strain gauge

Furthermore, equations based on material properties and experimental values may be used to calculate hoop and radial stresses: σθ=E1-v2(εθ+vεr) σr= E1- v2(εr+vεθ) Where: E = Modulus of elasticity v = Poisson’s ratio εθ= Hoop Strain εr= Radial Strain

Apparatus * “TQ” SM1011 Thick Cylinder * PC with “VDAS” software The SM1011 consists of an aluminium alloy cylinder where the two halves are firmly locked together and held using two circular, steel diaphragms. One face of the joint (at right angles to the longitudinal axis) between the two halves has a shallow groove turned eccentrically to the bore which contains ten active strain gauges (5 hoop, 5 radial) fixed as shown in Figure 1. The cylinder can be subjected to various internal pressures using the hand wheel attached. Cylinder Specifications: Dimensions (mm): 203(L); 150(ID); 37(OD) Material: Aluminium alloy HE15 Properties: E = 73.5GN/m2 v = 0.33

Figure 1: Location of…...

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