Pressure Vessel lab report

Pressure Vessel lab report ORDER NOW FOR CUSTOMIZED AND ORIGINAL ESSAY PAPERS ON Pressure Vessel lab report Hi, The all files have been uploaded of related lab report. Pressure Vessel lab report Steps of report: 1- Abstract 2- Introduction 3- Methods 4- Analysis 5- Discussion attachment_1 attachment_2 WIDENER UNIVERSITY School of Engineering Department of Mechanical Engineering ME 303 – Mechanical Measurements Laboratory I EXPERIMENT #6 – COMBINED STRESSES IN A PRESSURE VESSEL INTRODUCTION Consider a thin-walled cylindrical pressure of inside radius r and wall thickness t subjected to internal pressure ???. Since thin walls offer little resistance to bending, it may be assumed that the internal forces exerted on a given portion of wall are tangent to the surface of the vessel. Thus, the resulting stresses on an element of wall will be contained in a plane tangent to the surface of the vessel. Because of the axisymmetry of the vessel and its contents, no shearing stress is exerted on the element of the wall with sides respectively parallel and perpendicular to the axis of the cylinder (Figure 1). Figure 1: Free-body diagram illustrating hoop stress and longitudinal stress in a thin-walled pressure vessel. For pressure only The normal stresses, ??$ (hoop stress) and ??% (longitudinal stress), are given by: ??$ = (???)?? ?? ??% = (???)?? 2?? / Note that thicker walled vessels, using the mean radius of the wall, ??- = ?? + % gives a more accurate measure of the stress. However, in this lab, we will use r. 1 Using Hooke’s Law, the stress-strain relations are ??% = 1 (?? ? ????$ ) ?? % ??$ = 1 (?? ? ????% ) ?? $ Since ??$ = 2??% , ??% 1 ? 2?? = ??$ 2??? Therefore, the Poisson ratio is given by ??= ??$ ? 2??% 2??$ ? ??% and the Young’s modulus is given by ??= ??% ??% (1 ? 2??) 2 For pressure and torque Figure 2: 60 degree rosette configuration The strain along the q direction is related to the normal and shear stresses in the xand y-directions are related by ??5 = ??6 cos % ?? + ??; sin% ?? + ??6; sin ?? cos ?? Use this expression for the three strain gauges above to derive an expression for ??6; ?6@ ??6; = ??(??$ , ??% , ??C ) The experimental value of the applied torque is ?? ?6@ = ?? ?6@ ?? ??F 6; where ??= ?? J?? L ? ??ML N 32 F ?6@ ?6@ ??6; = ????6; The theoretical value of the applied torque is ?? /P = ?? × ?? where, F is the force exerted on the piston and a is the lever arm. 3 EXPERIMENT Objectives 1. Determination of the normal stresses in a cylindrical pressure vessel 2. Determination of the material properties for the material of the vessel 3. A comparison of the calculated and measured stresses on the surface of the cylindrical vessel subjected to a torque while pressurized Equipment 1. Technovate Stress Analysis System Model 9800 2. National Instruments Digital Data Acquisition System The system consists of a thin-walled cylindrical vessel made of a light alloy and sealed at both ends, and a pump. The cylinder filled with fluid is subjected to internal pressure and axial torque. Pressure Vessel lab report The unit is equipped with a 90°-rosette and a 60°-rosette with one gage (#3) parallel to the cylinder’s longitudinal axis (Fig. 2), and located on the side closest to the pump. The 90°-rosette is used to measure longitudinal (#4) and hoop (#5) strains. The 60°- rosette is used to determine the hoop shear strain, hence – the torsional shear stress, and then – the applied torque. Specifications of the system: Variable Wall thickness Outer diameter Pump piston diameter Level arm Shear Modulus Poisson ratio Symbol T Do D A G n Value 0.125 in 4.0 in 1.125 in 7.875 in 4.7 x 106 psi 0.3 Procedure Part 1. a) Connect the strain gages (#4 and #5) to the strain gauge amplifier and calibrate. b) Apply pressure to the vessel in increments of 50 psi up to a maximum of 200 psi, and record corresponding readings of the longitudinal (#4) and hoop (#5) strains both while loading and unloading Part 2. a) Applying both pressure and torque, record the readings from the 60°-rosette (gages #1, #2 and #3) using pressure increments of 50 psi up to a maximum of 200 psi. 4 Results Part 1 a) Determine the longitudinal and hoop stresses corresponding to each value of the applied pressure (eqs. (1) and (3)). b) Determine the Poisson ratio for each value of p then vave . Based on vave calculate exp E corresponding to each value of p, and then Eave, and Gave. Compare experimental values of v, E and G with given values. Part 2 a) Determine the shear strain and stress, and the torque corresponding to each value of the applied pressure. b) Calculate the theoretical value of the applied torque corresponding to each value of the applied pressure. c) Compare the values of the torque obtained in (a) and (b), calculate percent difference. Report In the report include a brief description of the experiment, experimental data, results, error analysis and discussion Include derivation of the experimental shear strain and sa mple calculations in the Appendix. Re fe re nce : F.P. beer and E.R. Johnston – “Mechanics of Materials”, McGraw – Hill 1992. 5 Date: Team: ME 303 Mechanical Measurements I Experiment # 6 COMBINED STRESSES IN A PRESSURE VESSEL EXPERIMENTAL DATA Part 1. Applied pressure only – 90° rosette e x 10-6 p[psi] e L (#4) Load eH Unload Load (#5) Unload 50 100 150 200 Part 2. Pressure and Torque applied – 60° rosette e x 10-6 p[psi] #1 #2 50 100 150 200 6 #3 … Get a 10 % discount on an order above $ 100 Use the following coupon code : NURSING10