HW_Tutorial_Solution_5_Sp_2011

HW_Tutorial_Solution_5_Sp_2011 - Homework Tutorial # 5 with...

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Homework Tutorial # 5 with Solutions MME 412: Advanced Mechanics of Materials Spring 2011 - 1 - The following problems are for self practice. You do not have to submit it but it is your responsibility to solve it, review the available solution and verify your solutions 1. Problem 5.71 (Use MATLAB to Plot the Solution) MATLAB Simulation Problem 5.71 Clear the work space clear all; close all; clc; Given Physical Parameters Inner radius of the cylinder (in m) ri=400e-3/2 ri = 0.2000 Outer radius of the cylinder (in m) ro=500e-3/2 ro = 0.2500 Internal Pressure (Pa) ip=500e3
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Homework Tutorial # 5 with Solutions MME 412: Advanced Mechanics of Materials Spring 2011 - 2 - ip = 500000 External Pressure (Pa) op=0 op = 0 Stress distribution in the thick cylinder subjected to internal pressure only r=[ri:5e-3:ro]'; Radial Stress (Equation 5.8-12) sr=( (ip*ri*ri)- (op*ro*ro) + ( ((ri*ro./r).^2)* (op-ip) ) )/(ro^2-ri^2); Tangential Stress (Equation 5.8-13) st=( (ip*ri*ri)- (op*ro*ro) - ( ((ri*ro./r).^2)* (op-ip) ) )/(ro^2-ri^2); Plotting the tangential and radial stress response in the thick cylinder figure(1) plot(r,st,r,sr) xlabel('Radial distance (in m)') ylabel('Stresses (in Pa)') legend('Tangential','Radial') grid on
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Homework Tutorial # 5 with Solutions MME 412: Advanced Mechanics of Materials Spring 2011 - 3 - 2. Problem 5.75 (Use MATLAB to Plot the Solution)
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Homework Tutorial # 5 with Solutions MME 412: Advanced Mechanics of Materials Spring 2011 - 4 - MATLAB Simulation Problem 5.75 Clear the work space clear all; close all; clc; Given Physical Parameters Modulus of elasticity of the outside cylinder (in psi) Eo=30e6 Eo = 30000000 Poisson’s Ratio of the outside cylinder muo=0.29 muo = 0.2900 Modulus of elasticity of the inside cylinder (in psi) Ei=30e6 Ei = Poisson’s Ratio of the inside cylinder mui=0.29 mui =
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Homework Tutorial # 5 with Solutions MME 412: Advanced Mechanics of Materials Spring 2011 - 5 - Inner radius of the inside cylinder (in inches) a=1/2 a = 0.5000 Outer radius of the inside cylinder and inner radius of the outside cylinder (in inches) b=1.5/2 b = 0.7500 Outer radius of the outside cylinder (in inches) c=2/2 c = 1 Shrinking allowance (interference) between the inside and outside cylinder (in inches) del=2.057e-3 del = 0.0021 Internal pressure in the multilayer vessel ip=5000 ip = 5000 Calculation of interference pressure between the two cylinders (in psi) intp=del/(b* ( ((1/Eo)*(((c^2+b^2)/(c^2-b^2))+muo)) + ((1/Ei)*(((b^2+a^2)/(b^2-a^2))-mui)) ) ) intp = 1.3332e+004 First consider a thick cylinder with internal radius a and outside radius c subjected to internal pressure only r=[a:0.001:c]'; rr=r; sz=length(r); ri=a; ro=c; ip=ip; op=0; sr=( (ip*ri*ri)- (op*ro*ro) + ( ((ri*ro./r).^2)* (op-ip) ) )/(ro^2-ri^2); st=( (ip*ri*ri)- (op*ro*ro) - ( ((ri*ro./r).^2)* (op-ip) ) )/(ro^2-ri^2);
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This document was uploaded on 11/04/2011 for the course MME 512 at Miami University.

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HW_Tutorial_Solution_5_Sp_2011 - Homework Tutorial # 5 with...

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