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

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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