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Calculate the principal stresses being exerted within the block of tissue. (You

ID: 2082526 • Letter: C

Question

Calculate the principal stresses being exerted within the block of tissue. (You should use MATLAB; show the MATLAB commands and the MATLAB results that you used to create your answer) D) DETERMINE whether the set of unit vectors produced by MATLAB for part (C) could be used as a right-handed set of coordinates. EXPLAIN how you determined this. E) Based on your MATLAB results, STATE the maximum tensile stress that will be experienced within the block of tissue and STATE on what internal surface that max. tensile stress will appear. (To specify the internal surface, STATE what coordinate axis will be closest to the normal to that surface.) F) Based on your MATLAB results, STATE the maximum compressive stress that will be experienced within block of tissue and STATE on what surface that max. compressive stress will appear. (To specify the internal surface, STATE what coordinate axis will be closest to the to the normal to that surface.) G) CALCULATE the maximum shear stress that will be experienced within the block of tissue. SHOW your work!

Explanation / Answer

clear all
close all
clc
R1=input('Enter the value of R1 : ');
R2=input('Enter the value of R2 : ');
L1=input('Enter the value of L1 : ');
C1=input('Enter the value of C1 : ');
w=input('Enter the value of w : ');
Va=input('Enter the value of Va : ');
Vb=input('Enter the value of Vb : ');
A=[R2+j*w*L1 -R2 -j*w*L1;-R2 R1+R2 -R1;-j*w*L1 -R1 R1+j*w*L1+1/j*w*C1]
B=[Va;-Vb;0];
C=inv(A)*B

Enter the value of R1 : 1
Enter the value of R2 : 1
Enter the value of L1 : 1
Enter the value of C1 : 1
Enter the value of w : 1
Enter the value of Va : 10
Enter the value of Vb : 20

A =

1.0000 + 1.0000i -1.0000 0 - 1.0000i
-1.0000 2.0000 -1.0000
0 - 1.0000i -1.0000 1.0000


C =

0.0000 -10.0000i
-10.0000 -10.0000i
0.0000 -10.0000i

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