3. stress tensor [ksi]: The three-dimensional state of stress at a point 40 10 -18] 10 Tij 10 20 15 IK
3. stress tensor [ksi]: The three-dimensional state of stress at a point 40 10 -18] 10 Tij 10 20 15 IK
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter13: Structures
Section: Chapter Questions
Problem 5PP
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Question
Answer part b please
![3.
stress tensor [ksi]:
The three-dimensional state of stress at a point is given by the the
Tij
=
10 -18
40
10 20 15
-18 15 14
a) Write a Matlab script called hmk5_3.m that defines the matrix oij and solves for the
eigenvalues and eigenvectors using the Matlab eig() command (display each output).
b) The eigenvalues represent the principle stresses and the eigenvectors represent the
direction of each principle stress. Using Matlab plot each principle stress as a vector
from the origin in x,y,z space. Hint: Use the Matlab command quiver3() and specify
the first point as the origin. quiver3(0,0,0,i,j,k)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18fe6d10-65c6-4dea-a463-83c487832ab0%2Fec16dc89-762e-476c-9cff-2f8e2564d9c5%2Fw673t7k_processed.png&w=3840&q=75)
Transcribed Image Text:3.
stress tensor [ksi]:
The three-dimensional state of stress at a point is given by the the
Tij
=
10 -18
40
10 20 15
-18 15 14
a) Write a Matlab script called hmk5_3.m that defines the matrix oij and solves for the
eigenvalues and eigenvectors using the Matlab eig() command (display each output).
b) The eigenvalues represent the principle stresses and the eigenvectors represent the
direction of each principle stress. Using Matlab plot each principle stress as a vector
from the origin in x,y,z space. Hint: Use the Matlab command quiver3() and specify
the first point as the origin. quiver3(0,0,0,i,j,k)
Expert Solution
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The answer provided below has been developed in a clear step by step manner.
Please upvote :) clc;clear all;format compact sigma=[40 20 -18;20 28 12;-18 12 14];
%%Given stress tensor pStress=eig(sigma) %Finds the principal stresses which are the eigen values largestStress=max(pStress) %Finds the largest principal stress
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