1.66. The stresses (in megapascals) with respect to an x, y, z coordinate system are described by o, = x? + y, o, = y - 5, o: = -x + 6y + z Tay = T = 7 = 0 At point (3, 1, 5), determine (a) the stress components with respect to x', y', z' if V3 V3 4 = 1, m2 = , n2 and (b) the stress components with respect to ", y", z" if 4 = 2/V5, m, = -1/V5, and n, = 1. Show that the quantities given by Eq. (1.29) are invariant under the transformations (a) and (b). %3D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

Hello, the question I have attached is on the book "Advanced Mechanics of Materials and Applied Elasticity, 5th edition, Ansel Ugural". The question is in the first chapter, 66th question. I will be glad to be answered, thanks a lot!

1.66. The stresses (in megapascals) with respect to an x, y, z coordinate system
are described by
o, = x? + y,
o, = y - 5,
o: = -x + 6y + z
Tay = T = 7 = 0
At point (3, 1, 5), determine (a) the stress components with respect to
x', y', z' if
V3
V3
4 = 1,
m2 = ,
n2
and (b) the stress components with respect to ", y", z" if
4 = 2/V5, m, = -1/V5, and n, = 1. Show that the quantities given by
Eq. (1.29) are invariant under the transformations (a) and (b).
%3D
Transcribed Image Text:1.66. The stresses (in megapascals) with respect to an x, y, z coordinate system are described by o, = x? + y, o, = y - 5, o: = -x + 6y + z Tay = T = 7 = 0 At point (3, 1, 5), determine (a) the stress components with respect to x', y', z' if V3 V3 4 = 1, m2 = , n2 and (b) the stress components with respect to ", y", z" if 4 = 2/V5, m, = -1/V5, and n, = 1. Show that the quantities given by Eq. (1.29) are invariant under the transformations (a) and (b). %3D
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Knowledge Booster
Elastic Constants and Their Relationship
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY