3. Given the following stress functions, = 3x² + 3y² − σ₁ = 3y² o₂ = 3x+y-z+ 6x = -Z Tay=z-6xy-² T₁₂ = x+y= ²/ Tyz=0 (a) show that the above stress state is in equilibrium (b) for the stress state at point x = 1/2, y = 1, and z = 3/4, determine the principal stresses.
3. Given the following stress functions, = 3x² + 3y² − σ₁ = 3y² o₂ = 3x+y-z+ 6x = -Z Tay=z-6xy-² T₁₂ = x+y= ²/ Tyz=0 (a) show that the above stress state is in equilibrium (b) for the stress state at point x = 1/2, y = 1, and z = 3/4, determine the principal stresses.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
100%

Transcribed Image Text:3. Given the following stress functions,
σ¸ = 3x² +3y² − z
σ₁ = 3y²
o₂ = 3x + y −z + ¾
Ty=z-6xy-³
Txz = x+y= ²³/
Tyz = 0
(a) show that the above stress state is in equilibrium
(b) for the stress state at point x = 1/2, y = 1, and z =
stresses.
3/4, determine the principal
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
Recommended textbooks for you


Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning


Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning

Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education


Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning