Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
4. Consider a unit cube of a solid occupying the region 0 ≤ x ≤ 1,0 ≤ y ≤ 1,0 ≤z ≤ 1, After loads are applied, the displacements are given by u, = ax, u, = By, u₂ = 0. a. Sketch the deformed shape for a = 0.03, B = -0.01 b. Calculate the six strain components. c. Find the volume change AV = V- Vo for this unit cube. d. For the above case show that exx + eyy + ezz = AV.

4. Consider a unit cube of a solid occupying the region 0 ≤ x ≤ 1,0 ≤ y ≤ 1,0 ≤z ≤ 1, After loads are applied, the displacements are given by u, = ax, u, = By, u₂ = 0. a. Sketch the deformed shape for a = 0.03, B = -0.01 b. Calculate the six strain components. c. Find the volume change AV = V- Vo for this unit cube. d. For the above case show that exx + eyy + ezz = AV.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
4. Consider a unit cube of a solid occupying the region 0 ≤ x ≤ 1,0 ≤ y ≤ 1,0 ≤z ≤ 1, After loads are applied, the displacements are given by u, = ax, u, = By, u₂ = 0. a. Sketch the deformed shape for a = 0.03, B = -0.01 b. Calculate the six strain components. c. Find the volume change AV = V- Vo for this unit cube. d. For the above case show that exx + eyy + ezz = AV.
Transcribed Image Text:4. Consider a unit cube of a solid occupying the region 0 ≤ x ≤ 1,0 ≤ y ≤ 1,0 ≤z ≤ 1, After loads are applied, the displacements are given by u, = ax, u, = By, u₂ = 0. a. Sketch the deformed shape for a = 0.03, B = -0.01 b. Calculate the six strain components. c. Find the volume change AV = V- Vo for this unit cube. d. For the above case show that exx + eyy + ezz = AV.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Properties of materials
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.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS