Consider the figure shown below: B' A In its undeformed state the assembly is represented by A-B-C-D, with theta = 0.53 in radians. The deformed shape is: A'-B´-C'-D. The deformation is such that the normal strain in AB is: €AB = 0.033 and that in CB is: ECB=0.031. Calculate the normal strain in BD (correctly up to four decimal places) neglecting the higher-order contributions due to the normal strains in AB and CB.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.5.4P: An element of a material is subjected to plane stresses as shown in the figure. The stresses o,...
icon
Related questions
Question

In its undeformed state the assembly is represented by A-B-C-D, with theta = 0.53 in radians. The deformed shape is: A’-B’-C’-D. The deformation is such that the normal strain in AB is: ϵAB = 0.033 and that in CB is: ϵCB=0.031. Calculate the normal strain in BD (correctly up to four decimal places) neglecting the higher-order contributions due to the normal strains in AB and CB.

Consider the figure shown below:
B'
In its undeformed state the assembly is represented by A-B-C-D, with theta = 0.53 in radians. The deformed shape is: A'-B'-C'-D. The
deformation is such that the normal strain in AB is: EAB = 0.033 and that in CB is: eCB=0.031. Calculate the normal strain in BD (correctly up to
four decimal places) neglecting the higher-order contributions due to the normal strains in AB and CB.
Estimated Time: 8-10 min
Answer:
Transcribed Image Text:Consider the figure shown below: B' In its undeformed state the assembly is represented by A-B-C-D, with theta = 0.53 in radians. The deformed shape is: A'-B'-C'-D. The deformation is such that the normal strain in AB is: EAB = 0.033 and that in CB is: eCB=0.031. Calculate the normal strain in BD (correctly up to four decimal places) neglecting the higher-order contributions due to the normal strains in AB and CB. Estimated Time: 8-10 min Answer:
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Strain Transformation
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
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