Part A) A 2D sheet is subjected to the following traction vectors (all vectors have the same magnitude 7). 1) Find the corresponding 2D stress tensors a. 2) For the case b), compute the principal stress values and the principal stress directions of a.

Part A) A 2D sheet is subjected to the following traction vectors (all vectors have the same magnitude 7). 1) Find the corresponding 2D stress tensors a. 2) For the case b), compute the principal stress values and the principal stress directions of a.

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

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Solve both parts A,B. Should correct.

Part A) A 2D sheet is subjected to the following traction vectors (all vectors have the same magnitude 7).
1) Find the corresponding 2D stress tensors a.
2) For the case b), compute the principal stress values and the principal stress directions of a.
Part B. Consider the motion:
X2, X2
b)
Compute and sketch the configuration at time t-1 for a body which, at t=0, has the shape of a cube of unit
sides as shown below
C
* = X-tX₁₂
B
A
X1, X1

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