2.4 Under plane-strain deformation, a line element increases in length by 17% in the X₁ - direction andby 22% in the X₂- direction. What is the percentage increase in length and the rotation of a lineelement originally at 45° to the reference configuration X, and X₂?[Answers: 27%, 2.4" to X₁]

Answered: Image /qna-images/answer/a0cfe13c-c10a-4bcf-9f64-05c609921061.jpg

Answered: on, a line element What is the perce

Engineering

Civil Engineering

on, a line element What is the perce

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter9: Time, Temperature, And Mechanical Properties

Section: Chapter Questions

Problem 9.3P

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Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.

Question

2.4 Under plane-strain deformation, a line element increases in length by 17% in the X₁ - direction and
by 22% in the X₂- direction. What is the percentage increase in length and the rotation of a line
element originally at 45° to the reference configuration X, and X₂?
[Answers: 27%, 2.4" to X₁]

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