A rectangular plate is subjected to uniform biaxial stress with ox= 90 MPa (tension), oy = -20 MPa (compression), and o₂ = 0. The plate has original dimensions 400 X 800 X 200 mm (x X y X z) and is made of steel with E = 200 GPa and v = 0.3. What are the strains Ex, Ey, and Ez?

A rectangular plate is subjected to uniform biaxial stress with ox= 90 MPa (tension), oy = -20 MPa (compression), and o₂ = 0. The plate has original dimensions 400 X 800 X 200 mm (x X y X z) and is made of steel with E = 200 GPa and v = 0.3. What are the strains Ex, Ey, and Ez?

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...

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Finite element procedure and modelling

Finite element method (FEM) is a mathematical technique that primarily implements the numerical approach and finds approximate solutions to the engineering problems. The finite element method is widely used in many civil engineering applications, especially in the domain of structural mechanics to find solutions to partial differential equations (PDEs), which governs the motion of structures under external influences like loads.

Question

Please show intermediate steps including free diagrams, equations used, and problem setup, so that your approach can be followed.

A rectangular plate is subjected to uniform biaxial stress with ox = 90 MPa (tension), oy = -20 MPa (compression),
and O₂ = 0. The plate has original dimensions 400 X 800 X 200 mm (x X y X z) and is made of steel with E = 200 GPa and
v = 0.3.
What are the strains Ex, Ey, and Ez?

In Problem 4 what is the volumetric strain, E, and the total change in volume of the plate?

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