Given: A cube of material with side dimension b=1.0 m and resting (in equilibrium) on a frictionless rigid surface and is subjected to the evenly distributed surface tractions shown below. The material is known to be isotropic and linear elastic with Poisson's ratio v=0.30 and bulk modulus K=100,000 MPa. Note that the front and back z faces are traction free, and gravitational loads can be neglected. y Т-500 MPа, Т,-1,000 МРа, Т,30 Т-0, Т,%3500 МРа, Т,-0 Т-0, Т,3-500 МРа, Т,-0 Required: a) List the field equations that must be satisfied at every point in the body. b) List the boundary conditions that must be satisfied at every point on the surface of the body. c) Assume that the equilibrating tractions on the bottom surface are evenly distributed and predict the state of stress at every point within the body. d) Calculate the strain at every point in the body.
Given: A cube of material with side dimension b=1.0 m and resting (in equilibrium) on a frictionless rigid surface and is subjected to the evenly distributed surface tractions shown below. The material is known to be isotropic and linear elastic with Poisson's ratio v=0.30 and bulk modulus K=100,000 MPa. Note that the front and back z faces are traction free, and gravitational loads can be neglected. y Т-500 MPа, Т,-1,000 МРа, Т,30 Т-0, Т,%3500 МРа, Т,-0 Т-0, Т,3-500 МРа, Т,-0 Required: a) List the field equations that must be satisfied at every point in the body. b) List the boundary conditions that must be satisfied at every point on the surface of the body. c) Assume that the equilibrating tractions on the bottom surface are evenly distributed and predict the state of stress at every point within the body. d) Calculate the strain at every point in the body.
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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