Homework_4

Homework_4 - AE 321 Homework 4 Due in class on September 27...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
AE 321 Homework 4 Due in class on September 27 1. Assume that the stress state everywhere in the interior of a body is given in Cartesian coordinates by: σ ij [] = P 00 0 P 0 P KPa Note: This stress state is called isotropic or hydrostatic. (a) Does this stress state satisfy equilibrium? (b) Show that the normal stresses are – P and the shear stresses vanish for any other Cartesian coordinate system. (c) What are the principal stresses for this stress state (everywhere in the body)? (d) Consider a cube of a material subjected to a uniform external pressure P on all sides as shown below (e.g. by submerging the cube in water). Does the above stress state satisfy the boundary conditions (i.e. Cauchy’s equation) on all external surfaces of the cube? 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2. The stress tensor at a point P in a material is given by: σ ij [] = 311 102 120
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

Homework_4 - AE 321 Homework 4 Due in class on September 27...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online