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Chapter 12: Stress Transformations
M12.6: Derivation of Stress Transform Equations
ntz Coordinate System
Introduction
Table of Contents
Normal Stress Equilibrium Considerations
Shear Stress Equilibrium Considerations
τ
xy
= τ
yx
ntz Coordinate System
Areas of the Triangular Stress Element
Free-Body Diagram of Triangular Stress Element
σ
n
Stress Transformation Equation
τ
nt
Stress Transformation Equation
Transformation Equations in Terms of Double Angles
Finished
scene
6
of
12
We will assume that the stresses
σ
x
,
σ
y
, and
τ
xy
at a point are known.
