1
EMAE 370 Class lecture for Wednesday January 22 after quiz
1.4 The Stress Tensor – Stress Vector Relationship
In the posted handout “Analysis of Stress” Chapter
‐
2, see page
‐
47 with Figs. 2
‐
5,
2
‐
6, 2
‐
7. Shown at a point on three mutually perpendicular planes are the stress
vectors (Fig. 2
‐
5), the corresponding normal and shear stress components of
those stress vectors (Fig.2
‐
6) and the stress vector on any arbitrary plane at the
same point. Simply by applying static force equilibrium at the point
0
F
for the
infinitesimal tetrahedron, it shows that from the stress vectors on any three
mutually perpendicular planes at a point, the stress vector (and its normal &
shear stress scalar components) can be determined for any other arbitrary plane
at the point.
Given that result, it therefore follows that from the stress vectors on any three
mutually perpendicular planes at a point, the stress vectors (and their normal &
shear stress scalar components) can be determined for any other three mutually
perpendicular planes at that point.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '14
 Howard Staunton, mutually perpendicular planes, stress vectors

Click to edit the document details