Lecture Jan 22 2014 - 1. In the posted handout Analysis of...

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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.
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