Civil and Environmental Engineering 2202A/B Lecture Notes - Lecture 9: Plane Stress, Trigonometry, Hypotenuse

• School: Western University
• Department: Civil and Environmental Engineering
• Course: Civil and Environmental Engineering 2202A/B
• Professor: Dr. M.L. Nehdi

Document Summary

Derive equations for transforming stress components between coordinate systems of different orientations. Used derived equations to obtain the maximum normal and point maximum shear stress at a (point) element. Discuss a method for determining the absolute maximum shear stress at a point when material is subjected to plane and 3-dimensional states of stress. So like, figure out a way to do #2 when it"s not a point load but rather a distributed load (in a plane or in 3d) Recall that the general state of stress at a point is characterized by 6 independent normal and shear stress components. In practice, approximations and simplifications are done to reduce the stress components to a single plane. The material is said to be subjected to plane stress. For this general state of plane stress at a point, we represent it via normal-stress components, x.