COE 3001 Lecture Notes - Lecture 10: Plane Stress, Abscissa And Ordinate
23 Nov 2016
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Document Summary
Previously we defined the stress transformation equations using the conditions of equilibrium to determine the stresses acting on oblique planes in plane stress. The transformation equations for plane stress show that the normal stresses and the shear stresses vary continuously as the ases are rotated through the angle . If we use pyragothean"s thereom, we can state based on tan 2! The quantity r is positive and has units of stress. We can instead represent the transformation equations graphically using a plot known as mohr"s circle. Graphically visualize relationsihps between the normal and shear stresses acting on various inclined planes at a point in a stressed body. Also provides a means for calculating principal stresses, maximum shear stresses, and stresson on inclined plantes. If instead we consider these equations and eliminate by transposing ( x+ y)/2 in x" and squaring both members of both equations and add them together, we get.
