Civil and Environmental Engineering 2220A/B Study Guide - Final Guide: Centroid, Fiction Collective Two, Buckling

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For simple compressions members (as are found in trusses and stuff), failiure is initiated by either. Failiure of the cross-section at some limiting stress. In order for a compression member to be successfully analysed, the line of action must pass through the centroid of the member. In a truss, the connections at the joints are constructed so that the lines of actions of each member (which pass through the centroids) coincide. These materials fail by shearing on a plane oriented 45o to the line of action of the applied forces. The conditions are readily drawn on a mohr"s circle. Maximum = fc/2 at 45o to principal compression stress. If shear strength is less than half the uniaxial compressive strength, failiure occurs by shearing. Ductile materials also shear at a 45o angle, except the bulge gradually instead of bursting rapidly like brittle materials. For fibrous materials (like wood), this happens along a compression crease where all fibres buckle together.

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