Evaluatembysummingall momentsaboutthesectionedend

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Unformatted text preview: ure ► ► ► ► ► ► ► Determine support reactions (FBD). Draw V vs. x and M vs. x axis under FBD. Section the beam at various values of x and draw FBD for the section. Evaluate V by summing all forces perpendicular to x axis. Evaluate M by summing all moments about the sectioned end of segment. Plot on graph (pay attention to sign convention). Repeat for new position. Graphical Method for V And BM Diagrams Graphical Method for V And BM Diagrams ► Consider the following element from a beam with arbitrary loading. Shear and Bending Moment Diagrams Shear and Bending Moment Diagrams ► Slope of moment diagram at each point is the value (+ or ­) of the shear. ► Slope of the shear diagram at each point is the opposite sign of the distributed load intensity at each point. Shear and Bending Moment Evaluation Shear and Bending Moment Evaluation ► We integrate the loading and shear diagrams to determine the changes in shear and bending moment. ► Note: if w(x) is a curve of degree n, then V(x) will be a curve of degree n+1. Note: if V(x) is a curve of degree n, then M(x) will be a curve of degree N+1. ► Regions of Concentrated Force and Moment Regions of Concentrated Force and Moment ► ► ► ► The application of a concentrated force causes a discontinuity in the shear diagram of magnitude F. Downward force equals negative jump in shear. The application of a concentrated moment causes a discontinuity in the BM curve of magnitude M . Clockwise...
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This note was uploaded on 02/04/2014 for the course MECH 260 taught by Professor Stephenribarits during the Fall '13 term at University of British Columbia.

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