These instructions will help you to calculate and draw shear and bending moment diagram, as well as draw the resulting deflection. Knowing how to calculate and draw these diagrams are important for any engineer that deals with any type of structure because it is critical to know where large amounts of loads and bending are taking place on a beam so that you can make sure your structure can ...
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ture of the beam, are zero at both ends of the beam, and also at a point E located at x = 4 m. Between A and E the bending moment is positive and the beam is concave upward; between E and D the bending moment is negative and the beam is concave downward (Fig. 8.3c). We also note that
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A beam is a key structural member used in most constructions. As such, the analysis of a beam under loading is of utmost importance. If a beam is supported at two points, and a load is applied anywhere on the beam, the resulting deflection can be mathematically estimated using the bending equation. Such estimation is based on certain assumptions
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4.6 Deflections in Simply Supported Beams Using Area-Moment Method The deflection δ at some point B of a simply supported beam can be obtained by the following steps. 1. Compute 2. Compute 3. Solve δ by ratio and proportion (see figure above).
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Simply supported beam with uniformly distributed load. Simply supported beam AB simply supported at the ends A and B. Let the span of the beam L and carrying a concentrated load W at mid span. Simply supported beam with varying load. A simply supported beam AB of span L carrying a load whose intensity varies uniformly from zero at each end to w ...
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For the bending moment diagram, the axis has units of force times length, and for the shear force diagram, the axis has units of force. To find the deflection at any location along the beam, move the mouse to the location over the deflected beam curve. The small blue ball on the deflection curve indicates the location of the maximum deflection.