Shear and Moment Diagrams. Shear Force Diagram (SFD): Plots internal shear force vs position. Bending Moment Diagram (BMD): Plots internal bending moment vs position. Both represent internal effects resulting from external loads. \(dM/dx = V\).
The cumulative effect of external loads as a function of position along the element
The direct measure of material strength
The displacement of a beam under load
The shear force distribution along the beam
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Solution and Explanation
In structural analysis, particularly for beams, the bending moment at any cross-section is the algebraic sum of the moments caused by all external forces (loads and reactions) acting on one side of that section. The bending moment diagram (BMD) is a graph that plots the value of this internal bending moment as a function of position along the length of the structural element (e. g. , beam). It visually represents how the internal bending moment, which arises as a cumulative effect of the external loads and reactions, varies along the member. Material strength is a material property. Displacement relates to deflection. Shear force distribution is shown by the Shear Force Diagram (SFD).