Resulting internal forces and stresses have been established. To this point, only relationships between the load on a beam and the (3.72) and (3.76) apply to the region of the beam between the concentrated loads.īeam Deflections. When concentrated loads act on a beam, Eqs. This equation indicates that the rate of change in shear at any section equals the load per unit length at that section. Note that when the internal shear acts upward on the left of the section, the shear is positive and when the shear acts upward on the right of the section, it is negative. Figure 3.26b shows the resulting internal forces and moments for the portion of beam dx shown in Fig. A similar relationship exists between the load on a beam and the shear at a section. Indicates that the shear force at a section is the rate of change of the bending moment. The relationship between shear and moment identified in Eq.
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