![]() In this section, we will be focusing on the methods used to generate the plots for the internal shearing forces, and the internal bending moments. The internal shearing forces (V) and the internal bending moments (M) act in the plane of the cross sections we are taking. By plotting out the internal forces and moments, we will be able to more easily identify these maximum internal loads and we can design the beam accordingly to withstand these loads. In complex loading situations, such as the loads on this horizontal ceiling beam, it may be difficult to know where the internal forces and internal moments will be greatest. As a trade off however, we will need to plot out each type of internal load separately (one plot for internal axial forces, one for internal shear forces, one for internal torques, and one for internal bending moments). ![]() This may be useful in complex loading scenarios where it may not be obvious where the maximum internal forces or internal moments exist. Where equilibrium analysis is the most straightforward approach to finding the internal forces and moments at one cross section, the graphical approaches are the most straightforward approaches to find the internal forces or the internal moments across the entire length of a beam, shaft, or other body. As an alternative to splitting a body in half and performing an equilibrium analysis to find the internal forces and moments, we can also use graphical approaches to plot out these internal forces and moments over the length of the body. ![]()
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