Beam diagrams and formulas table 323 continued shears, moments and deflections. Slope of the shear diagram value of applied loading slope of the moment curve shear force both equations not applicable at the point of loading because of discontinuity produced by the abrupt change in shear. However, application of these definitions, developed for a horizontal beam, to a frame structure will require some adjustments. Asstatedearlier,thestressesanddefectionswillbeshowntobefunctionsof and,soit isimportanttobeabletocomputehowthesequantitiesvaryalongthebeamslength. V dmdx higher shear lower shear higher slope lower slope. A hinge b c 4 kn 8 kn x draw a freebody diagram of the portion of the beam to the left of the section and find v and m at the section. But to find the bending moment, you must cut the beam in two. M fr 63 18 knm procedure to find bm at any crosssection in the beam. Pass a section through the beam at a point between the the reaction at b and the hinge. This beam calculator is designed to help you calculate and plot the bending moment diagram bmd, shear force diagram sfd, axial force diagram. Previous definitions developed for shear forces and bending moments are valid for both beam and frame structures. Equation form example 3, page 3 of 6 draw a freebody diagram of the portion of the beam to the left of the section and solve for v and m at the section.