For tension loads, the bending moment, slope and deflection decrease with increasing tension. All distances are measured from the left end of the beam.īeam end types include: free fixed (cantilever), guided fixed, pinned fixed, fixed fixed (built in or fixed), pinned pinned (simply supported), and guided pinned beam ends.Ĭombined loads include axial loads, point loads, distributed loads, weight loads, concentrated moments, angular displacements, lateral displacements, and uniform temperature gradient.įor beams with compressive axial loads the bending moment, slope and deflection tend to infinity as the axial load tends to the buckling load. The beam end conditions are of the form left end - right end (for example Pin-Fix is left end pinned and right end fixed). For combined loads, the shear force, bending moment, slope and deflection are assumed to be additive. The calculations are not valid past the beam end points. The Euler Bernoulli beam equation is suitable for slender beams (it does not include the effect of shear), and for small angles (θ < 0.5 rad). Calculate beam bending shear force, bending moment, slope and deflection for pipe beams using the Euler Bernoulli beam equation.
