Interactive 2D Beam Solver

shear · moment · slope · deflection

Model & diagrams

Support reactions

Summary

Values at a section

Sign convention — you type loads positive downward and moments positive clockwise; a negative number flips them. In the diagrams, positive V rotates the segment clockwise and positive M bends it concave upward (sagging), with v positive upward. Inside, the solver uses x right, y up, counter-clockwise, so dV/dx = q and dM/dx = V hold with q positive upward. Analysis is Euler–Bernoulli (bending only, shear deformation neglected), small displacements, linear elastic.