Engineering Resources & Knowledge Center
Free calculation tools, structural mechanics guides, and derivation tutorials to support your engineering journey.
Engineering Calculators
Beam Calculator
General beam solver for point loads, UDL, and overhangs.
Cantilever Beam Calculator
Fixed-end cantilever analysis for point loads and uniform distributed loads.
Simply Supported Beam Calculator
Pinned-roller span with midspan deflection and peak bending moments.
Bending Moment Diagram (BMD)
Inflection points, zero-shear crossings, and peak bending moments.
Shear Force Diagram (SFD)
Shear jump discontinuities, distributed load slopes, and reaction shears.
Beam Deflection Calculator
Elastic curve deflection v(x) via double integration & Macaulay method.
Moment of Inertia Calculator
Second moment of area for I-beams, T-sections, and composite geometry.
Mechanics & Derivation Guides
How to Draw Shear Force Diagrams
Equilibrium equations, sign conventions, and shear force jumps.
Structural Mechanics TutorialHow to Draw Bending Moment Diagrams
Constructing BMD from SFD curves and locating maximum moments.
Structural Mechanics TutorialMacaulay’s Method for Beam Deflection
Singularity functions, double integration, and evaluating constants.
Structural Mechanics TutorialMoment of Inertia & Parallel Axis Theorem
Second moment of area, centroid determination, and flexural rigidity.