Engineering Solvers Directory
Analytical calculation engines built for practicing engineers, researchers, and engineering students. Every solver includes governing physical equations, worked step-by-step examples, and design code references.
Civil & Structural Engineering
Beam deflections, bending moments, column buckling, and 2D stress transformation analyzers.
Beam Deflection & Bending Stress Analyzer
Calculate reaction forces, maximum deflection, shear force (SFD), and bending moment diagrams (BMD).
Euler Column Buckling & Critical Load Solver
Compute critical buckling load (Pcr), slenderness ratio (λ), and critical stress across pinned, fixed, and free end conditions.
Mohr's Circle 2D Stress Transformation Calculator
Calculate principal normal stresses (σ₁, σ₂), maximum in-plane shear (τmax), principal angle, and interactive circle plot.
Fluid Dynamics & Hydraulics
Darcy-Weisbach pipe friction, Reynolds number flow regimes, and pump sizing calculators.
Darcy-Weisbach Pipe Flow & Friction Factor Solver
Calculate Colebrook-White friction factor, Reynolds number, head loss, and pressure drop in closed conduits.
Centrifugal Pump Head & Motor Power Calculator
Determine Total Dynamic Head (TDH), hydraulic power, brake horsepower (BHP), and grid electrical power demand.
Mechanical & Machine Design
Shaft torsional stresses, bolt preloads, tightening torques, and gear ratio calculations.
Shaft Torsion & Angle of Twist Calculator
Calculate transmitted torque, polar moment of inertia, surface shear stress, and angular twist for solid or hollow rotating shafts.
Bolt Preload & Tightening Torque Calculator
Determine target clamp load, tensile stress area, and required tightening torque for ISO Metric and Grade 5/8 fasteners.
Electrical Power & Systems
AC & DC voltage drop, 3-phase line impedance, and NEC cable ampacity sizing.
Thermodynamics & Heat Transfer
Multi-layer composite wall heat conduction, thermal resistance, and overall U-values.
Applied Mathematics & Calculus
Quadratic equations, systems of linear equations, matrix determinants/inverses, and numerical integration.
Quadratic Equation & Parabola Vertex Solver
Calculate real and complex roots, discriminant (Δ), axis of symmetry, and vertex coordinates (h, k) with step-by-step derivation.
System of Linear Equations Solver (2×2 & 3×3)
Solve simultaneous linear equations using Cramer's Rule and determinant evaluation with full step-by-step KaTeX breakdown.
Matrix Operations & Determinant / Inverse Solver
Compute determinant, matrix inverse (A⁻¹), transpose (Aᵀ), and trace for 2×2 and 3×3 square matrices.
Numerical Integration Solver (Simpson's & Trapezoidal)
Evaluate definite integrals numerically using Simpson's 1/3 Rule and Trapezoidal Rule with step-by-step quadrature.