Mechanics Calculator

  • Stress Calculator
    Calculate mechanical stress (σ = F / A) from applied force and cross-sectional area. Get results in pascals, kPa and MPa instantly.
  • Shear Wave Velocity Calculator
    Calculate shear wave velocity (Vs) from shear modulus and density using Vs = √(G/ρ). Fast, accurate seismic and material velocity tool.
  • Shear Modulus Calculator
    Calculate shear modulus (modulus of rigidity, G) from shear stress and strain, or from Young's modulus E and Poisson's ratio ν.
  • Shear Stress Calculator
    Calculate shear stress (τ) from shear force and cross-sectional area using τ = F / A. Get results in Pa, kPa, and MPa instantly.
  • Section Modulus Calculator
    Calculate the section modulus (S = I / c) of a beam cross-section from its moment of inertia and distance to the extreme fiber. Free online tool.
  • Principal Stress Calculator
    Calculate principal stresses σ₁ and σ₂, maximum shear stress, and principal angle from σx, σy, and τxy using the 2D plane stress equations.
  • Natural Frequency Calculator
    Calculate the natural frequency of a spring-mass system from stiffness k and mass m. Get frequency in Hz, angular frequency, and period instantly.
  • Hoop Stress Calculator
    Calculate hoop (circumferential) stress in a thin-walled pressure vessel or pipe from internal pressure, diameter and wall thickness. Free and instant.
  • Elongation Calculator
    Calculate the axial elongation (ΔL) of a bar under tension using ΔL = FL / (AE) from force, length, area, and Young's modulus.
  • Poisson's Ratio Calculator
    Calculate Poisson's ratio from lateral and axial strain using ν = −ε_lateral / ε_axial. Free, instant, dimensionless results for materials engineering.
  • Factor of Safety Calculator
    Calculate the factor of safety (FoS) from ultimate or yield stress divided by allowable stress. Free engineering safety factor calculator with margin of safety.
  • Bulk Modulus Calculator
    Calculate the bulk modulus (K) of a material from pressure change, initial volume, and volume change using K = -V·(ΔP/ΔV). Free physics tool.
  • Buckling Load (Euler) Calculator
    Calculate the Euler critical buckling load of a column from modulus E, moment of inertia I, length L and end condition factor K. Free engineering tool.
  • Angle of Twist Calculator
    Calculate the angle of twist of a shaft under torsion using φ = TL/(JG). Enter torque, length, polar moment of inertia, and shear modulus.
  • Critical Damping Calculator
    Calculate the critical damping coefficient c꜀ = 2√(km) and damping ratio ζ = c/c꜀ for a spring-mass-damper system. Free online physics tool.
  • Newton's Second Law Calculator
    Calculate net force with Newton's Second Law, F = m·a. Enter mass (kg) and acceleration (m/s²) to instantly find the force in newtons.
  • Net Force Calculator
    Calculate the net force from up to three aligned forces and find the resulting acceleration using Newton's second law (F = m·a).
  • Normal Force Calculator
    Calculate the normal force on an object resting on a flat or inclined surface using N = m·g·cos(θ). Enter mass, gravity, and angle.
  • Force Calculator
    Calculate force from mass and acceleration using Newton's second law (F = m·a). Enter mass in kg and acceleration in m/s² to get force in newtons.
  • Trajectory Calculator
    Free projectile trajectory calculator. Enter velocity, angle and height to find range, max height, flight time and the path equation y=x·tan(θ)−g·x²/(2v²cos²θ).
  • Projectile Motion Calculator
    Calculate projectile range, maximum height and time of flight from initial velocity, launch angle and gravity using classic kinematics formulas.
  • Terminal Velocity Calculator
    Calculate the terminal velocity of a falling object from its mass, drag coefficient, cross-sectional area and fluid density. Results in m/s, km/h and mph.
  • SUVAT Calculator
    Free SUVAT calculator. Enter initial velocity, acceleration and time to find final velocity and displacement using the equations of motion (v=u+at, s=ut+½at²).
  • Acceleration Calculator
    Calculate acceleration from initial velocity, final velocity, and time using a = (v − u) / t. Free, instant, with worked example and formula.

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