Mechanics Calculator

  • Gear Ratio Calculator
    Calculate gear ratio from driver and driven gear teeth, then find output speed (RPM) and output torque for any gear pair. Fast and free.
  • Potential Energy Calculator
    Compute gravitational potential energy from mass, height, and g (m/s²). Enter values to get energy in joules (J).
  • Engine Displacement Calculator
    Calculate total engine displacement from bore, stroke, and cylinder count. Get results in cc, liters, and cubic inches instantly with this free tool.
  • Crawl Ratio Calculator
    Calculate your 4x4 crawl ratio from transmission, transfer case, and axle gear ratios. Find total low-range reduction for off-road rock crawling.
  • Carburetor CFM Calculator
    Calculate the carburetor CFM your engine needs from displacement (CID), max RPM, and volumetric efficiency. Free, fast carburetor sizing tool.
  • Young's Modulus Calculator
    Calculate Young's modulus (E) of a material from applied force, cross-sectional area, original length and change in length. Get stress, strain and E in Pa & GPa.
  • Slenderness Ratio Calculator
    Calculate the slenderness ratio of a column using λ = (K·L)/r. Enter effective length factor, unbraced length, and radius of gyration.
  • Vickers Hardness Number Calculator
    Calculate the Vickers Hardness Number (HV) from the applied load and the mean diagonal of the indentation using HV = 1.854 × F / d².
  • Torsional Stiffness Calculator
    Calculate the torsional (rotational) stiffness of a shaft from shear modulus, polar moment of inertia, and length using kt = G·J / L.
  • True Strain Calculator
    Calculate true (logarithmic) strain from original and final length using ε_true = ln(L/L₀) = ln(1 + ε_eng). Free engineering strain tool.
  • 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 Strain Calculator
    Calculate shear strain (γ) from lateral displacement and length (Δx/L) or from shear stress and shear modulus (τ/G). Free online physics tool.
  • 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.
  • Torque, Speed and Power Calculator
    Compute mechanical power, rotational speed, or torque from the other two using P = 2pi*T*n/60. Supports kW/PS/HP, N.m/kgf.m/lbf.ft and rpm units.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Boost Horsepower Calculator
    Estimate boosted horsepower from your naturally aspirated HP and boost pressure (PSI). Quick turbo and supercharger power gain calculator.

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