Mechanics Calculator

  • Spring Rate Calculator
    Calculate the spring rate (spring constant) of a helical compression coil spring from shear modulus, wire diameter, coil diameter and active coils.
  • Lever Calculator
    Solve any lever problem using the law of moments. Enter three values to find effort, load, or arm length plus mechanical advantage.
  • Torsion Spring Calculator
    Calculate the torsional spring rate of a helical torsion spring from wire diameter, coil diameter, active coils, and modulus of elasticity.
  • Pulley Calculator
    Free pulley calculator using D1×N1 = D2×N2. Solve driver/driven pulley diameter, speed (RPM), or belt speed ratio by entering any three values.
  • Speeds and Feeds Calculator
    Free speeds and feeds calculator for CNC milling and machining. Enter SFM, tool diameter, chip load and flutes to find spindle RPM and feed rate (IPM).
  • Pump Horsepower Calculator
    Calculate pump brake horsepower (BHP) and hydraulic horsepower from flow rate (GPM), total head, specific gravity, and efficiency.
  • Mean Piston Speed Calculator
    Calculate mean piston speed (MPS) from stroke and RPM. Enter stroke in mm and engine speed to get piston speed in m/s and ft/min instantly.
  • Piston Force Calculator
    Calculate piston force from pressure and bore diameter using F = P × (π/4) × D². Supports SI (Pa, m → N) and Imperial (psi, in → lbf) units.
  • Linear Actuator Force Calculator
    Calculate the output force of a hydraulic or pneumatic linear actuator from operating pressure and piston bore diameter. Get results in N, kgf and lbf.
  • 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.
  • Mechanical Advantage Calculator
    Calculate mechanical advantage (MA) from output force (load) and input force (effort). Free, instant MA calculator for levers, pulleys and machines.
  • Fulcrum Calculator
    Free fulcrum calculator using the law of the lever (F1 × d1 = F2 × d2). Solve for an unknown force or distance to balance a lever about a fulcrum.
  • 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.
  • Carburetor CFM Calculator
    Calculate the carburetor CFM your engine needs from displacement (CID), max RPM, and volumetric efficiency. Free, fast carburetor sizing tool.
  • 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.
  • 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.
  • 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.
  • Belt Length Calculator
    Calculate the required V-belt or flat belt length from pulley diameters and center distance using the standard two-pulley belt length formula.
  • 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.
  • Thermal Stress Calculator
    Calculate thermal stress in a fully constrained material from Young's modulus, thermal expansion coefficient, and temperature change using σ = E·α·ΔT.

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