Civil
Beam Deflection
Calculate maximum deflection for simply-supported beams under uniform load. Instant results, se...
All Engineering Calculators
113 tools across 19 disciplines β free, transparent formulas, no sign-up.
πCivil9 tools
View all βCivil
Concrete Mix Design
Calculate concrete mix proportions using ACI 211.1. Outputs w/c ratio, cement, water, fine and ...
Civil
Hazen-Williams Pipe Flow
Calculate pipe flow velocity and flow rate using the Hazen-Williams equation. Instant hydraulic...
Civil
Retaining Wall Stability
Check overturning and sliding stability of gravity retaining walls using Rankine earth pressure...
Civil
Footing Bearing Capacity
Calculate ultimate and allowable bearing capacity of shallow footings using Terzaghi's equation...
Civil
Storm Drain Sizing
Calculate required storm drain pipe diameter using Manning's equation. Returns minimum and nomi...
Civil
Earthwork Cut & Fill Volume
Calculate earthwork cut and fill volumes using the prismatoid formula from cross-section areas....
Civil
Slope Stability
Calculate slope stability factor of safety using the infinite slope method. Enter cohesion, fri...
Civil
Seismic Response Spectrum
Computes elastic acceleration response spectra Sa(T) for multiple damping ratios using Newmark-...
βοΈMechanical13 tools
View all βMechanical
Gear Ratio
Calculate gear ratio, output speed and torque for a simple spur gear pair. Instant results with...
Mechanical
Belt Drive
Calculate V-belt or flat-belt drive length, velocity ratio, output speed, belt speed and wrap a...
Mechanical
Heat Transfer (Conduction)
Calculate heat transfer rate through a flat wall using Fourier's Law. Returns heat flux and the...
Mechanical
Spring Rate
Calculate helical compression spring stiffness from wire diameter, coil diameter and active coi...
Mechanical
Shaft Stress Analysis
Calculate torsional and bending stresses in a solid circular shaft under combined loading. Retu...
Mechanical
Bearing Life (L10)
Calculate L10 rated life for rolling element bearings per ISO 281. Returns life in hours and ye...
Mechanical
Thermodynamic Cycles
Calculate Otto cycle thermal efficiency, net work output and heat rejection. Compare against Ca...
Mechanical
Mohr's Circle
Calculate principal stresses Οβ and Οβ, maximum shear stress and principal plane orientation us...
Mechanical
Fatigue Life Estimator
Estimate cycles to failure using Basquin S-N law with Goodman mean-stress correction. Applies M...
Mechanical
Stress Concentration Factor (Kt)
Compute theoretical stress concentration factor Kt for four configurations: plate with hole, pl...
Mechanical
Thermal Expansion
Calculate linear thermal expansion of pipes, rods and structures. Enter coefficient of thermal ...
Mechanical
Engine Displacement
Calculate engine displacement in litres and cc, swept volume per cylinder, and compression rati...
Mechanical
Flywheel Energy Storage
Calculate flywheel stored kinetic energy in kJ and Wh, moment of inertia and rim speed from mas...
β‘Electrical19 tools
View all βElectrical
Ohm's Law
Calculate current, power and energy using Ohm's Law. Instant V=IR calculator with AI-explained ...
Electrical
PCB Trace Width
Calculate minimum PCB trace width for a given current using IPC-2221A. Supports internal and ex...
Electrical
Wire Gauge & Ampacity
Calculate AWG wire diameter, cross-sectional area, resistance and NEC ampacity. Covers AWG 0β40...
Electrical
Voltage Divider
Calculate output voltage, current and power dissipation for a two-resistor voltage divider. Ins...
Electrical
RC Time Constant
Calculate RC circuit time constant, -3dB cutoff frequency and capacitor charge time. Returns Ο,...
Electrical
Power Factor Correction
Calculate capacitor bank size required to correct lagging power factor. Returns kVAR and Β΅F nee...
Electrical
Series RLC Circuit
Calculate RLC circuit resonant frequency, impedance, Q-factor, bandwidth and phase angle for se...
Electrical
ThΓ©venin / Norton Equivalent
Calculate load current, voltage, power and maximum power transfer using ThΓ©venin's theorem. Inc...
Electrical
Op-Amp Active Filter Designer
Design Butterworth or Chebyshev active low-pass, high-pass or band-pass filters. Returns Bode p...
Electrical
DC Motor Torque-Speed Curve
DC shunt motor torque-speed characteristic and efficiency curve. Enter supply voltage, armature...
Electrical
Transmission Line Analyser
Lossless transmission line analysis: reflection coefficient, VSWR, input impedance, return loss...
Electrical
AC Power Flow (Newton-Raphson)
Newton-Raphson AC power flow for small bus systems (up to 10 buses). Computes bus voltage magni...
Electrical
Symmetrical Components
Decomposes unbalanced 3-phase voltages and currents into zero, positive and negative sequence c...
Electrical
3-Phase Power
Calculate active power, reactive power, apparent power and phase angle for a balanced 3-phase A...
Electrical
LED Resistor Calculator
Calculate the correct current-limiting resistor for an LED. Enter supply voltage, LED forward v...
Electrical
Battery Life Estimator
Estimate battery runtime in hours and days from capacity (mAh/Ah) and average discharge current...
Electrical
Transformer Turns Ratio
Calculate transformer turns ratio, primary and secondary currents from voltages and apparent po...
Electrical
dB / dBm Converter
Convert between milliwatts, watts, dBm and dBW. Essential for RF, audio, and telecommunications...
Electrical
RC Time Constant
Calculate RC circuit time constant, charge voltage at any time t, 50% and full-charge times, an...
π©Structural7 tools
View all βStructural
Moment of Inertia
Calculate second moment of area (Ixx, Iyy) for rectangle, circle, hollow rectangle and hollow c...
Structural
Section Modulus
Calculate elastic and plastic section modulus for a rectangular beam section. Returns bending s...
Structural
Column Buckling (Euler)
Calculate critical buckling load (Pcr) for slender columns using Euler's formula. Supports all ...
Structural
Steel Beam Sizing
Calculate required section modulus for a simply-supported steel beam under uniform load. Return...
Structural
FEM Beam Solver
Euler-Bernoulli finite element beam analysis with UDL, point loads and moments. Outputs deflect...
Structural
Beam Natural Frequencies
Euler-Bernoulli FEM eigenvalue solver for beam vibration. Computes first N natural frequencies ...
Structural
2D Truss Solver
Direct stiffness method solver for 2D pin-jointed trusses. Enter node coordinates, member conne...
π§ͺChemical6 tools
View all βChemical
Reynolds Number
Calculate the Reynolds number and determine flow regime (laminar, transitional, turbulent) for ...
Chemical
Darcy-Weisbach Pressure Drop
Calculate pipe friction pressure drop and head loss using the Darcy-Weisbach equation. Returns ...
Chemical
Pump Power
Calculate centrifugal pump hydraulic power, shaft power and efficiency. Returns kW, horsepower ...
Chemical
McCabe-Thiele Distillation
Binary distillation design using the McCabe-Thiele graphical method with constant relative vola...
Chemical
CSTR / PFR Reactor Design
Compare CSTR and PFR reactor volumes for 1st or 2nd order irreversible reactions. Generates Lev...
Chemical
Binary Phase Diagram
Interactive binary phase diagram for isomorphous or simple eutectic systems. Enter melting poin...
βοΈChemistry4 tools
View all βChemistry
Stoichiometry Calculator
Calculate moles of reactant and product, theoretical yield and mole ratios from a balanced equa...
Chemistry
pH Calculator
Calculate pH, pOH, hydrogen ion and hydroxide concentrations for strong and weak acids. Include...
Chemistry
Combined Gas Laws
Verify PV=nRT, find predicted pressure and volume, and check ideal gas compressibility factor Z...
Chemistry
Molar Mass Calculator
Calculate the molar mass of any molecule containing C, H, O, N, S and Cl atoms using 2021 IUPAC...
βοΈPhysics10 tools
View all βPhysics
Projectile Motion
Calculate projectile range, maximum height, time of flight and trajectory from initial velocity...
Physics
Black Hole Radius
Calculate the Schwarzschild radius (event horizon) of a black hole in km and m from its mass in...
Physics
Pendulum Period
Calculate the period and frequency of a simple pendulum from its length and gravitational accel...
Physics
Kinematics Solver
Calculate final velocity, displacement and average velocity using SUVAT equations for constant ...
Physics
Ideal Gas Law
Calculate pressure, volume or temperature using the ideal gas law PV=nRT. Supports Pa, kPa and ...
Physics
Work, Energy & Power
Calculate kinetic energy, potential energy, work done and mechanical power in one tool. Essenti...
Physics
Wave Properties
Calculate wave speed, period, angular frequency and wave number from frequency and wavelength. ...
Physics
Snell's Law
Calculate the refraction angle, critical angle and Fresnel reflectance using Snell's law nβsinΞΈ...
Physics
Projectile with Air Drag
RK45 integration of projectile motion with quadratic air drag and crosswind. Compares ideal vs ...
Physics
Pendulum Phase Portrait
Full nonlinear pendulum ODE solved via RK45. Plots angle vs time, phase portrait (ΞΈ vs Ο), and ...
π§ Neuroscience3 tools
View all βNeuroscience
Neuron Firing Rate
Calculate neuron firing rate in Hz, mean ISI, and coefficient of variation from spike count and...
Neuroscience
Nerve Conduction Velocity
Estimate nerve conduction velocity from axon diameter using Hursh's rule for myelinated and emp...
Neuroscience
EEG Band Power
Classify EEG signal frequency into delta, theta, alpha, beta, or gamma bands. Calculate SNR, pe...
πMath10 tools
View all βMath
Dice Probability
Calculate exact dice roll probabilities for any number of dice and sides. Monte Carlo simulatio...
Math
Nonlinear Equation Solver
Solve any f(x)=0 equation numerically. Newton-Raphson with bisection fallback, full iteration h...
Math
Quadratic Equation
Solve axΒ² + bx + c = 0 with full working. Returns real or complex roots, vertex, axis of symmet...
Math
Matrix Operations (2Γ2)
Calculate 2Γ2 matrix determinant, trace, inverse and matrix product AΓB with full working. Free...
Math
Vector Operations (3D)
Calculate 3D vector dot product, cross product, magnitudes and angle between vectors. Essential...
Math
Hypothesis Testing (Z-test)
Calculate z-statistic and p-value for a one-sample z-test. Get two-tailed and one-tailed p-valu...
Math
Linear Regression
Calculate regression slope, intercept, RΒ² and standard errors from summary statistics. Free sta...
Math
Monte Carlo Risk Simulator
Monte Carlo simulation with up to 10 input variables using normal, uniform, triangular or logno...
Math
Numerical ODE Solver
Solves any system of ODEs numerically using RK45, DOP853, BDF or Radau (for stiff systems). Ent...
Math
Bootstrap Regression with CI
Fits linear, polynomial, power or exponential regression to data with bootstrap confidence inte...
π»Computer Science3 tools
View all βComputer Science
Boolean Logic Gates
Calculate outputs for all fundamental 2-input logic gates: AND, OR, XOR, NAND, NOR, XNOR and NO...
Computer Science
Number Base Converter
Convert decimal integers to binary, octal and hexadecimal. Includes 8-bit and 16-bit two's comp...
Computer Science
IPv4 Subnet Calculator
Calculate IPv4 subnet network address, broadcast address, subnet mask and number of hosts from ...
πAerospace4 tools
View all βAerospace
Orbital Velocity
Calculate circular orbital velocity, escape velocity, orbital period, and gravitational acceler...
Aerospace
Tsiolkovsky Rocket Equation
Calculate rocket delta-v, exhaust velocity, mass ratio and propellant fraction using the Tsiolk...
Aerospace
Standard Atmosphere (ISA)
Calculate ISA standard atmosphere temperature, pressure, density and speed of sound at any alti...
Aerospace
Orbital Mechanics Simulator
Keplerian 2-body orbital simulation around Earth, Moon, Mars or the Sun. Computes orbital perio...
π±Environmental4 tools
View all βEnvironmental
Solar Panel Output
Calculate solar panel power output, daily and annual energy generation, and COβ savings based o...
Environmental
Carbon Footprint Calculator
Calculate your annual carbon footprint in tonnes COβe from electricity, car travel, flights and...
Environmental
Water Quality Index (WQI)
Compute the NSF Water Quality Index from dissolved oxygen, BOD, pH, turbidity, nitrates and col...
Environmental
Noise Mapping
Generates a 2-D sound pressure level map for a point noise source using inverse-square law atte...
π§¬Biomedical3 tools
View all βBiomedical
BMI & Body Surface Area
Calculate BMI, body surface area (Mosteller & DuBois), ideal body weight, adjusted body weight,...
Biomedical
Pharmacokinetics (1-Compartment)
1-compartment pharmacokinetic model for IV bolus and oral dosing. Computes plasma concentration...
Biomedical
HP Protein Folding (Lattice Model)
2D HP lattice model for protein folding. Enter an HP sequence (H=hydrophobic, P=polar), run ran...
π§«Biology1 tool
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View all βThermal
Heat Exchanger Designer
Size or rate a heat exchanger using LMTD and NTU-effectiveness methods. Supports counter-flow, ...
Thermal
Transient Heat Conduction
Crank-Nicolson finite difference solver for 1-D transient heat conduction in a rod or wall. Sho...
Thermal
Psychrometric Properties
Compute all moist air properties from dry-bulb temperature and relative humidity: humidity rati...
γ°οΈSignals & DSP1 tool
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View all βπ²Casino & Probability9 tools
View all βCasino & Probability
House Edge Calculator
Calculate casino house edge, RTP, expected loss, and 95% confidence interval for any casino bet...
Casino & Probability
Gambler's Ruin
Calculate the probability of going broke before reaching a target bankroll. Uses the classic Ga...
Casino & Probability
Blackjack Basic Strategy
Get the optimal blackjack play for any hand vs any dealer upcard. Based on mathematically prove...
Casino & Probability
Blackjack Simulator
Simulate hundreds of blackjack sessions using perfect basic strategy. See ruin probability, pro...
Casino & Probability
Baccarat Calculator
Calculate baccarat house edge, expected loss, and session statistics for Banker, Player, and Ti...
Casino & Probability
Bankroll Manager
Calculate required bankroll for any survival probability, expected session loss, hourly loss ra...
Casino & Probability
Roulette Simulator
Simulate thousands of roulette sessions via Monte Carlo. See balance charts, ruin probability, ...
Casino & Probability
Slot Machine Simulator
Simulate slot machine sessions at any RTP percentage. See real ruin probability, profit probabi...
Casino & Probability
Craps Odds Calculator
Calculate combined house edge for craps Pass Line with Free Odds, expected session loss, and di...