Bell Curve Generator & Normal Distribution Plotter
Plot normal curves, shade any area, compare distributions and export a high-resolution graph for reports and slides.
Practical guides, verified formulas and interactive tools for civil engineering, hydrology, statistics and AI, built for students and working engineers.
The calculators engineers and students open most, each with plots and step-by-step working.
Plot normal curves, shade any area, compare distributions and export a high-resolution graph for reports and slides.
Convert raw scores to z-scores and percentiles with a shaded bell curve and step-by-step working.
Find the x value for any probability: left tail, right tail, central or two-tailed areas.
Area and mass moment of inertia, centroid and section properties for common and built-up shapes.
Beam bending stress from moment, section modulus and geometry, with the stress distribution plotted.
Volume of concrete for slabs, columns, beams and footings with wastage allowance.
Theory explained from first principles, with worked examples you can check.
Four equations describe every classical electric and magnetic phenomenon, from a compass needle to Wi-Fi to sunlight. This guide states each law in integral and differential form, explains what it means physically with an example,
Every power station, transformer, electric guitar pickup and wireless charger works because a changing magnetic flux induces a voltage. This guide explains magnetic flux, Faraday's law, the direction rule of Lenz's law, motional EMF, the AC generator, transformers, inductance and eddy currents, with worked examples and an animated generator you can control.
Infiltration decides how much rain becomes runoff. This guide explains the three classic infiltration models, gives the Rawls Green-Ampt parameters for all 11 soil textures, shows how to compute ponding time, and works through the φ-index and W-index.
The FAO-56 Penman-Monteith equation is the international standard for reference evapotranspiration. This guide explains every term, walks through all twelve calculation steps, reproduces the official FAO worked example (ET₀ = 3.9 mm/day),
Rain gauges measure rainfall at points, but floods, water budgets and hydrological models need the average over an area. This guide explains the three classical methods, lets you drag gauges on a live catchment and watch the Thiessen polygons
The rational method is the most widely used way to size storm drains, culverts and gutters for small catchments. This guide covers the formula in SI and US units, where each term comes from, how to pick C, how to compute the time of concentration and
Compute the magnetic flux density B produced by steady currents in the six most common conductor shapes, using the Biot–Savart law and Ampère's law. The calculator gives B in tesla, millitesla, microtesla and gauss, plots the field along the axis, maps the exact off-axis field of a loop, compares finite and ideal solenoids, and shows the substituted formula for every result.
Place up to eight point charges, drag them around, and watch the electric field lines and equipotential lines update live. Move the probe to read the electric field vector and potential at any point, see the net Coulomb force on every charge, or use the quick Coulomb's law calculator for two charges in any medium.
Paste a monthly rainfall series and get the SPI at 1 to 24 months using the standard McKee et al. (1993) gamma method, the drought category of every month, a list of drought events with duration and severity, and a multi-scale heatmap that shows how short dry spells grow into long droughts.
Paste annual maximum floods and get the 2- to 1000-year design floods from four distributions side by side, Gumbel confidence limits, a Gumbel probability plot with your data, a goodness-of-fit ranking, the return period of any given flood, and the full step-by-step
Estimate direct runoff depth and volume from a storm with the SCS-CN (NRCS curve number) method. Build a composite curve number from the complete TR-55 tables,
Paste a time series and get the Mann-Kendall S statistic, variance (with tie correction), Z, p-value, Kendall's τ and Sen's slope with its confidence interval. Includes the Hamed-Rao and trend-free pre-whitening corrections for autocorrelated data,
Methods follow standard textbooks and codes, cited on each page, and worked examples are checked independently.
See every intermediate value, not just the answer, so you can learn the method and check your own work.
Plots update as you type. Export graphs and results for assignments, reports and presentations.
No account, no paywall, no install. Every tool works in the browser on phones, tablets and desktops.
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