Math & Numbers
Estimate the three-phase symmetric short-circuit current using the IEC 60909 far-from-generator method: I"_k = c·U_n/(√3·|Z|) and i_p = κ·√2·I"_k with κ = 1.02 + 0.98·e^(−3R/X). Source impedance is the series sum of transformer and line R/X.
short-circuit-current-calculatorMedia
Decode PQ or HLG AVIF, convert BT.2020 to sRGB, and tone map highlights into a viewable SDR PNG.
hdr-avif-to-sdr-pngMedia
Decode HEIC photos to compatible JPEG with quality, chroma subsampling, and background controls.
heic-to-jpgMedia
Decode HEIC photos to verified 24/32-bit or high-precision 48/64-bit PNG files.
heic-to-pngMedia
Inspect real sample depth, stored pixel depth, channels, palette, alpha, color space, ICC, and HDR metadata.
image-bit-depth-inspectorDevelopment
Render a URL at multiple viewport widths and inspect screenshots, pixel-difference heatmaps, and layout metrics in the page.
responsive-breakpoint-diffMath & Numbers
Calculate the elastic section modulus W = I/y_max and associated geometric properties. Supports rectangle, solid circle, hollow tube, and I-beam; computes I, distance c, area A, and radius of gyration r. Units in mm.
section-modulus-calculatorMath & Numbers
Calculate the infinite-slope factor of safety: FS = c'/(γ·z·cosβ·sinβ) + tanφ'/tanβ. Supports dry slopes and seepage parallel to the slope. Returns FS and a stable/marginal/unstable classification.
slope-stability-calculatorMath & Numbers
Calculate the maximum bending moment M_max, maximum shear force V_max and free-end deflection δ_max of a cantilever beam under a free-end point load P or a uniformly distributed load q. Point load: δ = PL³/(3EI); UDL: δ = qL⁴/(8EI).
cantilever-beam-calculatorMath & Numbers
Calculate the maximum shear stress τ_max = V·Q/(I·b) at the neutral axis of a beam section. Supports rectangle (1.5V/A), solid circle (4V/3A), hollow tube, and I-beam (exact V·Q_web/(I·tw)). Also returns the average shear stress V/A for comparison.
shear-stress-calculatorMath & Numbers
Calculate the maximum bending moment M_max, maximum shear force V_max and support reactions for a simply supported beam under a uniformly distributed load, a mid-span point load, or a point load at an arbitrary position. UDL: M_max = qL²/8; mid-span: M_max = PL/4; offset: M_max = P·a·b/L.
simply-supported-beam-calculatorMedia
Clean lecture recordings with speech-focused EQ, hum reduction, peak control, and optional long-silence trimming.
audio-classroom-recording-cleaner