A 2D sketch tool for statics free body diagrams. Draw force arrows, lines, moment arcs, rectangles, ellipses and cylinders, or sketch freehand with the pen, then double-click any shape to label it. Shapes drag freely and snap to each other and to the axes.
Export PNG to paste into Word or Google Docs, SVG for Illustrator or LaTeX, or PDF.
Add 2D force vectors by magnitude and angle, or 3D vectors by components, and read the resultant force, its x, y and z components, and its direction angles. For concurrent force systems in statics.
Export the diagram and results as PNG or PDF.
Set the beam length and supports (simply supported or cantilever), add point loads, uniform, triangular or polynomial distributed loads, and applied moments. The tool solves the reactions and plots the shear force and bending moment diagrams with zero crossings and peak values labeled.
The results list piecewise V(x) and M(x) for each interval in terms of your load names, for checking a hand solution term by term. Export PNG or PDF.
Enter a plane stress or plane strain state. The tool draws Mohr's circle and reports the principal stresses, the maximum in-plane shear stress and the angle of each, with the stress element drawn alongside.
Drag the point on the circle to rotate the element to any angle and read the transformed components. A 3D mode adds the out-of-plane stress and the absolute maximum shear. Export PNG or PDF.
24 standard load cases from Roark's Formulas for Stress and Strain: simply supported, cantilever, fixed-fixed and propped beams. Enter geometry and load to get reactions, maximum moment, deflection and slope, with each formula shown before and after substitution.
Any input can be solved for instead, so a deflection limit gives the required I, load or span. Two cases can be combined on one span.
Build a cross-section from rectangles, circles, half and quarter circles and polygons, any of them a void, which covers I-beams, T-sections, channels, angles, pipes, plates with holes and triangular gussets. The tool reports the centroid, area, Ix, Iy, Ixy, polar moment J and section moduli about the centroidal axes, plus a parts table with each part's parallel axis terms.
Dimensions can be typed exactly. Export PNG or PDF.
Solves the Rankine steam cycle, with or without reheat, on IAPWS-IF97 water and steam properties, the air-standard Brayton cycle with an optional regenerator, the Otto, Diesel, dual and Atkinson cycles, and the R-134a vapor-compression refrigeration cycle. Enter the properties you know at each state and the solver fills in the rest, then closes the energy balance on each device.
Results include work, heat, thermal efficiency, back work ratio or COP, with T-s and P-v diagrams. Replaces interpolating steam and refrigerant tables by hand.
For mechanical systems of one to four masses. Enter each force term with its sign relative to a direction you choose, and the tool sums them into one equation of motion per body, assembles the mass, damping and stiffness matrices, takes the Laplace transform under zero initial conditions, and returns transfer functions by Cramer's rule.
You still draw the free body diagrams and decide the signs; on a desktop screen a sketch pad under the inputs is there to draw them on. With numeric coefficients it also gives the characteristic polynomial, poles, damping ratio, undamped natural frequencies and mode shapes.
About
Resultant is a set of free tools for undergraduate engineering coursework. There are no ads, no accounts and no paid tier, and none are planned. The site is static files on Cloudflare Pages, with no server or database, so it costs almost nothing to run and has no reason to charge.
Every calculation runs in your browser and nothing you enter is sent anywhere. Each tool's math is checked against an independent reference before release. The verification page lists what each tool is checked against and what it does not cover.
After one visit, every tool also works offline. To install the site as an app, use Add to Home Screen in Safari's share menu on iPhone, or the install button in the address bar in Chrome or Edge.