Resultant: Free Engineering Tools for Statics and Mechanics

Resultant

Free Body Diagram Creator

A 2D sketch tool for building free body diagrams. Draw force arrows, moment arcs, and geometry, then label anything with a double-click.

Vector Resultant Calculator

Add 2D force vectors by magnitude and angle, see them drawn on a canvas, and get the resultant force, components, and direction instantly.

Inertia & Centroid

Build composite cross-sections and get Ix, Iy, centroid location, and parallel-axis contributions for each part.

Thermodynamics Solver

Enter the properties you know at each Rankine cycle state. IAPWS-IF97 steam data fills in the rest and computes work, heat, and efficiency.

Shear and Moment Diagram Calculator

Solves beam reactions and plots V(x) and M(x) with zero crossings labeled. Results show symbolic piecewise expressions per interval.

Mohr's Circle Calculator

Enter plane stress or strain and get principal values, max shear, and the rotated element. Drag the circle to rotate and read any angle.

Beam Formula Calculator

Standard load cases from Roark's. Enter your values and get deflection, slope, and reactions. Solve for any variable.

Document Tools

Annotate PDFs with freehand drawing and text, then export. Combine multiple PDFs into one file. Runs entirely in the browser.

FBD Creator<br>Vectors<br>Inertia & Centroid<br>Thermodynamics<br>V&M Diagrams<br>Mohr's Circle<br>Beam Formulas<br>Document Tools<br>SoM Quiz<br>About

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Free body diagram creator

The free body diagram creator is a 2D sketch tool for engineering statics. Available elements include force arrows, straight lines, moment arcs, rectangles, ellipses, and cylinders. Double-click any shape to add a label. Everything is draggable and snaps to a grid.

Export as PNG and paste directly into Word or Google Docs. SVG export works for Illustrator or LaTeX. Diagrams save to a .fbd file and reload from the same.

Vector resultant calculator

Add any number of 2D force vectors by specifying magnitude and angle. The tool draws each vector on a canvas and computes the resultant force, its x and y components, and its direction angle. Useful for statics problems involving concurrent force systems.

Results update live as you adjust inputs. Export the diagram as PNG or PDF for inclusion in a lab report or homework submission.

Shear and moment diagram calculator

Specify beam length, support conditions, and loading. The tool solves reactions analytically and plots the shear force diagram and bending moment diagram with zero crossings and critical values labeled. A tabbed view shows the FBD, V diagram, M diagram, or all three together.

The results panel outputs piecewise V(x) and M(x) in terms of your load variable names, which makes it easy to check hand calculations. Supported conditions include simply supported, pin-roller, and cantilever beams under point loads, partial or full-span UDLs, and applied moments.

Mohr's circle calculator

Enter a plane stress or plane strain state and the tool draws the Mohr's circle, then reports the principal stresses, the maximum in-plane shear stress, and the orientation angles of each. The stress element is drawn alongside the circle and rotates as you change the angle, so you can see how the normal and shear components transform together.

Drag the point on the circle to rotate the element to any angle and read the transformed components directly. Export the circle and element diagram as PNG or SVG for a report. Useful for stress transformation problems and for checking failure-criterion calculations by hand.

Beam formula calculator

Standard load cases from Roark's Formulas for Stress and Strain. Select a case, enter geometry and load values, and get maximum deflection, slope, and support reactions. The solve-for-any-variable feature means you can work backwards from a deflection limit to find the required load or span.

Inertia and centroid calculator

Build a composite cross-section by adding rectangles, circles, hollow tubes, and standard I-sections. The tool computes the centroid location, Ix, Iy, and the parallel-axis theorem contribution of each part relative to the composite neutral axis. Useful for bending stress and deflection problems where you need the exact second moment of area for a non-standard section.

The cross-section diagram updates live as you add or reposition shapes. Export as PNG for your report or copy directly to the clipboard.

Thermodynamics solver

A state solver for Rankine steam cycles. Enter any properties you know at each state point, pressure, temperature, quality, enthalpy, entropy, and the tool propagates the rest using IAPWS-IF97 water and steam data. It then computes turbine and pump work, boiler and condenser heat, thermal efficiency, and back work ratio for the cycle.

Because the property data is implemented client-side, results update as you edit inputs with nothing sent to a server. Useful for thermodynamics coursework where you would otherwise be interpolating...