MechSimulator

Engineering Calculators

Free online engineering calculators for structural design, machine elements, manufacturing, and thermal analysis — instant results with clear output, built for students and engineers.

15 tools
Moment of Inertia Calculator
Moment of Inertia Calculator
Ix, Iy, section modulus, radius of gyration for 8 cross-sections — rectangle, circle, I-beam, T-section, channel & angle. Parallel axis theorem.
Column Buckling Calculator
Column Buckling Simulator
Euler & Johnson critical load — 7 materials, 4 end conditions, animated buckling with Euler-Johnson curve plot.
Power Screw Calculator
Power Screw Calculator
Lead screw torque to raise & lower, efficiency, self-locking check — square, ACME, buttress & trapezoidal threads.
Weld Strength Calculator
Weld Strength Calculator
Fillet & butt weld load capacity — throat area, weld stress, factor of safety, pass/fail verdict for 6 joint types.
Stress Concentration Factor (Kt) Simulator
Stress Concentration (Kt) Simulator
Stress concentration factor for 8 geometries — holes, notches, fillets, grooves. Color-mapped stress visualization & Peterson’s charts.
Thermal Expansion Calculator
Thermal Expansion Calculator
Linear & volumetric expansion, shrink fit design, bi-metallic strip — 10 materials with animated visualization.
Machining Calculator
Machining Calculator
RPM, feed rate, MRR, machining time & power for turning, milling & drilling — 8 materials, 3 tool types.
Spring Design Calculator
Spring Design Calculator
Helical spring stiffness, max shear stress with Wahl correction, deflection, spring index & material comparison.
Tolerance & Fits Calculator
Tolerance & Fits Calculator
ISO 286 limits & fits — clearance, transition & interference. Step-by-step calculations, guided practice, and quiz.
Gear Train Calculator
Gear Train Calculator
Simple, compound & worm gear trains — velocity ratio, torque, RPM with animated gears and worked examples.
Bearing Life Simulator
Bearing Life Simulator
L10 life, dynamic load rating, equivalent load — ball & roller bearings, reliability adjustment factors.
Gear Strength Simulator
Gear Strength Simulator
Lewis bending & AGMA contact stress for spur & helical gears — safety factor, module selection.
Heat Exchanger Simulator
Heat Exchanger Simulator
LMTD & effectiveness-NTU methods — parallel & counter flow, outlet temperatures, required area.
Fatigue Life Simulator
Fatigue Life Simulator
S-N curve, Goodman/Soderberg/Gerber diagrams — endurance limit with Marin factors, Miner’s rule.
Hydraulic Cylinder Simulator
Hydraulic Cylinder Simulator
Bore/rod sizing, extend/retract force & speed — flow rate, pump power, rod buckling check.

Free Engineering Calculators for Mechanical Design & Analysis

Engineering calculations are the backbone of mechanical design. From sizing a column to resist buckling, to determining the torque needed to raise a load with a power screw, to checking whether a welded joint will survive its design load — every decision relies on accurate calculations. These free engineering calculators provide instant, verified results with clear visual output so students and engineers can focus on understanding the physics rather than wrestling with spreadsheets.

Structural & Strength Calculators

The Moment of Inertia Calculator computes Ix, Iy, section modulus, radius of gyration, and polar moment of inertia for 8 standard cross-sections including I-beams, T-sections, and hollow profiles. Feed these results into the Column Buckling Calculator to determine critical loads using Euler and Johnson formulas for 7 materials and 4 end conditions. The Stress Concentration Factor (Kt) Visualizer shows exactly where stress concentrates around holes, notches, and fillets — with color-mapped stress fields drawn directly on canvas.

Machine Design Calculators

The Power Screw Calculator handles square, ACME, buttress, and trapezoidal thread forms — computing torque to raise and lower, efficiency, and self-locking conditions. The Weld Strength Calculator analyses fillet and butt welds for tension, shear, and combined loading with factor of safety verdicts. The Spring Design Calculator computes helical spring stiffness, Wahl-corrected shear stress, and deflection. And the Tolerance & Fits Calculator implements the full ISO 286 system for clearance, transition, and interference fits.

Manufacturing & Thermal Calculators

The Machining Calculator is an all-in-one tool for turning, milling, and drilling — computing RPM, feed rate, material removal rate, machining time, and power required for 8 workpiece materials. The Thermal Expansion Calculator covers linear expansion, shrink fit design (computing required temperature differential and assembly pressure), and bi-metallic strip deflection for 10 materials. The Gear Train Calculator handles simple, compound, and worm drives with animated gear visualization.

Who Uses These Calculators?

These engineering calculators are designed for mechanical engineering students, design engineers, workshop instructors, and anyone solving machine design or structural analysis problems. Each calculator includes Explore, Practice, and Quiz modes for structured learning, making them ideal for coursework, exam preparation, and quick reference during design projects.

Explore Related Categories

Looking for more interactive tools? Browse our Strength of Materials simulators, Workshop & Manufacturing tools, Applied Mechanics simulators, and Thermal Engineering tools for comprehensive engineering practice.