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Mechanical Engineering Calculators & Tools

Mechanical engineering calculators for gear ratios, spring design, belt drives, and torque calculations. Design power transmission systems and mechanical components.

Mechanical Engineering Calculators

Explore our collection of 5 mechanical engineering calculators. Each tool includes detailed documentation, formulas, and interactive visualizations.

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Gear Ratio Calculator
Calculate gear ratios, output RPM, and torque for gear trains. Includes animated visualization of gear rotation.
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Spring Calculator
Calculate spring rate, deflection, and stress for compression and extension springs. Includes animated 3D visualization.
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Belt Drive Calculator
Calculate belt length, speed ratio, wrap angles, and torque for V-belt, flat belt, and timing belt drive systems.
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Torque Calculator
Calculate torque from force and lever arm, convert between torque units, and determine force or distance for required torque. Includes angular acceleration calculations.
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Bearing Life Calculator
Calculate bearing fatigue life using ISO 281 standard. Determine L10 life, adjusted life with reliability factors, and equivalent dynamic load with animated 3D visualization.

Mechanical Engineering Glossary

Key terms and definitions for mechanical engineering. Understanding these concepts will help you use our calculators more effectively.

Gear Ratio
The ratio of the number of teeth on the driven gear to the driver gear. Determines the mechanical advantage and speed reduction in a gear train.
Mechanical Efficiency
The ratio of output power to input power, expressed as a percentage. Accounts for energy losses due to friction, heat, and other factors.
Spring Rate (Spring Constant)
The force required to compress or extend a spring by one unit of length. Denoted as k, it is calculated as k = Gd⁴/(8D³n) for helical springs, where G is shear modulus, d is wire diameter, D is mean coil diameter, and n is active coils.
Shear Modulus (Modulus of Rigidity)
A material property that describes its resistance to shear deformation. Denoted as G, it relates shear stress to shear strain in the elastic region. For most metals, G ≈ E/(2(1+ν)) where E is elastic modulus and ν is Poisson's ratio.
Wahl Factor
A stress correction factor for helical springs that accounts for wire curvature and direct shear effects. Calculated as K = (4C-1)/(4C-4) + 0.615/C, where C is the spring index (D/d).
Belt Tension
The tensile force in a belt, consisting of tight side tension (T₁) and slack side tension (T₂). The difference transmits power: P = (T₁ - T₂) × v. Initial tension is set to prevent slip under load.
Pulley Ratio (Speed Ratio)
The ratio of driven pulley diameter to driver pulley diameter, which determines speed change. Speed ratio = D₂/D₁ = N₁/N₂, where larger driven pulleys reduce speed and increase torque.
Belt Length
The total length of belt required for a drive system, calculated as L = 2C + π(D₁+D₂)/2 + (D₂-D₁)²/(4C), where C is center distance and D₁, D₂ are pulley diameters.
Torque
A rotational force that causes or tends to cause rotation, calculated as τ = F × r × sin(θ), where F is force, r is the lever arm length, and θ is the angle between them. Units: N·m, lb-ft, lb-in.
Moment Arm (Lever Arm)
The perpendicular distance from the axis of rotation to the line of action of the force. Effective moment arm = r × sin(θ) when force is not perpendicular to the radial line.
Mass Moment of Inertia (Rotational Inertia)
A measure of an object's resistance to angular acceleration, analogous to mass for linear motion. Depends on mass distribution relative to the rotation axis. Units: kg·m², lb·ft².
Angular Acceleration
The rate of change of angular velocity over time. Related to torque by Newton's second law for rotation: τ = I × α, where τ is torque, I is moment of inertia, and α is angular acceleration. Units: rad/s².

Frequently Asked Questions

What are mechanical engineering calculators?

Mechanical Engineering calculators are online tools that help engineers and students solve common mechanical engineering problems. They provide quick, accurate calculations for design, analysis, and verification tasks.

Are these mechanical calculators free to use?

Yes, all mechanical engineering calculators on Simulyzers are completely free to use. No registration or account is required.

How accurate are these mechanical engineering tools?

Our calculators use industry-standard formulas and methods. However, they are intended for preliminary estimates and educational purposes. Always verify critical calculations with a qualified professional engineer.

Can I use these calculators on mobile devices?

Yes, all our mechanical engineering calculators are fully responsive and work on smartphones, tablets, and desktop computers.

Other Categories

🏗️ Structural Engineering⚡ Electrical Engineering🏭 Manufacturing & Production💧 Fluid Mechanics🌡️ Heat Transfer & Thermal

About Mechanical Engineering Tools

Our mechanical engineering calculators are designed for practicing engineers, students, and technical professionals. Each calculator uses established engineering formulas with clear documentation of assumptions and limitations.

How to Use These Calculators

  • Enter your input values in the form fields
  • Select appropriate units (metric or imperial)
  • Click Calculate to see results
  • Review any warnings or notes about assumptions
  • Use the 3D visualization to verify your understanding
  • Share calculations by copying the URL

Disclaimer

These calculators are for preliminary estimates and educational purposes only. Results should be verified by a qualified professional engineer before use in actual engineering applications. See our full disclaimer for more information.