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Mechanics calculators

Torque, power, ratios, stress and deformation for first-pass design.

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Workflow

Enter geometry and load, check plausibility and complete safety verification.

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Calculators in this category

01M = F·r

Torque from force and lever arm

Determine shaft, bolt or lever torque from tangential force and lever arm.

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02P = M·ω

Mechanical power from torque and speed

Calculate rotating shaft power from torque and speed.

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03v = πdn/60

Tangential speed of a rotating shaft

Determine rim speed of a disk, gear or grinding wheel.

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04i = z₂/z₁

Gear ratio from tooth counts

Determine spur-gear ratio and interpret output direction.

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05n₂ = n₁/i

Gearbox output speed

Calculate output speed from input speed and ratio.

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06i = d₂/d₁

Belt-drive ratio from pulley diameters

Determine belt-drive ratio from pitch diameters.

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07σ = F/A

Normal stress from force and area

Calculate average tensile or compressive stress in a prismatic section.

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08ε = ΔL/L₀

Engineering strain from elongation

Calculate relative length change of a tension or compression member.

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09E = σ/ε

Young's modulus from stress and strain

Determine Young's modulus from stress and strain in the linear elastic range.

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10F = k·x

Spring force using Hooke's law

Calculate force of a linear spring from rate and deflection.

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11F = m·g/n

Pulley mechanical advantage

Determine ideal pull force from load mass and supporting rope strands.

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12M₂ = M₁·i·η

Gearbox output torque

Estimate output torque from input torque, ratio and efficiency.

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13E = ½kx²

Stored energy in a linear spring

Calculate elastic energy from spring rate and deflection.

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