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Mechanics calculators

Torque, power, stress, strain and springs for first-pass design and lifting gear.

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

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Calculators in this category

01Coulomb friction

Friction and Self-Locking on an Inclined Plane

Determine whether a body on a ramp holds by itself and what force is needed to hold it, push it up or let it down, with separate static and kinetic friction, the friction angle, breakaway force and ramp efficiency.

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02M = F·r

Torque Calculator: Force and Lever Arm

Calculate the torque on a shaft, bolt or lever from tangential force and lever arm.

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03P = M·ω

Power from Torque and Speed Calculator

Calculate the mechanical power of a rotating shaft from torque and speed.

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04v = πdn/60

Surface Speed Calculator for Rotating Parts

Calculate the rim or surface speed of a shaft, disc, gear or grinding wheel from diameter and speed.

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05σ = F/A

Normal Stress Calculator: Force per Area

Calculate the average tensile or compressive stress in a prismatic section from force and cross-sectional area.

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06ε = ΔL/L₀

Strain Calculator from Elongation

Calculate the engineering strain (relative length change) of a tension or compression member.

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07E = σ/ε

Young's Modulus Calculator

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

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08F = k·x

Spring Force Calculator (Hooke's Law)

Calculate the force of a linear spring from spring rate and deflection with Hooke's law.

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09Dubbel Festigkeitslehre C 2.5.1, Gl. (46): τmax = Mt/Wp mit Wp = π·d³/16; S = τzul/τmax

Shaft Torsion Safety Factor Calculator

Calculate torsional stress and safety factor of a solid circular shaft from torque, diameter and allowable stress.

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10Dubbel Mechanik B 1.4.5 Standsicherheit: S = ΣMS/ΣMK (Standmomente zu Kippmomente um die Kippkante)

Tipping Stability Calculator

Calculate the safety factor against tipping of a block-shaped body from weight, base width, lateral force and its height of application.

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11Dubbel Kraftfahrzeugtechnik Q 2.1.2: FL = cW·A·ρ·v²/2 (Pkw cW 0,25–0,4, A 1,5–2,5 m²); Mechanik B 6.6.4, Gl. (35)

Aerodynamic Drag Force Calculator for Vehicles

Calculate the aerodynamic drag force of a vehicle from drag coefficient, frontal area, air density and speed.

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12Dubbel Kraftfahrzeugtechnik Q 2.1.1: FRo = f·m·g (f ≈ 0,008 … 0,017); hier mit cos α für geneigte Fahrbahn

Rolling Resistance Calculator for Vehicles

Calculate the rolling resistance force of a vehicle from rolling resistance coefficient, mass and road grade.

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13Dubbel Kraftfahrzeugtechnik Q 2.1.4: Fst = m·g·sin α, Pst = Fst·v

Climbing Resistance Calculator for Vehicles

Calculate the climbing resistance force of a vehicle on an inclined road from mass and grade angle.

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14Dubbel Kraftfahrzeugtechnik Q 2.1: PW = FW·v, Antriebsverluste über η = η1·η2·…·ηn (Q 2.1.3); P = F·v/η

Drive Power Calculator from Force and Speed

Calculate the required drive power of a linear motion from feed force, velocity and drive efficiency.

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15Momentengleichgewicht um den Drehpunkt ΣM = 0 (Dubbel Mechanik B 1.4.2, Kräftesystem in der Ebene): F1·l1 = F2·l2

Lever Calculator: Two-Sided Lever Equilibrium

Calculate the counter-force needed to balance a two-sided lever from a known force and both lever arms.

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16S = Fmin/Fist; Dubbel Fördertechnik U 1.2 Drahtseile (Mindestbruchkraft Fmin = Fr·k); Zp-Faktoren nach ISO 4308/DIN 15020

Rope and Chain Safety Factor Calculator

Calculate the safety factor of a rope or chain from its rated breaking force and the actual working tension.

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17F = m·(g+a); Newtonsche Bewegungsgleichung, Dubbel Fördertechnik U 2.5 Hubwerke (Beschleunigung der Hublast)

Hoist Rope Force Calculator with Acceleration

Calculate the rope tension when lifting a load with additional acceleration from mass, gravity and acceleration.

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18Dubbel Mechanik B 1.9.2 Seil unter konstanter Streckenlast: FH = q·x2²/(8f)

Cable Sag Calculator

Calculate the sag of a slack cable or overhead line under uniform load from span and horizontal tension with the parabolic approximation.

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19Dubbel Mechanik B 2.1.1 Kinematik, gleichmäßig beschleunigte Bewegung: s = v²/(2·at)

Braking Distance Calculator

Calculate a vehicle's braking distance from initial speed and average braking deceleration.

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20Dubbel Kraftfahrzeugtechnik Q 4.2 (Anhalteweg = Reaktionsweg + Bremsweg, tr 0,5–1,2 s) mit Dubbel Mechanik B 2.1.1

Stopping Distance Calculator

Calculate a vehicle's total stopping distance from reaction distance and braking distance.

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21R = V/v·100 (Definition des Streckenverbrauchs in l/100 km; Dubbel Kraftfahrzeugtechnik Q 11.2 nur als Kontext)

Fuel Range Calculator

Calculate the theoretical range of a combustion-engine vehicle from usable tank volume and average fuel consumption per 100 km.

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22K = v·Preis (Definition; Dubbel Kraftfahrzeugtechnik Q 11.2 nur als Kontext)

Fuel Cost per 100 km Calculator

Calculate fuel cost per 100 km driven from average consumption and fuel price.

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23F = m·g/n

Pulley Mechanical Advantage Calculator

Calculate the ideal pull force of a pulley block from load mass and number of supporting rope strands.

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24E = ½kx²

Spring Energy Calculator

Calculate the elastic energy stored in a linear spring from spring rate and deflection.

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25T = W / (n·sin θ)

Sling Angle Tension Calculator

Calculate the tension per leg of a multi-leg sling from total load, number of legs and sling angle.

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