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Capstan equation

Index Capstan equation

The capstan equation or belt friction equation, also known as Eytelwein's formula, relates the hold-force to the load-force if a flexible line is wound around a cylinder (a bollard, a winch or a capstan). [1]

19 relations: Belt (mechanical), Belt friction, Bollard, Bowden cable, Capstan (nautical), Elasticity (physics), Exponential growth, Friction, Frictional contact mechanics, Geodesic curvature, Rock climbing, Serpentine belt, Sheet (sailing), Small-angle approximation, Tail, Tall ship, Top rope climbing, Turn (knot), Winch.

Belt (mechanical)

A belt is a loop of flexible material used to link two or more rotating shafts mechanically, most often parallel.

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Belt friction

Belt friction is a term describing the friction forces between a belt and a surface, such as a belt wrapped around a bollard.

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Bollard

A bollard is a sturdy, short, vertical post.

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Bowden cable

A Bowden cable is a type of flexible cable used to transmit mechanical force or energy by the movement of an inner cable relative to a hollow outer cable housing.

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Capstan (nautical)

A capstan is a vertical-axled rotating machine developed for use on sailing ships to multiply the pulling force of seamen when hauling ropes, cables, and hawsers.

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Elasticity (physics)

In physics, elasticity (from Greek ἐλαστός "ductible") is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed.

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Exponential growth

Exponential growth is exhibited when the rate of change—the change per instant or unit of time—of the value of a mathematical function is proportional to the function's current value, resulting in its value at any time being an exponential function of time, i.e., a function in which the time value is the exponent.

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Friction

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.

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Frictional contact mechanics

Contact mechanics is the study of the deformation of solids that touch each other at one or more points.

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Geodesic curvature

In Riemannian geometry, the geodesic curvature k_g of a curve \gamma measures how far the curve is from being a geodesic.

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Rock climbing

Rock climbing is an activity in which participants climb up, down or across natural rock formations or artificial rock walls.

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Serpentine belt

A serpentine belt, also known as a multi-vee, poly-v, or multi-rib belt, is a single, continuous belt used to drive multiple peripheral devices in an automotive engine, such as an alternator, power steering pump, water pump, air conditioning compressor, air pump, etc.

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Sheet (sailing)

In sailing, a sheet is a line (rope, cable or chain) used to control the movable corner(s) (clews) of a sail.

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Small-angle approximation

The small-angle approximation is a useful simplification of the basic trigonometric functions which is approximately true in the limit where the angle approaches zero.

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Tail

The tail is the section at the rear end of an animal's body; in general, the term refers to a distinct, flexible appendage to the torso.

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Tall ship

A tall ship is a large, traditionally-rigged sailing vessel.

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Top rope climbing

Top rope climbing (or top roping) is a style in climbing in which the climber is securely attached to a rope which then passes up, through an anchor system at the top of the climb, and down to a belayer at the foot of the climb.

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Turn (knot)

A turn is one round of rope on a pin or cleat, or one round of a coil.

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Winch

A winch is a mechanical device that is used to pull in (wind up) or let out (wind out) or otherwise adjust the "tension" of a rope or wire rope (also called "cable" or "wire cable").

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Redirects here:

Eytelwein's formula, Proof of the capstan equation.

References

[1] https://en.wikipedia.org/wiki/Capstan_equation

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