Name: square-thread screw mechanics and friction
Uploaded: 2023-09-22T11:49:29.000Z
Duration: 1 min 17 s
Channel: JoVE

Die meisten Schrauben zeichnen sich durch einen spiralförmigen Grat aus und werden häufig als Befestigungselemente verwendet; Vierkantgewindeschrauben werden häufig in Maschinen eingesetzt, um Kraft oder Bewegung zwischen Teilen zu übertragen.
Stellen Sie sich einen Wagenheber mit einer Vierkantgewindeschraube vor, die eine Last trägt. Wenn eine Kraft auf den Griff ausgeübt wird, dreht sich die Schraube und die Last wird angehoben.
Die Schraube kann als zylindrische Welle mit einem geneigten quadratischen Grat betrachtet werden, der darauf gewickelt ist.
Der Abstand zwischen den Spitzen zweier benachbarter Gewinde ist die Steigung, und der Weg, den die Schraube in einer Umdrehung zurücklegt, wird als Steigung bezeichnet.
Wenn der Faden um eine Umdrehung abgewickelt wird, ähnelt er einer schrägen Rampe mit einem Winkel. Der Neigungswinkel des Fadens wird als Steigungswinkel bezeichnet und wird als mittlerer Fadenradius und Steigung ausgedrückt.
Da die Reibungskraft zwischen den Oberflächen unabhängig von der Kontaktfläche ist, wird die Schraube als Block über dem Gewinde des Wagenhebers dargestellt.
Der Winkel zwischen der Reaktionskraft und der Senkrechten zum Gewinde ist der Reibungswinkel.

<ol>
	<li>Hibbeler, R.C. (2016). Technische Mechanik: Statik. Vierzehnte Auflage, New Jersey: Pearson. S. 432.</li>
	<li>Meriam, J.L., Kraige, L.G. und Bolten, J.N. (2016). Technische Mechanik: Statik und Dynamik. Achte Auflage, Singapur: John Wiley & Sons. S. 354-355.</li>
	<li>Bier, F.P., Johnston, E.R., Mazurek, D.F., Cornwell, P.J. und Self, B.P. (2016). Vektormechanik für Ingenieure. Elfte Auflage, New York: McGraw-Hill Education. S. 450-451.</li>
</ol>

reibungskräfte auf schrauben

Schrauben sind durch einen spiralförmigen Grat bekannt, der um eine zylindrische Welle gewickelt ist. Sie werden üblicherweise als Befestigungselemente verwendet, um Objekte zusammenzuhalten oder um Kraft und Bewegung in Maschinen zu übertragen. Eine Art von Schraube, die besonders nützlich ist, um Kraft zu übertragen, ist die Vierkantschraube. Ein Wagenheber mit einer Vierkantschraube ist eine mechanische Vorrichtung, die schwere Lasten anhebt, indem eine Kraft auf den Griff ausgeübt wird. Wenn die Kraft angewendet wird, dreht sich die Schraube und hebt die Last an. Die Schraube kann als zylindrische Welle mit einem geneigten Vierkantgrat oder -gewinde um sie herum betrachtet werden. Dieses Gewinde hat spezifische Eigenschaften, die ihre Funktionalität bestimmen. Der Abstand zwischen zwei benachbarten Gewinden an einer Schraube wird als Steigung bezeichnet. Diese Messung ist entscheidend, da sie bestimmt, wie eng die Gewinde zusammengedrückt sind. Eine weitere wichtige Eigenschaft einer Schraube ist ihr Vorschub, der sich auf die Entfernung bezieht, die die Schraube in einer vollständigen Umdrehung voranschreitet. Wenn das Gewinde einer Schraube um eine Umdrehung abgewickelt wird, ähnelt es einer geneigten Rampe mit einem spezifischen Winkel. Dieser Neigungswinkel, bekannt als Steigungswinkel, kann in Bezug auf den mittleren Gewindradius (den durchschnittlichen Abstand von der Mitte der Schraube zur Mittellinie des Gewindes) und den Vorschub ausgedrückt werden. Der Steigungswinkel ist ein entscheidender Parameter, da er die Effizienz der Schraube und die benötigte Kraft zum Drehen beeinflusst. Um die Mechanik einer Vierkantschraube zu verstehen, ist es hilfreich, die Reibungskräfte zu beachten, die auf die Schraube wirken. Da die Reibungskraft zwischen zwei Oberflächen unabhängig von der Kontaktfläche ist, kann die Schraube als Block über dem Gewinde des Wagenhebers dargestellt werden. Der Winkel zwischen der Reaktionskraft (der vom Gewinde auf den Block ausgeübten Kraft) und der Normalen zum Gewinde (der senkrechten Richtung zur Gewindeoberfläche) wird als Reibungswinkel bezeichnet. Dieser Winkel wird durch die in Kontakt stehenden Materialien und die verwendete Schmierung bestimmt. Die Reibung zwischen der Schraube und der von ihr getragenen Last spielt eine entscheidende Rolle in der Effizienz und Funktionalität der Vierkantschraube. Die Reibungskräfte müssen überwunden werden, um die Schraube zu drehen und die Last anzuheben. Diese Kräfte bieten jedoch auch Stabilität und verhindern, dass sich die Schraube dreht und die Last fällt, selbst wenn die Kraft vom Griff entfernt wird. Diese selbsthemmende Eigenschaft ist besonders nützlich in Anwendungen, bei denen die Schraube die Last ohne kontinuierliche Eingabekraft halten muss. Aufgrund ihrer hohen Effizienz und Selbsthemmungsfähigkeiten werden Vierkantschrauben oft in Maschinen eingesetzt, um Kraft oder Bewegung zwischen Teilen zu übertragen. Beispiele für solche Anwendungen sind Wagenheber, Klemmen, Schraubstöcke und verschiedene Pressen. Diese Schrauben sind darauf ausgelegt, schwere Lasten zu tragen und eine reibungslose, kontrollierte Bewegung zu ermöglichen.

Reibungskräfte auf Schrauben

Schrauben zeichnen sich durch einen spiralförmigen Grat aus, der als Gewinde bezeichnet wird und um eine zylindrische Welle gewickelt ist. Sie werden häufig als Befestigungselemente verwendet, um Gegenstände zu halten ...

Education

Lehre

JoVE Core

Mechanical Engineering

Maschinenbau

Unit 1

Einheit 1

Friction

Reibung

KEY TERMS AND CONCEPTS

KERNBEGRIFFE UND KONZEPTE

Frictional Forces on Screws

square-thread screw mechanics and friction

Square-threaded screws use a helical thread to turn force into lifting motion. They are common fasteners, but they are also useful for transmitting power and motion in machines. A jack with a square-threaded screw lifts heavy loads when force is applied at the handle and the screw turns.

A screw can be viewed as a cylindrical shaft with an inclined square ridge wrapped around it. The distance between two neighboring threads is called the pitch. The lead is the distance the screw advances in one full revolution, and the lead angle is the angle of that advance when the thread is unwrapped into a ramp.

The lead angle depends on the mean thread radius, which is the average distance from the center of the screw to the centerline of the thread, and on the lead itself. This angle matters because it affects screw efficiency and the force needed to turn the screw. To study a square-threaded screw, the frictional forces acting on it must also be considered.

Because friction does not depend on contact area, the screw can be modeled as a block moving over the thread of the jack. The angle between the reaction force from the thread and the normal to the thread surface is called the angle of friction. It depends on the materials in contact and on any lubrication used between them.

Friction between the screw and the load must be overcome to raise the load. At the same time, that same friction helps keep the screw from turning back when the handle force is removed. This self-locking feature is useful when the load must stay in place without continuous force.

Square-threaded screws are valued for high efficiency and self-locking behavior. They are used in jacks, clamps, vises, and presses. These machines rely on the screw to hold heavy loads and produce smooth, controlled motion.

Square-Thread Screw Mechanics and Friction

square-thread-screw-mechanics-and-friction

dry friction

Dry Friction in Crates and Everyday Motion

Dry friction appears when two solid surfaces touch and try to move past each other. Students can see it when they walk, slide a box across a table, or rub their hands together. Even though it is common, the forces behind it are not easy to see. A simple crate on a rough horizontal floor helps explain the idea. When an external force pushes the crate sideways, two main forces act on it. The normal force acts perpendicular to the surface and helps balance the crate’s weight, while the frictional...

static friction

Static Friction at the Point of Slip

Static friction is the force that keeps two surfaces from starting to slide past each other. It acts when there is a tendency for motion, but not yet actual slipping. This force helps explain everyday actions like walking on the ground and driving a car. A towing example shows how static friction changes as force is applied. A truck pulls a car with a rope, and the car stays still at first. The car is in static equilibrium, which means the forces on it are balanced. Gravity and the normal...

kinetic friction

Sliding Friction Between Moving Surfaces

Kinetic friction is the sliding friction that acts when two surfaces move against each other. It opposes relative motion and acts parallel to the contact surface, in the opposite direction of travel. In the truck and car example, the car first stays still because static friction holds it in place. When the truck’s force becomes greater than the limiting static frictional force, the friction at the contact surface drops to a lower value. The car then begins to slide, and its speed increases. At...

characteristics of dry friction

Static and Kinetic Dry Friction

Dry friction is the resistance between two solid surfaces that move against each other without lubrication or any fluid. A common example is a gardener pushing a wheelbarrow across the ground. The wheel and the ground create dry friction that slows the motion. Before the wheelbarrow starts to move, static friction acts at the contact surface. Static friction is the force that opposes motion before slipping begins, and it helps keep the wheelbarrow stable. It is present only when there is no...

types of friction problems

Dry Friction in Crate, Ladder, and Frame Problems

Dry friction problems often focus on crates, ladders, and frames that are close to slipping. Dry friction is the force that resists relative motion, or the tendency for motion, between two surfaces in contact. In many physics and engineering problems, this force helps keep an object still or defines the point where motion is about to begin. One common case has no clear impending motion. A force may be applied to a crate, but the crate stays at rest. The friction force between the floor and the...

friction: problem solving

Friction on a Banked Road

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wedges

Wedges and Self-Locking Stability

A wedge is a simple machine that can lift, support, and split heavy objects. It can also change the height of structural or mechanical parts. Because it amplifies force, a wedge makes it easier to move or hold large loads with less effort. One example is lifting a heavy slab. In that case, the wedge turns the applied force into a much larger force that acts almost perpendicular to the original push. That force change helps raise the load without requiring a large input force. To analyze wedge...

frictional forces on screws

Square-threaded screws use a helical thread to turn force into lifting motion. They are common fasteners, but they are also useful for transmitting power and motion in machines. A jack with a square-threaded screw lifts heavy loads when force is applied at the handle and the screw turns. A screw can be viewed as a cylindrical shaft with an inclined square ridge wrapped around it. The distance between two neighboring threads is called the pitch. The lead is the distance the screw advances in...

upward impending motion

Screw Jack Force and Friction Analysis

A square-threaded screw jack lifts heavy loads by turning handle force into a twisting moment. Its upward motion depends on overcoming static friction between the screw threads and the jack. To study this motion, the thread can be treated as if it were a block on the groove of the jack after the thread is completely unraveled. A free-body diagram helps show the forces acting on this simplified system. The force at the handle creates a horizontal force that pushes the movable thread up the...

self-locking screw

Screw Jack Self-Locking Behavior

A square-threaded screw jack can hold a heavy load because of its self-locking behavior. This feature makes the device more reliable when it is used to lift large weights or apply a strong force. If the screw keeps its position after the turning moment is removed, the jack is self-locking. Self-locking happens because friction changes the way the forces act on the thread. The friction force reverses direction, and the reaction force moves to the other side of the thread’s normal. In this case,...

screw: problem solving

Screw Torque and Self-Locking

Screw torque and self-locking are analyzed by looking at a threaded screw shaft and a plate gear. The shaft has a mean radius and a lead. The plate gear also has a mean radius. The coefficient of static friction between the screw and the gear is part of the setup. The first step is to find the static friction angle, φ. This angle is defined by the coefficient of static friction. Next, the lead angle is calculated from the lead and the mean radius of the shaft. It gives the screw geometry...

frictional forces on flat belts

Flat Belt Tension and Friction

Flat belt tension and friction control how power moves from one pulley to another. Flat belts are used in many industrial systems to transmit power between pulleys. As the belt wraps around the pulleys, the tension changes because of friction between the belt and the pulley surface. When a pulley turns counterclockwise, the belt side moving away from the pulley has the higher tension, called T2. The side moving toward the pulley has the lower tension, called T1. To estimate these tensions, the...

flat belts: problem solving

Flat Belt Forces and Pulley Moment

Flat belts transmit power from one pulley to another, and the forces on the belt help determine the moment on a pulley. In this example, a belt wraps around pulleys A and B, with radii of 30 cm and 10 cm. The belt meets the pulleys at a 20 degree angle from the horizontal, which sets up the force balance in the system. As pulley B rotates clockwise, it drives pulley A. That motion creates tension T2 on one side of the belt and tension T1 on the other side. The belt-to-surface contact angle, β,...

pivot bearings

Axial Load Support in Pivot Bearings

Pivot bearings support axial loads on a rotating shaft. A bearing helps two parts move relative to each other while reducing friction and wear. In this design, the pivot is placed at the end of the shaft to carry the axial thrust. The pivot surface can be flat, conical, or truncated, depending on the application. In a flat pivot bearing, the axial load is spread over the bearing area. The pressure is uniform and can be found by dividing the load by the area. To study the forces more closely,...

collar bearings

Friction Torque in Collar Bearings

Collar bearings support axial loads on rotating shafts, and their friction helps determine the torque needed to start motion. They are used in many machines and may have a single collar or multiple collars, depending on the application and load needs. For a single collar bearing under an axial load, the contact area is the ring-shaped region between the external radius and the internal radius of the collar. If the bearing is assumed to support the load evenly, the uniform normal pressure is...

journal bearings

Friction Moment in Journal Bearings

Journal bearings support rotating shafts and axles while helping keep them stable. They are used in machines such as engines, turbines, and pumps. Their job is to reduce friction, wear, and vibration. A journal bearing works by keeping a thin film of lubricant between the bearing surface and the rotating shaft. This film limits direct contact and lowers frictional force. The video uses a rope winch with dry or only partly lubricated journal bearings to show the idea. As the spool turns...

bearings: problem solving

Double-Collar Bearing Torque Calculations

Double-collar bearing torque calculations show how friction and axial force affect bearing performance. Engineers use these calculations to test whether the bearing can handle the forces and moments it experiences during operation. This helps them choose and design bearings for specific applications and setups. For a double-collar bearing with set dimensions and an axial force applied, the maximum frictional moment can be found with a standard expression. The equation is rearranged, and the...

rolling resistance

Tire Deformation and Rolling Resistance

Tire deformation and rolling resistance explain why a rolling wheel still needs a driving force. When a solid cylinder or tire rolls on a rigid surface, the normal force is perpendicular to the surface at the contact point. But real materials are not perfectly rigid, so the surface pushes back with a spread of normal pressures instead of one single force. A hard cylinder on a softer surface compresses the material under it. As the cylinder moves forward, the material in front of the contact...

rolling resistance: problem solving

Lawn Roller Force Calculation

Rolling resistance is the force that makes a rolling object harder to move across a surface. It is also called rolling friction. It comes from deformation in the object and the surface that touch each other. Internal friction, hysteresis, and other energy losses in the materials also play a role. Because of this force, extra energy is needed to keep a wheel, tire, or ball moving. The video applies this idea to a lawn roller. The roller has a mass of 100 kg, a radius of 25 cm, and a coefficient...

key terms and concepts

Learn how square-threaded screws lift heavy loads, use pitch and lead, and stay self-locking through friction in jacks, clamps, vises, and presses.

Square-Thread Screw Mechanics and Friction | JoVE K12

JoVE Core Mechanical Engineering offers concise, easy-to-understand animated videos covering key topics such as equilibrium, forces, truss analysis, and structural mechanics. Explore their real-world applications, and witness these concepts in action through scientist-led experiments.

mechanical engineering

Square-Thread Screw Mechanics and Friction

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