Name: 3d support types for stability and motion
Uploaded: 2023-09-22T11:49:23.000Z
Duration: 1 min 27 s
Channel: JoVE

Makine mühendisliğinde uygulamalarına bağlı olarak çeşitli destekler kullanılmaktadır. Üç boyutlu bir kuvvet sistemindeki bu destek reaksiyonları, sistemin çevrilmesini ve dönmesini engeller.
Ağırlık kaldıran robotik bir kol düşünün. Burada, A eklemi bir bilye ve soket eklemidir. Bilye ve soket mafsalındaki dönüşü kısıtlayacak bir an olmadığı için kol herhangi bir eksen etrafında dönmekte serbesttir. Bununla birlikte, üç boyut boyunca üç reaksiyon kuvveti nedeniyle öteleme hareketini kısıtlar.
Alternatif olarak, koldaki bağlantı B, tek bir düz pim desteğidir. Bu destek, üç reaksiyon kuvveti ve iki çift moment oluşturur ve pimin ekseni boyunca dönme hareketine izin verir.
Robotik kolun tabanı, her üç yönde de reaksiyon kuvvetlerine ve momentlere sahip sabit bir destektir.
Diğer bir destek türü, bir kapıda yaygın olarak kullanılan menteşe desteğidir. Destekteki üç reaksiyon kuvveti kapının öteleme hareketini kısıtlarken, iki moment kapının dönüşünü kısıtlar.

<ol>
	<li>Hibbeler, R.C. (2016). Mühendislik Mekaniği \u2012 Statik ve Dinamik. Hoboken, New Jersey: Pearson Prentice Salonu. sayfa 245-248</li>
	<li>Bira, F.P.; Johnston, E.R.; Mazurek, D.F; Cromwell, P.J. ve Öz, B.P. (2019). Mühendisler için Vektör Mekaniği \u2012 Statik ve Dinamik. New York: McGraw-Tepesi. sayfa 208</li>
	<li>Meriam, J.L.; Kraige, L.G. ve Bolton, J.N. (2020). Mühendislik Mekaniği \u2012 Statik. Hoboken, New Jersey: John Wiley. sayfa 145</li>
</ol>

Üç boyutta destek tepkimeleri

Support Reactions in Three Dimensions

Üç boyutta destek tepkimeleri, çeşitli yapıların ve sistemlerin kararlılığını ve dengeyi korumaya yardımcı olur. Bu tepkimeler, sistemin dış kuvvetlere dayanabileceği ve amacına uygun şekilde etkin ve güvenli bir şekilde çalışabileceği konusunda tasarımı sağlar. Üç boyutta destek tepkimeleri sağlayan bazı destekler aşağıda tartışılmıştır:

Top ve yataklama ekleminin serbest herhangi bir eksen etrafında dönmesine izin veren desteklerden biridir. Bu dönmenin serbestliği, top ve yataklama ekleminde dönme hareketini kısıtlayan bir moment olmaması nedeniyle mümkündür. Bununla birlikte, eklemler üç boyut boyunca üç tepki kuvveti nedeniyle çevrimsel hareketi kısıtlar.

Diğer bir destek türü tek düzgün pim desteğidir. Bu destek, translasyonel hareketi sınırlayan üç tepki kuvveti ve iki çift moment oluşturarak pim ekseni etrafında dönme hareketine izin verirken diğer yönlere hareketi kısıtlar.

Sabit destekler, üç yönde tepki kuvveti ve moment sağlar. Bu tür bir destek, tüm sistemin çeşitli yükler ve koşullar altında kararlı ve güvenli kalmasını sağlar ve sistemin işlevselliğini tehlikeye atabilecek istenmeyen hareket veya deformasyonları önler.

Mekanik mühendislikte sıkça kullanılan başka bir destek türü menteşe desteğidir ve genellikle kapılar ve benzeri uygulamalarda kullanılır. Menteşe destekle, destekte üç tepki kuvveti kapının translasyonel hareketini kısıtlar, iki moment ise kapının dönmesini kısıtlar. Bu düzenleme, kapının bir eksil etrafında dönmesine ve kararlılık ve kontrolünü korumasına olanak tanır.

Üç Boyutta Destek Tepkimeleri

Üç boyutlu destek reaksiyonları, çeşitli yapı ve sistemlerin kararlılığını ve dengesini korumaya yardımcı olur. Bu reaksiyonlar sistemi engeller ...

Education

JoVE Core

Mechanical Engineering

Makine Mühendisliği

Unit 1

Ünite 1

Equilibrium of a Rigid Body

Katı Cismin Dengesi

KEY TERMS AND CONCEPTS

TEMEL TERİMLER VE KAVRAMLAR

3d support types for stability and motion

Support reactions in three dimensions keep structures stable and in equilibrium. They stop unwanted translation and rotation, so a design can handle external forces safely and work as intended. These reactions are important in many structures and systems.

A ball and socket joint is one support that allows free rotation about any axis. It does not provide a moment that resists turning. At the same time, it restricts motion in space with three reaction forces along the three dimensions.

A single smooth pin support works differently. It creates three reaction forces and two couple moments. This setup allows rotation along the axis of the pin while restricting movement in the other directions.

Fixed supports provide reaction forces and moments in all three directions. They help keep the system stable and secure under different loads and conditions. This also helps prevent unwanted movement or deformation that could affect function.

Hinge support is another common support used in mechanical engineering, especially in doors and similar applications. It produces three reaction forces that block translational motion of the door. Two moments restrict the door’s rotation, but it can still turn about one axis.

3D Support Types for Stability and Motion

3d-support-types-for-stability-and-motion

conditions of equilibrium

Rigid Body Force Balance in Equilibrium

Rigid body equilibrium depends on a balance of external forces and moments. A rigid body is in equilibrium when it has no translational motion and no rotational motion. This happens when the net force and the net couple acting on the body are both zero. Internal forces are not used when checking equilibrium. These forces act in equal and opposite pairs inside the body, so they cancel each other. Because of that, they do not affect the overall motion or change in motion of the rigid body. The...

support reactions

Types of Structural Supports

Types of structural supports control how a coplanar force system moves and reacts under load. A coplanar force system is a set of forces that all lie in the same plane. The supports create reactions at the point of contact. These reactions help keep a structure stable under external forces. Supports work by stopping translation with an equal and opposite force. They can also stop rotation by applying a couple moment in the opposite direction. In structural design, these reactions are important...

internal forces and center of gravity

Forces Inside a Body and Balance

Internal forces and the center of gravity help explain how objects stay in balance. These mechanics ideas matter for structures, machines, and vehicles that must remain stable under different loads and conditions. Internal forces are created inside a body when its particles interact. They can appear as tension, compression, or shear forces. These forces act in collinear pairs with equal magnitude and opposite direction. Between connected parts, they cancel each other and help keep the body in...

alternative sets of equilibrium equations

alternative-sets-of-equilibrium-equations

Equilibrium Conditions for a Supported Plate

Equilibrium conditions for a supported plate are used to describe when forces and moments balance. In this state, the plate has no net movement and no rotation. Engineers use these equations to study how structures behave under external loads. In many cases, the standard equilibrium equations are enough. But some systems need an alternative set of equations to match the geometry of the support points. A rectangular plate supported at points A, B, and C is one example. For this plate, the...

two force member

Two-Force Body Equilibrium

A two-force body is a rigid body acted on by only two external forces. In equilibrium, those two forces must have the same magnitude, the same line of action, and opposite directions. This balance is what keeps the body at rest. For a plate with forces F1 and F2 applied at points A and B, equilibrium means the sum of moments about any axis is zero. If moments are summed about point A, the moment from F2 must be zero. That means the line of action of F2 must pass through point A. The same idea...

three force member

Solving a Three-Force Member Example

A three-force member is a rigid body acted on by three forces at three points. The forces must have concurrent lines of action. If the forces are parallel, their lines of action stay parallel instead. A dumpster provides the example used here. It is connected to a pin support at point A and to a pin on a hydraulic cylinder at point B. The hydraulic cylinder acts as a two-force member in equilibrium. The dumpster weight acts through the center of gravity, and the support reaction acts at point...

equations of equilibrium in three dimensions

equations-of-equilibrium-in-three-dimensions

Checking Force Balance in 3D Structures

Checking force balance in 3D structures is a key step when a system is at rest. The vector and scalar equations of equilibrium are used to test whether a body is stable and will not collapse or fall apart. These equations give a clear way to study the forces acting on a body. The vector equations of equilibrium require the vector sum of all external forces on a body to equal zero. They also require the vector sum of the couple moments and the moments of all forces about a point to equal zero.

support reactions in three dimensions

Support reactions in three dimensions keep structures stable and in equilibrium. They stop unwanted translation and rotation, so a design can handle external forces safely and work as intended. These reactions are important in many structures and systems. A ball and socket joint is one support that allows free rotation about any axis. It does not provide a moment that resists turning. At the same time, it restricts motion in space with three reaction forces along the three dimensions. A...

constraints and statical determinacy

Constraints in Structural Equilibrium

Constraints in structural engineering control how a body can move and help keep it in mechanical equilibrium. A constraint is a restriction on motion. When the right number of constraints is used, the system can stay balanced with the fewest supports needed. A system with the proper number of supports is called statically determinate. In that case, the unknown reaction forces can be found from equations of equilibrium. These systems are the easiest to analyze and design because the forces can...

key terms and concepts

Learn how ball and socket joints, smooth pin supports, fixed supports, and hinge supports control movement and keep 3D structures stable under load.

3D Support Types for Stability and Motion | JoVE K12

JoVE Core Makine Mühendisliği, denge, kuvvetler, kafes kiriş analizi ve yapısal mekanik gibi temel konuları kapsayan kısa, anlaşılması kolay animasyonlu videolar sunar. Gerçek dünyadaki uygulamalarını keşfedin ve bilim insanlarının önderlik ettiği deneylerle bu kavramların uygulanmasına tanık olun.

mechanical engineering

3D Support Types for Stability and Motion

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