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

응용 프로그램에 따라 기계 공학에서 다양한 지원이 사용됩니다. 3차원 힘 시스템의 이러한 지지 반응은 시스템이 변환되고 회전하는 것을 방지합니다.
로봇 팔이 역기를 들어 올리는 것을 생각해 보십시오. 여기서, 조인트 A는 볼과 소켓 조인트입니다. 팔은 볼과 소켓 조인트의 회전을 제한할 순간이 없기 때문에 모든 축을 중심으로 자유롭게 회전할 수 있습니다. 그러나 3차원을 따라 세 가지 반력 때문에 평행 이동 운동을 제한합니다.
또는 암의 조인트 B는 하나의 부드러운 핀 지지대입니다. 이 지지대는 3개의 반력과 2개의 커플 모멘트를 생성하고 핀의 축을 따라 회전 운동을 허용합니다.
로봇 팔의 베이스는 고정 지지대이며 세 방향 모두를 따라 반력과 모멘트를 갖습니다.
또 다른 유형의 지지대는 문에 일반적으로 사용되는 힌지 지지대입니다. 지지대에서 세 개의 반력은 문의 평행 이동 운동을 제한하고 두 개의 모멘트는 문의 회전을 제한합니다.

<ol>
	<li>히벨러, R.C. (2016). Engineering Mechanics \u2012 정역학 및 동역학. 뉴저지 호보켄: 피어슨 프렌티스 홀. 쪽 245-248</li>
	<li>맥주, F.P.; 존스턴, ER; 마주렉, D.F; 크롬웰, PJ 및 셀프, BP (2019). 엔지니어를 위한 벡터 역학 \u2012 Statics and Dynamics. 뉴욕 : McGraw-Hill. 쪽 208</li>
	<li>메리암, J.L.; Kraige, L.G. 및 Bolton, J.N. (2020). 엔지니어링 역학 \u2012 정역학. 뉴저지 호보켄: 존 와일리. 쪽 145</li>
</ol>

3차원에서의 지지반력

Support Reactions in Three Dimensions

3차원에서의 지지반력은 다양한 구조와 시스템의 안정성과 평형을 유지하는 데 도움이 됩니다. 이러한 반응은 시스템이 병진 및 회전하는 것을 방지하여 설계가 외부 힘을 견디고 의도한 기능을 효율적이고 안전하게 수행할 수 있도록 보장합니다. 3차원에서의 지지반력을 제공하는 일부 지지물은 아래에서 논의됩니다: 
볼 앤 소켓 조인트는 어떤 축에 대해서도 자유로운 회전이 가능한 지지대 중 하나입니다. 볼 앤 소켓 조인트의 회전을 제한하는 순간이 없기 때문에 이러한 회전의 자유가 가능합니다. 그러나 조인트는 3차원을 따라 세 가지 반력으로 인해 병진 운동을 제한합니다.
다른 종류의 지지대는 싱글 스무스 핀 지지대입니다. 이 지지대는 3개의 반력과 2개의 외력 모멘트를 만들어 다른 방향으로의 이동을 제한하면서 핀의 축을 따라 회전 운동을 가능하게 합니다.
고정식 지지대는 세 방향을 따라 반력과 모멘트를 제공합니다. 이 유형의 지지대는 시스템 전체가 다양한 하중과 조건에서 안정적이고 안전하게 유지되도록 하여 시스템의 기능을 손상시킬 수 있는 원치 않는 움직임이나 변형을 방지합니다.
힌지 지지대는 기계 공학에서 사용되는 또 다른 일반적인 유형의 지지부로, 종종 문과 다른 유사한 응용 분야에 사용됩니다. 힌지 지지대를 사용하면 지지대에서 세 개의 반력이 문의 병진 운동을 제한하는 반면 두 개의 순간이 문의 회전을 제한합니다. 이 배열은 안정성과 제어를 유지하면서 문이 하나의 축을 중심으로 회전할 수 있도록 합니다.

3차원의 지지 반응은 다양한 구조와 시스템의 안정성과 평형을 유지하는 데 도움이 됩니다. 이러한 반응은 시스템을 방해합니다 ...

Education

교육

JoVE Core

Mechanical Engineering

기계공학

Unit 1

제1단원

Equilibrium of a Rigid Body

강체의 평형

KEY TERMS AND CONCEPTS

주요 용어 및 개념

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 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

3D Support Types for Stability and Motion

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