# Equilibrium in concurrent force systems video introduction

There are many ways in which forces can be manipulated. It is often easier to work with a large, complicated system of forces by reducing it to an ever decreasing number of smaller problems. This is called the "resolution" of forces or force systems.

This is one way to simplify what may otherwise seem to be an impossible system of forces acting on a body. Certain systems of forces are easier to resolve than others. Coplanar force systems have all the forces acting in in one plane. They may be concurrent, parallel, non-concurrent or non-parallel.

All of these systems can be resolved by using graphic statics or algebra. A concurrent coplanar force system is a system of two or more forces whose lines of action ALL intersect at a common point. However, all of the individual vectors might not acutally be in contact with the common point. These are the most simple force systems to resolve with any one of many graphical or algebraic options. A parallel coplanar force system consists of two or more forces whose lines of action are ALL parallel.

This is commonly the situation when simple beams are analyzed under gravity loads. These can be solved graphically, but are combined most easily using algebraic methods. The last illustration is of a non-concurrent and non-parallel system.

This consists of a number of vectors that do not meet at a single point and none of them are parallel. These systems are essentially a jumble of forces and take considerable care to resolve. Almost any system of known forces can be resolved into a single force called a resultant force or simply a Resultant. The resultant is a representative force which has the same effect on the body as the group of forces it replaces. A couple is an exception to this It, as one single force, can represent any number of forces and is very useful when resolving multiple groups of forces.

One can progressively resolve pairs or small groups of forces into resultants.

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Then another resultant of the resultants can be found and so on until all of the forces have been combined into one force. This is one way to save time with the tedious "bookkeeping" involved with a large number of individual forces. Resultants can be determined both graphically and algebraically.

The Parallelogram Method and the Triangle Method. It is important to note that for any given system of forces, there is only one resultant. It is often convenient to decompose a single force into two distinct forces.

These forces, when acting together, have the same external effect on a body as the original force. They are known as components. Finding the components of a force can be viewed as the converse of finding a resultant. There are an infinate number of components to any single force.

And, the correct choice of the pair to represent a force depends upon the most convenient geometry. For simplicity, the most convenient is often the coordinate axis of a structure. This diagram illustrates a pair of components that correspond with the X and Y axis.

These are known as the rectangular components of a force. Rectangular components can be thought of as the two sides of a right angle which are at ninety degrees to each other.

The resultant of these components is the hypotenuse of the triangle. There are a few geometric relationships that seem common in general building practice in North America. These relationships relate to roof pitches, stair pitches, and common slopes or relationships between truss members.

Some of these are triangles with sides of ratios ofsqrt3, sqrt2, or This course is an introduction to learning and applying the principles required to solve engineering mechanics problems. Concepts will be applied in this course from previous courses you have taken in basic math and physics. The course addresses the modeling and analysis of static equilibrium problems with an emphasis on real world engineering applications and problem solving.

The copyright of all content and materials in this course are owned by either the Georgia Tech Research Corporation or Dr. Wayne Whiteman. Any other use of the content and materials, including use by other academic universities or entities, is prohibited without express written permission of the Georgia Tech Research Corporation. Interested parties may contact Dr. Wayne Whiteman directly for information regarding the procedure to obtain a non-exclusive license.

A good introductory course on the analysis of 2D and 3D statically determinant structures. Whiteman explains things in a very clear and straightforward manner. Love the corny jokes as well. In this section, students will learn the definition of a force and how to represent a force as a vector in two 2D and three 3D dimensions. Students will learn the concept of particle equilibrium and equilibrium of systems of particles. Concepts will be reinforced with example problems.

Loupe Copy. Introduction to Engineering Mechanics. Enroll for Free. From the lesson. Module 1: Course Introduction Module 2: Definition of a Force Module 3: Force Representation in 2D and Resultants The concept of equilibrium is introduced to describe a body which is stationary or which is moving with a constant velocity.

A body under such a state is acted upon by balanced forces and balanced couples only. There is no unbalanced force or unbalanced couple acting on it. The concept must be really understood by every student. The size of a particle is very small compared to the size of the system being analysed. Rigid body. A body is formed by a group of particles. The size of a body affects the results of any mechanical analysis on it. Most bodies encountered in engineering work can be considered rigid from the mechanical analysis point of view becase the deformations that take place within these bodies under the action of loads can be neglected when compared to other effects produced by the loads.

All bodies to be studied in this book are rigid, except for springs. Springs undergo deformations that cannot be neglected when acted upon by forces or moments. For the analyses ini this book, only the effects of the deformations of springs on a rigid body interacting with the springs are considered but the springs themselves will not be analysed as a body.

In general, a force acting on a particle tends to cause the particle to translate. Also, a force on on a body not only tends to cause the body to translate as in the case of the particle but also tends to cause the body to rotate about any axis which does not intersect with or is not parallel to the line of action of the force. To see what actually happens to any particular part of a structure, that part has to be isolated from the other parts of the body.

The part which is isolated is called a free body. A mechanical system is defined as a body system that can be isolated from other bodies.

The system can be formed by a single body, part of a body, or a group of connected bodies. The bodies forming the system can either be rigid or non-rigid. A mechanical system can be solid, fluid, or even a combination of solild and fluid. The isolation of a mechanical system is achieved by cutting and isolating the system from its surroundings. The isolation enables us to see the interactions between the isolated part and the other parts.

The part which has been cut imaginarilyforms a free body. A diagram which portrays the free body, complete with the system of external forces acting on it due to its interaction with the parts which have been removed, is called the free-body diagram FBD of the isolated part. The FBD of of a body system shows all loads acting on the external boundary of the isolated body. Assume that an analysis is to be carried-out on the whole structure of the arm when it is carrying a load as shown, where the weight of the component members of the arm can be nglected compared to the weight of the load. Assume also that all joints of the arm do not prevent rotation around the respective joints, i. Because the direction and the sense of every reactive force are not known, the direction nad sense shall be assumed.

The arm can be isolated from the body of the lift truck at point A where it is pinned to the body of the lorry and at point C where it is acted upon by the active forceof the hydraulic piston rod. Flange dimensions chart

To view this presentation, you'll need to allow Flash. Click to allow Flash After you enable Flash, refresh this page and the presentation should play. View by Category Toggle navigation. Products Sold on our sister site CrystalGraphics. Title: Concurrent force system. Tags: concurrent force sine system. Latest Highest Rated.

Title: Concurrent force system 1 Lecture 4 Concurrent force system Scalars and Vectors 2 Concurrent Force System A Force system is a group of forces If a force system acting on a body produces no external effect and the body experiences no change in motion, then the forces are in equilibrium.

F 0 The resultant of a force system is the simplest equivalent system to which the original system will reduce. A straight line extending through the point of application in the direction of the force is called the line of action.

From symmetry this value is 0. The force in each wire must be sqrt 0. Vectors Magnitude and direction. Force,moment, velocity, acceleration, etc. Use the parallelogram law for addition. Types free, sliding, fixed. Free Vector Line of action does not pass through a unique point. Sliding Vector Line of action passes through a unique point and the vector can be anywhere along its line of action.

Fixed Vector Line of action passes through a unique point and the point of application is confined to a fixed point on its line of action. Classification of forces surface forces friction body forces self weight uniformly distributed load superimposed dead load linearly varying distributed load water pressure concentrated load wheel of a truck 9 Force Systems Any number of forces constitute a force system.

A force system is concurrent if the lines of action of all the forces intersect at a common point. Cosine Law c2 a2babcos? Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.

And, best of all, most of its cool features are free and easy to use. You can use PowerShow. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free.It is of course, the product multiplication of mass of the particle and its acceleration.

Force is the manifestation of action of one particle on the other. It is a vector quantity. A Force has following basic characteristics.

Equilibrium Of Coplanar Force Systems Part I - Mechanics - FBD - Beams - Loads - Supports - Solved

Force is represented as a vector. Smaller magnitudes of forces are measured in newton N and larger in kilonewton KN. When the lines of action of all the forces of a system act along the same line, this force system is called collinear force system. When the lines of action of a set of forces lie in a single plane is called coplanar force system.

When the line of action of all the forces do not lie in one plane, is called Non-coplanar force system. The forces when extended pass through a single point and the point is called point of concurrency.

## Introduction to Separation Process Engineering

The lines of actions of all forces meet at the point of concurrency. Concurrent forces may or may not be coplanar.

When the forces of a system do not meet at a common point of concurrency, this type of force system is called non-concurrent force system. Parallel forces are the example of this type of force system. Non-concurrent forces may be coplanar or non-coplanar. A force system in which all the forces lie in a single plane and meet at one point, For example, forces acting at a joint of a roof truss see fig. These forces do not meet at a common point; however, they lie in a single plane, for example, forces acting on a beam as shown in Fig.

In this system, the forces lie in a different planes but pass through a single point. Example is forces acting at the top end of an electrical pole see Fig. Example 2. Determine the horizontal and vertical components of these tensions exerted by the guy wires on the pole at O.

Fig 2.What are some examples of normal force? Steps in a typical three force problem steps in treated as a concurrent force problem. Principle of statics, force systems, resolution and composition of forces. Problem determine the magnitude of p and f necessary to keep the concurrent force system in fig. Concurrent and non-concurrent forces. Statics of concurrent force resultant of coplanar forces: when we are examining a system involving two or with the help of the following examples. Concurrent forces 1 definition concurrent force systems : a concurrent force system contains forces example problems two forces p and q of chapter 4 equilibrium of coplanar force systems.

Concurrent force system studyyaar. Concurrent forces 1 definition concurrent force systems : a concurrent force system contains forces example problems two forces p and q of. Introduction to spatial concurrent forces. Example 2 mississippi state university. Chapter 4 equilibrium of coplanar force systems. Resultant of concurrent force system engineering.

### Concurrent Force System

Concurrent force system problem a lb box is held at rest on a smooth plane by a force p inclined at an angle problem equilibrium of force system. What is a concurrent force system and what are some. Given: two force systems as determine: whether or not equilibrium has been satisfied.

The study of concurrent forces with complete the example problem attached at draw a sketch of the components of the resultant in an xy coordinate system.

Concurrent control is a management technique used to monitor this type of concurrent control lets manufacturers catch and correct problems quickly while limiting. Chapter 2 review of forces and moments example forces exerted by a damper you will also need to specify the point where the force acts on your system or example 1: two tugboats are towing a cargo ship as shown below.

Concurrent Force System Example Problems.Why does chemical engineering require the study of separation techniques?

## Concurrent Force System Example Problems

Because separations are crucial in chemical engineering. A typical chemical plant is a chemical reactor surrounded by separators, as diagramed in the schematic flow sheet of Figure Raw materials are prepurified in separation devices and fed to the chemical reactor; unreacted feed is separated from the reaction products and recycled back to the reactor.

Products must be further separated and purified before they can be sold. This type of arrangement is very common. Examples for a variety of traditional processes are illustrated by Biegler et al. Figure Typical chemical plant layout. Since separations are ubiquitous in chemical plants and petroleum refineries, chemical engineers must be familiar with a variety of separation methods. We will first focus on some of the most common chemical engineering separation methods: flash distillation, continuous column distillation, batch distillation, absorption, stripping, and extraction.

These separations all contact two phases and can be designed and analyzed as equilibrium stage processes. Several other separation methods that can also be considered equilibrium stage processes will be briefly discussed. Chapters 17 and 18 explore two important separations—membrane separators and adsorption processes—that do not operate as equilibrium stage systems. The equilibrium stage concept is applicable when the process can be constructed as a series of discrete stages in which the two phases are contacted and then separated.

The two separated phases are assumed to be in equilibrium with each other. For example, in distillation, a vapor and a liquid are commonly contacted on a metal plate with holes in it.

Because of the intimate contact between the two phases, solute can transfer from one phase to another. Above the plate the vapor disengages from the liquid. Both liquid and vapor can be sent to additional stages for further separation. Assuming that the stages are equilibrium stages, the engineer can calculate concentrations and temperatures without detailed knowledge of flow patterns and heat and mass transfer rates. Although this example shows the applicability of the equilibrium stage method for equipment built with a series of discrete stages, we will see that the staged design method can also be used for packed columns where there are no discrete stages.

This method is a major simplification in the design and analysis of chemical engineering separations that is used in Chapters 2 to A second useful concept is that of a unit operation.

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The idea here is that although the specific design may vary depending on what chemicals are being separated, the basic design principles for a given separation method are always the same.

For example, the basic principles of distillation are always the same whether we are separating ethanol from water, separating several hydrocarbons, or separating liquid metals. Consequently, distillation is often called a unit operation, as are absorption, extraction, etc.

A more general idea is that design methods for related unit operations are similar. Since distillation and absorption are both liquid-vapor contacting systems, the design is much the same for both. This similarity is useful because it allows us to apply a very few design tools to a variety of separation methods. We will use stage-by-stage methods where calculation is completed for one stage and then the results are used for calculation of the next stage to develop basic understanding.

Matrix solution of the mass and energy balances will be used for detailed computer simulations. See All Related Store Items. Wankat Aug 29, This chapter introduces the importance of separations, the concept of equilibrium, mass transfer, and problem-solving methods. This chapter is from the book. Related Resources Store Articles. Join Sign In.