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*The purpose of this course is to review the material covered in the Fundamentals of Engineering FE exam to enable the student to pass it. It will be presented in modules corresponding to the FE topics, particularly those in Civil and Mechanical Engineering.*

- 6-Moments Couples and Force Couple Systems_Partb.ppt
- Engineering Mechanics: Statics ENG2008 Lecture 6: Couples and Force-Couple Systems
- Couple (mechanics)
- Composition of forces in engineering mechanics

*In mechanics , a couple is a system of forces with a resultant a.*

## 6-Moments Couples and Force Couple Systems_Partb.ppt

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## Engineering Mechanics: Statics ENG2008 Lecture 6: Couples and Force-Couple Systems

Force is an agent which changes or tends to change the state of rest or of uniform motion of a body upon which it acts. A Force represents the action of one body on another. Force is a vector quantity i. Moment of a force about a point is defined as the product of the force and the perpendicular distance of the line of action of the force from that point. Hence moment may also be defined as the turning effect produced by a force. Moment PDF Download.

The moment or torque of a force about a turning point is the force multiplied by the perpendicular distance to the force from the turning point. Example; A 10N force acts at a perpendicular distance of 0. What is the moment of the force? A couple is two equal forces which act in opposite directs on an object but not through the same point so they produce a turning effect. The moment or torque of a couple is calculated by multiplying the size of one of the force F by the perpendicular distance between the two forces s. Link to centre of mass. Moments are measured in newton metres Nm.

## Couple (mechanics)

Every set of forces and moments has an equivalent force couple system. This is a single force and pure moment couple acting at a single point that is statically equivalent to the original set of forces and moments. Equivalent Force Couple System Every set of forces and moments has an equivalent force couple system. Any set of forces on a body can be replaced by a single force and a single couple acting that is statically equivalent to the original set of forces and moments. This set of an equivalent force and a couple is known as the equivalent force couple system.

In this situation, the sum of the forces in each direction is zero, so a couple does not affect the sum of forces equations A force couple will however tend to rotate the body it is acting on Moment Due to a Force Couple By multiplying the magnitude of one Force by the distance between the Forces in the Couple, the moment due to the couple can be calculated. Pay attention to the sense of the Moment Right Hand Rule Moment of a Couple Two couples will have equal moments if 2 2 1 1 d F d F the two couples lie in parallel planes, and the two couples have the same sense or the tendency to cause rotation in the same direction. Do example Why do we use Force Couples? The reason we use Force Couples to analyze Moments is that the location of the axis the Moment is calculated about does not matter The Moment of a Couple is constant over the entire body it is acting on Equivalent couples two couples that produce the same magnitude and direction example. Couples are Free Vectors The point of action of a Couple does not matter The plane that the Couple is acting in does not matter All that matters is the orientation of the plane the Couple is acting in Therefore, a Force Couple is said to be a Free Vector and can be applied at any point on the body it is acting Example: Force Couple 4.

### Composition of forces in engineering mechanics

In this situation, the sum of the forces in each direction is zero, so a couple does not affect the sum of forces equations A force couple will however tend to rotate the body it is acting on Moment Due to a Force Couple By multiplying the magnitude of one Force by the distance between the Forces in the Couple, the moment due to the couple can be calculated. Pay attention to the sense of the Moment Right Hand Rule Moment of a Couple Two couples will have equal moments if 2 2 1 1 d F d F the two couples lie in parallel planes, and the two couples have the same sense or the tendency to cause rotation in the same direction. Do example Why do we use Force Couples? The reason we use Force Couples to analyze Moments is that the location of the axis the Moment is calculated about does not matter The Moment of a Couple is constant over the entire body it is acting on Equivalent couples two couples that produce the same magnitude and direction example. Couples are Free Vectors The point of action of a Couple does not matter The plane that the Couple is acting in does not matter All that matters is the orientation of the plane the Couple is acting in Therefore, a Force Couple is said to be a Free Vector and can be applied at any point on the body it is acting Example: Force Couple 4.

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Couple , in mechanics , pair of equal parallel forces that are opposite in direction. The only effect of a couple is to produce or prevent the turning of a body. The turning effect, or moment, of a couple is measured by the product of the magnitude of either force and the perpendicular distance between the action lines of the forces. The steering wheel of an automobile is turned by hand forces that constitute a couple, and a screwdriver is twisted by the equivalent of a couple.

*Джабба взял в руки распечатку.*

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supports, Shear Force and Bending Moment diagram, relation among load-shear force- efficiency, work of a force/couple (springs etc.) of a force F applied at.

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Copies of the classnotes are on the internet in PDF format as given below.