BeginnerTopic 8 of 106Engineering Mechanics
Couples
Two equal and opposite parallel forces produce pure rotation independent of the reference point.
In depth
A couple is a pair of equal, opposite, non-collinear forces; its moment F·d is the same about every point. It can be moved anywhere in the body without changing the effect. Examples: steering wheel turning, a screwdriver.
Key points
- Net force is zero
- Pure rotation effect
- Couple moment is a free vector
ExampleTwo 30 N forces 0.2 m apart give a couple of 6 N·m.
What is Couples?
Two equal and opposite parallel forces produce pure rotation independent of the reference point.
Why is it important to understand couples?
A couple is the simplest way to apply pure rotation, and it explains why steering wheels and wrench handles work as they do.
Why does a couple have the same effect about any point?
The two forces produce zero net force, so the moment is the same wherever you take it. Only the rotation matters.
How do I compute the moment of a couple?
Multiply one of the forces by the perpendicular distance between the two lines of action.
How is Couples used in practice?
Typical applications include applying torque to a valve handle with two hands, modelling the turning effect of two opposed forces on a shaft and describing the rotation caused by a motor's electromagnetic forces on a coil.
What should I learn before Couples?
Study "Moment of a force" first (topic 7 of 106 in Engineering Mechanics). It covers the groundwork this topic builds on.
What are the key points of Couples?
Net force is zero. Pure rotation effect. Couple moment is a free vector.
Can you give an example of Couples?
Two 30 N forces 0.2 m apart give a couple of 6 N·m.
What comes after Couples?
The next topic is "Equilibrium of rigid bodies", which builds directly on this one.
How difficult is Couples?
It is classed as Beginner in Engineering Mechanics (topic 8 of 106). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.