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Between a moment of force and a moment of couple lies the concept of torque. Torque is a measure of the force that can cause an object to rotate around an axis and is often used interchangeably with moments in mechanics. Moments of force and moments of couple are specific types of torques that act in different ways to produce rotational effects.

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1y ago

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Why is the moment of a couple a free vector?

A couple is a mechanical term defined as a system of forces that produces a resultant moment but not a resultant force. The moment caused by a couple is different than the moment caused by a single force. The moment of a force is dependent upon a reference point (i.e. if this reference point changes the moment also changes), therefore it is a fixed (or bound) vector. However, the moment (or torque) of a couple is independent of a reference point. In other words any reference point will give the same torque. This fact is proven in Varignon's Second Moment Thereom. Since the moment (or torque) of a couple is independent of a reference point, it may be represented as a free vector. This means that the vector may be freely moved in space.


What is couple force?

Two equal, but oppositely directed forces acting simultaneously on opposite sides of an axis of rotation. Since the translatory forces (forces that produce linear motion) cancel out each other, a force couple produces torque (rotatory forces) only. The magnitude of the force couple is the sum of the products of each force and its moment arm.


Is a fixing moment a couple?

A moment, M, is a rotational force measured in inch pounds; a couple is two forces, P, acting in opposite directions and separated by a distance, d. The product Pd is the couple and is measured in inch -pounds, and is an equivalent moment.


Which motion does a couple produce?

It has a resultant moment but does not have resultant force.


What can change when moment changes?

moment depends upon the force and the perpendicular distance between the force and the point where we are finding the moment. so when moment changes either the force will change or the perpendicular distance will change.


Shear force bending moment diagram?

a simple definition " IT'S A COUPLE OF FORCE HAVING EQUAL MAGNITUDE BUT OPPOSITE IN DIRECTION & HAVING VERY LESS DISTANCE BETWEEN THEM"


What is the difference between torque and couple?

The turning effect of a force is called torque or moment of the force. SI unit of torque is Newton-Metre. T = FL i.e Torque = Force x Moment arm A couple is formed by two unlike parallel forces of the same magnitude but not along the same line.


What is the difference between moment and couple?

A moment is a period of time and a couple means 2 of something. Here are some examples: I will be there in just a moment. Grab a couple movies to bring. So one is time and one is an amount.


WHAT WHAT Size of moment depends upon which factors?

The size of a moment depends on the magnitude of the force applied and the distance between the force and the pivot point. The greater the force or the longer the distance, the larger the moment will be.


Is couple vector or scalar quantity?

A couple is a vector quantity because it has both magnitude (related to the moment of force) and direction (related to the axis of rotation).


When calculating moment of force what two changes can be made to increase the size of the moments?

To increase the size of the moment of force, you can increase the magnitude of the applied force or increase the distance from the pivot point at which the force is applied. Both of these changes will result in a larger moment of force.


How do you calculate the moment capacity of a concrete section?

From ACI 318; 1) Solve for a (whitney compressive stress block) 2) Determine moment from force couple