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Chapter 4

Force System Resultants

Moment d’une force : formulation scalaire
Moment d’une force : formulation scalaire
The moment of a force, also known as torque, measures the ability of the force to create rotational motion in a body about an axis. It is a vector ...
Moment d’une force : la résolution de problèmes
Moment d’une force : la résolution de problèmes
Understanding the scalar formulation of the moment of a force and applying it correctly through problem-solving is crucial in designing and analyzing ...
Moment résultant : formulation scalaire
Moment résultant : formulation scalaire
When multiple forces act on an object in two-dimensional space, the concept of the net moment can be used to understand the tendency of these forces to ...
Moment d’une force : formulation vectorielle
Moment d’une force : formulation vectorielle
The moment of force refers to the measure of the rotational tendency of a force. It occurs when a force is applied in such a way that it produces a ...
Forme cartésienne pour la formulation vectorielle
Forme cartésienne pour la formulation vectorielle
The Cartesian form for vector formulation is a process to calculate  the moment of force using the position and force vectors. The moment of force is ...
Moment résultant : formulation vectorielle
Moment résultant : formulation vectorielle
When a force is applied to an object, the tendency of the object to rotate about a point is known as its moment. If multiple forces are acting on an ...
Principe des moments
Principe des moments
The principle of moments, also known as Varignon's theorem, is a fundamental concept in physics and engineering that describes the equilibrium of a ...
Principe des moments : résolution de problèmes
Principe des moments : résolution de problèmes
The principle of moments is a fundamental concept in physics and engineering. It refers to the balancing of forces and moments around a point or axis, ...
Moment d’une force autour d’un axe : scalaire
Moment d’une force autour d’un axe : scalaire
The moment of a force about an axis is a crucial concept in mechanics that helps determine an object's rotational motion around a specific point or ...
Moment d’une force autour d’un axe : vecteur
Moment d’une force autour d’un axe : vecteur
When a force is exerted on an object, it can cause that object to rotate about an axis. The moment of a force, also known as torque, measures the ...
Couple
Couple
A couple is a pair of parallel forces equal in magnitude but in opposite directions. The forces are separated by a perpendicular distance, known as the ...
Couples : formulation scalaire et vectorielle
Couples : formulation scalaire et vectorielle
One might wonder how the captain of a large ship can navigate through the ocean with just a turn of the steering wheel. The answer lies in the concept of ...
Couples équivalents
Couples équivalents
In mechanical engineering, the concept of equivalent couples plays a crucial role in understanding and analyzing various mechanical systems. Two couples ...
Moment de couple : résolution de problèmes
Moment de couple : résolution de problèmes
The moment of couple is an essential concept in physics and engineering, used to calculate the rotational force, or torque, that is created when a couple ...
Système de forces et de couples
Système de forces et de couples
In the analysis of structural systems, it is common to encounter members subjected to various forces and couple moments. Simplifying these systems can ...
Simplification d’un système de force et de couple I
Simplification d’un système de force et de couple I
The concept of reducing a system of forces and couple moments to an equivalent system is essential in simplifying the analysis of rigid bodies. This ...
Simplification d’un système de force et de couple : II
Simplification d’un système de force et de couple : II
In a three-dimensional system, multiple forces can act on an object. These forces can be combined into a single equivalent force, known as the resultant ...
Charges réparties
Charges réparties
Distributed loads are a common type of load that engineers and scientists encounter in various practical situations. Distributed loads often refer to a ...
Charge le long d’un seul axe
Charge le long d’un seul axe
In structural engineering, the analysis of beams subjected to varying loads is a critical aspect of understanding the behavior and performance of these ...
Charges distribuées : résolution de problèmes
Charges distribuées : résolution de problèmes
Beams are structural elements commonly employed in engineering applications requiring different load-carrying capacities. The first step in analyzing a ...
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