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Statics



 
 
Statics is the branch of mechanics
Mechanics

Mechanics is the branch of physics concerned with the behaviour of physical body when subjected to forces or Displacement , and the subsequent effect of the bodies on their environment....
 concerned with the analysis of loads (force
Force

In physics, a force is that which can cause an object with mass to change its velocity. Force has both Euclidean_vector#Length of a vector and Direction , making it a Vector quantity....
, torque/moment
Torque

Torque is the tendency of a force to rotate an object about an axis . Just as a force is a push or a pull, a torque can be thought of as a twist....
) on physical system
Physical system

In physics the word system has a technical meaning, namely, it is the portion of the physical universe chosen for analysis. Everything outside the system is known as the environment, which in analysis is ignored except for its effects on the system....
s in static equilibrium, that is, in a state where the relative positions of subsystems do not vary over time, or where components and structures are at a constant velocity. When in static equilibrium, the system is either at rest, or its center of mass
Center of mass

The center of mass of a system of wiktionary:Particles is a specific point at which, for many purposes, the system's mass behaves as if it were concentrated....
 moves at constant velocity. The study of moving bodies is known as dynamics
Dynamics

Dynamics may refer to:In Physics:*Dynamics , in physics, dynamics refers to time evolution of physical processes*Analytical dynamics refers to the motion of bodies as induced by external forces...
.

By Newton's first law
Newton's laws of motion

Newton's laws of motion are three physical laws that form the basis for classical mechanics, Direct relationship the forces acting on a Physical body to the motion of the body....
, this situation implies that the net force and net torque
Torque

Torque is the tendency of a force to rotate an object about an axis . Just as a force is a push or a pull, a torque can be thought of as a twist....
 (also known as moment of force) on every body in the system is zero.






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Statics is the branch of mechanics
Mechanics

Mechanics is the branch of physics concerned with the behaviour of physical body when subjected to forces or Displacement , and the subsequent effect of the bodies on their environment....
 concerned with the analysis of loads (force
Force

In physics, a force is that which can cause an object with mass to change its velocity. Force has both Euclidean_vector#Length of a vector and Direction , making it a Vector quantity....
, torque/moment
Torque

Torque is the tendency of a force to rotate an object about an axis . Just as a force is a push or a pull, a torque can be thought of as a twist....
) on physical system
Physical system

In physics the word system has a technical meaning, namely, it is the portion of the physical universe chosen for analysis. Everything outside the system is known as the environment, which in analysis is ignored except for its effects on the system....
s in static equilibrium, that is, in a state where the relative positions of subsystems do not vary over time, or where components and structures are at a constant velocity. When in static equilibrium, the system is either at rest, or its center of mass
Center of mass

The center of mass of a system of wiktionary:Particles is a specific point at which, for many purposes, the system's mass behaves as if it were concentrated....
 moves at constant velocity. The study of moving bodies is known as dynamics
Dynamics

Dynamics may refer to:In Physics:*Dynamics , in physics, dynamics refers to time evolution of physical processes*Analytical dynamics refers to the motion of bodies as induced by external forces...
.

By Newton's first law
Newton's laws of motion

Newton's laws of motion are three physical laws that form the basis for classical mechanics, Direct relationship the forces acting on a Physical body to the motion of the body....
, this situation implies that the net force and net torque
Torque

Torque is the tendency of a force to rotate an object about an axis . Just as a force is a push or a pull, a torque can be thought of as a twist....
 (also known as moment of force) on every body in the system is zero. From this constraint, such quantities as stress
Stress (physics)

In continuum mechanics, stress is a measure of the average amount of force exerted per unit area. It is a measure of the intensity of the total internal forces acting within a body across imaginary internal surfaces, as a reaction to external applied forces and body forces....
 or pressure
Pressure

Pressure is the force per unit area applied to an object in a direction surface normal to the surface. Gauge pressure is the pressure relative to the local atmospheric or ambient pressure....
 can be derived. The net forces equalling zero is known as the first condition for equilibrium, and the net torque equalling zero is known as the second condition for equilibrium. See statically determinate.

Solids

Statics is used in the analysis of structures, for instance in architectural
Architectural engineering

Architectural engineering, also known as Building Engineering, is the application of engineering principles and technology to building design and construction....
 and structural engineering
Structural engineering

Structural engineering is a field of engineering dealing with the analysis and design of structures that support or resist structural loads. Structural engineering is usually considered a specialty within civil engineering, but it can also be studied in its own right....
. Strength of materials
Strength of materials

In materials science, the strength of a material refers to the material's ability to withstand an applied stress without failure. Yield strength refers to the point on the engineering stress-strain curve beyond which the material begins deformation that cannot be reversed upon removal of the loading....
 is a related field of mechanics that relies heavily on the application of static equilibrium. A key concept is the centre of gravity of a body at rest: it represents an imaginary point at which all the mass
Mass

In physical science, mass refers to the degree of acceleration a body acquires when subject to a force: bodies with greater mass are accelerated less by the same force....
 of a body resides. The position of the point relative to the foundations on which a body lies determines its stability
Stability

Stability may refer to:...
 towards small movements. If the center of gravity falls outside the foundations, then the body is unstable because there is a torque acting: any small disturbance will cause the body to fall or topple. If the centre of gravity falls within the foundations, the the body is stable since no net torque acts on the body. If the center of gravity coincides with the foundations, then the body is said to be metastable.

Fluids

Hydrostatics, also known as fluid statics
Fluid statics

Fluid statics is the science of fluids at rest, and is a sub-field within fluid mechanics. The term usually refers to the mathematical treatment of the subject....
, is the study of fluids at rest. This analyzes bodies of fluid in static equilibrium. The characteristic of any fluid at rest is that the force exerted on any particle of the fluid is the same at all points at the same depth (or altitude) within the fluid. If the net force is greater than zero the fluid will move in the direction of the resulting force. This concept was first formulated in a slightly extended form by the French
France

France , officially the French Republic , is a country whose Metropolitan France is located in Western Europe and that also comprises various Overseas departments and territories of France....
 mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
 and philosopher Blaise Pascal
Blaise Pascal

Blaise Pascal , was a France mathematician, physicist, and religion philosopher. He was a child prodigy who was educated by his father, a civil servant....
 in 1647 and would be later known as Pascal's Law
Pascal's law

In the physical sciences, Pascal's law or Pascal's principle states that "a change in the pressure of an enclosed incompressible fluid is conveyed undiminished to every part of the fluid and to the surfaces of its container."...
. This law has many important applications in hydraulics
Hydraulics

Hydraulics is a topic of science and engineering dealing with the mechanical properties of liquids. Hydraulics is part of the more general discipline of fluid power....
. Archimedes
Archimedes

Archimedes of Syracuse was a Greek mathematics, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity....
, Abu Rayhan al-Biruni, Al-Khazini
Al-Khazini

Abd al-Rahman al-Khazini was a Greek Muslims Science in medieval Islam, Astronomy in medieval Islam, Physics in medieval Islam, Medicine in medieval Islam, Alchemy and chemistry in medieval Islam, Mathematics in medieval Islam and Early Islamic philosophy from Merv, then in the Greater Khorasan province of Persian Empire but now in Turkmeni...
 and Galileo Galilei
Galileo Galilei

Galileo Galilei was a Grand Duchy of Tuscany physicist, mathematician, astronomer, and philosopher who played a major role in the Scientific Revolution....
 were also major figures in the development of hydrostatics.

See also

  • Dynamics
    Dynamics

    Dynamics may refer to:In Physics:*Dynamics , in physics, dynamics refers to time evolution of physical processes*Analytical dynamics refers to the motion of bodies as induced by external forces...
  • Mechanical equilibrium
    Mechanical equilibrium

    A standard definition of is:This is a strict definition, and often the term "static equilibrium" is used in a more relaxed manner interchangeably with "mechanical equilibrium", as defined next....
  • Solid mechanics
    Solid mechanics

    Solid mechanics is the branch of mechanics, physics, and mathematics that concerns the behavior of solid matter under external actions . It is part of a broader study known as continuum mechanics....
  • Cremona diagram
    Cremona diagram

    The Cremona diagram is a graphical method used in statics of trusses to determine the forces in members . The method was created by the Italian mathematician Luigi Cremona....


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