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Structural mechanics
 
 
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Structural mechanics is the computation of deformation
Deformation

In materials science, deformation is a change in the shape or size of an object due to an applied force . This can be a result of tensile strength forces, compressive strength forces, Simple shear, bending or torsion ....
s, deflection
Deflection

Deflection or deflexion may refer to:*Deflection *Deflection *Deflection *Electrostatic deflection*Deflection ...
s, and internal 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....
s or 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....
es (stress equivalents) within structures, either for design or for performance evaluation of existing structures. It is one of the subset of structural analysis. Structural mechanics analysis needs input data such as structural load
Structural load

Structural loads are forces applied to a component of a structure or to the structure as a unit.In structural design, assumed loads are specified in national and local design codes for types of structures, geographic locations, and usage....
s, the structure's geometric representation
List of structural elements

Structural elements are used in structural analysis to simplify the structure which is to be analysed. An Wiktionary:element is defined as the simplest part of the whole....
 and support conditions, and the materials' properties. Output quantities may include support reactions, stresses
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....
 and displacements
Displacement (vector)

In physics, displacement is the vector that specifies the change in position of a point or a particle in reference to a previous position. When the previous point is the origin, this is better referred to as a position vector....
.






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Structural mechanics is the computation of deformation
Deformation

In materials science, deformation is a change in the shape or size of an object due to an applied force . This can be a result of tensile strength forces, compressive strength forces, Simple shear, bending or torsion ....
s, deflection
Deflection

Deflection or deflexion may refer to:*Deflection *Deflection *Deflection *Electrostatic deflection*Deflection ...
s, and internal 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....
s or 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....
es (stress equivalents) within structures, either for design or for performance evaluation of existing structures. It is one of the subset of structural analysis. Structural mechanics analysis needs input data such as structural load
Structural load

Structural loads are forces applied to a component of a structure or to the structure as a unit.In structural design, assumed loads are specified in national and local design codes for types of structures, geographic locations, and usage....
s, the structure's geometric representation
List of structural elements

Structural elements are used in structural analysis to simplify the structure which is to be analysed. An Wiktionary:element is defined as the simplest part of the whole....
 and support conditions, and the materials' properties. Output quantities may include support reactions, stresses
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....
 and displacements
Displacement (vector)

In physics, displacement is the vector that specifies the change in position of a point or a particle in reference to a previous position. When the previous point is the origin, this is better referred to as a position vector....
. Advanced structural mechanics may include the effects of stability and non-linear behaviors.

There are three approaches to the analysis: the energy methods
Energy principles in structural mechanics

Energy principles in structural mechanics express the relationships between Stress es, Strain or deformations, displacement s, material properties, and structural load in the form of energy or work done by internal and external forces....
, flexibility method
Flexibility method

In structural engineering, the flexibility method is the classical consistent deformation method for computing member forces and displacements in structural systems....
  or direct stiffness method
Direct stiffness method

As one of the methods of structural analysis, the direct stiffness method , also known as the displacement method or matrix stiffness method, is particularly suited for computer-automated analysis of complex structures including the statically indeterminate type....
 which later developed into finite element method
Finite element method in structural mechanics

Finite element method is a powerful technique originally developed for numerical solution of complex problems in structural mechanics, and it remains the method of choice for complex systems....
 and the plastic analysis approach.

Energy method

  • Energy principles in structural mechanics
    Energy principles in structural mechanics

    Energy principles in structural mechanics express the relationships between Stress es, Strain or deformations, displacement s, material properties, and structural load in the form of energy or work done by internal and external forces....


Flexibility method

  • Flexibility method
    Flexibility method

    In structural engineering, the flexibility method is the classical consistent deformation method for computing member forces and displacements in structural systems....


Stiffness methods

  • Direct stiffness method
    Direct stiffness method

    As one of the methods of structural analysis, the direct stiffness method , also known as the displacement method or matrix stiffness method, is particularly suited for computer-automated analysis of complex structures including the statically indeterminate type....
  • Finite element method in structural mechanics
    Finite element method in structural mechanics

    Finite element method is a powerful technique originally developed for numerical solution of complex problems in structural mechanics, and it remains the method of choice for complex systems....


Plastic analysis approach

  • Plastic Analysis
    Plastic bending

    Plastic bending is a nonlinear behaviour peculiar to members made of ductile materials that frequently achievemuch greater ultimate bending strength than indicated by a linear elastic bending analysis....