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Stiffness is the resistance of an elastic body to deflection or deformation by an applied force. It is an extensive material property. Elasticity is a branch of physics which studies the properties of elastic materials. ...
This article or section does not cite any references or sources. ...
In engineering mechanics, deformation is a change in shape due to an applied force. ...
For other uses, see Force (disambiguation). ...
In physics and chemistry an intensive property (also called a bulk property) of a system is a physical property of the system that does not depend on the system size or the amount of material in the system. ...
Definition The stiffness k of a body that deflects a distance δ under an applied force P is  In the International System of Units, stiffness is typically measured in newtons per metre. “SI†redirects here. ...
For other uses, see Newton (disambiguation). ...
This article is about the unit of length. ...
As both the applied force and deflection are vectors (respectively P and δ), in general their relationship is characterised by a stiffness matrix, k where: This article or section does not cite any references or sources. ...
This article is about vectors that have a particular relation to the spatial coordinates. ...
- P = k δ.
The deflection can, in general, refer to a point distinct from that where the force is applied and a complicated structure will not deflect purely in the same direction as an applied force. The stiffness matrix enables such systems to be characterised in straightforward terms.
The inverse of stiffness is compliance, typically measured in units of metres per newton. Look up inverse in Wiktionary, the free dictionary. ...
Compliance can mean: Compliance (medicine), a patients (or doctors) adherence to a recommended course of treatment Compliance (physiology), a measure of stiffness in mechanical science and physiology Compliance (regulation), the act of adhering to, and demonstrating adherence to laws, regulations or policies, in management Category: ...
Rotational stiffness A body may also have a rotational stiffness, where the stiffness k for a rotation θ under an applied moment M is It has been suggested that this article or section be merged with torque. ...
 In the S.I. system, rotational stiffness is typically measured in newton-metres per radian. Newton metre is the unit of moment (torque) in the SI system. ...
Some common angles, measured in radians. ...
Further measures of stiffness are derived on a similar basis, including:
- shear stiffness - ratio of applied shear force to shear deformation
- torsional stiffness - ratio of applied torsion moment to angle of twist
Shear stress is a stress state where the stress is parallel or tangential to a face of the material, as opposed to normal stress when the stress is perpendicular to the face. ...
Look up torsion in Wiktionary, the free dictionary. ...
Relationship to elasticity In general, elastic modulus is not the same as stiffness. Elastic modulus is a property of the constituent material; stiffness is a property of a solid body. That is, the modulus is a property of the material; stiffness, on the other hand, is a property of the solid body dependent on the material and the shape and boundary conditions. For example, for an element in tension or compression, the axial stiffness is An elastic modulus, or modulus of elasticity, is the mathematical description of an object or substances tendency to be deformed when a force is applied to it. ...
Tension is a reaction force applied by a stretched string (rope or a similar object) on the objects which stretch it. ...
Physical compression is the result of the subjection of a material to compressive stress, resulting in reduction of volume. ...
 where A is the cross-sectional area, E is the Young's modulus, and L is the length of the element. See also, stress stiffening.
For the special case of unconstrained uniaxial tension or compression, Young's modulus of elasticity can be thought of as a measure of the stiffness of a material. In solid mechanics, Youngs modulus (E) is a measure of the stiffness of a given material. ...
Use in engineering The stiffness of a structure is of principal importance in many engineering applications, so modulus of elasticity is often one of the primary properties considered when selecting a material. A high modulus of elasticity is sought when deflections are undesirable, while a low modulus of elasticity is required when flexibilty is needed. In solid mechanics, Youngs modulus (also known as the modulus of elasticity or elastic modulus) is a measure of the Stiffness of a given material. ...
This article or section does not cite any references or sources. ...
In solid mechanics, Youngs modulus (also known as the modulus of elasticity or elastic modulus) is a measure of the Stiffness of a given material. ...
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