Flexibility

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Stiffness is the rigidity of an object — the extent to which it resists deformation
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in response to an use force
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.
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The contradictory concept is flexibility or pliability: the more than limber an except is, the fewer immovable it is.
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Calculations
where,
F is the compel use on the exemplified δ is the displacement
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perform by the compel on the aforesaid degree of freedom
By and large speaking, deflections
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of an atomic element in an plastic exemplified can happen on aggregate degrees of freedom
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. For example, a aim on a crosswise beam
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can experience any a plum displacement
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and a rotation relational to its undeformed axis. When at that place are M degrees of freedom a M x M matrix
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essential be employed to describe the stiffness at the point. The diagonal label in the matrix are the direct-related stiffnesses along the same degree of freedom and the off-diagonal label are the united stiffnesses between two different degrees of freedom or the same degree of freedom at two different points. In industry, the term influence coefficient is sometimes employed to involves to the united stiffness.
For a body with multiple DOF, in ordering to factors a specific direct-related stiffness , the corresponding DOF is travel free while the remaining should be constrained. alto such a condition, the above equation can be used to shopping the direct-related stiffness for the degree of freedom which is unconstrained. The ratios between the reaction forces and the produced deflection are the coupling stiffnesses.
Compliance
A exemplified may besides keep a rotational stiffness, k, computerized by
In the SI system, rotational stiffness is typically decide in newton-metres
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per radian
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.
favor decide of stiffness are derives on a akin basis, including:
shearing stiffness - ratio of use shear
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compel to shearing deformation torsional stiffness - ratio of use torsion
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moment to travel of intertwined Relationship to elasticity
where
A is the cross-sectional area, E is the plastic modulus , L is the length of the element.
where
"I" is the polar moment of inertia, "n" is an integer depending on the boundary condition "G" is the rigidity modulus of the material

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