Applied element method: Difference between revisions

Revision as of 06:20, 15 August 2009

Revision as of 06:37, 15 August 2009

Line 30:

: <math>K_s=\frac{G\cdot T\cdot d}{a}</math>

Where <math>''d=\text'' is the {distance between springs}</math>, <math>''T=\text'' is the {thickness of the element}</math>, <math>''a=\text'' is the {length of the representative area}</math>, <math>''E=\text'' {Youngsis the [[Young modulus}</math>]], and <math>''G=\text'' is the {Shear[[shear modulus}</math>]] of the material. The above equation indicates that each spring represents the stiffness of an area <math>(T\cdot d)</math> within the length a of the studied material.

To model reinforcement bars embedded in concrete, a spring is placed inside the element at the ___location of the bar; the area <math>(T\cdot d)</math> is replaced by the actual cross section area of the reinforcement bar. Similarly to model embedded [[Steel sections |steel sections]], the area <math>(T\cdot d)</math> may be replaced by the area of the steel section represented by the spring.

Although the element motion moves as a [[Rigid body |rigid body]], its internal [[Deformation (engineering) |deformations]] are represented by the spring deformation around each element. This means the element shape does not change during analysis but the behavior of assembly of elements is deformable.