# FEA (Finite Element Analysis)

**The objective of finite element analysis is to accurately determine the response of a system modeled with finite
elements and subjected to given loads. 3D models are meshed into a system of 3D tetrahedral elements, the corners
of which are called nodes. Nodal forces and stiffnesses are known quantities, and are grouped into a force matrix {F}
and stiffness matrix [K]. The force matrix {F} is equal to the displacement matrix {U} times the stiffness matrix [K], or {F}
= [K]{U}. Since the displacement matrix {U} is unknown, it is determined by solding the equation {U} = {F}[K]^-1 ([K]^-1 =
inverse of the stiffness matrix). Displacemant is related to material strain (ε) which is used with the modulus of elasticity
(E) to determine stress in the part σ with the equation σ= (ε)(E). This forms the basis of finite element analysis.**

**SOLIDWORKS Simulation uses the displacement formulation of the finite element method to calculate component
displacements, strains, and stresses under internal and external loads.**

#### Slideshow Explanation

**Slide 1.** The 'Tent Structure FEA' is a stress analysis of a commercial tent frame which is subjected to a wind
load of 120 mph.

**Slide 2.**The 'Lifting Hook FEA' is a standard lifting hook stress analyzed while subjected to a load of 5 kips.

**Slide 3.**The 'Instrumented Pressure Vessel FEA' is a stress analysis of a IPV subjected to an external pressure of
2234 psi, corresponding to a water depth of 5000 ft.

**Slide 4.**The 'Armored Cable Termination FEA' is a stress analysis of the ACT while it is subjected to a load of 10 kips
(44.5 kn).

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