Introduction to Finite Elements

Systems

FEM analysis scheme

Step 1: Divide the truss into bar/truss elements connected to each other through special points (nodes)

Step 2: Describe the behavior of each bar element (i.e. derive its

stiffness matrix and load vector in local AND global coordinate

system)

Step 3: Describe the behavior of the entire truss by putting

together the behavior of each of the bar elements (by assembling

their stiffness matrices and load vectors)

Step 4: Apply appropriate boundary conditions and solve

Heat conduction

Fluid flow

The three systems

have the same

basic topology,

i.e. the same

relationship

between nodes

and elements.