Finite Element Analysis (FEA) - Structural Engineering Principles

𝐴1 ,𝐸1 ,𝑙1 𝐴2 ,𝐸2 ,𝑙2 𝐾1 𝐾2 AE 𝐾𝑒 = l [ ] 1 -1 -1 1 AE 𝐾𝑒 = l Where, [ ] 𝑙2 lm −𝑙 2 -lm lm 𝑚2 -lm 𝑙2 −𝑙 2 -lm 𝑙2 lm -lm 𝑙2 lm 𝑙2 𝑥2−𝑥1 𝐿𝑒 A - Area of the element 𝑙= E - Young’s modulus of the element 𝑚= l - Length of the element 𝐿𝑒 = 𝑦2−𝑦1 𝐿𝑒 𝑥2 − 𝑥1 2 + 𝑦2 − 𝑦1 2 u3 v3 100kN 50kN 20mm u2 u1 v1 30mm v2 v3 100kN 50kN u2 20mm u3 u1 v1 30mm v2