The Finite Element Method for the Analysis of Non-Linear and ...

Beam Elements - Strong Form to Weak Form
Arrive at the weak form
(W)
Note:
1. The spaces are C 1 continuous, i.e. the derivative must also be
continuous
Note:
1. The spaces are C 1 continuous, i.e. the derivative must also be
continuous
2. The left side is symmetric in w and υ (bi-linear form:
a(υ, w)=a(w, υ)) this will lead to a symmetric Stiffness Matrix
2. The left side is symmetric in w and v (bi-linear form: a(v,w)=a(w,v)
this will lead to symmetric stiffness matrix
Institute of Structural Engineering Method of Finite Elements II 20