Bending a T-shaped Beam (surface)

Bending a T-shaped Beam

Let us consider a T-shaped beam.

A length of the beam is L. The beam is clamped on the left end and loaded with the force P on the right end.

Input data and characteristics of the material can be viewed here.

Bending of a T-shaped Beam, the finite element model with applied loads and restraints

The finite element model with applied loads and restraints

The analytical solution can be sought here.

After carrying out calculation with the help of AutoFEM Analysis, the following results are obtained:

Table 1.Parameters of the finite element mesh

Finite Element Type	Number of Nodes	Number of Finite Elements
linear triangle	3225	6144

Table 2. Result "Displacement"

Numerical Solution Displacement w*, m	Analytical Solution Displacement w, m	Error δ =100%* \|w* - w\| / \|w\|
5.7010E-004	5.6989E-004	0.04

Bending of a T-shaped Beam, result "Displacement" of finite element analysis

*The results of numerical tests depend on the finite element mesh and may differ slightly from those given in the table.