The aim of this test case is to validate the following functions:
The simulation results of SimScale were compared to the analytical results derived from [Roark]. The meshes used in case (A) and (C) were created with the fully-automatic-tetrahedralization tool on the SimScale platform. The meshes used in case (B) and (D) were created locally.
The I-beam is
= 1 m long. The geometry of the cross section is shown below.
Tool Type : Code_Aster
Analysis Type : Static
Mesh and Element types :
|Case||Mesh type||Number of nodes||Element type|
|(A)||linear tetrahedral||5761||3D isoparametric|
|(B)||linear hexrahedral||5757||3D isoparametric|
|(C)||quadratic tetrahedral||37486||3D isoparametric|
|(D)||quadratic hexrahedral||20749||3D isoparametric|
= 1000 N in a distance of 1 m is applied to face B
A remote force can be substituted in a parallel force
with the same magnitude and a momentum
. This momentum can be calculated with the direction of the force and the distance
. In this example the connection line between the force and the point of attack is perpendicular to the force and therefore the momentum
can be calculated as stated in equation
used to solve the problem is derived in [Roark] with a superposition of the momentum and the force.