Objective
To verify the behavior of the rotational spring
Problem Description
A 10-inch long cantilever beam is subjected to a triangular linear load of q = 2 lb/in.
Material properties: E = 2.9e7 psi, ν = 0.3
Section properties: Ix = 1000 in4, Az = 10 in2
Boundary condition: rotational spring constant Koz = 1e4 lb-in/rad, Dx and Dy fixed.

Finite Element Model
1 beam element
Assign large spring constants to Kx, Ky to represent fixed DOFs Dx, Dy
Model type: 2D Frame
Results
The rotational displacement Doz at N1 and vertical displacement Dy at N2 may be calculated as:
@N1:
rad
@N2,
in
Units: displacement – in; rotation - rad
|
ENERCALC 3D |
Theoretical |
Rotation Doz @ N1 |
-3.333e-3 |
-3.333e-3 |
Displacement Dy @ N2 |
-3.333e-2 |
-3.333e-2 |
Comments
The results given by ENERCALC 3D are identical to the theoretical values.
The displacements due to beam strains are negligible.