Reference:

R. H. Macneal, R. L. Harder, A proposed standard set of problems to test finite element accuracy, North-Holland, Finite elements in analysis and design, 1, 1985, p. 3-20.

Problem description:

Curvilinear isotropic cantilever beam of rectangular cross section is subjected to concentrated transverse forces P_y and P_z at the free end (bending in and out of the plane of the longitudinal axis of the beam).

Problem sketch:

Type of created problem:

Spatial construction (X, Y, Z, UX, UY, UZ).

Geometric characteristics:

R = 4.22 m; b = 0.1 m; h = 0.2 m; α = 90°.

Material properties:
Isotropic elastic: E = 1·10⁷ kPa; μ = 0.25.

Boundary conditions:

Rigid restraint at the end: X = Y = Z = UX = UY = UZ = 0.

Loads:

P_y = P_z = 1000 N.

Model description:

The system is modeled by 6 shell elements (FE type is 44).

Calculation results: