OS-V: 0260 Shell Bending under a Tip Load

A beam is analyzed for bending due to tip load. OptiStruct investigates the vertical steady-state displacement at the tip of the beam.

Figure 1. FE Model with Boundary Conditions and Loadcases

Benchmark Model

Two beams are analyzed, Beam1 without follower load and Beam2 with follower load. Shell elements are used to model the beams which is 400mm long consists of 40 elements and a cross section of 20mm. All the nodes are constrained for the 3,4 and 5 degrees of freedom and the ends of the beams are constrained in all degrees of freedom. Both the beams are loaded at the edge by a point force of 125N on each node in the negative y direction. The load on the Beam1 is not having a follower force whereas the load on the Beam2 is a follower force. Nonlinear static analysis is performed with Large displacement.

The material properties are:
Material Properties
Young's Modulus
1000 MPa
Poisson's Ratio
10000 kg/m3

Nonlinear Static Analysis Results

Non-Follower Load y-Displacement


Follower Load y-Displacement


Bisshopp and Drucker 240 Bisshopp and Drucker 291
Normalized 0.99173554 Normalized 1.05054152

Model Files

Refer to Access the Model Files to download the required model file(s).

The model file used in this problem includes:



Bisshopp, K. E., and D. C. Drucker, “Large Deflections of Cantilever Beams,” Quarterly of Applied Mathematics, vol. 3 272, 1945