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Problem Description

In this example a twisted cantilever beam, modeled with shell elements, is subjected to unit forces at the tip in the in-plane and out-of-plane directions, that is, the Y and Z directions, respectively. The in-plane and out-of-plane loads are applied in different load cases. The tip displacements in the direction of the load are compared with independent hand calculated results.
The geometry, properties and loading are as suggested in MacNeal and Harder 1985. The cantilever beam is twisted 90° from the root (fixed end) to the tip. It is 12 inches long, 1.1 inches wide and 0.32 inches thick. For modeling in this model the twisted beam is meshed 2x12 (24 area objects total) as shown in the figure.



Tested Features

  •  Membrane analysis using shell elements
  •  Plate bending analysis using shell elements
  •  Joint force loading

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Object Link: https://openbrim.org/objidwtmdl47c1k9aki7m1t6t.libobj



Thin Plate Option

Model and Mesh Load Case and TypeOutput Parameter
OpenBrIM
SAP2000Independent

Percent Difference

(SAP2000 vs Independent)

Percent Difference

(OpenBrIM vs Independent)



Thin

12x2 mesh


Load case IN

In-Plane

Uy, in

Average of

jts 13, 26, 39

0.0030290.005415 0.005429 -0.3%-44.2%

Load case OUT

Out-of-Plane

Uz, in

Average of

jts 13, 26, 39

0.0014780.001769 0.0017491.1%-15.5%


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