Articulated Truss under a Punctual Load

This test lets you check the validity of the bar element, and retrieve displacements of an articulated truss in the plane.

Reference:

AFNOR technique, SFM Paris, Guide de validation des progiciels de calcul de structures, SSLL 11/89, p40, 1990

Specifications

Geometry Specifications

L = 0.5 m

Section (m2):
AC = 2 x 10-4
CB = 2 x 10-4
CD = 1 x 10-4
BD = 1 x 10-4

Analysis Specifications

Young Modulus (material):
E = 1.962 x 1011 Pa
Poisson's Ratio (material):
ν = 0.3

Mesh Specifications:
1 linear bar element per bar
Restraints (User-defined):
On A and B (translation 1 and 2)
Loads (Distributed force):
On D: Fy = -9.81 x 103 N
 

Results

The table below presents the analysis results:

Points

Displacements [m]

Reference values

Computed values

Normalized results

C

uC

0.26517 x 10-3

0.26517 x 10-3

1

vC

0.08839 x 10-3

0.08839 x 10-3

1

D

uD

3.47902 x 10-3

3.47903 x 10-3

1.000003

vD

-5.60084 x 10-3

-5.60035 x 10-3

0.999913

To Perform the Test:

The articulated_truss.CATAnalysis document presents a complete analysis of this case, computed with a mesh formed of beam elements.

To compute the case, proceed as follow:

  1. Open the CATAnalysis document.

  2. Compute the case in the Generative Structural Analysis workbench.

  3. Create local sensors (Displacements vectors).