Analysis Type:

Large Deformation Analysis

Model Type:

3D

Reference:

Argyris, J.H., and Symeonidis, Sp., "Nonlinear Finite Element Analysis of Elastic Systems Under Nonconservative Loading Natural Formulation Part I. Quasistatic Problems," Computer Methods in Applied Mechanics and Engineering, 26 (1981), pp75–123.

Description:

A hinged, rightangle frame is constrained in translation at the upper right and lower left corners. It is subjected to a nonconservative downward load 96 cm from the upper right constraint. The load is simulated using a pressure load applied over a small area. Calculate the lateral and vertical displacements at the load application point.

Element Type:  solid (56)  
Units:  cm, N  
Dimensions:  length: 120 width: 3  depth: 2 
Material Properties:  Mass Density: 0 Cost Per Unit Mass: 0 Young's Modulus: 7.2e6  Poisson's Ratio: 0.3 Thermal Expansion: 0 Conductivity: 0 
Constraints:  at upper right and lower left corners: fixed in translation 
Loads:  Location/Magnitude:  Distribution:  Spatial Variation: 
vertical  15 kN over 3 cm2 applied at 96 cm from the upper right constraint  pressure  uniform 
Displacements at the load application point  Theory  Structure  % Difference 
Lateral Displacement (x)  3.5  3.88  10% 
Vertical Displacement (y)  17.0  16.4  3.5% 
Convergence: SPA RMS Stress Error Estimates: 0.3 %  Max P: 7  No. Equations: 3912 