Description
A thin plate is fully fixed on the left end and is subjected to a uniform pressure according to the sketch. The problem is described by the following set of parameters.
| Material | Elastic | Modulus of Elasticity | E | 210000.000 | MPa |
| Poisson's Ratio | ν | 0.000 | - | ||
| Shear Modulus | G | 105000.000 | MPa | ||
| Geometry | Plate | Length | L | 1.000 | m |
| Width | w | 0.050 | m | ||
| Thickness | t | 0.005 | m | ||
| Load | Uniform Pressure | p | 2.750 | kPa | |
Small deformations are considered and the self-weight is neglected in this example. Determine the maximum deflection uz,max. The aim of this example is to show that a surface of the surface stiffness type Without Membrane Tension behaves linearly under bending.
Analytical Solution
The pressure p can be transformed into continuous line load q = pw. The maximum deflection of the cantilever loaded by the continuous load is defined as:
RFEM Settings
- Modeled in RFEM 5.04 and RFEM 6.01
- The element size is lFE = 0.020 m
- Geometrically linear analysis is considered
- The Mindlin plate theory is used
- Isotropic linear elastic material model is used
Results
| Surface Stiffness Type | Analytical Solution | RFEM 5 | RFEM 6 | ||
| uz,max [mm] | uz,max [mm] | Ratio [-] | uz,max [mm] | Ratio [-] | |
| Standard | 157.143 | 157.130 | 1.000 | 157.125 | 1.000 |
| Without Membrane Tension | 157.150 | 1.000 | 157.125 | 1.000 | |
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