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Software Verification Examples for SCADA Pro
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A3. Static Analysis of Plate Structures under Transverse Loading
A3.1. Rectangular Plate
Problem Description
A two dimensional square plate, subjected to vertical loading is examined (Figure A3.1.1).
Geometry, Properties and Loads
The plate of dimensions 5.00m x 5.00m has 20cm thickness. Material is concrete with
modulus of Elasticity E=29 GPa and Poisson Ratio ν=0.20. Three cases of loading and
boundary conditions are examined. According to the first one (Load Case 1), plate is
subjected to its self-weight (ε
c
=25.0kN/m
3
) plus 2kN/m
2
uniformly distributed load and its
boundary is fixed. In the second case (Load Case 2), plate is subjected to its self-weight
(ε
c
=25.0kN/m
3
) plus 2kN/m
2
uniformly distributed load and its boundary is simply
supported. Finally, according to the third case (Load Case 3), plate is subjected to its self-
weight (ε
c
=25.0kN/m
3
) plus a concentrated load of 100kN applied at the middle point of the
plate, while all plate is elastically supported on ground with stiffness 5000kN/m
3
.
(400 Plate Finite Elements)
Figure A3.1.1. Rectangular Plate examined for three cases of boundary conditions and
loading.
Assumptions
During analysis, Kirchhoff theory of plates has been adopted.
Technical Features in ScadaPro Tested
Analysis of plate elements
Plate elements under transverse loading