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Software Verification Examples for SCADA Pro
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B2. Analysis & Design of Concrete Structures
B2.1. Rectangular Plate under Vertical Loading
Problem Description
A two dimensional rectangular plate, subjected to vertical loading is examined (Figure
B2.1.1).
Geometry, Properties, Loads and Loading Combinations
The plate of dimensions 9.75m x 4.75m has 20cm thickness. Material is reinforced concrete
of modulus of elasticity 29GPa and Poisson ratio ν=0.20. Τhe concrete strength class is
C20/25 while the class of reinforcing steel is B500C. The centre distance of the
reinforcement from the plate edge is 20mm.
Τhe plate is subjected to its self-weight (ε
c
=25.0kN/m
3
), to a uniformly distributed
permanent load 2kN/m
2
and to a uniformly distributed variable load 5kN/m
2
.
Two cases of loading combinations are examined. In the first one (Comb1) the value of the
participation factor of all loads is equal to 1.0. In the second case (Comb2) the participation
factor of permanent loads is equal to 1.35 while the corresponding one of the variable load
is equal to 1.50.
Two cases of boundary conditions are studied. According to the first one (Support Case 1)
the plate is simply supported along the long sides while the short sides are free. In the
second case (Support Case 2) the plate is simply supported along all sides. The analysis is
based on the finite element method, using plate elements.
Support Case 1
Support Case 2
Figure B2.1.1. Rectangular Plate examined for two cases of boundary conditions
Assumptions
During analysis, Kirchhoff theory of plates has been adopted.