Description
Find the effect of transverse shear on maximum deflection of an isotropic simply supported square plate of side (a) = 24" subjected to a constant pressure (q) = 30 psi. The plate thickness (H) varies according to the table shown below (in terms of the ratio H/a).
File Name
Browse to
drive letter:\Users\Public\Public
Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\Static_6.SLDPRT and open the
file.
Meshing Parameters
Use a Global Size of 1in.
Material Properties
Modulus of elasticity = 3 X 107 psi, Poisson's ratio = 0.3.
Modeling Hints
Due to symmetry, only one quarter of the plate is considered. Thick shell formulation is used. A design scenario with 3 thickness values is defined to automate the processing. To run the design scenarios, right-click the study icon and select Run Design Scenario. To list the maximum resultant displacements, right-click the Results folder and select Show Design Scenario Summary.
Results
| |
|
|
β**
|
|
Thickness (inches)
|
Thickness ratio (H/a)
|
Maximum Deflection (in)*
|
Reissner Theory
|
SOLIDWORKS Simulation
|
| 1.2
|
0.05
|
0.0089718 |
0.044936 |
0.046263 |
| 2.4
|
0.1
|
0.0012079 |
0.046659 |
0.049837 |
| 3.6
|
0.15
|
0.00039057 |
0.049533 |
0.054436 |
* The resultant displacement (not UZ) is used for the maximum deflection.
** The Reissner coefficient (β) is given by: β = E H3 Wmax /q a4, where Wmax is the maximum deflection.
Reference
Pryor, Charles W., Jr., and Barker, R. M., “Finite Element Bending Analysis of Reissner Plates,” Engineering Mechanics Division, ASCE, EM6, December, l970, pp. 967-983.