1st order linear - Simply supported square slab
Problem definition
Calculate the mid span deflection of an 8x8 simply supported slab of 0.1 thickness under self-weight only. Take material properties E=2x1011, G=7.7x1010 and ρ=7849.
Assumptions
A regular triangular finite element mesh is used with sufficient subdivision. Flexural and shear deformation is included, and the material is assumed to be isotropic.
Key results
The mid-span deformation is calculated using Navier's Method.
Result | Theoretical value | Comparison 1 | Solver value | % error |
---|---|---|---|---|
Mid-span deflection | 7.002x10-3 | 6.990x10-3 | 7.031x10-3 | 0.43% |
Mid-span Moment | 23616 | 23708 | 23649 | 0.14% |
Conclusion
An acceptable match is observed between the theoretical values and the solver results. An acceptable match is also observed between the solver results and those obtained independently.