Given: ( a = 5m, b = 6m, h = 0.2m, E = 30 GPa, \nu = 0.2, p = 10 kPa )
First compute ( D = \frac30\times10^9 \cdot 0.2^312(1-0.04) = \frac30e9 \cdot 0.00812\cdot0.96 = \frac240e611.52 \approx 20.83 \times 10^6 , Nm )
Maximum deflection ( w_max = 0.00192 \cdot \frac10,000 \cdot 5^420.83e6 )
( 5^4 = 625 ), numerator ( 10,000 \cdot 625 = 6.25e6 )
( w_max = 0.00192 \cdot \frac6.25e620.83e6 = 0.00192 \cdot 0.30 \approx 0.000576 , m = 0.58 , mm ) Given: ( a = 5m, b = 6m, h = 0
Maximum moment ( M_max = 0.045 \cdot 10,000 \cdot 5^2 = 0.045 \cdot 250,000 = 11,250 , Nm/m )
This value is used directly for reinforcement design per meter width.
A quick FEM model should match within 2-3%. If not, re-check boundary condition interpretation.
Tables allow rapid exploration of aspect ratio effects. For a square plate, ( M_max ) occurs at center; as ( a/b ) increases, moments shift—visible instantly from tabulated values. Tables allow rapid exploration of aspect ratio effects
From the table’s index, find the boundary condition diagram that matches. Each case has a code (e.g., C-12).
Existing buildings often lack digital models. When retrofitting a 1960s slab bridge or an industrial floor diaphragm, original calculations may have used these very tables. Having the same reference ensures consistency and code compliance.
The request for a PDF containing "tables for the analysis of plates slabs and diaphragms based on the elastic theory" is not a sign of resistance to technology. Rather, it reflects a mature understanding that efficient engineering blends theory, computation, and curated empirical data. These tables represent thousands of hours of past analytical work, condensed into a few dozen pages of coefficients. They empower the modern engineer to move quickly, verify thoroughly, and design confidently.
Whether you are designing a concrete flat slab for an apartment tower, a steel deck diaphragm for a warehouse, or a composite plate for a naval vessel, having a reliable digital copy of these tables is an essential part of your toolkit. Seek out a well-scanned, correctly referenced PDF. Learn its structure. Respect its assumptions. And let it accelerate your work for years to come. References for further reading (look for these titles
References for further reading (look for these titles in PDF form):
End of Article
"Tables for the Analysis of Plates, Slabs and Diaphragms Based on the Elastic Theory" by Richard Bareš is a foundational 1969 reference work providing over 600 pages of coefficients for structural engineering design. The text simplifies complex differential equations for bending moments and deflections in slabs and plates. Digital versions are available for viewing on Internet Archive Open Library IQY Technical College Basic Theory of Plates and Elastic Stability