The Internet Archive provides a digital version of the "Berechnungstafeln für Platten und Wandscheiben" (Tables for the analysis of plates, slabs and diaphragms). Scribd : The 1979 English edition is available here.
D=Eh312(1−ν2)cap D equals the fraction with numerator cap E h cubed and denominator 12 open paren 1 minus nu squared close paren end-fraction = Modulus of elasticity = Thickness of the plate = Poisson's ratio
They do not account for plastic stress redistribution. For advanced concrete design, methods like the Yield Line Theory or Strip Method are often used to find ultimate limit states. Summary of Element Behaviors Structural Element Primary Stress Type Key Design Output Needed Plate Out-of-plane bending Deflection, twisting moments Slab Out-of-plane bending & shear Reinforcement area, punching shear capacity Diaphragm In-plane shear & tension Chord forces, collector stresses, shear tie-downs
Uniform Distributed Load (q) ↓ ↓ ↓ ↓ ↓ ┌───────────────────────────────────────────────┐ │ │ │ Two-Way Slab/Plate │ ---> Deflection (w) │ │ └───────────────────────────────────────────────┘ ▲ ▲ Support Support Kirchhoff-Love Theory for Thin Plates The Internet Archive provides a digital version of
D=Eh312(1−ν2)cap D equals the fraction with numerator cap E h cubed and denominator 12 open paren 1 minus nu squared close paren end-fraction = Modulus of elasticity. = Plate thickness. = Poisson's ratio. Mindlin-Reissner Plate Theory (Thick Plates)
To manually analyze a structural component using elastic theory tables, follow this standardized engineering workflow:
They provide a comprehensive tabular summary for cases not always covered in basic textbooks, such as: For advanced concrete design, methods like the Yield
is a cornerstone of structural engineering literature. Originally published in German as Berechnungstafeln für Platten und Wandscheiben
The reference you are likely looking for is " Tables for the Analysis of Plates, Slabs and Diaphragms Based on the Elastic Theory
If you are searching for the PDF file containing these tables: = Poisson's ratio
Deflections are small compared to the total thickness of the plate (
M=C⋅q⋅lx2cap M equals cap C center dot q center dot l sub x squared is the coefficient from the table, is the design load, and is the short span length. 6. Notable Classical References and PDF Resources
Design tables simplify complex differential equations into easy-to-use algebraic expressions using dimensionless coefficients. Common Boundary Conditions