Results
Largest deflection 4.3322 mm
Span / deflection 1,385 L/δ
Total load 1,152 kN
Certified (linear solve)· relative error bound ≤ 9.4 × 10−11
A square concrete slab (E = 30 GPa, ν = 0.2) carries a uniform load, applied as tributary nodal forces, on point supports at every column or, with walls, along all four edges. Walls hold the slab’s edges down and keep each edge from twisting along its length (hard simple support), and the largest deflection is shown beside the Navier series for that plate with its transverse shear term (Reissner–Mindlin, κ = 5/6).
Verified by: Navier plate benchmark
A teaching example, not a design check. SI units: m, kN, MPa. Published by Ergodic Group.