Articles
Technical tutorials, validations and comparative studies
Mechanical Properties of Reinforced Concrete Sections
Computing area, moments of inertia, centroid, torsion constant and shear areas for three geometries: square section, hollow circular section and L-shaped wall.
Stresses & Strains in Reinforced Concrete Sections
Stress and strain verification under combined loading for three geometries (hexagonal, hollow square, U-beam) across EC2, NBR-6118 and BAEL 91 — with 100,000-load benchmark.
Reinforcement design for reinforced concrete sections
Determining the minimum bar diameter for hexagonal, hollow square and U-beam sections under SLS and ULS loads (EC2, NBR-6118, BAEL 91) — with 100,000-load benchmark.
3D Interaction Surface N-Mz-My
Computing the 3D resistance domain under biaxial bending for octagonal (EC2) and elliptical (ACI 318) sections — with performance benchmark.
Resistance Check Based on Interaction Surfaces
Batch verification of load combinations against the 3D resistance domain: safety factor η, Internal/External status, and 3D scatter plot for octagonal (EC2) and elliptical (ACI 318) sections — with 99.97% cross-validation against the stress-strain solver.
Steel Dimensioning from Interaction Surfaces
Finding the minimum bar diameter for a batch of load combinations using the 3D resistance domain
Interaction Curves
Classical 2D interaction diagrams with load verification: fixed-component mode and envelope mode for octagonal (EC2) and elliptical (ACI 318) sections.
Stiffness Curves
Moment-curvature diagrams and flexural stiffness degradation: secant and tangent EI under increasing load for rectangular (EC2) and hollow oblong (BAEL 91) sections.
Second-Order Effects
Buckling analysis of circular columns with the EC2 nominal curvature method: 2D uniaxial and 3D biaxial load paths on the interaction curve/surface, comparing a slender solid column (53% capacity reduction) with a stocky hollow column (1.3%).
Crack Analysis
Direct crack width calculation per EC2 §7.3.4: rectangular slab under bending and tension, I-beam under increasing moments — with automatic effective tension area detection for arbitrary cross-sections.
Fire Thermal Analysis
Transient temperature field in a fire-exposed section by finite elements: nonlinear heat equation, ISO 834 exposure and face-by-face protections, validated against the reference profiles of Annex A of EN 1992-1-2.
Fire Thermo-Mechanical Analysis
Residual capacity of a fire-heated composite column by the 500 °C isotherm method (EN 1992-1-2): section verification, interaction curves and surface, distances, stiffness and time to failure, with a passive-protection insulation test.
Advanced Sections
Modeling complex multi-material sections in SectionPro, applied to a prestressed bridge box girder: mechanical properties, SLS/ULS equilibrium and interaction domains.