Calculation of reinforced concrete sections according Ec – RC-SEC-EN

Description

RC-SEC-EN – Calculation of reinforced concrete sections according to Eurocode – performs checks for:

Ultimate Limit State (ULS):

• • Uniaxial or biaxial Bending with or without axial force (§6.1 EC2-§5.4.3 EC8). It also provides the eventual design of longitudinal and/or transverse reinforcement.
  • Interactions domains N-Mx, Mx-My, N-Mx, My, with numerical results and graphical representation.
  • Uniaxial and biaxial Shear (§6.2 EC2-§5.4.3 EC8) and Torsion (§6.3 EC2) force, with eventual design of stirrups.
  • Instability by the method based on nominal curvature with uniaxial or biaxial bending. The curvature calculation is performed according to equation (5.34) EC2 or by diagram moment-curvature (also in biaxial bending).

Serviceability Limit State (SLS):

• • Limitation of normal stress (§7.2 EC2) by bending moment and/or axial force (performed methods: simplified, AAEM, EM).
  • Limitation of Crack widths using direct calculation according to §7.3.4 EC2.
  • Limitation of deflections of beams (isolated or extracted from a frame) by double integration of curvatures and considering cracking, creep and shrinkage.

Ductility control:

• • Direct check of curvature ductility factor (§5.2.3.4 EC8) by a moment-curvature diagram (uniaxial or biaxial), taking into account (or not) the eventual confining effect of hoops.

Cross-section type 

A set of practical cross-sections (“Predefined”) like Rectangular, T, L, Flanged and Circular can be used as well as a free shape cross-sections (“General”) formed by one or more concrete regions (polygonal or circular, full or empty) with free positioning of longitudinal steel bars and stirrups.

Predefined cross sections are provided with faster input and the ability to perform the checks but also a first automatic design of reinforcement (for bending and/or shear forces) for a set of uniaxial combinations (up to 60) of internal forces. A special input is provided for rectangular sections of columns and walls (especially for seismic checks).

For general sections is also possible, once defined the geometry of the section is, to check or design the envelope of reinforcement in a single calculation cycle of up to 60 combinations for each of the above types of combinations (ULS and SLS).

For general section type is also possible to import the geometry of concrete and longitudinal bars (diameters and positions) from a *.dxf file.

CHECKS

ULS checks determine the bi-dimensional interaction domain for uniaxial forces N-Mx and the three-dimensional domain for biaxial bending N-Mx-My.

For each design combination, the program calculates the following:

• • Axial force and bending moments of resistance, about the assumed stress path.
  • The ultimate position of the neutral axis.
  • Stress and strain at ULS of all bars and vertices of the concrete section.
  • Shear-torsion checks.
  • Graphics of interaction domains.
  • Stability analysis for one span column by nominal curvature method.

SLS checks involve the determination of the following results:

• • Normal stress in all bars and vertices of the concrete section.
  • Neutral axis position.
  • Crack widths.
  • Axial strain and curvature (AAEM (Age-Adjusted Effective Modulus) or EM method.
  • Deflections in a beam-column isolated or belonging to a frame.

INTEGRATED TOOLS

In separate windows, it is possible to run the following tools to perform:

• • Definition of Creep and Shrinkage coefficients according to §3.1.4 EN 1992-1-1 to use with AAEM or EM methods in Serviceability Limit State checks.
  • Definition of Concrete Cover according to §4.4.1 EC2-1.