SHAPE-MASSIVE - Thick-Walled Cross-Sections

Features

• Cross-section modeling using surfaces, openings, and point areas (reinforcements) limited by polygons
• Automatic or individual arrangement of stress points
• Extensible library of concrete, steel, and reinforcing steel materials
• Cross-section properties of reinforced concrete and composite cross-sections
• Stress analysis with yield hypothesis according to von Mises and Tresca
• Reinforced concrete design according to:
  • DIN 1045-1:2008-08
  • DIN 1045:1988-07
  • ÖNORM B 4700: 2001-06-01
  • EN 1992-1-1:2004
• For the design according to EN 1992-1-1:2004, the following National Annexes are available:
  • DIN EN 1992-1-1/NA:2013-04 (Germany)
  • NEN-EN 1992-1-1/NA:2011-11 (Netherlands)
  • CSN EN 1992-1-1/NA:2006-11 (Czech Republic)
  • ÖNORM B 1992-1-1:2011-12 (Austria)
  • UNE EN 1992-1-1/NA:2010-11 (Spain)
  • EN 1992-1-1 DK NA:2007-11 (Denmark)
  • SIST EN 1992-1-1:2005/A101:2006 (Slovenia)
  • NF EN 1992-1-1/NA:2007-03 (France)
  • STN EN 1992-1-1/NA:2008-06 (Slovakia)
  • SFS EN 1992-1-1/NA:2007-10 (Finland)
  • BS EN 1992-1-1:2004 (United Kingdom)
  • SS EN 1992-1-1/NA:2008-06 (Singapore)
  • NP EN 1992-1-1/NA:2010-02 (Portugal)
  • UNI EN 1992-1-1/NA:2007-07 (Italy)
  • SS EN 1992-1-1/NA:2008 (Sweden)
  • PN EN 1992-1-1/NA:2008-04 (Poland)
  • NBN EN 1992-1-1 ANB:2010 (Belgium)
  • NA to CYS EN 1992-1-1:2004/NA:2009 (Cyprus)
  • BDS EN 1992-1-1:2005/NA:2011 (Bulgaria)
  • LST EN 1992-1-1:2005/NA:2011 (Lithuania)
  • SR EN 1992-1-1:2004/NA:2008 (Romania)
• In addition to the National Annexes (NA) listed above, you can also define a specific NA, applying user‑defined limit values and parameters.
  • Reinforced concrete design for stress-strain distribution, available safety, or direct design
  • Results of reinforcement list and total reinforcement area
  • Printout report with option to print a short form

Input

It is possible to freely model a cross-section using surfaces limited by polygonal lines, including openings and point areas (reinforcements). Alternatively, you can use the DXF interface to import the geometry. An extensive material library facilitates the modeling of composite cross-sections.

Definition of limit diameters and priorities allows for a curtailment of reinforcements. In addition, you can consider the respective concrete covers and prestresses.

Cross-Section Properties

• Cross-sectional area A
• Shear areas A_y und A_z with or without transversal shear
• Centroid position y_S, z_S
• Moments of inertia I_y, I_z, I_yz, I_u, I_v, I_p
• Inclination of principal axes α
• Radii of gyration i_y, i_z, i_yz, i_u, i_v, i_p
• Torsional constant J
• Cross-section weight G and cross-section perimeter U
• Location of shear center y_M, z_M
• Warping constants I_ω,S, I_ω,M
• Max/min cross-section moduli S_y, S_z, S_u, S_v und S_t
• Plastic cross-section moduli Z_y,pl, Z_z,pl, Z_u,pl, Z_v,pl
• Stress function according to Prandtl φ
• Derivation of φ with respect to y and z
• Warping ω

Stress analysis

• Normal stresses σ_x from axial force and bending
• Shear stresses τ from shear force and torsion
• Equivalent stresses σ_v with comparison to limit stress
• Stress ratios related to equivalent stresses
• Normal stress σ_x from unit normal force N
• Shear stress τ from unit shear forces V_y , V_z , V_u , V_v
• Normal stress σ_x from unit moments M_y , M_z M_u , M_v

Reinforced Concrete Design

• Stresses σ and strains ε of concrete and reinforcement without considering concrete tensile strength (cracked state)
• Ultimate limit state design (existing safety) or design of defined internal forces
• Location of the neutral axis α₀, y_0,N, z_0,N
• Curvatures k_y, k_z
• Strain in neutral center ε₀ and governing strains at compressive edge ε₁ and at tensile edge ε₂
• Governing steel stress ε_2s

Results

All results can be evaluated and visualized in an appealing numerical and graphical form. Selection functions facilitate the targeted evaluation.

The printout report corresponds to the high standards of RFEM and -rstab RSTAB. Modifications are updated automatically. Furthermore, you can print the reduced report in a short form, including all relevant data and a user-defined cross-section graphic.