SHAPE-MASSIVE - Thick-Walled Cross-Sections

Any Polygonally Limited Cross-Sections


Section Properties, Stress Analysis, and Reinforced Concrete Design of Thick-Walled Cross-Sections

Further Information


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The SHAPE‑MASSIVE cross-section properties software runs independently of the main program. The program determines the section properties of any thick-walled cross-section and calculate the stresses. Furthermore, it is possible to perform the reinforced concrete design according to Eurocode 2 and other standards.

For SHAPE‑MASSIVE, there is a connection option to RFEM and RSTAB: The SHAPE-MASSIVE sections are also available in the library of the FEA software or the frame analysis software; and the other way around, the RFEM and RSTAB internal forces can be imported and designed in SHAPE‑MASSIVE.

You can enter the data graphically, in tables, or by importing a DXF file.



  • Cross-section modeling using surfaces, openings, and point areas (reinforcements) limited by polygons
  • Automatic or individual arrangement of stress points
  • Extendable 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:
    • Deutschland DIN 1045-1:2008-08
    • Deutschland DIN 1045:1988-07
    •  ÖNORM B 4700: 2001-06-01
    • European Union EN 1992-1-1:2004
  • For the design according to EN 1992-1-1:2004, the following National Annexes are available:
    • Deutschland 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)
    • NA to 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


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 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 Ay und Az with or without transversal shear
  • Centroid position yS, zS
  • Moments of inertia Iy, Iz, Iyz, Iu, Iv, Ip
  • Inclination of principal axes α
  • Radii of gyration iy, iz, iyz, iu, iv, ip
  • Torsional constant J
  • Cross-section weight G and cross-section perimeter U
  • Location of shear center yM, zM
  • Warping constants Iω,S, Iω,M
  • Max/min cross-section moduli Sy, Sz, Su, Sv und St
  • Plastic cross-section moduli Zy,pl, Zz,pl, Zu,pl, Zv,pl
  • Stress function according to Prandtl φ
  • Derivation of φ with respect to y and z
  • Warping ω

Stress analysis

  • Normal stresses σx from axial force and bending
  • Shear stresses τ from shear force and torsion
  • Equivalent stresses σv with comparison to limit stress
  • Stress ratios related to equivalent stresses
  • Normal stress σx from unit normal force N
  • Shear stress τ from unit shear forces Vy , Vz , Vu , Vv
  • Normal stress σx from unit moments My , Mz Mu , Mv

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, y0,N, z0,N
  • Curvatures ky, kz
  • Strain in neutral center ε0 and governing strains at compressive edge ε1 and at tensile edge ε2
  • Governing steel stress ε2s


All results can be evaluated numerically and graphically and displayed in a visualization. Selection functions facilitate the targeted evaluation.

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

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