SHAPE-MASSIVE - Thick-Walled Cross-Sections

Stress ratios of a rail

Results - Stress ratio of a rail

Steel stresses and required reinforcement

Results - Steel stress and required reinforcement

Further Information


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

The stand‑alone program SHAPE‑MASSIVE determines section properties of any thick-walled cross‑section and calculates the stresses. In addition, you can perform reinforced concrete design according to Eurocode 2 and other standards.

SHAPE-MASSIVE provides the option of interface with RFEM and RSTAB: SHAPE‑MASSIVE cross‑sections are available in the library of the FEA or frame analysis software, and vice versa, it is possible to import and design the internal forces from RFEM and RSTAB in SHAPE‑MASSIVE.

The structural data can be entered graphically, in tables, or by means of a DXF file.

  1. Features

    • 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
      •  EN 1992-1-1:2004
      •  DIN 1045-1:2008-08
      •  DIN 1045:1988-07
      •  ÖNORM B 4700: 2001-06-01
    • For the design according to EN 1992-1-1:2004, the following National Annexes are available:
      • United Kingdom NA to BS EN 1992-1-1:2004 (United Kingdom)
      •  DIN EN 1992-1-1/NA:2013-04 (Germany)
      •  ÖNORM B 1992-1-1:2011-12 (Austria)
      • Belgium NBN EN 1992-1-1 ANB:2010 (Belgium)
      • Bulgaria BDS EN 1992-1-1:2005/NA:2011 (Bulgaria)
      • Cyprus NA to CYS EN 1992-1-1:2004/NA:2009 (Cyprus)
      •  CSN EN 1992-1-1/NA:2006-11 (Czech Republic)
      •  EN 1992-1-1 DK NA:2007-11 (Denmark)
      •  SFS EN 1992-1-1/NA:2007-10 (Finland)
      •  NF EN 1992-1-1/NA:2007-03 (France)
      •  UNI EN 1992-1-1/NA:2007-07 (Italy)
      •  LST EN 1992-1-1:2005/NA:2011 (Lithuania)
      •  NEN-EN 1992-1-1/NA:2011-11 (Netherlands)
      •  PN EN 1992-1-1/NA:2008-04 (Poland)
      •  NP EN 1992-1-1/NA:2010-02 (Portugal)
      •  SR EN 1992-1-1:2004/NA:2008 (Romania)
      •  SS EN 1992-1-1/NA:2008-06 (Singapore)
      •  STN EN 1992-1-1/NA:2008-06 (Slovakia)
      •  SIST EN 1992-1-1:2005/A101:2006 (Slovenia)
      •  UNE EN 1992-1-1/NA:2010-11 (Spain)
      •  SS EN 1992-1-1/NA:2008 (Sweden)
      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
  2. General data of section


    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.

  3. Section properties

    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
  4. Normal stresses sigma-x

    Stress Analysis

    • Normal stresses σx due to axial force and bending
    • Shear stresses τ due to shear force and torsion
    • Equivalent stresses σeqv compared with limit stress
    • Stress ratios related to equivalent stresses
    • Normal stress σx due to unit axial force N
    • Shear stress τ due to unit shear forces Vy, Vz, Vu, Vv
    • Normal stresses σx adue to unit moments My, Mz Mu, Mv
  5. Concrete stresses and rebar stresses

    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
  6. Printout report


    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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1,120.00 USD

The price is valid for United States.