Cross Section Properties Calculator Software

This page lists the cross section properties calculated by ShapeDesigner Pro software. These calculated section properties are listed here and presented in the table below: mass, volume, cross section area, transformed composite cross section mass, volume and area, moment of inertia, product of inertia, polar moment of inertia, radius of gyration, position and orientation of the principal, neutral and plastic axis, torsion constant, warping constant, sectorial product of area, elastic modulus, plastic modulus, shape factor, centroid, shear center, fully plastic moment, maximum elastic moment, shear constant, reduced shear areas, constants of stability, fully plastic torque and flexural-torsional constant.

Calculated cross section properties
Property Description
Mass mass
Volume volume
Area Cross section area
CMass Transformed composite cross section mass
CVolume Transformed composite cross section volume
CArea Transformed composite cross section area
Ixx, Iyy Moment of inertia about x and y axis
Ixy Product of inertia about origin
Io Polar moment of inertia about origin
rx, ry Radius of gyration about x and y axis
Ixp, Iyp Moment of inertia about principal x and y axis through centroid
Ixyp Product of inertia about centroid (principal direction)
rxp, ryp Radius of gyration about principal x an y axis through centroid
Iop Polar moment about origin of the centroidal principal axes
b Angle of orientation (direction) of the principal x axis
Imin, Imax Minimum and maximum magnitudes of principal moment of inertia
Ixc, Iyc Moment of inertia about x and y axis through centroid
rxc, ryc Radius of gyration about x and y axis through centroid
Ioc Polar moment of inertia about origin of the centroidal axes
J Torsion constant
Cw Warping constant
Swx, Swy Sectorial product of area with respect to x and y axis
Stx, Sbx Elastic modulus about x axis at top and bottom
Sty, Sby Elastic modulus about y axis at top and bottom
zx, zy Plastic modulus about x and y axis
fx, fy Shape factor in x and y (Plastic neutral) direction
O Angle of orientation of the neutral axis from principal x-axis
PNA Position of the plastic neutral axis
xc, yc X and y location of centroid
xs, ys X and y location of shear center
Mpmax Fully plastic moment
Memax Maximum elastic moment
kx, ky Section shear constant about x and y axis
ax, ay Reduced shear areas about x and y axis
bx, by Constants of stability
Tpmax Fully plastic torque
Dsc Distance between shear center and centroid
bft Flexural-torsional constant

Maximum stresses

  • sx: Axial stress
  • sw: Axial warping stress
  • tsx, tsy: Shear stress in x and y directions
  • txz, tyz: Torsional shear stress in x and y directions

Minimum stresses

  • sx: Axial stress
  • sw: Axial warping stress
  • tsx, tsy: Shear stress in x and y directions
  • txz, tyz: Torsional shear stress in x and y directions

Stresses at custom position

  • sx: Axial stress
  • sw: Axial warping stress
  • tsx, tsy: Shear stress in x and y directions
  • txz, tyz: Torsional shear stress in x and y directions
  • qx, qy: Flow stress in x and y directions
  • sI: sII ; sIII: Principal stresses

Failure criteria for yield strength

  • Maximum normal stress criterion
  • Tresca criterion
  • Von Mises-Hencky criterion
  • Saint-Venant criterion
  • Maximum strain energy criterion

ShapeDesignerPro Product Page

Return to the ShapeDesigner Pro product page.

Real Time Property Display

ShapeDesigner displays all geometric properties in real time in the CAD at design time. This means, for example, that you can move a point and see how the properties such as area or inertia evolve as the movement is occurring.

Real Torsion and Warping Constants

Contrary to most software available, ShapeDesigner makes no assumptions or restrictions on the calculation of shear and torsion properties. ShapeDesigner uses an advanced and efficient finite element approach to calculate these constants. The complexity of the finite element approach is hidden from the user. There is no general method for computing shear and torsion properties without using this finite element approach.

Naming convention for various angles and axes