HyperMesh and BatchMesher

Cross Sectional Properties Calculated by HyperBeam

Cross Sectional Properties Calculated by HyperBeam

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Cross Sectional Properties Calculated by HyperBeam

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The beam cross section is always defined in a y,z plane. The x-axis is defined along the beam axis. The coordinate system you define is called the local coordinate system; the system parallel to the local coordinate system with the origin in the centroid is called the centroidal coordinate system; the system referring to the principal bending axes is called the principal coordinate system.

For shell sections, only the theory of thin walled bars is used. This means that for the calculation of the moments and product of inertia, terms of higher order of the shell thickness t are neglected. Thickness warping is also neglected.

Area

 

 

Area Moments of Inertia

 

 

 

Area Product of Inertia

 

 

Radius of Gyration

 

 

Elastic Section Modulus

 

 

 

Max Coordinate Extension

 

 

Plastic Section Modulus

 

 

 

Torsional Constant

Solid

(see below for warping function)

Shell open

Shell closed

 

 

 

Elastic Torsion Modulus

Solid

Shell open

Shell closed

 

 

 

Shear Center

Warping Constant (normalized to the shear center)

 

 

 

Shear deformation coefficients

 

 

 

 

Shear stiffness factors

 

 

 

 

Shear stiffness

Warping Function

For solid sections, the warping function is computed using a finite element formulation. This may lead to un-physically high stresses in geometric singularities (sharp corners) that get worse with mesh refinement. This may cause problems computing the elastic torsion modulus.

Nastran Type Notation

hbeam_nastran_type_notation