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*BEAMPRO
Data format:
An arbitrary number of lines with 12 values each, optionally followed by one to 3 lines with up to 21 values each, as follows:
IPRO XL XM D CD CM CDL CML ES EIX EIY GCT COEFMU &
NBVALA \(\epsilon_1 Force_1\) ... \(\epsilon_{NBVALA} Force_{NBVALA}\) &
NBVALB \(\rho_1 Moment_1\) ... \(\rho_{NBVALB} Moment_{NBVALB}\) &
NBVALC \(\tau_1 Moment_1\) ... \(\tau_{NBVALC} Moment_{NBVALC}\)
Status:
Mandatory when beam elements are used.
Purpose:
To define mechanical and geometrical properties of a set of beam elements
Restrictions:
The total number of beam element properties sets is limited to MAXPRO (version dependent)
Details :
Parameter | Description |
---|---|
IPRO | Identification number of the following set of properties |
XL | Beam length. If XL is set to 0. XL will be the distance between the nodes of the beam |
XM | Mass per unit length of beam |
D | Diameter of the beam used for buoyancy and hydrodynamic forces calculations |
CD | Morison normal drag coefficient |
CM | Morison normal inertia coefficient |
CDL | Morison axial drag coefficient |
CML | Morison axial inertia coefficient |
Axial stiffness of the beam =0 for multi-linear axial stiffness |
|
EIX | Bending stiffness about local OX axis =0 for multi-linear flexion stiffness |
EIY | Bending stiffness about local OY axis =0 for multi-linear torsion stiffness |
GCT | Torsion stiffness |
COEFMU | Additional shear stiffness. Default value is 1. |
NBVALA | Number of couples (e,Force) defining a multi-linear axial stiffness behaviour NBVALA =0 if ES is not 0 NBVALA must be lower than 10 |
NBVALB | Number of couples (r,Moment) defining a multi-linear flexion stiffness behaviour NBVALB =0 if EIy is not 0 NBVALB must be lower than 10 |
NBVALC | Number of couples (t,Moment ) defining a multi-linear torsion stiffness behaviour NBVALC =0 if GCt is not 0 NBVALB must be lower than 10 |
Note
Beam stiffness is defined by : Axial stiffness : E . A Bending stiffness : E . IY and E . IZ Torsion stiffness : G . CT where G = E/2(1+NU) Shear stiffness : G . A * COEFMU.
COEFMU is useful to avoid an important shear deformation of the Mindlin beam. It is usually not necessary to use it.
To define a variable stiffness behaviour , couples must be given in increasing order of the corresponding strain U (= e, r or t) and loads (forces or moment)
The axial multi-linear law may refer to the true tension instead of the effective tension (see *BEAMPRO2)
Examples:
*BEAMPRO
c[.] | [m] | [kg/m] | [m] | [.] | [.] | [.] | [.] | [N] | [N.m2] | [N.m2] | [N.m2/rad] |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 15.0 | 250.93 | .3776 | 0.7 | 2.0 | 0. | 0. | 8.4e8 | 9.98e4 | 9.98e4 | 1.1e7 |
*BEAMPRO
c | [.] | [m] | [kg/m] | [m] | [.] | [.] | [.] | [.] | [N] | [N.m2] | [N.m2] | [N.m2/rad] |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1.0 | 133.93 | .2447 | 0.0 | 0.0 | 0. | 0. | 1.6e5 | 1.41e7 | 1.41e7 | 1.e4 | 1.e4 |
Last term COEFMU was added to avoid shear. It is two orders of magnitude above the order of magnitude EI/EA/L/L where L is the beam length. It is used for example when important elasticity (meaning EA low) with no shear is required.
*BEAMPRO
c[.] | [m] | [kg/m] | [m] | [.] | [.] | [.] | [.] | [N] | [N.m2] | [N.m2] | [N.m2/rad] |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 1.0 | 133.93 | .2447 | 0.0 | 0.0 | 0. | 0. | 1.6e5 | 0 | 0 | 1.e4 |
1 &
0 &
3 0. 0. 0.1 1.e3 0.35 1.e4 &
0
This defines a beam with :
- a constant axial stiffness
- a constant torsion stiffness
- a flexion behaviour defined by : between 0 and 0.1. m-1 the bending stiffness is 1.e4 Nm2 and when the curvature reach 0.1 m-1 and is lower than .0.35 m-1the bending stiffness is 3.6e4 Nm2