user manual 2013
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User Manual for Anisotropic Beamof an Arbitrary Cross-Section
Summary of Finite Element Model Data
(1) BEAM JOB SEPARATOR
Title of Problem
(2) COMMENTS/END COMMENTS SEPARATORS*
* Information Lines
(3) CORNER NODES SEPARATOR
Corner Node Data
(4) MID-SIDE NODES SEPARATOR*
Mid-Side Node Data
(5) MATERIALS SEPARATOR
Mechanical Material Data
(6) ELEMENTS SEPARATOR
Element Data
(7) END FE MODEL SEPARATOR
———————————————————————————————
Length of Beam and Restraints at Root End
(1) LENGTH SEPARATOR
(2) RESTRAINT SEPARATOR
Kinematic Restraints Data
———————————————————————————————
Saint-Venant Extension-Bending-Torsion-Flexure Loads
(1) EXT-BEND-TOR-FLEXURE SEPARATOR
Loads for Extension-Bending-Torsion-Flexure Problems
* denotes optional input data
1
———————————————————————————————
Almansi-Michell Loads - Level 1 Problem
The loads for this problem exhibit no resultant forces and moments. There are surface
tractions as well as line loads. These loads are assumed to be uniform along the axis of
the beam. The analysis for the response to these loads are carried out under plane stress
conditions. An additional set of end extension-bending and torsion loads can be superposed
onto these surface tractions and point loads.
(1) ALMANSI-MICHELL-1 SEPARATOR
(2) SURFACE TRACTION LOADS
Surface traction data
(3) LATERAL SURFACE LINE LOADS
Line load data
(4) EXT-BEND-TOR LOADS SEPARATOR
Extension-Bending-Torsion Loads
———————————————————————————————
Almansi-Michell Loads - Level 2 Problem
The loads for this problem have resultant z-force and the three moments only. There
may be surface tractions, line loads as well as a body force in the z-direction. These loads
are assumed to be uniform along the axis of the beam. An additional set of end extension-
bending, torsion and flexure loads can be superposed onto these surface tractions and point
loads.
(1) ALMANSI-MICHELL-2 SEPARATOR
(2) SURFACE TRACTION LOADS
Surface traction data
(3) LATERAL SURFACE LINE LOADS
Line load data
(4) z-BODY FORCE
(5) EXT-BEND-TOR-FLEXURE SEPARATOR
Tip End Loads for Extension-Bending-Torsion-Flexure
2
———————————————————————————————
Almansi-Michell Loads - Level 3 Problem
The loads for this problem may be uniform transverse and axial loads and three
uniform moments. In addition, there may be a linear varying axial load as well as three
linear varying moments, i.e., linear in the z-direction. Uniform body forces in all three
coordinate directions are possible as well as a linear varying body force in the z-direction.
(1) ALMANSI-MICHELL-3 SEPARATOR
(2) SURFACE TRACTION LOADS
Surface traction data
(3) LATERAL SURFACE LINE LOADS
Line load data
(4) BODY FORCES SEPARATOR & data
(5) LINEAR VARYING SURFACE TRACTION SEPARATOR
Linear varying surface traction data
(6) LINEAR VARYING LINE LOAD SEPARATOR
Linear varying surface point (line) load data
(7) LINEAR BODY FORCE-Z SEPARATOR & data
(8) EXT-BEND-TOR-FLEXURE SEPARATOR
Tip End Loads for Extension-Bending-Torsion-Flexure
3
Formats for Finite Element Model Data
1. BEAM JOB SEPARATOR
First Line - FORMAT(A8)
Cols. 1-4 BEAM
Second Line - FORMAT(A80)
Cols. 1-80 Any User Supplied Title for this Job
2. COMMENTS/END COMMENTS SEPARATORS*
First Line FORMAT(A8)
Cols. 1-8 COMMENTS
Subsequent Lines FORMAT(A80)
Cols. 1-80 Any User Supplied Information Describing this Job.
Any number of lines may be submitted in Input Data File. This part of the input data is
ended with the following separator.
Last Line FORMAT(A12)
Cols. 1-12 END COMMENTS
3. CORNER NODES SEPARATOR
First Line FORMAT(A12,3X,I5)
Cols. 1-12 CORNER NODES
Cols. 16-20 NCNO - Number of Corner Nodes
Cols. 21-30 x-translation to centroid*
Cols. 31-40 y-translation to centroid*
Cols. 41-50 z- rotation to principal bending axes*
The data in Cols. 21-50 enable a translation and rotation to the input coordinate data.
This is used to relocate the centroid of the cross-section without emending the originally
submitted data. This option is usually used when the location of the centroid has been
revealed in a previous run.
4
Subsequent Lines FORMAT (I5,5X,2F10.0,2I5,2F10.0)
Cols. 1- 5 Node Label
Cols.11-20 x-coordinate of node
Cols.21-30 y-coordinate of node
Cols.31-35 Generation: Number of Nodes to be Generated
Cols.36-40 Node Increment for Generated Nodes
Cols.41-50 x-coordinate of last node
Cols.51-60 y-coordinate of last node
4. MID-SIDE NODES SEPARATOR *
First Line FORMAT(A14,1X,I5)
Cols. 1-12 MID-SIDE NODES
Cols. 16-20 NMSNOD - Number of Mid-Side Nodes to be Input
Subsequent Lines FORMAT (2I5,2F10.0)
Cols. 1- 5 First Node Label (lower label)
Cols. 6-10 Second Node Label (higher label)
Cols.11-20 x-coordinate of node
Cols.21-30 y-coordinate of node
5. MATERIALS SEPARATOR
First Line FORMAT(A9,6X,I5)
Cols. 1- 9 MATERIALS
Cols. 16-20 NMAT - Number of Materials
A set of the following lines accompanies each material.
5
Second Line FORMAT (I5,4X,A1,7F10.0)
Cols. 1- 5 Material Number
Col. 10 ITYPE:
ITYPE.EQ.I - isotropic material
ITYPE.EQ.O - orthotropic material-in Engr.notation
ITYPE.EQ.C - orthotropic material-in Cij notation
ITYPE.EQ.A - anisotropic material
Cols. 11-20 ρ
ITYPE.EQ.I ITYPE.EQ.O ITYPE.EQ.C ITYPE.EQ.A
Cols. 21-30 E E11 C11 C11
Cols. 31-40 ν E22 C12 C12
Cols. 41-50 α E33 C13 C13
Cols. 51-60 ν12 C22 C14
Cols. 61-70 ν13 C23 C15
Cols. 71-80 ν23 C33 C16
Third Line FORMAT (8F10.0)
ITYPE.EQ.O ITYPE.EQ.C ITYPE.EQ.A
Cols. 1-10 G23 C44 C22
Cols. 11-20 G13 C55 C23
Cols. 21-30 G12 C66 C24
Cols. 31-40 α11 α11 C25
Cols. 41-50 α22 α22 C26
Cols. 51-60 α33 α33 C33
Cols. 61-70 C34
Cols. 71-80 C35
6
Fourth Line FORMAT (7F10.0)
ITYPE.EQ.A
Cols. 1-10 C36
Cols. 11-20 C44
Cols. 21-30 C45
Cols. 21-40 C46
Cols. 41-50 C55
Cols. 51-60 C56
Cols. 61-70 C66
Fifth Line FORMAT (7F10.0)
ITYPE.EQ.A
Cols. 1-10 α11
Cols. 11-20 α12
Cols. 21-30 α13
Sixth Line FORMAT (7F10.0)
ITYPE.EQ.A
Cols. 1-10 α22
Cols. 11-20 α23
Seventh Line FORMAT (7F10.0)
ITYPE.EQ.A
Cols. 1-10 α33
7
Material data input can also be summarized in the following manner. The formats denote
the column allocations for the various input data items.
(1) 1st Line Columns → 1-5: 6-10: 11-20: 21-30: 31-40: 41-50: 51-60: 61-70: 71-80:
(2) Subsequent Lines Columns→ 1-10: 11-20: 21-30: 31-40: 41-50: 51-60: 61-70: 71-80:
———————————————————————————————
For ITYPE.EQ.I: input by the columns are
1st Line: Mat Num, I, ρ, E, ν, α
———————————————————————————————
For ITYPE.EQ.O: input by the columns are
1st Line: Mat Num, O, ρ, E11, E22, E33, ν12, ν13, ν23
2nd Line: G23, G13, G12, α11, α22, α33
———————————————————————————————
For ITYPE.EQ.C: input by the columns are
1st Line: Mat Num, C, ρ, C11, C12, C13, C22, C23, C33
2nd Line: C44, C55, C66, α11, α22, α33
———————————————————————————————
For ITYPE.EQ.A: input by the columns are
1st Line: Mat Num, C, ρ, C11, C12, C13, C14, C15, C16
2nd Line: C22, C23, C24, C25, C26, C33, C34, C35
3rd Line: C36, C44, C45, C46, C55, C56, C66
4th Line: α11, α12, α13
5th Line: α22, α23
6th Line: α33
———————————————————————————————
8
6. ELEMENTS SEPARATOR
First Line FORMAT(A8,7X,I5)
Cols. 1- 8 ELEMENTS
Cols. 16-20 NELM - Total Number of Elements
Subsequent Lines FORMAT (9I5)
Cols. 1- 5 Element Label
Cols. 6-10 I-th Node
Cols. 11-15 J-th Node
Cols. 16-20 K-th Node
Cols. 21-25 L-th Node For triangle, input K-th node for L-th node
Cols. 26-30 Mat. No. (from the Table of Materials)
Cols. 31-35 Number of elements to be generated.
Cols. 36-40 Element Label increment
Cols. 41-45 Node Increment for generated elements
7. END FE MODEL SEPARATOR
First Line FORMAT(A12)
Cols. 1-12 END FE MODEL
This SEPARATOR terminates the input data for the cross-section of the anisotropic beam.
———————————————————————————————
9
Formats for Beam’s Length and Restraint Data
1. LENGTH SEPARATOR
FORMAT(A8)
Cols. 1- 8 LENGTH
Cols. 15-20 length of cylinder
2. RESTRAINT SEPARATOR
First Line FORMAT(A8,7x,I5)
Cols. 1- 8 RESTRAINT
Cols. 16-20 NBOUND - Number of Nodes to be Restrained
Subsequent Lines FORMAT(8I5)
Cols. 1- 5 NODE I
Cols. 6-10 NODE J (used only for Mid-Side Nodes)
Cols. 11-15 GT.0 for zero u-displacement boundary condition
Cols. 16-20 GT.0 for zero v-displacement boundary condition
Cols. 21-25 GT.0 for zero w-displacement boundary condition
The restraint data in this section is used to suppress the singularity from stiffness matrix
K3 so that the cross-sectional warpages and particular solutions can be determined. The
information here is not related to the ”end restraints” at the root end of the beam.
———————————————————————————————
10
Formats for Saint-Venant Load Data
1. EXT-BEND-TOR-FLEXURE SEPARATOR
First Line FORMAT(A8,7x,I5)
Cols. 1- 7 EBTFLEX
2. EXT-BEND-TOR-FLEXURE Loads
Second Line FORMAT(4F10.0) Tip end flexure loads
Cols. 11-20 Fy - Shear Force in y-direction
Cols. 21-30 Fx - Shear Force in x-direction
Third Line FORMAT(4F10.0) Tip end ext-bend-tor loads
Cols. 1-10 Fz - Axial Force
Cols. 11-20 Mx - Bending Moment about x-axis
Cols. 21-30 My - Bending Moment about y-axis
Cols. 31-40 Mz - Torque about z-axis
———————————————————————————————
11
Formats for Almansi-Michell - 1
1. Almansi-Michell Level 1 SEPARATOR
First Line FORMAT(A9)
Cols. 1- 9 ALMANSI-1
The surface tractions as well as point loads (which are uniform in the axial direction)
must be self-equilibrated. A plane stress analysis is carried out for these loads.
2. Surface Tractions
Second Line FORMAT(A16,I4)
Cols. 1-16 SURFACE TRACTION
Cols. 16-20 NPATH - Number of surface lengths (between corner nodes)
with surface tractions.
Subsequent Lines FORMAT(2I5,6F10.0,2I5)
Cols. 1- 5 Node I
Cols. 6-10 Node J
Cols. 11-20 Transverse shear at Node I
Cols. 21-30 Normal pressure at Node I
Cols. 31-40 Axial shear at Node I
Cols. 41-50 Transverse shear at Node J
Cols. 51-60 Normal pressure at Node J
Cols. 61-70 Axial shear at Node J
Cols. 71-75 Number of additional surface tractions to be generated
Cols. 75-80 Node increment for generation (default = 1).
3. Line Loads
Third Line FORMAT(A11,4X,I5)
Cols. 1-11 LINE LOADS
Cols. 16-20 LNODES - Number of nodes with loads
Subsequent Lines FORMAT(2I5,3F10.0,2I5)
Cols. 1- 5 Node I (Reserved for Corner Node)
12
Cols. 6-10 Node J (Reserved for Mid-Side Node - Leave Blank
for Corner Node Iuput)*
Cols. 11-20 X-component
Cols. 21-30 Y-component
Cols. 31-40 Z-component
Cols. 41-45 Number of additional point loads to be generated
Cols. 46-50 Node increment for generation (default = 1).
4. Extension-Bending-Torsion Loads
A set of tip end force and moments may be superposed to the surface tractions and
point loads. The response to this set of loads is superposed with that of plane stress
analysis of the surface tractions and point loads.
Fourth Line FORMAT(A9) SEPARATOR
Cols. 1-9 EBT LOADS
Subsequent Line FORMAT(4F10.0) Tip end ext-bend-tor loads
Cols. 1-10 Fz - Axial Force
Cols. 11-20 Mx - Bending Moment about x-axis
Cols. 21-30 My - Bending Moment about y-axis
Cols. 31-40 Mz - Torque about z-axis
———————————————————————————————
13
Formats for Almansi-Michell - 2
1. Almansi-Michell Level 2 SEPARATOR
First Line FORMAT(A9)
Cols. 1- 9 ALMANSI-2
The surface tractions as well as point loads are uniform in the z-direction. The loads
must be self-equilibrated in the x− and y− directions. There can be a force resultant in
the z-direction. Also, only body forces in the z-direction can be treated.
2. Surface Tractions
Second Line FORMAT(A16,I4)
Cols. 1-16 SURFACE TRACTION
Cols. 16-20 NPATH - Number of surface lengths (between corner nodes)
with surface tractions.
Subsequent Lines FORMAT(2I5,6F10.0,2I5)
Cols. 1- 5 Node I
Cols. 6-10 Node J
Cols. 11-20 Transverse shear at Node I
Cols. 21-30 Normal pressure at Node I
Cols. 31-40 Axial shear at Node I
Cols. 41-50 Transverse shear at Node J
Cols. 51-60 Normal pressure at Node J
Cols. 61-70 Axial shear at Node J
Cols. 71-75 Number of additional surface tractions to be generated
Cols. 75-80 Node increment for generation (default = 1).
3. Line Loads
First Line FORMAT(A11,4X,I5)
Cols. 1-11 LINE LOADS
Cols. 16-20 LNODES - Number of nodes with loads
Subsequent Lines FORMAT(2I5,3F10.0,2I5)
14
Cols. 1- 5 Node I (Reserved for Corner Node)
Cols. 6-10 Node J (Reserved for Mid-Side Node - Leave Blank
for Corner Node Iuput)*
Cols. 11-20 X-component
Cols. 21-30 Y-component
Cols. 31-40 Z-component
Cols. 41-45 Number of additional point loads to be generated
Cols. 46-50 Node increment for generation (default = 1).
4. Body Force in z-Direction
Cols. 1-12 BODY FORCE-Z
Cols. 16-20 Acceleration in the z-direction.
5. EXT-BEND-TOR-FLEXURE SEPARATOR
First Line FORMAT(A8,7x,I5)
Cols. 1- 7 EBTFLEX
6. EXT-BEND-TOR-FLEXURE Loads
Second Line FORMAT(4F10.0) Tip end flexure loads
Cols. 11-20 Fy - Shear Force in y-direction
Cols. 21-30 Fx - Shear Force in x-direction
Third Line FORMAT(4F10.0) Tip end ext-bend-tor loads
Cols. 1-10 Fz - Axial Force
Cols. 11-20 Mx - Bending Moment about x-axis
Cols. 21-30 My - Bending Moment about y-axis
Cols. 31-40 Mz - Torque about z-axis
———————————————————————————————
15
Formats for Almansi-Michell - 3
1. Almansi-Michell Level 3 SEPARATOR
First Line FORMAT(A9)
Cols. 1- 9 ALMANSI-3
Uniform surface tractions in the z-direction with resultant loads in the x- and y-
directions are accepted as well as body forces in the x- and y-directions. Linear varying
surface tractions with a resultant force in the z-direction and linear varying moments about
the three coordinate axes are acceptable. A linear varying body force in the axial direction
is also permitted.
2. Uniform Surface Tractions
Second Line FORMAT(A16,I4)
Cols. 1-16 SURFACE TRACTION
Cols. 16-20 NPATH - Number of surface lengths (between corner nodes)
with surface tractions.
Subsequent Lines FORMAT(2I5,6F10.0,2I5)
Cols. 1- 5 Node I
Cols. 6-10 Node J
Cols. 11-20 Transverse shear at Node I
Cols. 21-30 Normal pressure at Node I
Cols. 31-40 Axial shear at Node I
Cols. 41-50 Transverse shear at Node J
Cols. 51-60 Normal pressure at Node J
Cols. 61-70 Axial shear at Node J
Cols. 71-75 Number of additional surface tractions to be generated
Cols. 75-80 Node increment for generation (default = 1).
3. Uniform Line Loads
First Line FORMAT(A11,4X,I5)
Cols. 1-11 LINE LOADS
Cols. 16-20 LNODES - Number of nodes with loads
16
Subsequent Lines FORMAT(2I5,3F10.0,2I5)
Cols. 1- 5 Node I (Reserved for Corner Node)
Cols. 6-10 Node J (Reserved for Mid-Side Node - Leave Blank
for Corner Node Iuput)*
Cols. 11-20 X-component
Cols. 21-30 Y-component
Cols. 31-40 Z-component
Cols. 41-45 Number of additional point loads to be generated
Cols. 46-50 Node increment for generation (default = 1).
4. Body Forces
First Line FORMAT(A11,4X,I5)
Cols. 1-11 BODY FORCES
Cols. 16-20 Acceleration in the x-direction
Cols. 21-30 Acceleration in the y-direction
Cols. 31-40 Acceleration in the z-direction
5. Linear Varying Surface Tractions
Cols. 1-14 LSURF TRACTION
Cols. 16-20 NPATH - Number of surface lengths (between corner nodes)
with surface tractions.
Subsequent Lines FORMAT(2I5,6F10.0,2I5)
Cols. 1- 5 Node I
Cols. 6-10 Node J
Cols. 11-20 Transverse shear at Node I
Cols. 21-30 Normal pressure at Node I
Cols. 31-40 Axial shear at Node I
Cols. 41-50 Transverse shear at Node J
Cols. 51-60 Normal pressure at Node J
Cols. 61-70 Axial shear at Node J
17
Cols. 71-75 Number of additional surface tractions to be generated
Cols. 75-80 Node increment for generation (default = 1).
6. Linear Varying Line Loads
First Line FORMAT(A11,4X,I5)
Cols. 1-12 LLINE LOADS
Cols. 16-20 LNODES - Number of nodes with loads
Subsequent Lines FORMAT(2I5,3F10.0,2I5)
Cols. 1- 5 Node I (Reserved for Corner Node)
Cols. 6-10 Node J (Reserved for Mid-Side Node - Leave Blank
for Corner Node Iuput)*
Cols. 11-20 X-component
Cols. 21-30 Y-component
Cols. 31-40 Z-component
Cols. 41-45 Number of additional point loads to be generated
Cols. 46-50 Node increment for generation (default = 1).
7. Linear Body Force in z-Direction
First Line FORMAT(A11,4X,I5)
Cols. 1-13 LBODY FORCE-Z
Cols. 14-20 Acceleration in the z-direction
8. EXT-BEND-TOR-FLEXURE SEPARATOR
First Line FORMAT(A8,7x,I5)
Cols. 1- 7 EBTFLEX
9. EXT-BEND-TOR-FLEXURE Loads
Second Line FORMAT(4F10.0) Tip end flexure loads
Cols. 11-20 Fy - Shear Force in y-direction
Cols. 21-30 Fx - Shear Force in x-direction
18
Third Line FORMAT(4F10.0) Tip end ext-bend-tor loads
Cols. 1-10 Fz - Axial Force
Cols. 11-20 Mx - Bending Moment about x-axis
Cols. 21-30 My - Bending Moment about y-axis
Cols. 31-40 Mz - Torque about z-axis
19
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