user manual 2013

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

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Length of Beam and Restraints at Root End

(1) LENGTH SEPARATOR

(2) RESTRAINT SEPARATOR

Kinematic Restraints Data

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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

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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

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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.





Line load data

(4) z-BODY FORCE


Tip End Loads for Extension-Bending-Torsion-Flexure

2

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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.





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


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 *


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


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

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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

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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


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


Cols. 1-12 END FE MODEL

This SEPARATOR terminates the input data for the cross-section of the anisotropic beam.

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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.

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Formats for Saint-Venant Load Data

1. EXT-BEND-TOR-FLEXURE SEPARATOR


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

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11

Formats for Almansi-Michell - 1

1. Almansi-Michell Level 1 SEPARATOR


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


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


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





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13





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






Cols. 1- 5 Node I

Cols. 6-10 Node J









3. Line Loads





14









4. Body Force in z-Direction

Cols. 1-12 BODY FORCE-Z

Cols. 16-20 Acceleration in the z-direction.



Cols. 1- 7 EBTFLEX










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15





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






Cols. 1- 5 Node I

Cols. 6-10 Node J









3. Uniform Line Loads




16










4. Body Forces


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. 1- 5 Node I

Cols. 6-10 Node J







17



6. Linear Varying Line Loads


Cols. 1-12 LLINE LOADS











7. Linear Body Force in z-Direction


Cols. 1-13 LBODY FORCE-Z

Cols. 14-20 Acceleration in the z-direction



Cols. 1- 7 EBTFLEX





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user manual 2013

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