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BEAM3

2-D Elastic Beam

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Product Restrictions

BEAM3 Element Description

BEAM3 is a uniaxial element with tension, compression, and bending capabilities. The element has three degrees of freedom at each node: translations in the nodal x and y directions and rotation about the nodal z-axis. See BEAM3 in the Theory Reference for ANSYS and ANSYS Workbench for more details about this element. Other 2-D beam elements are the plastic beam (BEAM23) and the tapered unsymmetric beam (BEAM54).

Figure 3.1  BEAM3 Geometry

BEAM3 Input Data

Figure 3.1: "BEAM3 Geometry" shows the geometry, node locations, and the coordinate system for this element. The element is defined by two nodes, the cross-sectional area, the area moment of inertia, the height, and the material properties. The initial strain in the element (ISTRN) is given by Δ/L, where Δ is the difference between the element length, L (as defined by the I and J node locations), and the zero strain length. The initial strain is also used in calculating the stress stiffness matrix, if any, for the first cumulative iteration.

You can use the element in an axisymmetric analysis if hoop effects are negligible, such as for bolts, slotted cylinders, etc. The area and moment of inertia must be input on a full 360° basis for an axisymmetric analysis. The shear deflection constant (SHEARZ) is optional. You can use a zero value of SHEARZ to neglect shear deflection. See Shear Deflection for details. The shear modulus (GXY) is used only with shear deflection. You can specify an added mass per unit length with the ADDMAS real constant.

Node and Element Loads describes element loads. You can specify pressures as surface loads on the element faces, shown by the circled numbers in Figure 3.1: "BEAM3 Geometry". Positive normal pressures act into the element. You specify lateral pressures as a force per unit length. End "pressures" are input as a force. KEYOPT(10) allows tapered lateral pressures to be offset from the nodes. You can specify temperatures as element body loads at the four "corner" locations shown in Figure 3.1: "BEAM3 Geometry". The first corner temperature T1 defaults to TUNIF. If all other temperatures are unspecified, they default to T1. If only T1 and T2 are input, T3 defaults to T2 and T4 defaults to T1. For any other input pattern, unspecified temperatures default to TUNIF.

KEYOPT(9) is used to request output at intermediate locations. It is based on equilibrium (free body of a portion of the element) considerations and is not valid if:

  • stress stiffening is turned on [SSTIF,ON]

  • more than one component of angular velocity is applied [OMEGA]

  • any angular velocities or accelerations are applied with the CGOMGA, DOMEGA, or DCGOMG commands.

"BEAM3 Input Summary" summarizes the element input. Element Input contains a general description of element input.

BEAM3 Input Summary

Nodes

I, J

Degrees of Freedom

UX, UY, ROTZ

Real Constants
AREA - Cross-sectional area
IZZ - Area moment of inertia
HEIGHT - Total beam height
SHEARZ - Shear deflection constant
ISTRN - Initial strain
ADDMAS - Added mass per unit length

Note

SHEARZ goes with the IZZ. If SHEARZ = 0, there is no shear deflection in the element Y direction.

Material Properties

EX, ALPX (or CTEX or THSX), DENS, GXY, DAMP

Surface Loads
Pressure -- 
face 1 (I-J) (-Y normal direction)
face 2 (I-J) (+X tangential direction)
face 3 (I) (+X axial direction)
face 4 (J) (-X axial direction) (use a negative value for loading in the opposite direction)
Body Loads
Temperatures -- 

T1, T2, T3, T4

Special Features
Stress stiffening
Large deflection
Birth and death
KEYOPT(6)

Member force and moment output:

0 -- 

No printout of member forces and moments

1 -- 

Print out member forces and moments in the element coordinate system

KEYOPT(9)

Output at intermediate points between ends I and J:

N -- 

Output at N intermediate locations (N = 0, 1, 3, 5, 7, 9)

KEYOPT(10)

Load location, used in conjunction with the offset values input on the SFBEAM command):

0 -- 

Offset is in terms of length units

1 -- 

Offset is in terms of a length ratio (0.0 to 1.0)

BEAM3 Output Data

The solution output associated with the element is in two forms:

Figure 3.2: "BEAM3 Stress Output" illustrates several items. Solution Output gives a general description of solution output. See the Basic Analysis Guide for ways to view results.

Figure 3.2  BEAM3 Stress Output

The Element Output Definitions table uses the following notation:

A colon (:) in the Name column indicates the item can be accessed by the Component Name method [ETABLE, ESOL]. The O column indicates the availability of the items in the file Jobname.OUT. The R column indicates the availability of the items in the results file.

In either the O or R columns, Y indicates that the item is always available, a number refers to a table footnote that describes when the item is conditionally available, and a - indicates that the item is not available.

Table 3.1  BEAM3 Element Output Definitions

NameDefinitionOR
ELElement NumberYY
NODESElement nodes - I, JYY
MATElement material numberYY
VOLU:Element volumeNY
XC, YCLocation where results are reportedY3
TEMPTemperatures T1, T2, T3, T4YY
PRESPressure P1 at nodes I,J; OFFST1 at I,J; P2 at I,J; OFFST2 at I, J; P3 at I; P4 at JYY
SDIRAxial direct stress11
SBYTBending stress on the element +Y side of the beam11
SBYBBending stress on the element -Y side of the beam11
SMAXMaximum stress (direct stress + bending stress)11
SMINMinimum stress (direct stress - bending stress)11
EPELDIRAxial elastic strain at the end11
EPELBYTBending elastic strain on the element +Y side of the beam11
EPELBYBBending elastic strain on the element -Y side of the beam11
EPTHDIRAxial thermal strain at the end11
EPTHBYTBending thermal strain on the element +Y side of the beam11
EPTHBYBBending thermal strain on the element -Y side of the beam11
EPINAXLInitial axial strain in the element11
MFOR(X, Y)Member forces in the element coordinate system X and Y direction2Y
MMOMZMember moment in the element coordinate system Z direction2Y
  1. The item repeats for end I, intermediate locations (see KEYOPT(9)), and end J.

  2. If KEYOPT(6) = 1.

  3. Available only at centroid as a *GET item.

The following tables list output available through the ETABLE command using the Sequence Number method. See The General Postprocessor (POST1) of the Basic Analysis Guide and The Item and Sequence Number Table of this manual for more information. Table 3.2: "BEAM3 Item and Sequence Numbers (KEYOPT(9) = 0)" through Table 3.7: "BEAM3 Item and Sequence Numbers (KEYOPT(9) = 9)" all use the following notation:

Name

output quantity as defined in the Table 3.1: "BEAM3 Element Output Definitions"

Item

predetermined Item label for ETABLE command

E

sequence number for single-valued or constant element data

I,J

sequence number for data at nodes I and J

ILN

sequence number for data at Intermediate Location N

Table 3.2  BEAM3 Item and Sequence Numbers (KEYOPT(9) = 0)

Output Quantity NameETABLE and ESOL Command Input
ItemEIJ
SDIRLS-14
SBYTLS-25
SBYBLS-36
EPELDIRLEPEL-14
EPELBYTLEPEL-25
EPELBYBLEPEL-36
EPTHDIRLEPTH-14
EPTHBYTLEPTH-25
EPTHBYBLEPTH-36
EPINAXLLEPTH7--
SMAXNMISC-13
SMINNMISC-24
MFORXSMISC-17
MFORYSMISC-28
MMOMZSMISC-612
P1SMISC-1314
OFFST1SMISC-1516
P2SMISC-1718
OFFST2SMISC-1920
P3SMISC-21-
P4SMISC--22
 Pseudo Node
 1234
TEMPLBFE1234

Table 3.3  BEAM3 Item and Sequence Numbers (KEYOPT(9) = 1)

Output Quantity NameETABLE and ESOL Command Input
ItemEIILIJ
SDIRLS-147
SBYTLS-258
SBYBLS-369
EPELDIRLEPEL-147
EPELBYTLEPEL-258
EPELBYBLEPEL-369
EPTHDIRLEPTH-147
EPTHBYTLEPTH-258
EPTHBYBLEPTH-369
EPINAXLLEPTH10---
SMAXNMISC-135
SMINNMISC-246
MFORXSMISC-1713
MFORYSMISC-2814
MMOMZSMISC-61218
P1SMISC-19-20
OFFST1SMISC-21-22
P2SMISC-23-24
OFFST2SMISC-25-26
P3SMISC-27--
P4SMISC---28
 Pseudo Node
 1234
TEMPLBFE1234

Table 3.4  BEAM3 Item and Sequence Numbers (KEYOPT(9) = 3)

Output Quantity NameETABLE and ESOL Command Input
ItemEIIL1IL2IL3J
SDIRLS-1471013
SBYTLS-2581114
SBYBLS-3691215
EPELDIRLEPEL-1471013
EPELBYTLEPEL-2581114
EPELBYBLEPEL-3691215
EPTHDIRLEPTH-1471013
EPTHBYTLEPTH-2581114
EPTHBYBLEPTH-3691215
EPINAXLLEPTH16-----
SMAXNMISC-13579
SMINNMISC-246810
MFORXSMISC-17131925
MFORYSMISC-28142026
MMOMZSMISC-612182430
P1SMISC-31---32
OFFST1SMISC-33---34
P2SMISC-35---36
OFFST2SMISC-37---38
P3SMISC-39----
P4SMISC-----40
 Pseudo Node
 1234
TEMPLBFE1234

Table 3.5  BEAM3 Item and Sequence Numbers (KEYOPT(9) = 5)

Output Quantity NameETABLE and ESOL Command Input
ItemEIIL1IL2IL3IL4IL5J
SDIRLS-14710131619
SBYTLS-25811141720
SBYBLS-36912151821
EPELDIRLEPEL-14710131619
EPELBYTLEPEL-25811141720
EPELBYBLEPEL-36912151821
EPTHDIRLEPTH-14710131619
EPTHBYTLEPTH-25811141720
EPTHBYBLEPTH-36912151821
EPINAXLLEPTH22-------
SMAXNMISC-135791113
SMINNMISC-2468101214
MFORXSMISC-171319253137
MFORYSMISC-281420263238
MMOMZSMISC-6121824303642
P1SMISC-43-----44
OFFST1SMISC-45-----46
P2SMISC-47-----48
OFFST2SMISC-49-----50
P3SMISC-51------
P4SMISC-------52
 Pseudo Node
 1234
TEMPLBFE1234

Table 3.6  BEAM3 Item and Sequence Numbers (KEYOPT(9) = 7)

Output Quantity NameETABLE and ESOL Command Input
ItemEIIL1IL2IL3IL4IL5IL6IL7J
SDIRLS-147101316192225
SBYTLS-258111417202326
SBYBLS-369121518212427
EPELDIRLEPEL-147101316192225
EPELBYTLEPEL-258111417202326
EPELBYBLEPEL-369121518212427
EPTHDIRLEPTH-147101316192225
EPTHBYTLEPTH-258111417202326
EPTHBYBLEPTH-369121518212427
EPINAXLLEPTH28---------
SMAXNMISC-1357911131517
SMINNMISC-24681012141618
MFORXSMISC-1713192531374349
MFORYSMISC-2814202632384450
MMOMZSMISC-61218243036424854
P1SMISC-55-------56
OFFST1SMISC-57-------58
P2SMISC-59-------60
OFFST2SMISC-61-------62
P3SMISC-63--------
P4SMISC- -------64
 Pseudo Node
 1234
TEMPLBFE1234

Table 3.7  BEAM3 Item and Sequence Numbers (KEYOPT(9) = 9)

Output Quantity NameETABLE and ESOL Command Input
ItemEIIL1IL2IL3IL4IL5IL6IL7IL8IL9J
SDIRLS-1471013161922252831
SBYTLS-2581114172023262932
SBYBLS-3691215182124273033
EPELDIRLEPEL-1471013161922252831
EPELBYTLEPEL-2581114172023262932
EPELBYBLEPEL-3691215182124273033
EPTHDIRLEPTH-1471013161922252831
EPTHBYTLEPTH-2581114172023262932
EPTHBYBLEPTH-3691215182124273033
EPINAXLLEPTH34-----------
SMAXNMISC-13579111315171921
SMINNMISC-246810121416182022
MFORXSMISC-17131925313743495561
MFORYSMISC-28142026323844505662
MMOMZSMISC-612182430364248546066
P1SMISC-67---------68
OFFST1SMISC-69---------70
P2SMISC-71---------72
OFFST2SMISC-73---------74
P3SMISC-75----------
P4SMISC-----------76
 Pseudo Node
 1234
TEMPLBFE1234

BEAM3 Assumptions and Restrictions

  • The beam element must lie in an X-Y plane and must not have a zero length or area.

  • The beam element can have any cross-sectional shape for which the moment of inertia can be computed. However, the stresses are determined as if the distance from the neutral axis to the extreme fiber is one-half of the height.

  • The element height is used only in the bending and thermal stress calculations.

  • The applied thermal gradient is assumed linear across the height and along the length.

  • The moment of inertia may be zero if large deflections are not used.

BEAM3 Product Restrictions

When used in the product(s) listed below, the stated product-specific restrictions apply to this element in addition to the general assumptions and restrictions given in the previous section.

ANSYS Professional. 

  • The DAMP material property is not allowed.

  • The only special features allowed are stress stiffening and large deflections.

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