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Linearized Stress

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It is customary in beam design to employ components of axial stress that contribute to axial loads and bending in each direction separately. Therefore, BEAM188 provides a linearized stress output as part of its SMISC output record, as indicated in the following definitions:

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SDIR is the stress component due to axial load.

SDIR ÊÇÖáÁ¦ÒýÆðµÄÓ¦Á¦·ÖÁ¿¡£

SDIR = FX/A, where FX is the axial load (SMISC quantities 1 and 14) and A is the area of the cross section.

SDIR£½FX/A£¬FX ÊÇÖáÁ¦£¨SMISC µÄÊýֵΪ1 ºÍ14£©£¬A ±íʾ½ØÃæÃæ»ý¡£

SBYT and SBYB are bending stress components.

SBYT ºÍSBYB ÊÇÍäÇúÓ¦Á¦·ÖÁ¿¡£

SBYT = -MZ * ymax / Izz SBYB = -MZ * ymin / Izz SBZT = MY * zmax / Iyy SBZB = MY * zmin / Iyy

where MY, MZ are bending moments (SMISC quantities 2,15,3,16). Coordinates ymax, ymin, zmax, and zmin are the maximum and minimum y, z coordinates in the cross

section measured from the centroid. Values Iyy and Izz are moments of inertia of the cross section. Except for the ASEC type of beam cross section, ANSYS uses the maximum and minimum cross section dimensions. For the ASEC type of cross section, the maximum and minimum in each of Y and Z direction is assumed to be +0.5 to -0.5, respectively.

ÕâÀïMY¡¢MZ ÊÇÍä¾à£¨SMISC ÊýÖµÊÇ2¡¢15¡¢3¡¢16£©¡£×ø±êymax, ymin, zmax, ºÍ zmin ÊÇy ºÍz ×ø±êµÄ×î´óºÍ×îСֵ¡£Iyy ºÍIzz ÊǽØÃæ¹ßÐԾࡣ¶ÔÓÚASEC Áº½ØÃ棬ANSYS ÓÃ×î´óºÍ×îС½ØÃæ³ß¶È£¬¶ÔÓÚASEC ÖÖÀàµÄ½ØÃ棬×î´ó×îСµÄY ºÍZ ·½ÏòÖ±½Ó·Ö±ð¼Ù¶¨ÔÚ+0.5 µ½-0.5¡£

Corresponding definitions for the component strains are:

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EPELDIR = EX EPELBYT = -KZ * ymax EPELBYB = -KZ * ymin EPELBZT = KY * zmax EPELBZB = KY * zmin

where EX, KY, and KZ are generalized strains and curvatures (SMISC quantities 7,8,9, 20,21 and 22).

ÕâÀïEX¡¢KY ºÍKZ ÊÇ×ÜÓ¦Á¦ºÍÇúÂÊ£¨SMISC ÊýÖµÊÇ7,8,9, 20,21 ºÍ22£©

The reported stresses are strictly valid only for elastic behavior of members.

BEAM188 always employs combined stresses in order to support nonlinear material behavior. When the elements are associated with nonlinear materials, the component stresses may at best be regarded as linearized approximations and should be interpreted with caution.

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The Element Output Definitions table uses the following notation:

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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.

name Áбíʾ¸ÃÏîÄ¿¿ÉÒÔͨ¹ý¹¹³ÉÃû×ֵķ½·¨À´»ñµÃ[ETABLE, ESOL]¡£µÚO Áбíʾ¸ÃÏîÓÐЧµÄ˵Ã÷ÔÚÎļþJobname.OUT ÖС£R Áбíʾ¸ÃÏîµÄ½á¹ûÏÔʾÔÚresults ÎļþÖС£

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.

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Table 188.1 BEAM188 Element Output Definitions ±í 188.1 BEAM188µ¥ÔªÊä³ö¶¨Òå

Name EL NODES MAT C.G.:X, Y, Z AREA SF:Y, Z SE:Y, Z Element number Element connectivity Material number Center of gravity Area of cross-section Section shear forces Section shear strains Definition O R Y Y Y Y Y Y Y Y 1Y 1Y 1Y S:XX, XZ, XY Section point stresses E:XX, XZ, XY Section point strains MX KX KY, KZ EX FX MY, MZ BM BK SDIR SBYT SBYB SBZT SBZB EPELDIR EPELBYT EPELBYB EPELBZT EPELBZB TEMP Torsional moment Torsional strain Curvature Axial strain Axial force Bending moments Bimoment Bicurvature Axial direct stress Bending stress on the element +Y side of the beam Bending stress on the element -Y side of the beam Bending stress on the element +Z side of the beam Bending stress on the element -Z side of the beam Axial strain at the end Bending strain on the element +Y side of the beam. Bending strain on the element -Y side of the beam. Bending strain on the element +Z side of the beam. Bending strain on the element -Zside of the beam. Temperatures T0, T1(1,0), T2(0,1) 2Y 2Y Y Y Y Y Y Y Y Y Y Y Y Y 3333- 1- 1- 1- 1- 1- 1- 1- 1- 1- 1- 1Name Definition O R Note More output is described via the PRSSOL command in /POST1. 1. See KEYOPT(6) description.²ÎÕÕKEYOPT(6)¹¦ÄÜ˵Ã÷¡£

2. See KEYOPT(7), KEYOPT(8), KEYOPT(9) descriptions. ²ÎÕÕKEYOPT(7)¡¢

KEYOPT(8)¡¢KEYOPT(9)¹¦ÄÜ˵Ã÷¡£

3. See KEYOPT(1) description. ²ÎÕÕKEYOPT(1)¹¦ÄÜ˵Ã÷¡£

Table 188.2: \ lists output available through ETABLE using the Sequence Number method. See Creating an Element Table in the ANSYS Basic Analysis Guide and The Item and Sequence Number Table in this

manual for more information. Table 188.2: \ uses the following notation:

±í188.2: \ÁгöÁËͨ¹ýetable ÃüÁîÓÃÐòÁкŷ½·¨ÌṩµÄÊä³ö¡£²Î¼ûANSYS Basic Analysis Guide ÖеÄCreating an Element Table ºÍThe Item and Sequence Number Table À´»ñÈ¡¸ü¶àµÄÐÅÏ¢¡£

Name

output quantity as defined in the Table 188.1: \Definitions\

ÔÚ±í 188.1: \Öж¨ÒåµÄÊä³öÁ¿

Item

predetermined Item label for ETABLE

etable Ìáǰ¶¨ÒåµÄÏîÄ¿±êÇ©

I,J

sequence number for data at nodes I and J

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