Verification of beam elements and section types

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

ProductsAbaqus/Standard

Elements tested

  • B21H
  • B22
  • B23H
  • B31
  • B31OS
  • B31OSH
  • B32H
  • B32OS
  • B32OSH
  • B33H
  • PIPE21H
  • PIPE22
  • PIPE31H
  • PIPE32
  • ELBOW31
  • ELBOW31B
  • ELBOW31C
  • ELBOW32

Problem description



The problem consists of a cantilever beam lying along the x-axis. The length of the beam is 75.0, and the model is made up of five elements. For two-dimensional elements, the problem consists of one step in which a transverse load of 25.0 is applied to the end of the beam. For three-dimensional elements this is followed by an additional step in which a moment of 25.0 is applied around the x-axis. Numerous tests with similar geometries and loadings are run to test the available options associated with each of the section definitions. Local coordinate directions are requested in the input files with the open thin-walled slit ring sections (eb3ia3sd.inp, eb3ja3sd.inp, ebo3a3sd.inp) and in two input files using a general beam section (eb32gssd.inp, eb3jgssd.inp).

Material:

Linear elastic, Young's modulus = 3.0 × 106, Poisson's ratio = 0.3.

Section types

Arbitrary (Open and Closed), Box, Channel, Circular, Elbow, General, Hat, Hexagonal, I, L, Nonlinear General, Pipe, Rectangular, Trapezoidal.

Section forces

All problems are statically determinate, and section forces have been verified to be correct.

Reference solution

Solid circular sections:


u2= 9.325 × 10−2, ϕ3= 1.865 × 10−3 (Step 1), ϕ1= 6.466 × 10−5 (Step 2)

Solid square sections:


u2= .8789, ϕ3= 1.758 × 10−2 (Step 1), ϕ1= 7.224 × 10−4 (Step 2)

Solid thin rectangular sections:


u2= .7031, ϕ3= 1.406 × 10−2 (Step 1), ϕ1= 2.440 × 10−4 (Step 2)

Note:

Loadings changed to .0025.

Closed thin-walled pipe sections:


u2= .2712, ϕ3= 5.423 × 10−3 (Step 1), ϕ1= 1.885 × 10−4 (Step 2)

Closed thin-walled box sections:


u2= 1.278, ϕ3= 2.556 × 10−2 (Step 1), ϕ1= 7.521 × 10−4 (Step 2)

Closed thin-walled hexagonal sections:


u2= .3489, ϕ3= 6.978 × 10−3 (Step 1), ϕ1= 2.796 × 10−4 (Step 2)

Open thin-walled I-sections:


u2= .8931, ϕ3= 1.786 × 10−2 (Step 1), ϕ1= 7.537 × 10−2 (Step 2)

Open thin-walled C-sections:


u2= .3564, ϕ3= 7.112 × 10−3 (Step 1), ϕ1= .1081 (Step 2)

Open thin-walled slit ring sections:


u2= 29.84, ϕ3= .5949 (Step 1), ϕ1= 1.388 (Step 2)

Open thin-walled L-sections:


u2= 1.422, ϕ3= 2.857 × 10−2 (Step 1), ϕ1= .6177 (Step 2)

Open thin-walled T-sections:


u2= 4.069, ϕ3= 8.138 × 10−2 (Step 1), ϕ1= .1563 (Step 2)

Results and discussion

The results for Step 1 are within 1% of the analytical values.

The results for Step 2 are less accurate for ϕ. While results for rods and cylinders are exact, other closed sections can have an error of several percent. For open section beams ϕ can have errors in excess of 10% unless an open section beam element type is used. Open section beams include warping, which can have a significant effect on ϕ.

Input files

Arbitrary cross-section, beam section tests:
eb32a1sd.inp

B31 elements, channel-origin at shear center.

eb32a2sd.inp

B31 elements, channel-origin not at shear center.

eb32a3sd.inp

B31 elements, slit circular section.

eb32absd.inp

B31 elements, box section.

eb32aisd.inp

B31 elements, I-section.

eb32alsd.inp

B31 elements, L-section.

eb3ia1sd.inp

B32H elements, channel-origin at shear center.

eb3ia2sd.inp

B32H elements, channel-origin not at shear center.

eb3ia3sd.inp

B32H elements, slit circular section.

eb3iabsd.inp

B32H elements, box section.

eb3iaisd.inp

B32H elements, I-section.

eb3ialsd.inp

B32H elements, L-section.

eb3ja1sd.inp

B33H elements, channel-origin at shear center.

eb3ja2sd.inp

B33H elements, channel-origin not at shear center.

eb3ja3sd.inp

B33H elements, slit circular section.

eb3jabsd.inp

B33H elements, box section.

eb3jaisd.inp

B33H elements, I-section.

eb3jalsd.inp

B33H elements, L-section.

ebo2a1sd.inp

B31OS elements, channel-origin at shear center.

ebo2a2sd.inp

B31OS elements, channel-origin not at shear center.

ebo2a3sd.inp

B31OS elements, slit circular section.

ebo2aisd.inp

B31OS elements, I-section.

ebo2alsd.inp

B31OS elements, L-section.

ebo3a1sd.inp

B32OS elements, channel-origin at shear center.

ebo3a2sd.inp

B32OS elements, channel-origin not at shear center.

ebo3a3sd.inp

B32OS elements, slit circular section.

ebo3aisd.inp

B32OS elements, I-section.

ebo3alsd.inp

B32OS elements, L-section.

eboha1sd.inp

B31OSH elements, channel-origin at shear center.

eboha2sd.inp

B31OSH elements, channel-origin not at shear center.

eboha3sd.inp

B31OSH elements, slit circular section.

ebohaisd.inp

B31OSH elements, I-section.

ebohalsd.inp

B31OSH elements, L-section.

eboia1sd.inp

B32OSH elements, channel-origin at shear center.

eboia2sd.inp

B32OSH elements, channel-origin not at shear center.

eboia3sd.inp

B32OSH elements, slit circular section.

eboiaisd.inp

B32OSH elements, I-section.

eboialsd.inp

B32OSH elements, L-section.

Arbitrary cross-section, general beam section tests:
eb32d1sd.inp

B31 elements, channel-origin at shear center.

eb32d2sd.inp

B31 elements, channel-origin not at shear center.

eb32d3sd.inp

B31 elements, slit circular section.

eb32dbsd.inp

B31 elements, box section.

eb32disd.inp

B31 elements, I-section.

eb32dlsd.inp

B31 elements, L-section.

eb3id1sd.inp

B32H elements, channel-origin at shear center.

eb3id2sd.inp

B32H elements, channel-origin not at shear center.

eb3id3sd.inp

B32H elements, slit circular section.

eb3idbsd.inp

B32H elements, box section.

eb3idisd.inp

B32H elements, I-section.

eb3idlsd.inp

B32H elements, L-section.

eb3jd1sd.inp

B33H elements, channel-origin at shear center.

eb3jd2sd.inp

B33H elements, channel-origin not at shear center.

eb3jd3sd.inp

B33H elements, slit circular section.

eb3jdbsd.inp

B33H elements, box section.

eb3jdisd.inp

B33H elements, I-section.

eb3jdlsd.inp

B33H elements, L-section.

ebo2d1sd.inp

B31OS elements, channel-origin at shear center.

ebo2d2sd.inp

B31OS elements, channel-origin not at shear center.

ebo2d3sd.inp

B31OS elements, slit circular section.

ebo2disd.inp

B31OS elements, I-section.

ebo2dlsd.inp

B31OS elements, L-section.

ebo3d1sd.inp

B32OS elements, channel-origin at shear center.

ebo3d2sd.inp

B32OS elements, channel-origin not at shear center.

ebo3d3sd.inp

B32OS elements, slit circular section.

ebo3disd.inp

B32OS elements, I-section.

ebo3dlsd.inp

B32OS elements, L-section.

ebohd1sd.inp

B31OSH elements, channel-origin at shear center.

ebohd2sd.inp

B31OSH elements, channel-origin not at shear center.

ebohd3sd.inp

B31OSH elements, slit circular section.

ebohdisd.inp

B31OSH elements, I-section.

ebohdlsd.inp

B31OSH elements, L-section.

eboid1sd.inp

B32OSH elements, channel-origin at shear center.

eboid2sd.inp

B32OSH elements, channel-origin not at shear center.

eboid3sd.inp

B32OSH elements, slit circular section.

eboidisd.inp

B32OSH elements, I-section.

eboidlsd.inp

B32OSH elements, L-section.

Box cross-section, beam section tests:
eb23bdsd.inp

B22 elements, default integration.

eb23bnsd.inp

B22 elements, nondefault integration.

eb2hbdsd.inp

B21H elements, default integration.

eb2hbnsd.inp

B21H elements, nondefault integration.

eb2jbdsd.inp

B23H elements, default integration.

eb2jbnsd.inp

B23H elements, nondefault integration.

eb32bdsd.inp

B31 elements, default integration.

eb32bnsd.inp

B31 elements, nondefault integration.

eb3ibdsd.inp

B32H elements, default integration.

eb3ibnsd.inp

B32H elements, nondefault integration.

eb3jbdsd.inp

B33H elements, default integration.

eb3jbnsd.inp

B33H elements, nondefault integration.

Box cross-section, general beam section tests:
eb23exsd.inp

B22 elements.

eb2hexsd.inp

B21H elements.

eb2jexsd.inp

B23H elements.

eb32exsd.inp

B31 elements.

eb3iexsd.inp

B32H elements.

eb3jexsd.inp

B33H elements.

Channel cross-section, general beam section tests:
channel_b31.inp

B31 elements, channel-origin not at shear center.

channel_b32h.inp

B32H elements, channel-origin not at shear center.

channel_b33h.inp

B33H elements, channel-origin not at shear center.

channel_b31os.inp

B31OS elements, channel-origin not at shear center.

channel_b32os.inp

B32OS elements, channel-origin not at shear center.

channel_b31osh.inp

B31OSH elements, channel-origin not at shear center.

channel_b32osh.inp

B32OSH elements, channel-origin not at shear center.

Circular cross-section, beam section tests:
eb23cdsd.inp

B22 elements, default integration.

eb23cnsd.inp

B22 elements, nondefault integration.

eb2hcdsd.inp

B21H elements, default integration.

eb2hcnsd.inp

B21H elements, nondefault integration.

eb2jcdsd.inp

B23H elements, default integration.

eb2jcnsd.inp

B23H elements, nondefault integration.

eb32cdsd.inp

B31 elements, default integration.

eb32cnsd.inp

B31 elements, nondefault integration.

eb3icdsd.inp

B32H elements, default integration.

eb3icnsd.inp

B32H elements, nondefault integration.

eb3jcdsd.inp

B33H elements, default integration.

eb3jcnsd.inp

B33H elements, nondefault integration.

Circular cross-section, general beam section tests:
eb23fxsd.inp

B22 elements.

eb2hfxsd.inp

B21H elements.

eb2jfxsd.inp

B23H elements.

eb32fxsd.inp

B31 elements.

eb3ifxsd.inp

B32H elements.

eb3jfxsd.inp

B33H elements.

General cross-section tests:
eb23gpsd.inp

B22 elements, pipe section.

eb23gssd.inp

B22 elements, solid square section.

eb2hgpsd.inp

B21H elements, pipe section.

eb2hgssd.inp

B21H elements, solid square section.

eb2jgpsd.inp

B23H elements, pipe section.

eb2jgssd.inp

B23H elements, solid square section.

eb32gisd.inp

B31 elements, I-section.

eb32gpsd.inp

B31 elements, pipe section.

eb32gssd.inp

B31 elements, solid square section.

eb3igpsd.inp

B32H elements, pipe section.

eb3igssd.inp

B32H elements, solid square section.

eb3jgpsd.inp

B33H elements, pipe section.

eb3jgssd.inp

B33H elements, solid square section.

ebo2gisd.inp

B31OS elements, I-section.

ebo3gisd.inp

B32OS elements, I-section.

ebohgisd.inp

B31OSH elements, I-section.

ebohgisd.inp

B32OSH elements, I-section.

Hat cross-section, general beam section tests:
hat_b31.inp

B31 elements, hat-origin not at shear center.

hat_b32h.inp

B32H elements, hat-origin not at shear center.

hat_b33h.inp

B33H elements, hat-origin not at shear center.

hat_b31os.inp

B31OS elements, hat-origin not at shear center.

hat_b32os.inp

B32OS elements, hat-origin not at shear center.

hat_b31osh.inp

B31OSH elements, hat-origin not at shear center.

hat_b32osh.inp

B32OSH elements, hat-origin not at shear center.

Hexagonal cross-section, beam section tests:
eb23hdsd.inp

B22 elements, default integration.

eb23hnsd.inp

B22 elements, nondefault integration.

eb2hhdsd.inp

B21H elements, default integration.

eb2hhnsd.inp

B21H elements, nondefault integration.

eb2jhdsd.inp

B23H elements, default integration.

eb2jhnsd.inp

B23H elements, nondefault integration.

eb32hdsd.inp

B31 elements, default integration.

eb32hnsd.inp

B31 elements, nondefault integration.

eb3ihdsd.inp

B32H elements, default integration.

eb3ihnsd.inp

B32H elements, nondefault integration.

eb3jhdsd.inp

B33H elements, default integration.

eb3jhnsd.inp

B33H elements, nondefault integration.

Hexagonal cross-section, general beam section tests:
eb23jxsd.inp

B22 elements.

eb2hjxsd.inp

B21H elements.

eb2jjxsd.inp

B23H elements.

eb32jxsd.inp

B31 elements.

eb3ijxsd.inp

B32H elements.

eb3jjxsd.inp

B33H elements.

I cross-section, beam section tests:
eb23idsd.inp

B22 elements, default integration.

eb23insd.inp

B22 elements, nondefault integration.

eb2hidsd.inp

B21H elements, default integration.

eb2hinsd.inp

B21H elements, nondefault integration.

eb2jidsd.inp

B23H elements, default integration.

eb2jinsd.inp

B23H elements, nondefault integration.

eb32idsd.inp

B31 elements, default integration.

eb32insd.inp

B31 elements, nondefault integration.

eb32itsd.inp

B31 elements, T-section.

eb3iidsd.inp

B32H elements, default integration.

eb3iinsd.inp

B32H elements, nondefault integration.

eb3iitsd.inp

B32H elements, T-section.

eb3jidsd.inp

B33H elements, default integration.

eb3jinsd.inp

B33H elements, nondefault integration.

eb3jitsd.inp

B33H elements, T-section.

ebo2idsd.inp

B31OS elements, default integration.

ebo2insd.inp

B31OS elements, nondefault integration.

ebo2itsd.inp

B31OS elements, T-section.

ebo3idsd.inp

B32OS elements, default integration.

ebo3insd.inp

B32OS elements, nondefault integration.

ebo3itsd.inp

B32OS elements, T-section.

ebohidsd.inp

B31OSH elements, default integration.

ebohinsd.inp

B31OSH elements, nondefault integration.

ebohitsd.inp

B31OSH elements, T-section.

eboiidsd.inp

B32OSH elements, default integration.

eboiinsd.inp

B32OSH elements, nondefault integration.

eboiitsd.inp

B32OSH elements, T-section.

I cross-section, general beam section tests:
eb23kxsd.inp

B22 elements.

eb2hkxsd.inp

B21H elements.

eb2jkxsd.inp

B23H elements.

eb32ktsd.inp

B31 elements, T-section.

eb32kxsd.inp

B31 elements.

eb3iktsd.inp

B32H elements, T-section.

eb3ikxsd.inp

B32H elements.

eb3jktsd.inp

B33H elements. T-section.

eb3jkxsd.inp

B33H elements.

ebo2ktsd.inp

B31OS elements, T-section.

ebo2kxsd.inp

B31OS elements.

ebo3ktsd.inp

B32OS elements, T-section.

ebo3kxsd.inp

B32OS elements.

ebohktsd.inp

B31OSH elements, T-section.

ebohkxsd.inp

B31OSH elements.

eboiktsd.inp

B32OSH elements, T-section.

eboikxsd.inp

B32OSH elements.

L cross-section, beam section tests:
eb32ldsd.inp

B31 elements, default integration.

eb32lnsd.inp

B31 elements, nondefault integration.

eb3ildsd.inp

B32H elements, default integration.

eb3ilnsd.inp

B32H elements, nondefault integration.

eb3jldsd.inp

B33H elements, default integration.

eb3jlnsd.inp

B33H elements, nondefault integration.

ebo2ldsd.inp

B31OS elements, default integration.

ebo2lnsd.inp

B31OS elements, nondefault integration.

ebo3ldsd.inp

B32OS elements, default integration.

ebo3lnsd.inp

B32OS elements, nondefault integration.

ebohldsd.inp

B31OSH elements, default integration.

ebohlnsd.inp

B31OSH elements, nondefault integration.

eboildsd.inp

B32OSH elements, default integration.

eboilnsd.inp

B32OSH elements, nondefault integration.

L cross-section, general beam section tests:
eb32mxsd.inp

B31 elements.

eb3imxsd.inp

B32H elements.

eb3jmxsd.inp

B33H elements.

ebo2mxsd.inp

B31OS elements.

ebo3mxsd.inp

B32OS elements.

ebo3mxsd_mat.inp

B32OS elements, BEAM GENERAL SECTION with MATERIAL parameter.

ebohmxsd.inp

B31OSH elements.

eboimxsd.inp

B32OSH elements.

Nonlinear general cross-section tests:
eb23ncsd.inp

B22 elements, circular section.

eb23nvsd.inp

B22 elements, section data defined using a table of values.

eb2hncsd.inp

B21H elements, circular section.

eb2hnvsd.inp

B21H elements, section data defined using a table of values.

eb2jncsd.inp

B23H elements, circular section.

eb2jnvsd.inp

B23H elements, section data defined using a table of values.

eb32ncsd.inp

B31 elements, circular section.

eb32nvsd.inp

B31 elements, section data defined using a table of values.

eb3incsd.inp

B32H elements, circular section.

eb3invsd.inp

B32H elements, section data defined using a table of values.

eb3jncsd.inp

B33H elements, circular section.

eb3jnvsd.inp

B33H elements, section data defined using a table of values.

Pipe cross-section, beam section tests:
eb23pdsd.inp

B22 elements, default integration.

eb23pnsd.inp

B22 elements, nondefault integration.

eb2hpdsd.inp

B21H elements, default integration.

eb2hpnsd.inp

B21H elements, nondefault integration.

eb2jpdsd.inp

B23H elements, default integration.

eb2jpnsd.inp

B23H elements, nondefault integration.

eb32pdsd.inp

B31 elements, default integration.

eb32pnsd.inp

B31 elements, nondefault integration.

eb3ipdsd.inp

B32H elements, default integration.

eb3ipnsd.inp

B32H elements, nondefault integration.

eb3jpdsd.inp

B33H elements, default integration.

eb3jpnsd.inp

B33H elements, nondefault integration.

ep23pdsd.inp

PIPE22 elements, default integration.

ep23pnsd.inp

PIPE22 elements, nondefault integration.

ep2hpdsd.inp

PIPE21H elements, default integration.

ep2hpnsd.inp

PIPE21H elements, nondefault integration.

ep33pdsd.inp

PIPE32 elements, default integration.

ep33pnsd.inp

PIPE32 elements, nondefault integration.

ep3hpdsd.inp

PIPE31H elements, default integration.

ep3hpnsd.inp

PIPE31H elements, nondefault integration.

Pipe cross-section, general beam section tests:
eb23oxsd.inp

B22 elements.

eb2hoxsd.inp

B21H elements.

eb2joxsd.inp

B23H elements.

eb32oxsd.inp

B31 elements.

eb3ioxsd.inp

B32H elements.

eb3joxsd.inp

B33H elements.

Rectangular cross-section, beam section tests:
eb23rssd.inp

B22 elements, solid square section, default integration.

eb23r4sd.inp

B22 elements, solid square section, nondefault integration.

eb23rrsd.inp

B22 elements, thin rectangular section.

eb23r5sd.inp

B22 elements, thin rectangular section, nondefault integration.

eb2hrssd.inp

B21H elements, solid square section, default integration.

eb2hr4sd.inp

B21H elements, solid square section, nondefault integration.

eb2hrrsd.inp

B21H elements, thin rectangular section.

eb2hr5sd.inp

B21H elements, thin rectangular section, nondefault integration.

eb2jrssd.inp

B23H elements, solid square section, default integration.

eb2jr4sd.inp

B23H elements, solid square section, nondefault integration.

eb2jrrsd.inp

B23H elements, thin rectangular section.

eb2jr5sd.inp

B23H elements, thin rectangular section, nondefault integration.

eb32rssd.inp

B31 elements, solid square section, default integration.

eb32r4sd.inp

B31 elements, solid square section, nondefault integration.

eb32rrsd.inp

B31 elements, thin rectangular section.

eb32r5sd.inp

B31 elements, thin rectangular section, nondefault integration.

eb3irssd.inp

B32H elements, solid square section, default integration.

eb3ir4sd.inp

B32H elements, solid square section, nondefault integration.

eb3irrsd.inp

B32H elements, thin rectangular section.

eb3ir5sd.inp

B32H elements, thin rectangular section, nondefault integration.

eb3jrssd.inp

B33H elements, solid square section, default integration.

eb3jr4sd.inp

B33H elements, solid square section, nondefault integration.

eb3jrrsd.inp

B33H elements, thin rectangular section.

eb3jr5sd.inp

B33H elements, thin rectangular section, nondefault integration.

Rectangular cross-section, general beam section tests:
eb23qrsd.inp

B22 elements, thin rectangular section.

eb23qssd.inp

B22 elements, solid square section, default integration.

eb2hqrsd.inp

B21H elements, thin rectangular section.

eb2hqssd.inp

B21H elements, solid square section, default integration.

eb2jqrsd.inp

B23H elements, thin rectangular section.

eb2jqssd.inp

B23H elements, solid square section, default integration.

eb32qrsd.inp

B31 elements, thin rectangular section.

eb32qssd.inp

B31 elements, solid square section, default integration.

eb3iqrsd.inp

B32H elements, thin rectangular section.

eb3iqssd.inp

B32H elements, solid square section, default integration.

eb3jqrsd.inp

B33H elements, thin rectangular section.

eb3jqssd.inp

B33H elements, solid square section, default integration.

Trapezoidal cross-section, beam section tests:
eb23t4sd.inp

B22 elements, solid square section, nondefault integration.

eb23t5sd.inp

B22 elements, thin rectangular section, nondefault integration.

eb23t6sd.inp

B22 elements, solid square section, nondefault local origin.

eb23trsd.inp

B22 elements, thin rectangular section.

eb23tssd.inp

B22 elements, solid square section, default integration.

eb2ht4sd.inp

B21H elements, solid square section, nondefault integration.

eb2ht5sd.inp

B21H elements, thin rectangular section, nondefault integration.

eb2ht6sd.inp

B21H elements, solid square section, nondefault local origin.

eb2htrsd.inp

B21H elements, thin rectangular section.

eb2htssd.inp

B21H elements, solid square section, default integration.

eb2jt4sd.inp

B23H elements, solid square section, nondefault integration.

eb2jt5sd.inp

B23H elements, thin rectangular section, nondefault integration.

eb2jt6sd.inp

B23H elements, solid square section, nondefault local origin.

eb2jtrsd.inp

B23H elements, thin rectangular section.

eb2jtssd.inp

B23H elements, solid square section, default integration.

eb32t4sd.inp

B31 elements, solid square section, nondefault integration.

eb32t5sd.inp

B31 elements, thin rectangular section, nondefault integration.

eb32t6sd.inp

B31 elements, solid square section, nondefault local origin.

eb32trsd.inp

B31 elements, thin rectangular section.

eb32tssd.inp

B31 elements, solid square section, default integration.

eb3it4sd.inp

B32H elements, solid square section, nondefault integration.

eb3it5sd.inp

B32H elements, thin rectangular section, nondefault integration.

eb3it6sd.inp

B32H elements, solid square section, nondefault local origin.

eb3itrsd.inp

B32H elements, thin rectangular section.

eb3itssd.inp

B32H elements, solid square section, default integration.

eb3jt4sd.inp

B33H elements, solid square section, nondefault integration.

eb3jt5sd.inp

B33H elements, thin rectangular section, nondefault integration.

eb3jt6sd.inp

B33H elements, solid square section, nondefault local origin.

eb3jtrsd.inp

B33H elements, thin rectangular section.

eb3jtssd.inp

B33H elements, solid square section, default integration.

Trapezoidal cross-section, general beam section tests:
eb23s6sd.inp

B22 elements, solid square section, nondefault local origin.

eb23srsd.inp

B22 elements, thin rectangular section.

eb23sssd.inp

B22 elements, solid square section, default integration.

eb2hs6sd.inp

B21H elements, solid square section, nondefault local origin.

eb2hsrsd.inp

B21H elements, thin rectangular section.

eb2hsssd.inp

B21H elements, solid square section, default integration.

eb2js6sd.inp

B23H elements, solid square section, nondefault local origin.

eb2jsrsd.inp

B23H elements, thin rectangular section.

eb2jsssd.inp

B23H elements, solid square section, default integration.

eb32s6sd.inp

B31 elements, solid square section, nondefault local origin.

eb32srsd.inp

B31 elements, thin rectangular section.

eb32sssd.inp

B31 elements, solid square section, default integration.

eb3is6sd.inp

B32H elements, solid square section, nondefault local origin.

eb3isrsd.inp

B32H elements, thin rectangular section.

eb3isssd.inp

B32H elements, solid square section, default integration.

eb3js6sd.inp

B33H elements, solid square section, nondefault local origin.

eb3jsrsd.inp

B33H elements, thin rectangular section.

eb3jsssd.inp

B33H elements, solid square section, default integration.

Reference solutions:
erefscsd.inp

Reference solution for the circular section beams.

erefsisd.inp

Reference solution for the I-section beams.

erefslsd.inp

Reference solution for the L-section beams.

erefstsd.inp

Reference solution for the T-section beams.