ABAQUS Verification Manual  


1.4.3 Pipe stress/displacement elements

Product: ABAQUS/Standard  

I. Distributed loads

Problem description

Internal pressures are applied to an effective diameter of 3.6, whereas external pressures are applied to an effective diameter of 4.0. Both open-end and closed-end loading conditions are tested for load types PI, PE, HPI, and HPE. The effective axial force output variable ESF1 also is tested.

Model:

Length15.0
Pipe section data = 2.0, = 0.2
Centrifugal axis of rotation(0, 0, 1) through (7.5, 0, 0)
Gravity load vector(0, 1, 0)

Material:

Young's modulus3 × 106
Poisson's ratio0.3
Density 0.4188

Initial conditions:

Initial temperatureALL, –10.0
Initial velocityALL, 1, 10.0
(Coriolis loading)ALL, 2, 5.0
Hydrostatic pressure datum100.0
Hydrostatic pressure elevation0.0

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

PIPE21 element load tests:


ep22pxd1.inp

CENT, CENTRIF, P2, PI, PE, HPI, HPE, PX, PY, GRAV, CORIO, *TEMPERATURE.

PIPE21H element load tests:


ep2hpxd1.inp

CENT, CENTRIF, P2, PI, PE, HPI, HPE, PX, PY, GRAV, CORIO, *TEMPERATURE.

PIPE22 element load tests:


ep23pxd1.inp

CENT, CENTRIF, P2, PI, PE, HPI, HPE, PX, PY, GRAV, CORIO, *TEMPERATURE.

PIPE22H element load tests:


ep2ipxd1.inp

CENT, CENTRIF, P2, PI, PE, HPI, HPE, PX, PY, GRAV, CORIO, *TEMPERATURE.

PIPE31 element load tests:


ep32pxd1.inp

CENT, CENTRIF, P1, P2, PI, PE, HPI, HPE, PX, PY, PZ, GRAV, CORIO, *TEMPERATURE.

ep32pxd3.inp

F2, perturbation step with *LOAD CASE.

PIPE31H element load tests:


ep3hpxd1.inp

CENT, CENTRIF, P1, P2, PI, PE, HPI, HPE, PX, PY, PZ, GRAV, CORIO, *TEMPERATURE.

PIPE32 element load tests:


ep33pxd1.inp

CENT, CENTRIF, P1, P2, PI, PE, HPI, HPE, PX, PY, PZ, GRAV, CORIO, *TEMPERATURE.

PIPE32H element load tests:


ep3ipxd1.inp

CENT, CENTRIF, P1, P2, PI, PE, HPI, HPE, PX, PY, PZ, GRAV, CORIO, *TEMPERATURE.

II. Foundation types: FX, FY, FZ

Problem description

Model:

Length10
Orientation45° with horizontal axis
Pipe section data = 1.0, = 0.05

Material:

Young's modulus30 × 106
Poisson's ratio0.3

Results and discussion

The calculated reactions are in agreement with the applied loads.

Input files

ep22pxd9.inp

PIPE21: FX, FY.

ep2hpxd9.inp

PIPE21H: FX, FY.

ep23pxd9.inp

PIPE22: FX, FY.

ep2ipxd9.inp

PIPE22H: FX, FY.

ep32pxd9.inp

PIPE31: FX, FY, FZ.

ep3hpxd9.inp

PIPE31H: FX, FY, FZ.

ep33pxd9.inp

PIPE32: FX, FY, FZ.

ep3ipxd9.inp

PIPE32H: FX, FY, FZ.

III. Effective axial force with modal procedures

Element tested

PIPE21   

Problem description

Internal pressures are applied to an effective area of 1.0, while external pressures are applied to an effective area of 2.0. Both open-end and closed-end loading conditions are tested for the effective axial force (output variable ESF1) with load types PI, PE, HPI, and HPE.

Model:

Length100.0
Orientation90° and 45° with horizontal axis
Pipe section data = 1.0, = 0.25

Material:

Young's modulus1 × 106
Poisson's ratio0.0
Density1.0

Results and discussion

The effective axial force output, ESF1, agrees with the analytically determined values, which are documented at the top of the input file.

Input file

xesf1mod.inp

Input file for this analysis.