4.17 PIPE17 Elastic Pipe Tee

Options are available to include tee-joint flexibility and stress intensification factors and to print member forces. The element can account for insulation, contained fluid, and a corrosion allowance. See Section 14.17 in the ANSYS Theory Reference for more details about this element.

The I and J nomenclature used in the description of this element refers to the first and second end of each branch of the element, i.e., I-J for branch 1, J-K for branch 2, and J-L for branch 3.

Figure 4.17-1 PIPE17 Elastic Pipe Tee

4.17.1 Input Data

The bending stiffness of this element is similar to that of BEAM4 except that it is modified by the flexibility factor. Each branch has its own element coordinate system, with its origin at the first node of the branch and the element X-axis along the branch axis. The orientation of the branch Y-axis is automatically calculated to be parallel to the global X-Y plane (see Figure 4.17-1). For the case where the branch is parallel to the global Z axis (or within a 0.01 percent slope of it), the branch Y-axis is oriented parallel to the global Y axis. Input and output locations around the pipe circumference identified as being at 0° are located along the branch Y-axis, and similarly 90° is along the branch Z-axis. The flexibility factor (FLEX) is divided into the cross-sectional moment of inertia to produce a modified moment of inertia for the stiffness calculation. FLEX defaults to 1.0 but may be input as any positive value. The internal fluid and external insulation constants are used only to determine the added mass effects for these components.

Element loads are described in Section 2.7. Pressures may be input as surface loads on the element faces as shown by the circled numbers on Figure 4.17-1. Internal pressure (PINT) and external pressure (POUT) are input as positive values. The transverse pressures (PX, PY, and PZ) may represent wind or drag loads (per unit length of the pipe) and are defined in the global Cartesian directions. Positive transverse pressures act in the positive coordinate directions. See Section 14.16.7 of the ANSYS Theory Reference for details.

Temperatures may be input as element body loads at the nodes. Outer and inner wall temperatures may be specified for each branch. Temperatures are assumed to be uniform along each branch. The first temperature for branch 1 (TOUT1) defaults to TUNIF. If all temperatures after the first are unspecified, they default to the first. If both temperatures at branch 1 are input, and all temperatures at branches 2 and 3 are unspecified, they default to the corresponding branch 1 temperatures. For any other input pattern, unspecified temperatures default to TUNIF.

Use TREF and BETAD to supply global values for reference temperature and damping, respectively. Alternatively, use the MAT command to specify element-dependent values for reference temperature (MP,REFT) or damping (MP,DAMP); branch material numbers are ignored for this purpose.

The KEYOPT(2) options for stress intensification factors are discussed in Section 4.16.1.

A summary of the element input is given in Table 4.17-1. A general description of element input is given in Section 2.1.

Table 4.17-1 PIPE17 Input Summary

Element Name	PIPE17
Nodes	I, J, K, L for three branches (I-J, J-K, J-L), or I, J, K for two branches (I-J, J-K), or I, J for one branch (I-J)
Degrees of Freedom	UX, UY, UZ, ROTX, ROTY, ROTZ
Real Constants	OD1, TK1, MAT1, FLEX1, SIF1I, SIF1J, OD2, TK2, MAT2, FLEX2, SIF2J, SIF2K, OD3, TK3, MAT3, FLEX3, SIF3J, SIF3L, DFL1, DIN1, TKIN1, DFL2, DIN2, TKIN2, DFL3, DIN3, TKIN3, TKCORR
Material Properties	EX, ALPX, PRXY or NUXY, DENS, GXY, DAMP REFT Supply DAMP and REFT only once for the element (use MAT command to assign material property set). See the discussion in Section 4.17.1 for more details.
Surface Loads	Pressures: 1-PINT, 2-PX, 3-PY, 4-PZ, 5-POUT
Body Loads	Temperatures: TOUT1, TIN1, TOUT2, TIN2, TOUT3, TIN3 (outer and inner for each branch)
Special Features	Stress stiffening, Large deflection, Birth and death.
KEYOPT(2)	0 - Stress intensity factors from SIF real constants 1 - Tee stress intensity factors at first node of each branch from tee joint calculation 2 - Tee stress intensity factors at second node of each branch from tee joint calculation 3 - Tee stress intensity factors at both nodes of each branch from tee joint calculation
KEYOPT(6)	0 - No printout of member forces or moments 2 - Print member forces and moments in the element coordinate system

4.17.2 Output Data

• nodal displacements included in the overall nodal solution
• additional element output as shown in Table 4.17-2

The direct stress includes the internal pressure (closed end) effect. The direct stress does not include the axial component of the transverse thermal stress. Also printed for each end of each branch are the maximum and minimum principal stresses and the stress intensity. These quantities are computed at the outer surface and may not occur at the same location around the pipe circumference. The effect of the corrosion allowance thickness is also included as described in Section 4.16.1. The principal stresses and the stress intensity include the shear force stress component. The output stresses and the stress intensification factors are calculated as shown in Section 4.16.1. Angles listed in the output are measured as shown () in Figure 4.17-2. A general description of solution output is given in Section 2.2. See the ANSYS Basic Analysis Procedures Guide for ways to view results.

Figure 4.17-2 PIPE17 Stress Output

The following notation is used in Table 4.17-2:

A colon (:) in the Name column indicates the item can be accessed by the Component Name method [ETABLE, ESOL] (see Section 2.2.2). The O and R columns indicate the availability of the items in the file Jobname.OUT (O) or in the results file (R), a Y indicates that the item is always available, a number refers to a table footnote which describes when the item is conditionally available, and a - indicates that the item is not available.

Table 4.17-2 PIPE17 Element Output Definitions

Name	Definition	O	R
EL	Element number	Y	Y
NODES	Nodes - I, J, K, L	Y	Y
VOLU:	Volume	-	Y
CENT: X, Y, Z	Center location XC, YC, ZC	-	Y
TEMP	TOUT1,TIN1, TOUT2, TIN2, TOUT3, TIN3 (outer and inner for each branch)	Y	Y
PRES	PINT, PX, PY, PZ, POUT	Y	Y
MFOR(X, Y, Z)	Member forces at the ends of each branch (in the branch coordinate system)	1	Y
MMOM(X, Y, Z)	Member moments at the ends of each branch (in the branch coordinate system)	1	Y
SFACTI, SFACTJ	Stress intensification factors	2	2
STH	Stress due to maximum thermal gradient through the wall thickness	2	2
SPR2	Hoop pressure stress for code calculations	-	2
SMI, SMJ	Moment stress at nodes I and J for code calculations	-	2
SDIR	Direct (axial) stress	-	2
SBEND	Maximum bending stress at outer surface	-	2
ST	Shear stress at outer surface due to torsion	-	2
SSF	Shear stress due to shear force	-	2
S(1MX, 3MN, INTMX, EQVMX)	Maximum principal stress, minimum principal stress, maximum stress intensity, maximum equivalent stress (all at the outer surface)	2	2
S(1, 3, INT, EQV)	Maximum principal stress, minimum principal stress, stress intensity, equivalent stress	3	3
S(AXL, RAD, H, XH)	Axial, radial, hoop, and shear stresses	3	3
EPEL(AXL, RAD, H, XH)	Axial, radial, hoop, and shear strains	3	3
EPTH(AXL, RAD, H)	Axial, radial, and hoop thermal strain	3	3

1. Only if KEYOPT(6)=2

2. The item repeats for each branch

3. The item repeats at 0,45,90,135,180,225,270,315° at the ends of each branch (all at the outer surface)

The following tables list output available through the ETABLE command using the Sequence Number method. See Chapter 5 of the ANSYS Basic Analysis Procedures Guide and Section 2.2.2.2 of this manual for more information. The following notation is used in Tables 4.17-3 through 4.17-3i:

Name - output quantity as defined in the Table 4.17-2

Item - predetermined Item label for ETABLE command

E - sequence number for single-valued or constant element data

I,J,K - sequence number for data at nodes I,J, and K

BRANCH 1
Node I
Name	Item	E	Circumferential Location
			0°	45°	90°	135°	180°	225°	270°	315°
SAXL	LS	-	1	5	9	13	17	21	25	29
SRAD	LS	-	2	6	10	14	18	22	26	30
SH	LS	-	3	7	11	15	19	23	27	31
SXH	LS	-	4	8	12	16	20	24	28	32
EPELAXL	LEPEL	-	1	5	9	13	17	21	25	29
EPELRAD	LEPEL	-	2	6	10	14	18	22	26	30
EPELH	LEPEL	-	3	7	11	15	19	23	27	31
EPELXH	LEPEL	-	4	8	12	16	20	24	28	32
EPTHAXL	LEPTH	-	1	5	9	13	17	21	25	29
EPTHRAD	LEPTH	-	2	6	10	14	18	22	26	30
EPTHH	LEPTH	-	3	7	11	15	19	23	27	31
S1	NMISC	-	1	6	11	16	21	26	31	36
S3	NMISC	-	3	8	13	18	23	28	33	38
SINT	NMISC	-	4	9	14	19	24	29	34	39
SEQV	NMISC	-	5	10	15	20	25	30	35	40
SBEND	NMISC	268	-	-	-	-	-	-	-	-
SSF	NMISC	269	-	-	-	-	-	-	-	-
MFORX	SMISC	1	-	-	-	-	-	-	-	-
MFORY	SMISC	2	-	-	-	-	-	-	-	-
MFORZ	SMISC	3	-	-	-	-	-	-	-	-
MMOMX	SMISC	4	-	-	-	-	-	-	-	-
MMOMY	SMISC	5	-	-	-	-	-	-	-	-
MMOMZ	SMISC	6	-	-	-	-	-	-	-	-
SDIR	SMISC	37	-	-	-	-	-	-	-	-
ST	SMISC	38	-	-	-	-	-	-	-	-

Table 4.17-3a PIPE17 Item and Sequence Numbers for the ETABLE and ESOL Commands

BRANCH 1
Node J
Name	Item	E	Circumferential Location
			0°	45°	90°	135°	180°	225°	270°	315°
SAXL	LS	-	33	37	41	45	49	53	57	61
SRAD	LS	-	34	38	42	46	50	54	58	62
SH	LS	-	35	39	43	47	51	55	59	63
SXH	LS	-	36	40	44	48	52	56	60	64
EPELAXL	LEPEL	-	33	37	41	45	49	53	57	61
EPELRAD	LEPEL	-	34	38	42	46	50	54	58	62
EPELH	LEPEL	-	35	39	43	47	51	55	59	63
EPELXH	LEPEL	-	36	40	44	48	52	56	60	64
EPTHAXL	LEPTH	-	33	37	41	45	49	53	57	61
EPTHRAD	LEPTH	-	34	38	42	46	50	54	58	62
EPTHH	LEPTH	-	35	39	43	47	51	55	59	63
S1	NMISC	-	41	46	51	56	61	66	71	76
S3	NMISC	-	43	48	53	58	63	68	73	78
SINT	NMISC	-	44	49	54	59	64	69	74	79
SEQV	NMISC	-	45	50	55	60	65	70	75	80
SBEND	NMISC	270	-	-	-	-	-	-	-	-
SSF	NMISC	271	-	-	-	-	-	-	-	-
MFORX	SMISC	7	-	-	-	-	-	-	-	-
MFORY	SMISC	8	-	-	-	-	-	-	-	-
MFORZ	SMISC	9	-	-	-	-	-	-	-	-
MMOMX	SMISC	10	-	-	-	-	-	-	-	-
MMOMY	SMISC	11	-	-	-	-	-	-	-	-
MMOMZ	SMISC	12	-	-	-	-	-	-	-	-
SDIR	SMISC	39	-	-	-	-	-	-	-	-
ST	SMISC	40	-	-	-	-	-	-	-	-

Table 4.17-3b PIPE17 Item and Sequence Numbers for the ETABLE and ESOL Commands

BRANCH 1
Name	Item	E	Circumferential Location
			0°	90°	180°	270°
SFACTI	NMISC	241	-	-	-	-
SFACTJ	NMISC	242	-	-	-	-
SPR2	NMISC	243	-	-	-	-
SMI	NMISC	244	-	-	-	-
SMJ	NMISC	245	-	-	-	-
S1MX	NMISC	256	-	-	-	-
S3MN	NMISC	257	-	-	-	-
SINTMX	NMISC	258	-	-	-	-
SEQVMX	NMISC	259	-	-	-	-
STH	SMISC	41	-	-	-	-
TOUT	LBFE	-	4	1	2	3
TIN	LBFE	-	8	5	6	7

Table 4.17-3c PIPE17 Item and Sequence Numbers for the ETABLE and ESOL Commands

BRANCH 2
Node J
Name	Item	E	Circumferential Location
			0°	45°	90°	135°	180°	225°	270°	315°
SAXL	LS	-	65	69	73	77	81	85	89	93
SRAD	LS	-	66	70	74	78	82	86	90	94
SH	LS	-	67	71	75	79	83	87	91	95
SXH	LS	-	68	72	76	80	84	88	92	96
EPELAXL	LEPEL	-	65	69	73	77	81	85	89	93
EPELRAD	LEPEL	-	66	70	74	78	82	86	90	94
EPELH	LEPEL	-	67	71	75	79	83	87	91	95
EPELXH	LEPEL	-	68	72	76	80	84	88	92	96
EPTHAXL	LEPTH	-	65	69	73	77	81	85	89	93
EPTHRAD	LEPTH	-	66	70	74	78	82	86	90	94
EPTHH	LEPTH	-	67	71	75	79	83	87	91	95
S1	NMISC	-	81	86	91	96	101	106	111	116
S3	NMISC	-	83	88	93	98	103	108	113	118
SINT	NMISC	-	84	89	94	99	104	109	114	119
SEQV	NMISC	-	85	90	95	100	105	110	115	120
SBEND	NMISC	272	-	-	-	-	-	-	-	-
SSF	NMISC	273	-	-	-	-	-	-	-	-
MFORX	SMISC	13	-	-	-	-	-	-	-	-
MFORY	SMISC	14	-	-	-	-	-	-	-	-
MFORZ	SMISC	15	-	-	-	-	-	-	-	-
MMOMX	SMISC	16	-	-	-	-	-	-	-	-
MMOMY	SMISC	17	-	-	-	-	-	-	-	-
MMOMZ	SMISC	18	-	-	-	-	-	-	-	-
SDIR	SMISC	42	-	-	-	-	-	-	-	-
ST	SMISC	43	-	-	-	-	-	-	-	-

Table 4.17-3d PIPE17 Item and Sequence Numbers for the ETABLE and ESOL Commands

BRANCH 2
Node K
Name	Item	E	Circumferential Location
			0°	45°	90°	135°	180°	225°	270°	315°
SAXL	LS	-	97	101	105	109	113	117	121	125
SRAD	LS	-	98	102	106	110	114	118	122	126
SH	LS	-	99	103	107	111	115	119	123	127
SXH	LS	-	100	104	108	112	116	120	124	128
EPELAXL	LEPEL	-	97	101	105	109	113	117	121	125
EPELRAD	LEPEL	-	98	102	106	110	114	118	122	126
EPELH	LEPEL	-	99	103	107	111	115	119	123	127
EPELXH	LEPEL	-	100	104	108	112	116	120	124	128
EPTHAXL	LEPTH	-	97	101	105	109	113	117	121	125
EPTHRAD	LEPTH	-	98	102	106	110	114	118	122	126
EPTHH	LEPTH	-	99	103	107	111	115	119	123	127
S1	NMISC	-	121	126	131	136	141	146	151	156
S3	NMISC	-	123	128	133	138	143	148	153	158
SINT	NMISC	-	124	129	134	139	144	149	154	159
SEQV	NMISC	-	125	130	135	140	145	150	155	160
SBEND	NMISC	274	-	-	-	-	-	-	-	-
SSF	NMISC	275	-	-	-	-	-	-	-	-
MFORX	SMISC	19	-	-	-	-	-	-	-	-
MFORY	SMISC	20	-	-	-	-	-	-	-	-
MFORZ	SMISC	21	-	-	-	-	-	-	-	-
MMOMX	SMISC	22	-	-	-	-	-	-	-	-
MMOMY	SMISC	23	-	-	-	-	-	-	-	-
MMOMZ	SMISC	24	-	-	-	-	-	-	-	-
SDIR	SMISC	44	-	-	-	-	-	-	-	-
ST	SMISC	45	-	-	-	-	-	-	-	-

Table 4.17-3e PIPE17 Item and Sequence Numbers for the ETABLE and ESOL Commands

BRANCH 2
Name	Item	E	Circumferential Location
			0°	90°	180°	270°
SFACTI	NMISC	246	-	-	-	-
SFACTJ	NMISC	247	-	-	-	-
SPR2	NMISC	248	-	-	-	-
SMI	NMISC	249	-	-	-	-
SMJ	NMISC	250	-	-	-	-
S1MX	NMISC	260	-	-	-	-
S3MN	NMISC	261	-	-	-	-
SINTMX	NMISC	262	-	-	-	-
SEQVMX	NMISC	263	-	-	-	-
STH	SMISC	46	-	-	-	-
TOUT	LBFE	-	12	9	10	11
TIN	LBFE	-	16	13	14	15

Table 4.17-3f PIPE17 Item and Sequence Numbers for the ETABLE and ESOL Commands

BRANCH 3
Node J
Name	Item	E	Circumferential Location
			0°	45°	90°	135°	180°	225°	270°	315°
SAXL	LS	-	129	133	137	141	145	149	153	157
SRAD	LS	-	130	134	138	142	146	150	154	158
SH	LS	-	131	135	139	143	147	151	155	159
SXH	LS	-	132	136	140	144	148	152	156	160
EPELAXL	LEPEL	-	129	133	137	141	145	149	153	157
EPELRAD	LEPEL	-	130	134	138	142	146	150	154	158
EPELH	LEPEL	-	131	135	139	143	147	151	155	159
EPELXH	LEPEL	-	132	136	140	144	148	152	156	160
EPTHAXL	LEPTH	-	129	133	137	141	145	149	153	157
EPTHRAD	LEPTH	-	130	134	138	142	146	150	154	158
EPTHH	LEPTH	-	131	135	139	143	147	151	155	159
S1	NMISC	-	161	166	171	176	181	186	191	196
S3	NMISC	-	163	168	173	178	183	188	193	198
SINT	NMISC	-	164	169	174	179	184	189	194	199
SEQV	NMISC	-	165	170	175	180	185	190	195	200
SBEND	NMISC	276	-	-	-	-	-	-	-	-
SSF	NMISC	277	-	-	-	-	-	-	-	-
MFORX	SMISC	25	-	-	-	-	-	-	-	-
MFORY	SMISC	26	-	-	-	-	-	-	-	-
MFORZ	SMISC	27	-	-	-	-	-	-	-	-
MMOMX	SMISC	28	-	-	-	-	-	-	-	-
MMOMY	SMISC	29	-	-	-	-	-	-	-	-
MMOMZ	SMISC	30	-	-	-	-	-	-	-	-
SDIR	SMISC	47	-	-	-	-	-	-	-	-
ST	SMISC	48	-	-	-	-	-	-	-	-

Table 4.17-3g PIPE17 Item and Sequence Numbers for the ETABLE and ESOL Commands

BRANCH 3
Node L
Name	Item	E	Circumferential Location
			0°	45°	90°	135°	180°	225°	270°	315°
SAXL	LS	-	161	165	169	173	177	181	185	189
SRAD	LS	-	162	166	170	174	178	182	186	190
SH	LS	-	163	167	171	175	179	183	187	191
SXH	LS	-	164	168	172	176	180	184	188	192
EPELAXL	LEPEL	-	161	165	169	173	177	181	185	189
EPELRAD	LEPEL	-	162	166	170	174	178	182	186	190
EPELH	LEPEL	-	163	167	171	175	179	183	187	191
EPELXH	LEPEL	-	164	168	172	176	180	184	188	192
EPTHAXL	LEPTH	-	161	165	169	173	177	181	185	189
EPTHRAD	LEPTH	-	162	166	170	174	178	182	186	190
EPTHH	LEPTH	-	163	167	171	175	179	183	187	191
S1	NMISC	-	201	206	211	216	221	226	231	236
S3	NMISC	-	203	208	213	218	223	228	233	238
SINT	NMISC	-	204	209	214	219	224	229	234	239
SEQV	NMISC	-	205	210	215	220	225	230	235	240
SBEND	NMISC	278	-	-	-	-	-	-	-	-
SSF	NMISC	279	-	-	-	-	-	-	-	-
MFORX	SMISC	31	-	-	-	-	-	-	-	-
MFORY	SMISC	32	-	-	-	-	-	-	-	-
MFORZ	SMISC	33	-	-	-	-	-	-	-	-
MMOMX	SMISC	34	-	-	-	-	-	-	-	-
MMOMY	SMISC	35	-	-	-	-	-	-	-	-
MMOMZ	SMISC	36	-	-	-	-	-	-	-	-
SDIR	SMISC	49	-	-	-	-	-	-	-	-
ST	SMISC	50	-	-	-	-	-	-	-	-

Table 4.17-3h PIPE17 Item and Sequence Numbers for the ETABLE and ESOL Commands

BRANCH 3
Name	Item	E	Circumferential Location
			0°	90°	180°	270°
SFACTI	NMISC	251	-	-	-	-
SFACTJ	NMISC	252	-	-	-	-
SPR2	NMISC	253	-	-	-	-
SMI	NMISC	254	-	-	-	-
SMJ	NMISC	255	-	-	-	-
S1MX	NMISC	264	-	-	-	-
S3MN	NMISC	265	-	-	-	-
SINTMX	NMISC	266	-	-	-	-
SEQVMX	NMISC	267	-	-	-	-
STH	SMISC	51	-	-	-	-
TOUT	LBFE	-	20	17	18	19
TIN	LBFE	-	24	21	22	23

Table 4.17-3i PIPE17 Item and Sequence Numbers for the ETABLE and ESOL Commands

Name	Item	E
PINT	SMISC	52
PX	SMISC	53
PY	SMISC	54
PZ	SMISC	55
POUT	SMISC	56

4.17.3 Assumptions and Restrictions

4.17.4 Product Restrictions

ANSYS/LinearPlus

• The DAMP material property is not allowed.
• The only special features allowed are stress stiffening and large deflections.