Two Ball Joint Installation without Cold Setting
To size an 8” two ball joint offset for 6” movement
at 250 psi, use Table 1. The recommended Center to
Center “CC” is 72”, the Intermediate Pipe Length “L”
is 58” and the Drop in Elevation “Y” is 0.25”. Table 4
shows the Force “F” on Anchor as 1100 lbs. A stain-
less expansion joint thrust is 12,000 lbs., 11 times the
required anchorage for the ball joints.
Two Ball Joint Installation with Cold Setting
To size an 8” two ball joint offset for 6” movement at
250 psi with cold set, use Table 2. The recommended
Center to Center “CC” is 36”, the Intermediate Pipe
Length “L” is 22” and the Drop in Elevation “Y” is 0.13”.
Table 4 shows the Force “F” on Anchor as 2200 lbs.
This force is still much lower than the stainless expan-
sion joint thrust of 12,000 lbs., which is 5.5 times
the required anchorage for the ball joints.
Four Ball Joint Installation without Cold Setting
To size an 8” four ball joint loop for 6” movement,
divide the 6” movement by two, as there are two 3”
movement legs. Using Table 1, 4” column, “CC” is
48”, “L” is 34” and “Y” is 0.17”. To size the spreader
pipe “SP” so the two legs of the loop do not clash, use
Table 3 for a Minimum Spreader Length “SP” of 24”.
“Cold Set” designs are the same as above, using Table 2.
FRICTION FORCES
Pipe Friction is usually taken as 30% of the pipe
weight between anchors. Add this force to Table 4 or
calculated numbers as an additional force on anchors.
CALCULATIONS
For engineers who prefer to do their own calcs.
Refer to Figure 1 for definitions of “CC”, “L”, “CR”,
“EE”, “JL” and “Y”; Table 4 for “F” and “T”; and Table
5for“Θ”.
Two Ball Joint Installation without Cold Setting
Example: 10” steam line, thermal expansion 7”.
CC = X / [Sin (Θ/2)] = 7” / [Sin (12°/2)] = 67”
L = CC - (2 x CR) = 67” - (2 x 7.625”) = 51.75”
EE = L + (2 x JL) = 51.75” + (2 x 16”) = 83.75”
Y
= CC – (CC
2
– X
2
)
1/2
= 67” – (67
2
– 7
2
)
1/2
= 0.37”
For 0.37” movement, we recommend a spring hanger
with a deflection 4 times “Y” or 1.48”, i.e. Mason 1.5”
deflection 30N hanger.
F = 2T / CC = 2 x 6000 ft-lbs / 5.58 ft = 2151 lbs.
Two Ball Joint Installation with Cold Setting
Example: 10” steam line, thermal expansion 9”.
CC=[X/2]/[Sin(Θ/2)]= [9”/2] / [Sin (12°/2)] = 43”
L = CC - (2 x CR) = 43” - (2 x 7.625”) = 27.75”
EE = L + (2 x JL) = 27.75” + (2 x 16”) = 59.75”
Y = CC – (CC
2
– (X/2)
2
)
1/2
= 43” – (43
2
– (9/2)
2
)
1/2
= 0.24”
For 0.24” movement, we recommend a spring hanger
with a deflection 4 times “Y” or 0.96”, i.e. Mason 1”
deflection 30N hanger.
F = 2T / CC = 2 x 6000 ft-lbs/ 3.58 ft = 3352 lbs.
3
TABLE 4
STARTING RESISTANCE AT 250psi See Figure 4
Up to Up to
Pipe Movement “X”
Pipe
Torque
4” 4” 6” 6” 8” 8” 10” 10” 12” 12”
Size “T”
(in) (ft-lbs)
Force “F”* (lbs) on Anchors Without & With Cold Setting
2 200 200 400 133 267 100 200 80 160 67 133
2
1
/2 230 115 230 77 153 58 115 46 92 38 77
3 320 160 320 107 213 80 160 64 128 53 107
4 600 300 600 200 400 150 300 120 240 100 200
5 1000 500 1000 333 667 250 500 200 400 167 333
6 2000 1000 2000 667 1333 500 1000 400 800 333 667
8 3300 1650 3300 1100 2200 825 1650 660 1320 550 1100
10 6000 3000 6000 2000 4000 1500 3000 1200 2400 1000 2000
12 7500 3750 7500 2500 5000 1875 3750 1500 3000 1250 2500
14 11000 5500 11000 3667 7333 2750 5500 2200 4400 1833 3667
Pipe Size Maximum ΘRecommended Angle
(inches) Angle with 20% Safety Factor
2 30° 24°
2
1
/2 - 14 15° 12°
TABLE 5
BALL JOINT ANGULAR MOVEMENT
In all
engineered
systems, a
safety factor
is important.
TABLE 1 “CC”, “L”, and “Y” DIMENSIONS for TWO JOINT
INSTALLATION WITHOUT COLD SETTING See Figure 1
Pipe
Up to
Pipe Movement “X”
Size
4” 5” 6” 7” 8” 9” 10” 11” 12”
(inches) Ball Joint Centers “CC” (inches)
2 24 30 36 42 48 54 60 66 72
2
1
/2-14 48 60 72 84 96 108 120 132 144
Size Intermittent Pipe Length “L” (inches)
2 16 22 28 34 40 46 52 58 64 4 7
2
1
/2 40 52 64 76 88 100 112 124 136 4
1
/8 7
7
/8
3 39 51 63 75 87 99 111 123 135 4
3
/8 8
1
/2
4 38 50 62 74 86 98 110 122 134 5 10
1
/2
5 38 50 62 74 86 98 110 122 134 5
1
/8 10
5
/8
6 37 49 61 73 85 97 109 121 133 5
5
/8 11
7
/8
8 34 46 58 70 82 94 106 118 130 7 14
3
/8
10 33 45 57 69 81 93 105 117 129 7
5
/8 16
12 29 41 53 65 77 89 101 113 125 9
1
/2 18
1
/8
14 27 39 51 63 75 87 99 111 123 10
1
/2 19
1
/4
Size Drop in Elevation “Y” (inches)
2 .34 .42 .50 .59 .67 .76 .84 .92 1.01
2
1
/2-14 .17 .21 .25 .29 .33 .38 .42 .46 .50
CR
Ball Joint
Center of
Rotation
(inches)
JL
Ball
Joint
Length
(inches)
TABLE 2 “CC”, “L”, and “Y” DIMENSIONS for TWO JOINT
INSTALLATION WITH COLD SETTING See Figure 2
Pipe
Up to
Pipe Movement “X”
Size
4” 5” 6” 7” 8” 9” 10” 11” 12”
(inches) Ball Joint Centers “CC” (inches)
2 12 15 18 21 24 27 30 33 36
2
1
/2-14 24 30 36 42 48 54 60 66 72
Size Intermittent Pipe Length “L” (inches)
2 4 7 10 13 16 19 22 25 28 4 7
2
1
/2 16 22 28 34 40 46 52 58 64 4
1
/8 7
7
/8
3 15 21 27 33 39 45 51 57 63 4
3
/8 8
1
/2
4 14 20 26 32 38 44 50 56 62 5 10
1
/2
5 14 20 26 32 38 44 50 56 62 5
1
/8 10
5
/8
6 13 19 25 31 37 43 49 55 61 5
5
/8 11
7
/8
8 10 16 22 28 34 40 46 52 58 7 14
3
/8
10 9 15 21 27 33 39 45 51 57 7
5
/8 16
12 5 11 17 23 29 35 41 47 53 9
1
/2 18
1
/8
14 3 9 15 21 27 33 39 45 51 10
1
/2 19
1
/4
Size Drop in Elevation “Y” (inches)
2 .17 .21 .25 .29 .34 .38 .42 .46 .50
2
1
/2-14 .08 .10 .13 .15 .17 .19 .21 .23 .25
CR
Ball Joint
Center of
Rotation
(inches)
JL
Ball
Joint
Length
(inches)
TABLE 3
MINIMUM SPREADER PIPE “SP”
BETWEEN ELBOWS for FOUR JOINT
INSTALLATION
TO AVOID JOINT CLASHING
See Figure 3
Pipe
Up to
Pipe Movement “X”
Size
4” 5” 6” 7” 8” 9” 10” 11” 12”
(inches) Spreader Pipe “SP” between Elbows (inches)
2 18 21 24 27 30 30 30 33 36
2
1
/2 18 21 24 27 30 30 30 33 36
3 18 21 24 27 30 30 30 33 36
4 24 24 24 27 30 30 30 33 36
5 24 24 24 27 30 30 30 33 36
6 18 21 24 27 30 30 30 33 36
8 18 21 24 27 30 30 30 33 36
10 18 21 24 27 24 27 30 33 36
12 18 21 24 27 24 27 30 33 36
14 12 15 18 21 24 24 24 27 30
SP