Metallic Expansion Joints - Thorburn Flex Inc
Metallic Expansion Joints - Thorburn Flex Inc
Metallic Expansion Joints - Thorburn Flex Inc
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THORBURN<br />
FLEXIBLE PIPING SPECIALIST<br />
THORBURN EXPANSION JOINTS IN PIPING SYSTEMS<br />
FIGURE 5<br />
FIGURE 6<br />
TYPICAL FORCES IN PIPING SYSTEMS<br />
FIGURE 7<br />
The following formulas are presented so that the<br />
significant forces created in piping sections<br />
containing <strong>Thorburn</strong> metallic expansion joints can<br />
be calculated and evaluated.<br />
STRAIGHT PIPE SECTIONS (See Fig. 1)<br />
F MA❿ = F P + F EJ + F F<br />
STRAIGHT PIPE SECTION WITH REDUCER (See Fig. 2)<br />
F MA❿<br />
= (F PX<br />
- F PY<br />
) + (F EJX<br />
- F EJY<br />
) + (F FX<br />
- F FY<br />
)<br />
CURVED PIPE SECTION (See Fig. 3)<br />
In the case of anchors located at pipe bends or elbows, it is<br />
necessary to consider the forces imposed by the pipe sections<br />
on both sides of the anchor. These forces must be added<br />
vectorially. In addition, the effect of centrifugal force due to<br />
flow must be considered as follows:<br />
F MA(FLOW) =<br />
2AρV 2<br />
g<br />
sin<br />
FORCES ON INTERMEDIATE PIPE ANCHORS (See Fig. 4)<br />
An intermediate anchor is designed to absorb forces due to<br />
expansion joint deflection and friction only. It is generally<br />
considered good practice to design the immediate anchor to<br />
resist the forces on the larger force side.<br />
F IA = F EJ + F F<br />
LATERAL DEFLECTION (See Fig. 5 and 6)<br />
For lateral deflection requirements it is necessary to consider,<br />
in addition to the other applicable forces, the lateral force and<br />
bending moment imposed on connecting pipe and/or equipment.<br />
ROTATIONAL DEFLECTION (see Fig. 7)<br />
For rotational deflection requirements it is necessary to<br />
consider, in addition to the other applicable forces, the bending<br />
moment imposed on the connecting pipe and/or equipment.<br />
θ<br />
2<br />
DEFINITIONS OF ACRONYMS<br />
F MA = force on main anchor (lbs)<br />
F IA = force on intermediate anchor (lbs)<br />
F P = force due to pressure (lbs)<br />
(bellows effective area x maximum pressure)<br />
F EJ<br />
= force due to expansion joint deflection (lbs)<br />
(axial spring rate x deflection)<br />
F F<br />
= force due to support and guide friction (lbs)<br />
(data available on request)<br />
A = bellows effective area (in 2 )<br />
ρ = density of flowing media (lbs/in 3 )<br />
V = velocity of flowing media (in/sec)<br />
g = acceleration due to gravity (386 in/sec 2 )<br />
θ = angle of pipe curve (degrees)<br />
Note: Deflection forces, bending moments and effective areas<br />
are listed in the <strong>Expansion</strong> Joint Selection Chart (based on<br />
ANSI 321 stainless steel at +650ºF).<br />
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