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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 />

Page 17

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