White Paper: Presented in partnership by Pumps & Systems and General Rubber - Managing Pipe Stresses and End/Nozzle Loads Utilizing Rubber Expansion Joints
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This extreme approach is both impractical and problematic because it does not adequately take into consideration the fundamentals of thermal growth and contraction of the piping system, ground settlement, vibration, realistic piping misalignment and other common external forces and displacements imposed on the piping system. This approach also hinders the efforts of owners and pipe stress engineers who desire piping systems with a smaller footprint, lower construction cost, improved energy efficiency, modular construction and less support structure. Systems designed without rubber expansion joints also lack the common benefits of absorbing all directional movements including ground settlement, reducing noise and vibration, having a cycle life in the tens of millions, compensating for typical misalignments of 0.185”, providing access to piping and equipment, as well as having superior corrosion and abrasion resistance. An optimal approach requires understanding the imposing pressure thrust forces from some expansion joint arrangements, and when needed, incorporating more advanced rubber expansion joint arrangements that can facilitate both system flexibility and restraint.
More advanced rubber expansion joint arrangements should not be confused with simply adding control units (see Illustration 1 in the PDF) to an unrestrained rubber expansion joint. This is because setting control units with gaps, limit rods, still imposes 100% of the pressure thrust force on the system and setting them without gaps, tie rods, will lack axial flexibility. Tie rods are an effective means of restraining the full pressure thrust force and obtaining all common rubber expansion joint benefits excluding axial flexibility.
As a helpful exercise, owners and pipe stress engineer may look at several alternative solutions for the same application and compare the different end load results. Alternative solutions can include incorporating rigid pipe loops, traditional unrestrained rubber expansion joints, and/or more advanced rubber expansion joint arrangements. Illustration 2 shows four solutions to an example application of a 36” diameter carbon steel pipe with a 100’ axial run under 90 psi with temperature fluctuation of 100°F. Each solution will restrain the pressure thrust forces, absorb the axial thermal movement of 0.8” and keep the piping system within allowable stresses. However, each solution will have very different end loads. For simplicity, load factors common to all solutions, such as pipe and fluid weight, are ignored, as well as, the fact that actual stress engineers will likely utilize FEA software including AutoPIPE or CAESAR II.
Solution 1 incorporates an unrestrained expansion joint (Illustration 3). installed between two main anchors with numerous guides at specific spacing. This is a good solution when there are no load limitations on the equipment and/or support structure. The common benefits of incorporating rubber expansion joints are also obtained. The consequence of an unrestrained expansion joint being installed axially in-line results in the pipe no longer being able to carry the pressure thrust force in tension and so the pressure thrust force must now be transmitted as a compressive load onto the systems ends, thus requiring main anchors. The end load can be calculated as the sum of the pressure thrust force, the spring rate load of the rubber expansion joint and some minor friction loads from the pipe guides. The end load for Solution 1 extends to approximately 92,900 lbf. This illustrates why many equipment manufacturers would not want their equipment to be treated as a main anchor and forced to carry such a heavy load.
Solution 2 incorporates a rigid piping loop installed between two intermediate anchors with a limited number of guides. This is a good solution when there are no space restrictions or a need to reduce material or energy costs, as well as, a need for the common benefits gained from incorporating rubber expansion joints. The carbon steel pipe will carry the full pressure thrust force in tension and does not transfer that load on to the systems ends. The end load can be calculated as the sum of the load deflection values from the solid pipe loop using the Kellogg method and some minor friction loads from the pipe guides. The end load for Solution 2 extends to approximately 105,000 lbf, a force greater than that of the pressure thrust force in the example application. Equip-ment manufacturers should be just as concerned with this heavy load as they are to eliminate pressure thrust forces.
Solution 3 incorporates an in-line pressure balanced rubber expansion joint installed between two intermediate anchors with a limited number of guides. This is the only effective solution for directly absorbing large axial thermal movements while continually self-restraining the pressure thrust forces. This advanced rubber expansion joint arrangement consists of tie devices interconnecting its main joint section to its opposing balancing joint section (Illustration 4). This is an optimal solution when there are load limitations on the equipment and/or support structure and there is a high value placed on reducing the system footprint, as well as, saving material and energy costs. The common benefits of incorporating rubber expansion joints are also obtained. The end loads can be calculated as the sum of the spring rate load of the expansion joint and some minor friction loads from the pipe guides. The end load for Solution 3 extends to approximately 4,500 lbf; a very manageable load.
Solution 4 incorporates a flexible pipe loop installed between two intermediate anchors with a limited number of guides. This advanced rubber expansion joint arrangement consists of two universal tied joints for maximum lateral movement capability, interconnected in a compact pipe loop (Illustration 5). This is a very effective way to absorb large axial thermal movements from the longer adjacent pipe runs. It is also an optimum solution when there are load limitations on the equipment and/or support structure and there is some value placed on reducing the system footprint, as well as, saving material and energy costs. The common benefits of incorporating rubber expansion joints are also obtained. The end load can be calculated as the sum of the lateral spring rate loads of the two expansion joints and some minor friction loads from the pipe guides. The end load for Solution 4 extends to approximately 2,200 lbf., an extremely low and very manageable load.
The fundamental principle that all piping systems require support and some degree of flexibility is just as valid today as it has ever been. However, When concerned about the load carrying capabilities of key equipment and/or support structures, an optimal solution is neither to increase rigidity into the piping system or ignore the imposing pressure thrust forces as an effect of some expansion joint arrangements; but rather to incorporate more advanced rubber expansion joint arrangements that can facilitate both system flexibility and restraint when needed. This approach is also very much in line with owners and stress engineers who desire piping systems with smaller footprints, lower construction costs, improved energy efficiency, modular construction and less structural support. For more information on this subject, please contact General Rubber direct by phone at 800-233-6294, via e-mail at email@example.com, or by visiting their web site at general-rubber.com.
Author Lloyd B Aanonsen, P.E. is President of General Rubber Corporation, and has over thirty years of experience in the development and application of rubber expansion joints. He has a B.S. in Mechanical Engineering, an MBA and has authored numerous articles on the design and application of performance expansion joints, as well as, conducted presentations at the Pump User Group and Fluid Leak Management User Group. He currently sits on the board of the Fluid Sealing Association and is an active member of the Hydraulic Institute. In addition, he contributes to the Electric Power Research Institute, where he serves on a technical advisory group for rubber expansion joints.