Pipe Cold Spring (Cut-Short)
Free thermal growth, the cold-spring gap to cut the run short, and residual movement for a pipe sprung into place at install temperature (ASME B31.1 §119).
Formula and source
Free growth dL = alpha * L * dT (alpha per material in/in/F, L in inches, dT = |T_operating - T_install|); cold-spring gap = (factor/100) * dL; residual movement = dL - gap.
Pipe cold spring (cut-short) - the run is cut short by a fraction of the computed free thermal growth and sprung into place at the install temperature, lowering the hot anchor and equipment-nozzle reactions - per ASME B31.1 Power Piping §119 / B31.9 Building Services Piping, by name; first-principles linear expansion.
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