Design Calculators - Mechanical

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Pipe Stress & Flexibility Calculator

This calculator performs preliminary calculations for pipe thermal expansion, thermal stress (if restrained), and pressure stresses. It also provides a simplified estimation for expansion loop sizing to accommodate thermal movement.

Key Inputs:

  • Pipe Material: Select from common materials to auto-populate properties, or custom input.
  • Pipe Outer Diameter (\(D_{OD}\)): The outside diameter of the pipe.
  • Pipe Wall Thickness (\(t\)): The thickness of the pipe wall.
  • Corrosion Allowance (\(C_A\)): An extra thickness for corrosion protection.
  • Operating Temperature (\(T_{op}\)): The temperature of the pipe during operation.
  • Installation Temperature (\(T_{inst}\)): The temperature at which the pipe was installed.
  • Internal Design Pressure (\(P\)): The internal fluid pressure.
  • Length of Pipe Section to be Accommodated (\(L_{section}\)): The straight pipe run length where thermal expansion needs to be absorbed by a loop.
  • Coefficient of Thermal Expansion (\(\alpha\)): Material property for thermal expansion.
  • Young's Modulus (\(E\)): Material stiffness (required for thermal stress).

Calculated Outputs:

  • Temperature Change (\(\Delta T\)): Difference between operating and installation temperatures.
  • Thermal Expansion (\(\Delta L_{thermal}\)): Total change in length due to temperature change.
  • Thermal Stress (\(\sigma_{thermal}\)): Stress if thermal expansion is fully restrained.
  • Effective Wall Thickness (\(t_{eff}\)): Wall thickness after accounting for corrosion.
  • Hoop Stress (\(\sigma_{hoop}\)): Stress in the circumferential direction due to pressure.
  • Longitudinal Stress (\(\sigma_{long}\)): Stress along the pipe axis due to pressure.
  • Recommended Min. Effective Length of Expansion Loop (\(L_{loop}\)): An estimated total effective length of pipe needed in a U-bend to absorb the thermal expansion.

Pipe & Operating Conditions

Material Properties

Calculation Results

Parameter Value