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Internal Pressure Calculations
Because fused quartz is used in applications involving internal pressures, it is helpful to know the maximum pressure that can be applied to a selected fused quartz tube. The formula below can approximate this information at room temperature.

Rupture Formula for Tubing
S = pr/t
Where: S = Hoop Stress in Pa
  P = Working Pressure (Pa)
  r0 = Inside Radius (mm)
  t = Wall Thickness (mm)

This formula cannot be used when internal pressure exceeds 100 psi.

Rupture Pressure Calculatons for Discs and Plates
Because fused quartz is used in applications involving internal pressures, it is helpful to know the maximum pressure that can be applied to a selected fused quartz tube. The formula below can approximate this information at room temperature.
A = Unsupported Area in sq/inches
T = Thickness (inches)
F = Safety Factor (7)
M = Modulus of Rupture (7,000 psi)
P = Pressure (psi)
Discs Plates
3.12 x M(T2) / A x F
3.48 x M(T2) / A x F
  ________
P x A x F / 3.12 x M
  ________
P x A x F / 3.48 x M