Theoretical Models

This section focuses on the general equations and laws that GlassBR is based on.

RefnameTM:isSafeProb
LabelSafety Probability
Equation\[\mathit{isSafeProb}={P_{\text{f}}}\lt{}{P_{\text{f}\text{tol}}}\]
Description
  • \(\mathit{isSafeProb}\) is the probability of failure safety requirement (Unitless)
  • \({P_{\text{f}}}\) is the probability of failure (Unitless)
  • \({P_{\text{f}\text{tol}}}\) is the tolerable probability of failure (Unitless)
Notes
  • If \(\mathit{isSafeProb}\), the structure is considered safe.
Sourceastm2009
RefBy
RefnameTM:isSafeLoad
LabelSafety Load
Equation\[\mathit{isSafeLoad}=\mathit{capacity}\gt{}\mathit{Load}\]
Description
  • \(\mathit{isSafeLoad}\) is the load resistance safety requirement (Unitless)
  • \(\mathit{capacity}\) is the capacity or load resistance (\({\text{Pa}}\))
  • \(\mathit{Load}\) is the applied load (demand) or pressure (\({\text{Pa}}\))
Notes
  • If \(\mathit{isSafeLoad}\), the structure is considered safe.
Sourceastm2009
RefBy