Data Definitions

This section collects and defines all the data needed to build the instance models.

RefnameDD:minThick
LabelMinimum thickness
Symbol\(h\)
Units\({\text{m}}\)
Equation\[h=\frac{1}{1000}\,\begin{cases}2.16, & t=2.5\\2.59, & t=2.7\\2.92, & t=3.0\\3.78, & t=4.0\\4.57, & t=5.0\\5.56, & t=6.0\\7.42, & t=8.0\\9.02, & t=10.0\\11.91, & t=12.0\\15.09, & t=16.0\\18.26, & t=19.0\\21.44, & t=22.0\end{cases}\]
Description
  • \(h\) is the minimum thickness (\({\text{m}}\))
  • \(t\) is the nominal thickness t is in \({2.5,2.7,3.0,4.0,5.0,6.0,8.0,10.0,12.0,16.0,19.0,22.0}\) (\({\text{mm}}\))
Notes
  • \(t\) is a function that maps from the nominal thickness (\(h\)) to the minimum thickness.
Sourceastm2009
RefByIM:sdfTol, IM:riskFun, IM:nFL, and IM:dimlessLoad
RefnameDD:loadDurFactor
LabelLoad duration factor
Symbol\(\mathit{LDF}\)
UnitsUnitless
Equation\[\mathit{LDF}=\left(\frac{{t_{\text{d}}}}{60}\right)^{\frac{m}{16}}\]
Description
  • \(\mathit{LDF}\) is the load duration factor (Unitless)
  • \({t_{\text{d}}}\) is the duration of load (\({\text{s}}\))
  • \(m\) is the surface flaw parameter (\(\frac{\text{m}^{12}}{\text{N}^{7}}\))
Notes
Sourceastm2009
RefByIM:sdfTol and IM:riskFun
RefnameDD:gTF
LabelGlass type factor
Symbol\(\mathit{GTF}\)
UnitsUnitless
Equation\[\mathit{GTF}=\begin{cases}1, & g=\text{\(``\)AN’‘}\\4, & g=\text{\(``\)FT’‘}\\2, & g=\text{\(``\)HS’’}\end{cases}\]
Description
  • \(\mathit{GTF}\) is the glass type factor (Unitless)
  • \(g\) is the glass type (Unitless)
Notes
  • AN is annealed glass.
  • FT is fully tempered glass.
  • HS is heat strengthened glass.
Sourceastm2009
RefByIM:calofCapacity and IM:dimlessLoad
RefnameDD:standOffDist
LabelStand off distance
Symbol\(\mathit{SD}\)
Units\({\text{m}}\)
Equation\[\mathit{SD}=\sqrt{{\mathit{SD}_{\text{x}}}^{2}+{\mathit{SD}_{\text{y}}}^{2}+{\mathit{SD}_{\text{z}}}^{2}}\]
Description
  • \(\mathit{SD}\) is the stand off distance (\({\text{m}}\))
  • \({\mathit{SD}_{\text{x}}}\) is the stand off distance (\(x\)-component) (\({\text{m}}\))
  • \({\mathit{SD}_{\text{y}}}\) is the stand off distance (\(y\)-component) (\({\text{m}}\))
  • \({\mathit{SD}_{\text{z}}}\) is the stand off distance (\(z\)-component) (\({\text{m}}\))
Sourceastm2009
RefByDD:calofDemand
RefnameDD:aspectRatio
LabelAspect ratio
Symbol\(\mathit{AR}\)
UnitsUnitless
Equation\[\mathit{AR}=\frac{a}{b}\]
Description
  • \(\mathit{AR}\) is the aspect ratio (Unitless)
  • \(a\) is the plate length (long dimension) (\({\text{m}}\))
  • \(b\) is the plate width (short dimension) (\({\text{m}}\))
Notes
  • \(a\) and \(b\) are the dimensions of the plate, where (\(a\geq{}b\)).
Sourceastm2009
RefByIM:tolLoad and IM:stressDistFac
RefnameDD:eqTNTW
LabelEquivalent TNT charge mass
Symbol\({w_{\mathit{TNT}}}\)
Units\({\text{kg}}\)
Equation\[{w_{\mathit{TNT}}}=w\,\mathit{TNT}\]
Description
  • \({w_{\mathit{TNT}}}\) is the equivalent TNT charge mass (\({\text{kg}}\))
  • \(w\) is the charge weight (\({\text{kg}}\))
  • \(\mathit{TNT}\) is the TNT equivalent factor (Unitless)
Sourceastm2009
RefByDD:calofDemand
RefnameDD:calofDemand
LabelApplied load (demand)
Symbol\(q\)
Units\({\text{Pa}}\)
Equation\[q=\mathit{interpY}\left(\text{\(``\)TSD.txt’’},\mathit{SD},{w_{\mathit{TNT}}}\right)\]
Description
  • \(q\) is the applied load (demand) (\({\text{Pa}}\))
  • \(\mathit{interpY}\) is the interpY (Unitless)
  • \(\mathit{SD}\) is the stand off distance (\({\text{m}}\))
  • \({w_{\mathit{TNT}}}\) is the equivalent TNT charge mass (\({\text{kg}}\))
Notes
  • \(q\), or applied load (demand), is the 3 second duration equivalent pressure obtained from Fig:demandVSsod by interpolation using stand off distance (\(\mathit{SD}\)) and \({w_{\mathit{TNT}}}\) as parameters. \({w_{\mathit{TNT}}}\) is defined in DD:eqTNTW. \(\mathit{SD}\) is the stand off distance as defined in DD:standOffDist.
Sourceastm2009
RefByIM:isSafeLR and IM:dimlessLoad