This section collects and defines all the data needed to build the instance models.
Refname DD:minThick
Label Minimum thickness
Symbol h
Units m
Equation h = 1 1000 { 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
Description h is the minimum thickness (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 (mm )
Notes t is a function that maps from the nominal thickness (h ) to the minimum thickness.
Source astm2009
RefBy IM:sdfTol , IM:riskFun , IM:nFL , and IM:dimlessLoad
Refname DD:loadDurFactor
Label Load duration factor
Symbol L D F
Units Unitless
Equation L D F = ( t d 60 ) m 16
Description L D F is the load duration factor (Unitless)t d is the duration of load (s )m is the surface flaw parameter (m 12 N 7 )
Notes
Source astm2009
RefBy IM:sdfTol and IM:riskFun
Refname DD:gTF
Label Glass type factor
Symbol G T F
Units Unitless
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.
Source astm2009
RefBy IM:calofCapacity and IM:dimlessLoad
Refname DD:standOffDist
Label Stand 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}} )
Source astm2009
RefBy DD:calofDemand
Refname DD:aspectRatio
Label Aspect ratio
Symbol \mathit{AR}
Units Unitless
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 ).
Source astm2009
RefBy IM:tolLoad and IM:stressDistFac
Refname DD:eqTNTW
Label Equivalent 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)
Source astm2009
RefBy DD:calofDemand
Refname DD:calofDemand
Label Applied 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 .
Source astm2009
RefBy IM:isSafeLR and IM:dimlessLoad