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[null,null,null,null,null,null,"This software is offered as is, without warranty or promise of support of any kind either expressed or implied. Under no circumstance will the National Academy of Sciences or the Transportation Research Board (collectively “TRB”) be liable for any loss or damage caused by the installation or operation of this product. TRB makes no representation or warranty of any kind, expressed or implied, in fact or in law, including without limitation, the warranty of merchantability or the warranty of fitness for a particular purpose, and shall not in any case be liable for any consequential or special damages."]

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[]
[null,"ROADSIDE HARDWARE REPLACEMENT ASSESSMENT WORKSHEET ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"-O36","v":0}]
[null,"Intructions:",null,null,"Enter information on the project or policy being considered in the yellow shaded cells.  Values in grey shaded cells are default values but can be changed if desired.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,{"$f":"$O$38","v":0}]
[null,"Project Name:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA3+1","v":2},0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA4+1","v":3},0]
[null,"Risk Assessment of Existing Hardware",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,0]
[null,"Using state or district wide police reported crash data determine the number of fatal and serious injury crashes that occurred involving the existing hardware.  If an in-service evaluation of the hardware is avaiable use the crash severity performance from that source.  Use as many years of crash data as are available and enter the appropriate values in the yellow shaded cells.  Three columns are provided to account for associated roadside hardware.  For example, replacing a guardrail may also require replacing the associated terminals, anchors and transitions associated with that guardrail.  Place information for each type of hardware in one of the three columns.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,0]
[null,null,null,null,null,null,null,null,null,null,null,"Symbol",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,0]
[null,null,1,"Enter the number of years of crash data:",null,null,null,null,null,null,null,"YCD",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,0]
[null,null,2,"Enter the total number of crashes with the existing hardware:",null,null,null,null,null,null,null,"NCj",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,0]
[null,null,3,"Enter the number of fatal and serious injury crashes with the existing hardware:",null,null,null,null,null,null,null,"NFSCj",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,0]
[null,null,4,"Enter the desired cofidence interval (e.g., 85th  percentile):",null,null,null,null,null,null,null,"CL",null,null,0.85,null,null,null,null,0.85,null,null,null,null,0.85,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"-_xlfn.NORM.INV((1-O13)/2,0,1)","v":1.4395314709384572},null,null,null,null,{"$f":"-_xlfn.NORM.INV((1-T13)/2,0,1)","v":1.4395314709384572},null,null,null,null,{"$f":"-_xlfn.NORM.INV((1-Y13)/2,0,1)","v":1.4395314709384572},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,0]
[null,null,5,{"$f":"\"Calculate the mean risk of fatal or serious injury with the existing hardware with \"&100*O13&\"th percentile confidence:\"","v":"Calculate the mean risk of fatal or serious injury with the existing hardware with 85th percentile confidence:"},null,null,null,null,null,null,null,"REHJ",{"$f":"IFERROR(   ((    (O15+((O14^2)/(2*O$11))  /(1+(O14^2)/O$11))   -   (O14*SQRT(     ((O15*(1-O15)/O11)  +((O14^2)/(4*O$11^2)))/(1+((O14^2)/O$11)))    ) )),\"\")","v":""},"<",{"$f":"IF(AND(O12<>\"\",O11<>\"\"),O12/O11,\"\")","v":""},"<",{"$f":"IFERROR(   ((    (O15+((O14^2)/(2*O$11))  /(1+(O14^2)/O$11))   +   (O14*SQRT(     ((O15*(1-O15)/O11)  +((O14^2)/(4*O$11^2)))/(1+((O14^2)/O$11)))    ) )),\"\")","v":""},{"$f":"IFERROR(   ((    (T15+((T14^2)/(2*T$11))  /(1+(T14^2)/T$11))   -   (T14*SQRT(     ((T15*(1-T15)/T11)  +((T14^2)/(4*T$11^2)))/(1+((T14^2)/T$11)))    ) )),\"\")","v":""},"<",{"$f":"IF(AND(T12<>\"\",T11<>\"\"),T12/T11,\"\")","v":""},"<",{"$f":"IFERROR(   ((    (T15+((T14^2)/(2*T$11))  /(1+(T14^2)/T$11))   +   (T14*SQRT(     ((T15*(1-T15)/T11)  +((T14^2)/(4*T$11^2)))/(1+((T14^2)/T$11)))    ) )),\"\")","v":""},{"$f":"IFERROR(   ((    (Y15+((Y14^2)/(2*Y$11))  /(1+(Y14^2)/Y$11))   -   (Y14*SQRT(     ((Y15*(1-Y15)/Y11)  +((Y14^2)/(4*Y$11^2)))/(1+((Y14^2)/Y$11)))    ) )),\"\")","v":""},"<",{"$f":"IF(AND(Y12<>\"\",Y11<>\"\"),Y12/Y11,\"\")","v":""},"<",{"$f":"IFERROR(   ((    (Y15+((Y14^2)/(2*Y$11))  /(1+(Y14^2)/Y$11))   +   (Y14*SQRT(     ((Y15*(1-Y15)/Y11)  +((Y14^2)/(4*Y$11^2)))/(1+((Y14^2)/Y$11)))    ) )),\"\")","v":""},{"$f":"IFERROR(AD15-_xlfn.NORM.INV(AD13,0,1)*SQRT(AD15*(1-AD15)/AD11),\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,0]
[null,null,6,"Enter the quantity of existing hardware in crash reporting area:",null,null,null,null,null,null,null,"QEHJ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,0]
[null,null,7,"Enter the existing hardware exposure during the data collection period (i.e., million vehicle miles passing [MVMP] for guardrails and million vehicles passing for terminals [MVP]).",null,null,null,null,null,null,null,"EEHJ",null,null,null,{"$f":"IF(P16=\"ft\",\"MVMP\",IF(P16=\"ea\",\"MVP\",\"\"))","v":""},null,null,null,null,{"$f":"IF(U16=\"ft\",\"MVMP\",IF(U16=\"ea\",\"MVP\",\"\"))","v":""},null,null,null,null,{"$f":"IF(Z16=\"ft\",\"MVMP\",IF(Z16=\"ea\",\"MVP\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,0]
[null,null,8,"Calculate the total police reported crash rate.",null,null,null,null,null,null,null,"CREHJ",null,null,{"$f":"IFERROR(IF(P16=\"ft\",(O11/O17),(O11/O17)),\"\")","v":""},{"$f":"IF(P16=\"ft\",\"crashes/MVMP\",IF(P16=\"ea\",\"crashes/MVP\",\"\"))","v":""},null,null,null,{"$f":"IFERROR(IF(U16=\"ft\",(T11/T17),(T11/T17)),\"\")","v":""},{"$f":"IF(U16=\"ft\",\"crashes/MVMP\",IF(U16=\"ea\",\"crashes/MVP\",\"\"))","v":""},null,null,null,{"$f":"IFERROR(IF(Z16=\"ft\",(Y11/Y17),(Y11/Y17)),\"\")","v":""},{"$f":"IF(Z16=\"ft\",\"crashes/MVMP\",IF(Z16=\"ea\",\"crashes/MVP\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,0]
[null,"Relative Risk Estimate for Replacement Hardware",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,0]
[null,"Estimate the smallest likely risk of a fatal or serious injury with the replacement hardware.  Generally, crash data or an in-service evaluation will not be available to determine this value so it must be estimated using engineering judgement.  It should be less than the observed value for the existing hardware and must be greater than zero.  Enter the estimates for each type of replacement hardware below:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20,0]
[null,null,9,"Estimate of risk of fatal or serious injury given a crash with the replacement hardware:",null,null,null,null,null,null,null,"RRHJ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,0]
[null,null,10,{"$f":"\"Are the existing and replacement crash risk outside the \"&RIGHT(O13,2)&\"th confidence interval?\"","v":"Are the existing and replacement crash risk outside the 85th confidence interval?"},null,null,null,null,null,null,null,null,null,null,{"$f":"IF(O15=\"\",\"\",IF(OR(O23<M15,O23>Q15), \"Yes\", \"No\"))","v":""},null,null,null,null,{"$f":"IF(T15=\"\",\"\",IF(OR(T23<R15,T23>V15), \"Yes\", \"No\"))","v":""},null,null,null,null,{"$f":"IF(Y15=\"\",\"\",IF(OR(Y23<W15,Y23>AA15), \"Yes\", \"No\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,0]
[null,null,11,"Calculate relative risk reduction of replacement hardware compared to existing hardware:",null,null,null,null,null,null,null,"RRRJ",null,null,{"$f":"IFERROR(IF(AND(O15>0,O23>0),(O15-O23)/O15,\"\"),\"\")","v":""},null,null,null,null,{"$f":"IFERROR(IF(AND(T15>0,T23>0),(T15-T23)/T15,\"\"),\"\")","v":""},null,null,null,null,{"$f":"IFERROR(IF(AND(Y15>0,Y23>0),(Y15-Y23)/Y15,\"\"),\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23,0]
[null,"Project Details",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24,0]
[null,"Enter information about the proposed project.  Use the project information along with the values determined in the previous sections to estimate the number of fatal and serious injury crashes avoided by replacing the existing hardware with upgraded hardware.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,0]
[null,null,12,"Enter the design year AADT of the project:",null,null,null,null,null,null,null,"AADT",null,null,null,"veh/day",null,null,null,{"$f":"O28","v":0},"veh/day",null,null,null,{"$f":"O28","v":0},"veh/day",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,0]
[null,null,{"$f":"C28+1","v":13},"Enter the amount of hardware installed on project:",null,null,null,null,null,null,null,"QEHJ",null,null,null,{"$f":"P16","v":0},null,null,null,null,{"$f":"U16","v":0},null,null,null,null,{"$f":"Z16","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27,0]
[null,null,{"$f":"C29+1","v":14},"Enter the unit installed cost of the replacement hardware:",null,null,null,null,null,null,null,"UCIHJ",null,null,null,{"$f":"IF(P$29=\" \",\"\",\"$/\"&P$29)","v":"$/0"},null,null,null,null,{"$f":"IF(U$29=\" \",\"\",\"$/\"&U$29)","v":"$/0"},null,null,null,null,{"$f":"IF(U$29=\" \",\"\",\"$/\"&U$29)","v":"$/0"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,0]
[null,null,15,"Enter the unit cost to remove existing hardware:",null,null,null,null,null,null,null,"UCRHJ",null,null,null,{"$f":"IF(P$29=\" \",\"\",\"$/\"&P$29)","v":"$/0"},null,null,null,null,{"$f":"IF(U$29=\" \",\"\",\"$/\"&U$29)","v":"$/0"},null,null,null,null,{"$f":"IF(U$29=\" \",\"\",\"$/\"&U$29)","v":"$/0"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,0]
[null,null,16,"Calculate the total cost of installing the replacement hardware:",null,null,null,null,null,null,null,"CRHJ",null,null,{"$f":"O29*(O30+O31)","v":0},"$",null,null,null,{"$f":"T29*(T30+T31)","v":0},"$",null,null,null,{"$f":"Y29*(Y30+Y31)","v":0},"$",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30,0]
[null,null,{"$f":"C32+1","v":17},"Estimate the number of annual fatal and serious injury crashes avoided:",null,null,null,null,null,null,null,"FCSAJ",null,null,{"$f":"IFERROR(IF(P17=\"MVMP\",(O18*O28*365*O29/(10^6*5280))*O15*O25,(O18*O28*365*O29/10^6)*O15*O25),\"\")","v":""},"crashes/yr",null,null,null,{"$f":"IFERROR(IF(U17=\"MVMP\",(T18*T28*365*T29/(10^6*5280))*T15*T25,(T18*T28*365*T29/10^6)*T15*T25),\"\")","v":""},"crashes/yr",null,null,null,{"$f":"IFERROR(IF(Z17=\"MVMP\",(Y18*Y28*365*Y29/(10^6*5280))*Y15*Y25,(Y18*Y28*365*Y29/10^6)*Y15*Y25),\"\")","v":""},"crashes/yr",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA32+1","v":31},0]
[null,"Economic Analysis",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA33+1","v":32},0]
[null,"The expected number of fatal and serious injury crashes avoided calculated in the previous step are summed and assigned an economic value based on the FHWA's value of statistical life (VSL) recommendation.   The internal rate of return where the sum of all the benefits in future  years equals the construction investment in the design years is calculated.  Generally, if the internal rate of return is less than 2% it is not the best use of funds.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,33,0]
[null,null,18,"Calculate the total cost of the hardware replacement:",null,null,null,null,null,null,null,"TCRH",null,null,{"$f":"O32+T32+Y32","v":0},"$",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA35+1","v":34},0]
[null,null,{"$f":"C36+1","v":19},"Enter the value of statistical life (VLS) or  use the default value of $12.3 million:",null,null,null,null,null,null,null,"VSL",null,null,12300000,"$",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,0]
[null,null,20,"Calculate the annual societal benefit of the replacement:",null,null,null,null,null,null,null,"ABCA",null,null,{"$f":"IFERROR(O37*SUM(O33,T33,Y33),\"\")","v":0},"$/yr",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,0]
[null,null,21,"Calculate the number of years to recoup investment at zero percent rate of return:",null,null,null,null,null,null,null,null,null,null,{"$f":"O36/O38","v":{"$error":"#DIV/0!"}},"yrs",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,37,0]
[null,null,21,"Enter the assumed service life or retain the assumed 25 year life.",null,null,null,null,null,null,null,"YL",null,null,25,"yrs",null,null,null,null,null,null,null,null,null,null,"Type CTRL+SHIFT+R",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38,0]
[null,null,22,{"$f":"\"Calculate the internal rate of return assuming a \"&O40&\" year design life.\"","v":"Calculate the internal rate of return assuming a 25 year design life."},null,null,null,null,null,null,null,"IIR",null,null,{"$f":"IFERROR(IRR(INDIRECT(\"R2C54:R\" & $O$40+2 & \"C54\",FALSE))*100,\"\")","v":""},"%",null,null,null,null,null,null,null,null,null,null,"to Clear and Reset Form",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39,0]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,40,0]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,327,0]

{"sheet":"Example","index":2,"n_rows":329,"n_cols":54,"rows_kept":329,"cut":false,"hidden":false,"merged":[[1,1,1,24],[34,1,34,24],[26,1,26,24],[3,4,3,25],[6,1,6,24],[20,1,20,24],[16,3,16,10],[14,3,14,9],[11,3,11,10]]}
[]
[null,"ROADSIDE HARDWARE REPLACEMENT ASSESSMENT WORKSHEET ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"-O36","v":-80525}]
[null,"Intructions:",null,null,"Enter information on the project or policy being considered in the yellow shaded cells.  Values in grey shaded cells are default values but can be changed if desired.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1,{"$f":"$O$38","v":2625.7899478093773}]
[null,"Project Name:",null,null,"Replace 27-inch PennDOT Type D guardrail and R350 Type E  terminals with 31-inch MGS guardrail and MASH 2016 terminals",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA3+1","v":2},2625.7899478093773]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA4+1","v":3},2625.7899478093773]
[null,"Risk Assessment of Existing Hardware",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,2625.7899478093773]
[null,"Using state or district wide police reported crash data determine the number of fatal and serious injury crashes that occurred involving the existing hardware.  If an in-service evaluation of the hardware is avaiable use the crash severity performance from that source.  Use as many years of crash data as are available and enter the appropriate values in the yellow shaded cells.  Three columns are provided to account for associated roadside hardware.  For example, replacing a guardrail may also require replacing the associated terminals, anchors and transitions associated with that guardrail.  Place information for each type of hardware in one of the three columns.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,2625.7899478093773]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6,2625.7899478093773]
[null,null,null,null,null,null,null,null,null,null,null,"Symbol",null,null,"27\" Type D GR",null,null,null,null,"R350 Type E",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7,2625.7899478093773]
[null,null,1,"Enter the number of years of crash data:",null,null,null,null,null,null,null,"YCD",null,null,6,null,null,null,null,11,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8,2625.7899478093773]
[null,null,2,"Enter the total number of crashes with the existing hardware:",null,null,null,null,null,null,null,"NCj",null,null,2400,null,null,null,null,286,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9,2625.7899478093773]
[null,null,3,"Enter the number of fatal and serious injury crashes with the existing hardware:",null,null,null,null,null,null,null,"NFSCj",null,null,17,null,null,null,null,8,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10,2625.7899478093773]
[null,null,4,"Enter the desired cofidence interval (e.g., 85th  percentile):",null,null,null,null,null,null,null,"CL",null,null,0.85,null,null,null,null,0.85,null,null,null,null,0.85,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,2625.7899478093773]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"-_xlfn.NORM.INV((1-O13)/2,0,1)","v":1.4395314709384572},null,null,null,null,{"$f":"-_xlfn.NORM.INV((1-T13)/2,0,1)","v":1.4395314709384572},null,null,null,null,{"$f":"-_xlfn.NORM.INV((1-Y13)/2,0,1)","v":1.4395314709384572},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12,2625.7899478093773]
[null,null,5,{"$f":"\"Calculate the mean risk of fatal or serious injury with the existing hardware with \"&100*O13&\"th percentile confidence:\"","v":"Calculate the mean risk of fatal or serious injury with the existing hardware with 85th percentile confidence:"},null,null,null,null,null,null,null,"REHJ",{"$f":"IFERROR(   ((    (O15+((O14^2)/(2*O$11))  /(1+(O14^2)/O$11))   -   (O14*SQRT(     ((O15*(1-O15)/O11)  +((O14^2)/(4*O$11^2)))/(1+((O14^2)/O$11)))    ) )),\"\")","v":5.0139443436456755E-3},"<",{"$f":"IF(AND(O12<>\"\",O11<>\"\"),O12/O11,\"\")","v":7.083333333333333E-3},"<",{"$f":"IFERROR(   ((    (O15+((O14^2)/(2*O$11))  /(1+(O14^2)/O$11))   +   (O14*SQRT(     ((O15*(1-O15)/O11)  +((O14^2)/(4*O$11^2)))/(1+((O14^2)/O$11)))    ) )),\"\")","v":1.0015415297840514E-2},{"$f":"IFERROR(   ((    (T15+((T14^2)/(2*T$11))  /(1+(T14^2)/T$11))   -   (T14*SQRT(     ((T15*(1-T15)/T11)  +((T14^2)/(4*T$11^2)))/(1+((T14^2)/T$11)))    ) )),\"\")","v":1.7125133575327897E-2},"<",{"$f":"IF(AND(T12<>\"\",T11<>\"\"),T12/T11,\"\")","v":2.7972027972027972E-2},"<",{"$f":"IFERROR(   ((    (T15+((T14^2)/(2*T$11))  /(1+(T14^2)/T$11))   +   (T14*SQRT(     ((T15*(1-T15)/T11)  +((T14^2)/(4*T$11^2)))/(1+((T14^2)/T$11)))    ) )),\"\")","v":4.6012433196882696E-2},{"$f":"IFERROR(   ((    (Y15+((Y14^2)/(2*Y$11))  /(1+(Y14^2)/Y$11))   -   (Y14*SQRT(     ((Y15*(1-Y15)/Y11)  +((Y14^2)/(4*Y$11^2)))/(1+((Y14^2)/Y$11)))    ) )),\"\")","v":""},"<",{"$f":"IF(AND(Y12<>\"\",Y11<>\"\"),Y12/Y11,\"\")","v":""},"<",{"$f":"IFERROR(   ((    (Y15+((Y14^2)/(2*Y$11))  /(1+(Y14^2)/Y$11))   +   (Y14*SQRT(     ((Y15*(1-Y15)/Y11)  +((Y14^2)/(4*Y$11^2)))/(1+((Y14^2)/Y$11)))    ) )),\"\")","v":""},{"$f":"IFERROR(AD15-_xlfn.NORM.INV(AD13,0,1)*SQRT(AD15*(1-AD15)/AD11),\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13,2625.7899478093773]
[null,null,6,"Enter the quantity of existing hardware in crash reporting area:",null,null,null,null,null,null,null,"QEHJ",null,null,35286240,"ft",null,null,null,19724,"ea",null,null,null,null," ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14,2625.7899478093773]
[null,null,7,"Enter the existing hardware exposure during the data collection period (i.e., million vehicle miles passing [MVMP] for guardrails and million vehicles passing for terminals [MVP]).",null,null,null,null,null,null,null,"EEHJ",null,null,33077,{"$f":"IF(P16=\"ft\",\"MVMP\",IF(P16=\"ea\",\"MVP\",\"\"))","v":"MVMP"},null,null,null,200592,{"$f":"IF(U16=\"ft\",\"MVMP\",IF(U16=\"ea\",\"MVP\",\"\"))","v":"MVP"},null,null,null,null,{"$f":"IF(Z16=\"ft\",\"MVMP\",IF(Z16=\"ea\",\"MVP\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,15,2625.7899478093773]
[null,null,8,"Calculate the total police reported crash rate.",null,null,null,null,null,null,null,"CREHJ",null,null,{"$f":"IFERROR(IF(P16=\"ft\",(O11/O17),(O11/O17)),\"\")","v":7.255797079541676E-2},{"$f":"IF(P16=\"ft\",\"crashes/MVMP\",IF(P16=\"ea\",\"crashes/MVP\",\"\"))","v":"crashes/MVMP"},null,null,null,{"$f":"IFERROR(IF(U16=\"ft\",(T11/T17),(T11/T17)),\"\")","v":1.4257796921113505E-3},{"$f":"IF(U16=\"ft\",\"crashes/MVMP\",IF(U16=\"ea\",\"crashes/MVP\",\"\"))","v":"crashes/MVP"},null,null,null,{"$f":"IFERROR(IF(Z16=\"ft\",(Y11/Y17),(Y11/Y17)),\"\")","v":""},{"$f":"IF(Z16=\"ft\",\"crashes/MVMP\",IF(Z16=\"ea\",\"crashes/MVP\",\"\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,16,2625.7899478093773]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,17,2625.7899478093773]
[null,"Relative Risk Estimate for Replacement Hardware",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,18,2625.7899478093773]
[null,"Estimate the smallest likely risk of a fatal or serious injury with the replacement hardware.  Generally, crash data or an in-service evaluation will not be available to determine this value so it must be estimated using engineering judgement.  It should be less than the observed value for the existing hardware and must be greater than zero.  Enter the estimates for each type of replacement hardware below:",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,19,2625.7899478093773]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"31\" MGS GR",null,null,null,null,"MASH Terminal",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,20,2625.7899478093773]
[null,null,9,"Estimate of risk of fatal or serious injury given a crash with the replacement hardware:",null,null,null,null,null,null,null,"RRHJ",null,null,5.3E-3,null,null,null,null,1.3950000000000001E-2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,21,2625.7899478093773]
[null,null,10,{"$f":"\"Are the existing and replacement crash risk outside the \"&RIGHT(O13,2)&\"th confidence interval?\"","v":"Are the existing and replacement crash risk outside the 85th confidence interval?"},null,null,null,null,null,null,null,null,null,null,{"$f":"IF(O15=\"\",\"\",IF(OR(O23<M15,O23>Q15), \"Yes\", \"No\"))","v":"No"},null,null,null,null,{"$f":"IF(T15=\"\",\"\",IF(OR(T23<R15,T23>V15), \"Yes\", \"No\"))","v":"Yes"},null,null,null,null,{"$f":"IF(Y15=\"\",\"\",IF(OR(Y23<W15,Y23>AA15), \"Yes\", \"No\"))","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,22,2625.7899478093773]
[null,null,11,"Calculate relative risk reduction of replacement hardware compared to existing hardware:",null,null,null,null,null,null,null,"RRRJ",null,null,{"$f":"IFERROR(IF(AND(O15>0,O23>0),(O15-O23)/O15,\"\"),\"\")","v":0.25176470588235289},null,null,null,null,{"$f":"IFERROR(IF(AND(T15>0,T23>0),(T15-T23)/T15,\"\"),\"\")","v":0.5012875},null,null,null,null,{"$f":"IFERROR(IF(AND(Y15>0,Y23>0),(Y15-Y23)/Y15,\"\"),\"\")","v":""},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,23,2625.7899478093773]
[null,"Project Details",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,24,2625.7899478093773]
[null,"Enter information about the proposed project.  Use the project information along with the values determined in the previous sections to estimate the number of fatal and serious injury crashes avoided by replacing the existing hardware with upgraded hardware.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,2625.7899478093773]
[null,null,12,"Enter the design year AADT of the project:",null,null,null,null,null,null,null,"AADT",null,null,1450,"veh/day",null,null,null,{"$f":"O28","v":1450},"veh/day",null,null,null,{"$f":"O28","v":1450},"veh/day",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,26,2625.7899478093773]
[null,null,{"$f":"C28+1","v":13},"Enter the amount of hardware installed on project:",null,null,null,null,null,null,null,"QEHJ",null,null,1775,{"$f":"P16","v":"ft"},null,null,null,18,{"$f":"U16","v":"ea"},null,null,null,null,{"$f":"Z16","v":" "},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,27,2625.7899478093773]
[null,null,{"$f":"C29+1","v":14},"Enter the unit installed cost of the replacement hardware:",null,null,null,null,null,null,null,"UCIHJ",null,null,17,{"$f":"IF(P$29=\" \",\"\",\"$/\"&P$29)","v":"$/ft"},null,null,null,2000,{"$f":"IF(U$29=\" \",\"\",\"$/\"&U$29)","v":"$/ea"},null,null,null,null,{"$f":"IF(U$29=\" \",\"\",\"$/\"&U$29)","v":"$/ea"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,28,2625.7899478093773]
[null,null,15,"Enter the unit cost to remove existing hardware:",null,null,null,null,null,null,null,"UCRHJ",null,null,2,{"$f":"IF(P$29=\" \",\"\",\"$/\"&P$29)","v":"$/ft"},null,null,null,600,{"$f":"IF(U$29=\" \",\"\",\"$/\"&U$29)","v":"$/ea"},null,null,null,null,{"$f":"IF(U$29=\" \",\"\",\"$/\"&U$29)","v":"$/ea"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,2625.7899478093773]
[null,null,16,"Calculate the total cost of installing the replacement hardware:",null,null,null,null,null,null,null,"CRHJ",null,null,{"$f":"O29*(O30+O31)","v":33725},"$",null,null,null,{"$f":"T29*(T30+T31)","v":46800},"$",null,null,null,{"$f":"Y29*(Y30+Y31)","v":0},"$",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30,2625.7899478093773]
[null,null,{"$f":"C32+1","v":17},"Estimate the number of annual fatal and serious injury crashes avoided:",null,null,null,null,null,null,null,"FCSAJ",null,null,{"$f":"IFERROR(IF(P17=\"MVMP\",(O18*O28*365*O29/(10^6*5280))*O15*O25,(O18*O28*365*O29/10^6)*O15*O25),\"\")","v":2.3021995108291852E-5},"crashes/yr",null,null,null,{"$f":"IFERROR(IF(U17=\"MVMP\",(T18*T28*365*T29/(10^6*5280))*T15*T25,(T18*T28*365*T29/10^6)*T15*T25),\"\")","v":1.9045686243718599E-4},"crashes/yr",null,null,null,{"$f":"IFERROR(IF(Z17=\"MVMP\",(Y18*Y28*365*Y29/(10^6*5280))*Y15*Y25,(Y18*Y28*365*Y29/10^6)*Y15*Y25),\"\")","v":""},"crashes/yr",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA32+1","v":31},2625.7899478093773]
[null,"Economic Analysis",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA33+1","v":32},2625.7899478093773]
[null,"The expected number of fatal and serious injury crashes avoided calculated in the previous step are summed and assigned an economic value based on the FHWA's value of statistical life (VSL) recommendation.   The internal rate of return where the sum of all the benefits in future  years equals the construction investment in the design years is calculated.  Generally, if the internal rate of return is less than 2% it is not the best use of funds.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,33,{"$f":"$O$38","v":2625.7899478093773}]
[null,null,18,"Calculate the total cost of the hardware replacement:",null,null,null,null,null,null,null,"TCRH",null,null,{"$f":"O32+T32+Y32","v":80525},"$",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA35+1","v":34},2625.7899478093773]
[null,null,{"$f":"C36+1","v":19},"Enter the value of statistical life (VLS) or  use the default value of $12.3 million:",null,null,null,null,null,null,null,"VSL",null,null,12300000,"$",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,2625.7899478093773]
[null,null,20,"Calculate the annual societal benefit of the replacement:",null,null,null,null,null,null,null,"ABCA",null,null,{"$f":"IFERROR(O37*SUM(O33,T33,Y33),\"\")","v":2625.7899478093773},"$/yr",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,2625.7899478093773]
[null,null,21,"Calculate the number of years to recoup investment at zero percent rate of return:",null,null,null,null,null,null,null,null,null,null,{"$f":"O36/O38","v":30.666961790747862},"yrs",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,37,2625.7899478093773]
[null,null,21,"Enter the assumed service life or retain the assumed 25 year life.",null,null,null,null,null,null,null,"YL",null,null,25,"yrs",null,null,null,null,null,null,null,null,null,null,"Type CTRL+SHIFT+R",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38,2625.7899478093773]
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{"sheet":"Formats","index":3,"n_rows":46,"n_cols":12,"rows_kept":46,"cut":false,"hidden":true,"merged":[[31,4,31,9]]}
[" ","Nomenclature"]
[null,"Symbol","Step","Row","Description"]
["ea","AADT",12,28,"Average daily traffic in vehicles/day."]
["ft","AADTo",null,null,"The measured  average annual daily traffic in vehicles/day."]
[null,"ABCA",20,{"$f":"1+D4","v":1},"Annual benefit of fatal and serious injury crashes avoided in dollars."]
[null,"CL",4,{"$f":"1+D5","v":2},"Confidence level."]
[null,"CREHJ",8,{"$f":"1+D6","v":3},"Police-reported crash rate for existing hardware type j in units of crashes/MVMP for continuous roadside hardware or crashes/MVP for discreet roadside hardware."]
[null,"CRHJ",16,{"$f":"1+D7","v":4},"Cost of replacing hardware type j in dollars."]
[null,"EEHJ",7,17,"Existing hardware type j exposure in units of MVMP for continuous roadside hardware or MVP for discreet roadside hardware."]
[null,"FCSAJ",17,{"$f":"1+D9","v":18},"Annual number of fatal and serious injury crashes avoided."]
[null,"G",null,null,"Traffic volume growth as a decimal."]
[null,"IIR",22,{"$f":"1+D11","v":1},"Internal rate of return as a percent."]
[null,"m",null,null,"Number of types of hardware considered for replacement."]
[null,"MVMP",7,17,"Million vehicle miles passing continuous hardware type j."]
[null,"MVP",7,17,"Million vehicles passing discreet hardware type j."]
[null,"NCj",2,{"$f":"1+D15","v":18},"Number of crashes of all severity involving hardware type j."]
[null,"NFSCj",3,{"$f":"1+D16","v":19},"Number of fatal and serious injury crashes involving hardware type j."]
[null,"QEHJ",6,16,"Quantity of existing hardware type j in the same area used for collecting crash data inft for continuous hardware and each for discreet hardware."]
[null,"QEHJ",13,{"$f":"1+D18","v":17},"Quantity of existing hardware type j in ft for continuous hardware and each for discreet hardware."]
[null,"REHJ",5,15,"Fatal and serious injury crash risk for existing hardware type j."]
[null,"RRHJ",9,23,"Fatal and serious injury crash risk for replacement hardware type j."]
[null,"RRRJ",11,{"$f":"1+D21","v":24},"Relative risk reduction for replacing existing hardware type j with upgraded hardware."]
[null,"TCRH",18,{"$f":"1+D22","v":25},"Total hardware replacement cost in dollars."]
[null,"UCIHJ",14,{"$f":"1+D23","v":26},"Unit cost of installing replacement hardwdare type j in dollars"]
[null,"UCRHJ",15,{"$f":"1+D24","v":27},"Unit cost of removing existing hardwdare type j in dollars"]
[null,"VSL",19,{"$f":"1+D25","v":28},"Value of statistical life in dollars."]
[null,"YCD",1,10,"Years of available police-reported crash data."]
[null,"YD",null,null,"Number of years between the observed AADT and the design year in years."]
[null,"YL",21,{"$f":"1+D28","v":1},"Project life in years."]
[]
[]
[null,null,null,null,"Extrapolating the VSL"]
[null,null,null,null,"PT","PO","IT","IO","Epsilon","VSLo",null,"VSL"]
[null,null,null,null,258,237,949,824,0.55000000000000004,9.6,"→",{"$f":"J34*(E34/F34)*(G34/H34)^I34","v":11.294812957766915}]
[null,null,null,null,"PT and PO are consumer price index (CPI) values https://www.bls.gov/regions/mid-atlantic/data/consumerpriceindexhistorical_us_table.htm"]
[null,null,null,null,"IT and IO are median usual weekly earings (MUWE) from https://www.bls.gov/charts/usual-weekly-earnings/usual-weekly-earnings-over-time-total-men-women.htm"]
[]
[]
[null,null,null,null,"VSL"]
[null,null,null,null,"YR"]
[null,null,null,null,2007,5.8]
[null,null,null,null,2013,9.1]
[null,null,null,null,2014,9.1999999999999993]
[null,null,null,null,2015,9.4]
[null,null,null,null,2016,9.6]
[null,null,null,null,2020,12.3]