7AD-AO79 591 YANG (NA! C) AND ASSOCIATES NEW YORK F/G 1/5NONDESTRUCTIVE EVALUATION OF AIRPORT PAVEMENTS. VOLUME III- OPE--ETC(U)SEP 79 D YANG DOT-FA?7-VA-396

UNCLASSIFIEO FAA/RD-78/154-3

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EIEEEEEEEEEEEEIIIIIIIIIIEN I///l////i~~-o,,, ,

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Report No. FAA-RD-78-154 III 1EV EV )7

NONDESTRUCTIVE EVALUATION OF AIRPORT PAVEMENTS

VOLUME III

-) OPERATION MANUAL FOR MLGPAV PROGRAM AT TCC

BY

0 DAVID YANG

!NAI C. YANG & ASSOCIATES, ENGINEERS

OMNI i161S

SEPTEMBER 1979r

Document is available to the U.S. public throughI L~the Notional Technical Information Service,

0Springfield, Virginia 22161.

repured for

U.S. DEPARTMENT OF TRANSPORTATIONFEDERAL AVIATION ADMINISTRATION

Systems Reseach & Devebopmnt ServiceWashui n, D.C. 2090

T.S DOCU.MENT IS BEST QUALITY RACTMTNIe

T'E COPY FURNISHED TO DDC CONTAINED A so 0

Tf~TT~~<~T NPYF OF PAGES WHICH DI 0 90T

0 vm' -

NOTICE

This document is disseminated under the sponsorship of theDepartnent of Transportation in the interest of informationexchange. The United States Governent assumes no liability

for its contents or use thereof.

A.I

DISCLAIMER NOTICE

THIS DOCUMENT IS BEST QUALITYPRACTICABLE. THE COPY FURNISHEDTO DDC CONTAINED A SIGNIFICANTNUMBER OF PAGES WHICH DO NOT

REPRODUCE LEGIBLY.

-i,. . ,

Technical Report Documeintatio Peg.1. Report No. 2. Government Accession No. 3. Recipient's Catalog Me.

FAA-RD-78-154 III'

4. Ttle and Subtitle .jgLDaia

NONDESTRUCTIVE EVALUATION OF AIRPORT PAVEMENTS p , )epW*SiW9

F< LUME *miaOgn.aa.C*

OPERATION MANUAL FOR MLGPAV PROGRAM AT TCC- 8. Performing Organization Report No.

Davi d/Yang_9. Performing

6 rganization Name and Address 10. Work Unit No. (TRAIS)

Nai C. Yang & Associates, Engineers, P.C. /60 East 42nd Street 'A-oee ooA77nA394 NoNew York, N.Y. 10017 C DOToFA77.dWA-3964-

60 as 42d tret I- pT-6Tr ep-arT and rie-Cave red

12. Sponsoring Agency Name and Address Fi0lRe'-U.S. Department of Transportation I,/ , . /Federal Aviation Administration _- * --Systems Research & Development Service 14. Sponsoring Agency Code

Washington, D.C. 20590 ARD-430

15. Supplementary Notes

16. AbsI.tSensitivity analysis of aircraft parameters on functional pavement design is

the primary goal of the MLGPAV program at the Transportation Computer Center (TCC)

in Washington, D.C. The program is an integrated system which is data independentbased on defined mathematical models and operational logic. The input data isdivided into job and universal default inputs.

The job inputs consists of only the aircraft data such as:(l) forecast of

aircraft movements;(2) maximum takeoff weight;(3) natural frequency of aircraft at

tire pavement interface;(4) tire pressure of main landing gear wheel; (5) wheelconfiguration of main landing gear and(6) gear spacing.

The default system contains all of the data independent of the aircraft, such

as: (1) regional cost values;(2) types of facility, runway, taxiway, apron: (3) navi-gation system;(4) operation speed; .5) roughness and maintenance standards;(6) sub-grade conditions and(7) airport traffic distribution.

A unified mechanistic method is used to design five types of functional pave-ments for identical service requirements on riding quality and maintenance needs.They are: (1) asphalt pavements in southern or northern region;C2) concrete pavements

on stabilized or aggregate base and(3) full depth stabilized base pavement.

The MLGPAV program operation involves extensive use of data storage ard'\1'iling

techniques. The current operational program and this manual are prepared for execu-tion on the computer hardware system at TCC.

17. Key Words 18. Distribution Statement

Computer Design Document is available to the U.S. publicAirport Pavements through the National'Technical InformationCost Benefit Service, Springfield, Virginia 22161.Landing Gear

19. Security Classif. (of this report) 20. Security Classif. (of this page) 21. No. of Pages 22. Price

Unclassified Unclassified 1 48

Form DOT F 1700.7 (8-72) Reproduction of completed page authorized

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OPERATION MANUAL FOR MLGPAV PROGRAM AT TCC

CONTENTS Page

OPERATION LOGIC, PROGRAM LANGUAGE AND COMPUTER SYSTEM 1

FORMAT OF USER'S INPUT 2

JOB INPUTS 3Job Card 3Aircraft Data Group 3

LISTING OF DEFAULT INPUTS 5Program Control Cards 5Regional Cost Values 5Facility Types 5Bandwidth for Traffic Distribution 6Dynamic Increment of Aircraft Vibration 6Velocity of Aircraft 6Financial Cost Data 6Demand Forecast 6PFLDI, Smoothness of Existing Pavements 6Class, Identificatiun for Design Coefficients 7Layer, Identification for E-value and Poisson's Ratio 7Layer Cost Data Group 7Pavement Data Group 8Design Charts - Layer Thickness 8New Pavement ESUB Grid Values 8Codes of Keel and Side 8Existing Pavement Data Group 9PFLPAV ESUB grid Values 9PFLPAV Design Charts Control Group Data 9PFLPAV in Aircraft Equivalency for PYL 9PAVEMENT in Aircraft Equivalency for Thickness Design 9Design Charts for Limiting Deflection and Stress 10Facility and Station Identifications 10Statistically Processed NDT Group Data 10Average Daily Movements 10or_ 10Airport Traffic Distribution .1 i1GELS/NDT3 Design Charts . ALi 11Pavement Design cd11

A , ,,

Page

DESCRIPTION OF SYSTI OUTPUTSTitle Page 17Print/Input 17GELS /FAMD 17GELS/FAM Page Counter H MRT 17GELS/HDES Page Counter MWPRT 17Run/PAVDES Page Counter ATM 17

Page Counter OPWGT 17Page Counter AND/ANS 17Page Counter CED: 17Page Counter PAV: 18

ERROR MESSAGES AND DIAGNOSTICS 18

REFERENCES 18

APPENDIX 1 OS 360 JOB CONTROL CARDS FOR OPERATION AT TCC 30

APPENDIX 2 BASIC FORTRAN LISTING 32Subroutine NDT3 33Subroutine CALC(I) 34Subroutine CALC(2) 35Subroutine PAVDES 36Subroutine FAM 37Subroutine HDES 39Subroutine PCVCAL 42

iv

OPERATION LOGICS, PROGRAM LANGUAGE, AND COMPUTER SYSTEM

Sensitivity analysis of aircraft parameters on functional pavementdesign is the primary goal of the MLGPAV program at the TransportationComputer Center (TCC) in Washington, D.C. The program is an integratedsystem for the functional design of airport pavements. The integratedprograms are data independent, based on defined mathematical models andoperational logic.

The model parameters, operational details and values to be processed,form a set of input data which is defined through the use of naturallanguage heading statements and requires no programming experience on thepart of the user. For the operational program at TCC, the input data isdivided into job and universal default inputs. The job inputs consistsof only the aircraft data. The default system contains all of the data,independent of the aircraft data.

The primary subsystem is the PAVDES subsystem from the PAVBENoperational program at TCC. The primary output from the PAVDES subsystemis the thickness design of pavements of various compositions. In the PAVBEoperation the aircraft data is in the universal default file and all theassociated design charts are in the computed data inputs. For MLGPAVoperation, the aircraft data is in the job input file, requiring the necessarydesign charts to be computed for every execution.

The MLGPAV program is operational on the IBM 360/65 at TCC. The pro-gram is written in the high level language FORTRAN Iy. The program acceptsinput in the form of cards and needs several temporary files on auxiliarystorage.

I° I

FORMAT OF USER'S INPUT

The program accepts input in the form of 80 character cards. Theinput cards are divided into two types: program control cards and cardsin data groups. The control cards specify the program sections to beexecuted. The data groups provide the actual data values for programprocessing. Unless otherwise specified, each card is logically dividedinto eight fields of ten characters each. Each control card has a singlekeyword in field on which identifies itself both to the program and theuser as a control card. Additional fields on a control card are used toprovide related information.

Logically related input cards are placed together in data groups.The first card or cards are descriptive heading cards. The number of head-ing cards is fixed and the user should not add or delete any heading card.One of the heading cards is usually a field identifier card. On this card,each field has an acronym which identifies the data values on subsequentcards in that field. For more detail description, the particular fieldidentifier can be found in the dictionary. Following the heading cardsare the cards containing the actual data values corresponding to thefield identifier. The order of cards in the group is important. Thelast card of data group is a delimitor card containing, * * in columns 1and 2.

Values in a field have three definitions: integer, floating pointor alphanumeric. They are expressed respectively by blanks and numbers,0 to 9; blanks, the minus or plus sign, decimal point and the numbers 0 to 9;and all characters. Certain fields have only specific values allowable. Un-less otherwise specified all values should be left justified in a field. Thisis especially important for alphanumeric fields. Blanks in floating pointfields are interpreted as zeros. If a decimal point is omitted in a floatingpoint field, the decimal is assumed to be after the rightmost column in thatfield. Certain field has subfields. The subfields are separated byslashes, /. The slash must appear in the exact column, as specified. Toensure proper recognization of the control cards and the data groups, thespelling and the spacing of the control keywords and heading descriptionsmust be correct.

2

JOB INPUTS

JOB CARD

JOB Starting from column 11 ic a 70-character space for job name.Usually SENSITIVITY ANALYSIS OF AIRCRAFT and 9-letter air-craft code.

AIRCRAFT DATA GROUP

FIELD IDENTIFIER DESCRIPTION1 AIRCRAFT defines index, 1 to 202 CODE defines 9 char. AIRCRAFT code3 MTOW max. take-off weight, lbs.4 MLRW max. landing roll weight, lbs.5 OEW operational empty weight, lbs.6 RANGE range of aircraft, XLONG, LONG, MEDIUM, or SHORT

1 BLANK2 BLANK3 MLG main landing gear weight as fraction of MTOW4 WGT single wheel weight as fraction of MTOW5 PSI tire pressure, psi6 FREQ natural frequency of rubber tire, Hz7 NWHEEL number of wheels of 1LGS8 XMAX distance between outer wheels, inches

1 BLANK2 BLANK3 WHEEL NWHEEL transverse coordinates4 X-COORD number of cards is the integer of (NWHEEL-I)/6 plus 1.5678

1 BLANK2 BLANK3 WHEEL NWHEEL longitudinal coordinates4 Y-COORD number of cards is the integer of (NWHEEL-I)/6 plus 1.5678

3

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LISTING OF DEFAULT INPUTS

PROGRAM CONTROL CARDS

The user controls the data processing by means of card inputs. AllMLGPAV control cards have two portions (1) control keyword field incolumns 1 to 10 and (2) specification field or fields in columns 11 to80 containing values or additional keywords required by the particularcontrol card being used. There are six control keywords which have beenprogrammed in the listing:1. SITE Starting from column 11 is 4-character site code.

For TCC operation, this card is in the default system.2. LINE In column 11 is a single digit number indicates the lines

skipped by the operating system on a printed page. ForTCC operation, this card is in the default system.

3. USER Starting from column 11 is a 12-character user name.4. JOBCODE Starting from column 11 are 7 characters to be printed

in block letter on title page.5. RUN Field 2 identifies the program to be executed.6. PRINT There are 2 allowable keywords in field 2:

DICTIONARY - prints all dictionary items in sorted groups.INPUT - prints control cards and job inputs.

REGIONAL COST VALUES

FIELD IDENTIFIER DESCRIPTIONI COST defines cost index 1 to 252 CODE defines 6 character cost code3 DATE date of cost values, mon uh/date/year4 REGION CODE cost value for the region coded5 REGION CODE6 REGION CODE7 REGION CODE8 REGION CODE

There may be more than one data group. Each data group may have one ormore regions. The region code is 4 characters long. The cost values ofthe last region on the last data group will be used in the computations.

FACILITY TYPES

FIELD IDENTIFIER DESCRIPTION1 TYPE defines index 1 to 52 FACILITY defines 2 character code3 FACILITY defines additional 2 character code4 FACILITY for example, the first two characters5 FACILITY of RUNWAY is the facility type code6 FACILITY

5

i

_r . . . .. . . .. ... . .. ... . .. . ., i. . . . .. . ° 7 7 f " .. . .. ...

BANDWIDTH FOR TRAFFIC DISTRIBUTION

FIELD IDENTIFIER DESCRIPTION1 BANDWIDTH defines bandwidth index 1 to 52+3 CODE defines 12 character BANDWIDTH code4 RW bandwidth in feet5 TW bandwidth in feet6 SH bandwidth in feet

DYNAMIC INCREMENT OF AIRCRAFT VIBRATION

FIELD IDENTIFIER DESCRIPTION1 DI facility type location, keel or side2 RW dynamic increment, in g3 TW dynamic increment, in g4 SH dynamic increment, in g

VELOCITY OF AIRCRAFT

FIELD IDENTIFIER DESCRIPTION1 VEL facility type location, keel or side2 RW aircraft velocity in knots3 TW aircraft velocity in knots4 SH aircraft velocity in knots

FINANCIAL COST DATA

FIELD IDENTIFIER DESCRIPTION1 FINANCE blank2 AIRB annual interest rate of bond3 ARCD annual rate of cash discount4 ASCCC annual escalation rate of construction cost5 ASCMC annual escalation rate of maintenance need6 NBL maturity of revenue band in years7 NSLP mortgage payments of bond, in years

DEMAND FORECAST

FIELD IDENTIFIER DESCRIPTION1 FORECAST defines 6 char. FORECAST Code2 ADM defines 6 char. ADM code3 ATD defines 6 char. ATD crde

PFLDI, smoothness of pavement surface

FIELD IDENTIFIER DESCRIPTION1 col. 1-10 defines DI for deflection analysis2 Col. 11-50 defines 40 char. smoothness description

6

CLASS, identification for design coefficients

FIELD IDENTIFIER DESCRIPTION1 CLASS defines CLASS index 1 to 202 CODE defines 6 char. CLASS code3 OVSFKL overstress factor for keel4 OVSFSD overstress factor for side5 STRESS conversion factor from E-value to tensile stress6 FATIST coef. of fatigue stress7 COVAR coef. of variance8 Al coef. of transfer function (trans. to long def.)

1 BLANK2 BLANK3 A2 ooef. of transfer function (trans. to long def.)4 Dl coef. of transfer function (elastic to cumulative)5 D2 coef. of transfer function (elastic to cumulative)6 DC coef. of contact rigidity

LAYER, identification for default E-value and Poisson's Ratio

FIELD IDENTIFIER DESCRIPTION1 LAYER defines LAYER index 1 to 252 CODE defines 6 char. LAYER code3 EVALUE default E-value of layer4 POISSON default Poisson ratio of layer5 MOD(S) mob. and demobilization cost for small job6 MOD(N) mob. and demobilization cost for normal work

LAYER COST DATA GROUP

FIELD IDENTIFIER DESCRIPTION1 LAYER defines LAYER index2 PCBT coef. for computing unit price of the layer3 FIAGT4 COAGT5 ASCLT6 HLBT7 POZBT8 SFST

Continuation Card1 BLANK2 IWFAT coef. for computing unit price of the layer3 RSWLB4 LBBR5 CLHR6 SLEHR

7J

PAVEMENT DATA GROUP

FIELD IDENTIFIER DESCRIPTION1 PAVEMENT defines PAVEMENT index 1 to 202 CODE defines 6 char. PAVEMENT code3 LAYER defines code of layer composition4 THICKNESS default thickness of layer, inches5 EVALUE if blank, use default E-value6 POISSON if blank, use default poissonLast card in each defined pavement must have a layer code of SUB, PAV orPFLPAV. SUB defines new pavement on subgrade; PAV defines overlaypavement on existing pavement which is treated as one layer; PFLPAV definesoverlay pavement on actual existing pavement.

DESIGN CHARTS - LAYER THICKNESSES

FIELD IDENTIFIER DESCRIPTION1 ITERATE blank2 PAVEMENT PAVEMENT index3 LAYER LAYER code4 HMIN min. thickness of design chart, inches5 HMAX max. thickness of design chart, inches6 HSTEP thickness increment of design chart, inches

NEW PAVEMENT ESUB GRID VALUES

FIELD DESCRIPTION1 to 8 subgrade E-values of design charts for new pavement

and overlay pavements on actual existing pavement.Continuation card also has same format.number of cards - the integer of (number of E-values -1)/8 plus 1.max. number of E-values - 20.

CODES OF KEEL AND SIDE

FIELD IDENTIFIER DESCRIPTIONI PAVEMENT blank2 NUMBER blank3 KEEL defines pavement index for keel4 SIDE defines pavement index for side

8

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EXISTING PAVEMENT DATA GROUP

FIELD IDENTIFIER DESCRIPTION1 PFLPAV defines PFLPAV index, 1 to 202 CODE defines 6 char. PFLPAV code3 LAYER LAYER code4 THICKNESS thickness of layer, inches5 EVALUE if blank, default value is used6 POISSON if blank, default value is usedEach PFLPAV must end with a LAYER code SUB.

PFLPAV ESUB GRID VALUES

FIELD DESCRIPTION1 to 8 subgrade E-value for PFLPAV deflection and stress

chart.Continuation card also has same format.number of cards - the integer of (number of E-values -1)/8 plus 1.max. number of E-values = 20.

PFLPAV DESIGN CHARTS CONTROL GROUP DATA

FIELD IDENTIFIER DESCRIPTION1 PFLPAV PFLPAV index2 CLASS CLASS code for design coefficients3 LAYER FOR

STR/MT LAYER code for governing stress condition

PFLPAV IN AIRCRAFT EQUIVALENCY FOR PFL

FIELD IDENTIFIER DESCRIPTION1 CLASS CLASS index2 PFLPAV FOR

AND/ANS PFLPAV index

PAVEMENT IN AIRCRAFT EQUIVALENCY FOR THICKNESS DESIGN

FIELD IDENTIFIER DESCRIPTION1 CLASS CLASS index2 PAVEMENT PAVEMENT index3 PFLPAV FOR

AND/ANS PFLPAV index, (0 indicates subgrade)Both PAVEMENT and PFLPAV indexes are used to define the representativepavement to be used in aircraft equivalency for thickness design.

9

DESIGN CHARTS FOR LIMITING DEFLECTION AND STRESS

FIELD IDENTIFIER DESCRIPTION1 PAVEMENT PAVEMENT index2 PFLPAV PFLPAV index3 CLASS CLASS code4 LAYER FOR

STR/MT LAYER code for governing stress condition.

FACILITY AND STATION IDENTIFICATIONS

FIELD IDENTIFIERS DESCRIPTIONS1 FACILITY defines FACILITY index, 1 to 502 CODE defines 9 char. FACILITY code, first 2 char.

identify facility type code3 STA-FROM min. 5 char. station code in hundreds of feet4 STA-TO max. 5 char. station code in hundreds of feet

STATISTICALLY PROCESSED NDT GROUP DATA

FIELD IDENTIFIERS DESCRIPTIONS1 FACILITY FACILITY index2 STA-FROM min. 5 char. station code3 STA-TO max. 5 char. station code4 SUMZ blank5 EVALUE NDT E-value from NDT2 AREA-E, psi6 DRAINAGE DRAINAGE code, NORM or WET7 TEMP. temperature8 PFLPAV 2 subfields, PFLPAV index, PFLPAV codeMax. number of STA-FROM and STA-TO is 7.

AVERAGE DAILY MOVEMENTS

Heading Card 1, Columns 11 to 20 contain the 6 char. ADM code.Heading Card 2, defines aircraft movements.

FIELD IDENTIFIER DESCRIPTION1 AIRCRAFT AIRCRAFT index2 year previous year's traffic3 year + 1 current year's traffic4 year + 6 5 year ADM5 year + 11 10 year ADM6 year + 16 15 year ADM7 year + 21 20 year ADMAll aircraft indexes must appear. If aircraft does not have any trafficthan leave columns under the years blank.

10

AIRPORT TRAFFIC DISTRIBUTION

Heading card 1, columns 11 to 20 contain the 6 char. ATD code.

FIELD IDENTIFIER DESCRIPTION1 FACILITY FACILITY index2 STA-FROM min. 5 char. station code3 STA-TO max. 5 char. station code4 YEAR year + 1 as defined in ADM5 TOW% percentage of take-off6 LRW% percentage of landing roll7 TDW% percentage of touchdownYEAR should match the one defined in ADM.

GELS/NDT3 for each PFLPAV in design charts control group data.

FIELD DESCRIPTION1 number of thickness2 number of PFLPAV E-values

Continuation card or cardsI to 8 surface deflection of PFLPAV under a single wheel having tire

pressure = 200 psi and radius 9 inchesnumber of cards = the integer of (number of E-values -1)/8 plus 1.

Continuation card or cards1 to 8 tensile stress in the governing layer under the same single

wheel for deflection.number of cards = the integer of (number of E-values -1)/8 plus 1.

PAVDES PAVEMENT DESIGN

FIELD IDENTIFIER DESCRIPTION1 FACILITY FACILITY index2 SERVYR service year in 5, 10, 15 or 20 years3 BANDWIDTH BANDWIDTH index4 FORECAST FORECAST codeControls the number of facilities which will be printed when the PAVDESprogram is run. Facility number may be repeated to get several differentdesigns for the same facility.

1A

DATE: 17:41:11 DEC 13# 1978

1 SIT; T r

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10 RFiIONAL CnST VALtUFS11 CnST Cr, E DATF ACEI? I PCPT 11/01/7R 43.9013 2 F I A(,T 11/09/78 4.0114 A rA,T 11/09/78 5.351 4 A SCLT 11/O-/78 80.0016 5 HL AT 11/10/78 75.0017 & Pn MT 11/1C/78 3.50Ia 7 SFPT 11/13/78 3.0319 A IWFAT 11/10/78 2.0020 9 RSI'LR 11/10/78 .3671 13 L R 84 11/05/78 .36822 11 CLHP 11/02/78 7.0323 12 SLFHR 11/02/78 10.07

25 TYPF FACILITY FACILITY FACILITY FACILITY FACILITY2, 1 RW kIINWAV"I 2 TW TAXIWAY XTW

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41) IIAtJ')W InTH r 1111 1 .OOF RU TW siI

1 1 Nfp /v IPIIAL 40. 16. 16.7 L IGHTS/ILS 20. 10. l6.

34 ;)I PW TW Sm35 KFrL .12 .12 .30

"36 S 1)E .18 .1s .3037 *,*

1P VFL RW TW SH4q KFct 145. 50. 50.

'0 eIOE 145. 50. 50.41 *.. ? FINANCF AIRS ArrO ASCCC ASCMC NOL NSLP43 .0 .10 .09 .02 33. 20.44 *45 FnRFr4ST AIM ATD

41, FAMSUG ADMSIIG ATr .Jr

48 OF FL')I4' .12 SMI'OTH PAVEMFNT SIIRFACFr3 .19 flPFRAT INAL SJQFACF51 .25 IlPPCr LIMIT OF ROIUGHNESS TOLERANC

.

r,2 .30 %AJnF PFHABILIT.ITION PEOIJIRFO53 *'i 4 CLASS r.OE nVSFKL OVSFSD STRESS FATIST COVAR At15 A? Il 02 DCS AC/.fNR c) 1.2 .6 ; .086 .12 2.3057 .0173 .46 2.00 1.3Jr R 2 Ar. CIll .q 1.2 .65 .u86 .12 2.30

.0170 .46 2.00 1.336.1 r. r / r Tm 1.0 1.333,3 .43 .JH2 .13 2.95

1. .0104 .61 2.00 ,$262 4 C.r/AGR 1.0 1.3333 .40 .0.42 .10 2.9563 .0104 .61 2.00 b2

64 5 L C.F 1.0 1.3333 1 z.. .15 Zed06 *1 .0125 .54 2.)0 .93

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67 1AY= Corp EVAUtIF pa01rWN %fin(C4 MKJOI)IISVI 20103n. .0329 3i

til pL CFA 110,330. _ .3164 .ij 1.91') CR 000 .0351 .z3l 571 4 LCFC 4)0.300. .00'51 Dais57? 5 C IR nooO. .03a9 ..#3J5

71 6 PAy 63000. .0039 .333574 7 PC(0 15003a00 .1365 .3275 -A ___Prt _ 4 1 0 000. n- . 4 __.j02? ____

76 C) Olt CV)0 .3043 .302277 10 CTAt 203330. :0338 .331978 11 ISRS 150000. .01)26 .,)31479 12? 60000. .0020 .0311$0 11 AG6kS 40000. .1)017 az,At 14 SSAS ___20000. __ '05 *,38________A2 is LTS'JA 1503J. .3029 .331583 l# FYPCnv 4500030. .0 a004 17 Fx~rnv jannnn'. ~j5 1$ FXPC 33uujtJi. .0 .3

16 19 FXAC 140000. .31 .037 2 0~c- .3

A 71 EX$-A 50003. .0 .36() 77 PFLP)AV 60000. .0009 .3305

.1 LA VER PCPRT FIAGT CCIGT AS-CLT HLBT POW8 SM?%.4 lFAT RtSWR LROM CLHR SLEHR

93 1 .0102 _ __

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131

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103 9 .0107

114Ili 72 .0107_ ___ ___ ____ __

116

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114

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138 PAVEMENT COlDE LAYER THICKNESS EVALUE p~L~l'"139 1 ic/%nfR ASTORP 2.143 ASC 16.!41 AGS 6. ____ . -- ___

142 SURl143 7 AC*41flu AtT(t'P 2. 100003.1-#4. ASRS 20. 85000.145 AGP5 5146 elia147 3 cc/CIR PCC.- 12.141 ~CT ft 6.

14;0 4 CC/AGRl Pcc 14.

152 S581- A.15 3 SUPR1%4 s C ASTCIP 4.155 LCFA 6.IS6 LCFft so

1~TLCFC S.SUft

it.0 17FRATF PAVF"FNT LAYER HMIN NIAX HSTEPI6 isI ASAS 4. 37. 3.16) 7 Ages 4. 3?. 3.363 APet a. 19. ~1. . .

1Ib4 4 . r so 8 19. 1.165 5 _LC.FA -. 2. - IA0 1.5 ____

165 916,7 N4FW P&VFSMr7 FSUR GRID FVALUES

IR 3a03. S04,0. 9000. 15000. 21000. 3530.

17n PAVEMPNT %lJMPFR KFEL SM!E

177 2 2173 3. 3174 4 4if's 5 5

177 PFIPAV CInDE LAYER THlCKNES%_ EVALUE -. .-

178 1 ACI EXAC 3.379 EXOSA 6.

112 FL.'AV ESIR l;RIO V) U

151 7)03). 33 __ 4000. 6000. -80300.6 12000. 16000.0 5001*44 ;silk10. 45fl00. 73000O. 100000.'

46 P119AV CLASS LAVER FOR %IR/MYIn? I AC/NOR EXRSA

CR QlS PFLPAV PInh 'A'4DANS_ __ ___ __

194 2P.0

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21 FACILITY ANn STATION IDFNTIFICAlI.NS7,3? . FACILfTY. C.nE .... STA-FROM.. STA-Tn

?8 I RW 5 300.3 093.0209 z RW 15 000.0 090.0213 3 RW 35 000.0 090.0

711 4 TM 5 000.0 M90.0

712 5 TW 15 000.0 090.0

713 6 T 35 _ 000.0 ... 090.0

214 7 SH 5 000.3 090.a

715 R SH 15 000.0 090.0216 q SH 35 000.0 090.021121A CTATIrTICALLY PIReCFSSED NnT GROUP DATA

21)

. FACILITY .TA-FRrM_ STA-TO SUI4Z EVALUE DRAINAGE TEMP. PFLPAV

773 1 000.0 030.0 153-30. NORM O/ UR

271 010'.0 060.0 5000. NORM O/SuR

222 360.0 OqO.0 5000. N301 O/SUR

723 7 000.0 330.3 15000. NORM O/e-Ui

2,4 030.0 060.0 15000. NORM 0/SUg715 360.0 __090.0 15000. NORM O/SUR220 O . ... .3 3140.0 55000. - NOIRM '1. . . . .. oQ/;UB

277 n30.0 060.0 35000. NORM O/SUB?7h 60.0 090.0 35000. NORM 0/SUB?9 4 000.0 030.3 5300. NORM 0/UB

2i3 07a.0 060.0 5300. NFf it M O/SUR

731 060.0 0o0.0 5000. N3RM 1)/SUB71) 5 . 00.0 033.0 15000---'NORM 0/"UB

233 030.0 060.0 15000. NORM O/SU5

234 060.0 090.0 15000. NORM O/SUB735 6 000.0 333.0 35000. NORM O/sUP"

736 030.0 060.0 3:000. NURm O/StiB

247 n0f.0 090.0 35000. NORM 3/SUB73 R 7 30 J0.3 ... 330.3 5000. __-NQRA O0/U; us .

13 7 30.3 030.0 5300. NORM 0/SUA739 020.0 060.0 500. NORM 0/SUB

740 06n.0 090.0 5000. NUOM 0/SUB741. 8 300.0 030.0 15303. N3OM O/CUB

2,2 030.0 0610.0 15000. NORM O/SUB743 __ 060.0 090.0 15000. N3,1M 0/SUB

244 9 .... 0. 0 030.0 35000. NORM2145 010.0 060.0 35000. NOR M O/StB

746 .60.0 00.0 3000. NO'M 0/SUB247 **2.R AOnm A0M%1G AVERAGE CALLY MOVEMENTS# SUGGESTED279 NtIM'qER €1F AIR('R%!:T MOVEMENTS.

250 AIPCRAFT " 1977 .. 1 188 . .1 1 . .198

;51 1 Is. 15. 20. Z5. 33. 35.

751 ATO ATnc[IG AIRPCPT TRAFFIC DI%TRIRUTION* SXGESTEO

754 FACILITY STA-FRrM STA-Tn YEAR TOWS LRN- TOW%

2%5 1 300.0 030.0 1478 1000. 1330. 1000.

2 ;6 010.0 06 .0 1978 . 100. " 1J3. - .. 1,0.

257 066.0 093.0 1578 tO. 1.a. 1O.

28d 2 300.0 030.0 1578 10330 1)333 1000.259 (1301.0 060.0 1978 100. 133. 100.7bO 060.0 393.0 1478 10. I1. - 10-."..............?At 3 000.0 030.0 17qT8 1300. 1330. 1000.

767 0"40.0 060.0 1178 100. 103. lo1U.......o".0 0). 1 ,170 1 J. 10. 1.

70,'. 4 .1,r.0 330.0 1479 111). 10)3D

o'0.0 0 60.3 1q78 133. 113.2,, 360.0 040.0 15TR 13. I.76.? 5 000.0 030.0 15e78 1000. .133. . . . . ..

030.0 000.3 1978 )0. 133.060.0 390.0 1978 13. 13.

77. A ,,30. 0 030.0 1 578 1000, 1333.

??1 130.0 060.0 Iq78 103. 103.

77 J 0 .0 090.0 1978 13. 1ot

15

LIk

?7 Alo00ft __ 0.0 1978 1 •774 030.0 060.0 197R .1I"S 063.0 093.0 1978 .3L

P l OA 000.0 030.0 1978 1.777 010.0 363.0 1978 .1?;, "A,0.0 OqO.0 1978 .31

2T9 4 000.0 030.0 1978 1.zA0 0"0.0 D60.0 1978?At 360.0 090.0 1978 .31

2MI GFLS Nn'fT3784 1 12,r, o.,.47A 0.36715q 0.301377 0.228033' I.187158 _.142352 .1I7210 0.087903786 n.)7167q 0.06170 00.49477 0.042216

707 379.Q0R 779.614 243.dd6 194.094 159.736 113.803 83.746 42.6537p 16.847 0.648 -21.661 -34.54571)9-4 n PAVnIES PAVF4ENT DESIGN7,11 FACUILTY ,FPVYR }ANOWIOTH FCRFCA9T,7 1 20 7 FAMSUG29; ? 0 7 F AM SIG794 70 2 F 4 U G7'5 L 20 1 FhASUG71)1 7 70 1 FAMSUG

7147 3 20 1 FAMS I;P98 4 70 1 F AMSUG799 5 70 1 FAMSUG

3%3 6 70 1 F AiSIlG3.11 7 P0 1 FAMSUG

.;o7 R, 70 1 FAMSUG

3313 k P70 I_ ..... FAMSUG_304 *9

16

DESCRIPTION OF SYSTEM OUTPUTS

TITLE PAGE Print the name of user, MLG-PAV, job name and TCC site. Thetop and bottom margin of title page is 2 and I inch respectively.

PRINT/INPUT Head card of input data groups1. Listing of Default Inputs2. Aircraft Data Group

GELS/FAMD For aircraft 1; with weight, MTOW; pavements AC/NOR, AC/SOU,CC/CTB, CC/AGB, LCF; all wheels and 1 wheel; prints the maximum horizontalstress at the bottom of each pavement layer, and the surface deflection atwheel 0., 0.

GELS/FAM Same as GELS/FA1D except all weights, MTOW, MLRW, MTDW.Under the MWFPRT page counter, a table of stresses at the critical layerand the surface deflection for all pavements is printed. GELS/FAND andGELS/FAM are used to get a single equivalent operation of aircraft 1, weightMTOW.

GELS/HDES For aircraft 1; weight MTOW; pavements AC/NOR, AC/SOU, CC/CTB,CC/AGB, LCF; different thicknesses of design layer; different E-VALUE ofsubgrade support; all wheels and one wheel; prints the maximum horizontalstress at the bottom of each pavement layer and the surface deflection atwheel 0., 0. Under the MWPRT page counter, a table of stresses at thecritical layer and the surface deflection for all pavements is printed.

RUN/PAVDES

1. Under ATM page counter, listing of aircraft movements which is equal tothe product of average daily movements and airport distribution foreach facility segment duriw: the 20 year design service life. ATM forRW and TW stations 0. - 30., 30. - 60., and 60. - 90. is 1825000.,182500. and 18250. respectively. ATM for SH stations 0. - 30.,30. - 60., and 60. - 90. are 1825., 182.5 and 18.25 respectively.

2. Under the OPWPT page counter, lists the MTOW, MLRW and MTDW for air-craft 1.

3. Under the AND/ANS page counter, equivalent single type aircraft operationwill be listed for each pavement and facility. For each pavement onlythe first two facility segments are printed.

4. Under the CED page counter for each pavement, the computed engineeringdata relating to aircraft load repetition, E-value of subgrade, de-flection and stress limits, and thickness analysis for two drainageand three traffic conditions are tabulated. There are five new pavementsAC/NOR, AC/SOU, CC/CTB, CC/AGB and LCF. For each new pavement there arethree RW, three TW and three SH facilities having respective E-value ofsubgrade. Under the NORM drainage condition, the associated ESUB NORMvalues are 5000., 15000., and 35000. psi. The corresponding ESUB WETvalues are 3000., 9000., and 21000. psi respectively.

17

5. Under the PAV page counter, the pavement data relating to functionalrequirements and governing condition of design are tabulated, similarto the CED listing.

ERROR MESSAGES AND DIAGNOSTICS

The input goes through two stages of processing:

1. Identification stage in which the input data group or control cardmust be recognized. If it is not, then, an error message is printed.All cards are printed and the error is temporarily ignored until thenext delimitor ** is encountered. If a control card is mispelled, thenext data group will be flagged in error yet the program will assumeas if the last card of a data group is in error.

2. Data verification in which the program prints a limited number ofself-explantory error messages. FORTRAN will print messages if thecharacters do not match the field, such as type of integer or floatingpoint. FORTRAN will also print execution error messages, such asmispunched, incorrect or missing data.

Error messages printed in the system log at the beginning of each joblisting can be refered to the OS 360 Manual. These messages help identifywhether the program, JCL or hardware caused the error.

REFERENCES

1. Yang, Nai C., DESIGN OF FUNCTIONAL PAVEMENTS, McGraw Hill Book Co.,New York, 1972.

2. Yang, Nai C., Nondestructive Evaluation of Civil Airport Pavements,FAA-RD-76-83, September 1976.

3. Yang, Nai C., Nondestructive Evaluation of Airport Pavements, Volume I,Program References, FAA-RD-78-154 I, September 1979.

18

4 A~

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44 4 44 4 -T I iL

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xxa-xxxx -

I y.c F AL IL IIY FALILITY FACILITY FACILITY FACILITY-0%-*tJU.AUH LCEI -;L0t2 RW 1k, LI

U a kk Tb ShV CA. R i Ta SiF A Id AACD ASCCC ASCI4C NdL N SL Pi- jL -,AS I A L. AI1D

I'ALUI%4- ,S CLUE 0'VIIKL OVSFSD STRESS FATIST CriVAR A

L.AYLI% CLUJE EVALUE POISSUN N4GD(Si MUOINi ___- .LA~tit Pcd I F IA(UT CGAGTl ASCLT I-LIdT OT

PACtTCLUE LAVER THIICK(NESS EVALUE POISSCMI ltfAi L PAVEMENT LAVER HA 1% HMqAX IISIEP -tNcn OAiVcPEtNT kSUL GRID EVALUESrVcAiEuJ tNA'.OEK KEEL SIDE0FLeAV CCJE LAYER. TIICKESS.EV.ALUE ______________POV tSLb GOID EVALUES

PILPUAv CLASS LAYER4 0FtO SIR/MITLh.M~ PHkiAV FOR AhDIOANSk.LZ,.i PAVEMENT PFLPAV FOR ANC/AN'S

Sa4 WC~A uh PFLPAV CLASS LAYEK FLA4 STR/MI --F.&...LIIY ANC STArACh LIENTIFICATICNSSI1ILJoTICALLY PeACCESSW~ N~OT GROUP DATA -- ___A 04 ACH S (AG AvEkAGk DAILY MCV~EMENISP SUGGESTEDAru ATUSUoG AIRPORT TRAFFIC DISTRIdUTION, -SUGGESTEDAI#(L^AJ-1 CCCE A410k MLRiv OEW RANGE

1*061 C. YAhGv EhOINEEN4IhG CUNSULrAhl - - ____

SENSITIVI(Y AhALYSIS GF AIRCRAFT L-LOLL-L --

140CEL PAVEMENT; AC/NOR ASTUP 2.0 200000. C.21 -AS8S 16.0 I500JG. C.24 ________

AG8S 8.0 '-400U. -0.28si8 INFI 6000. 0.34

Alh~COWI SURFACE CEFLELTICA, hZ STRESS AT LAYER: ASBSTCkI LRw Tch I~k LRW TD&w

L-10O11-1 O.L6iZ2 0.13417 0IV673 64.4 55.4 76.10.06951 0.C59G5 0.08445-. 66.8 5 7. 3 79 1

I4CDEL PAVkPENT: AC/S6U ASIOP 2.0 I00OU0. 0.25ASBS - 20.0 850a0. 0.26AG 85 8.0 40000. 0.28SUd INFI '-8000. -0.347

Aii4CNAFT SURFACE CEFLECTIOt, i STRESS Ar LAYER: ASBS -Toil LkW row TLW LRW TD~v

s.-I011-1 0.16913 0.1.4J45 0.20628 3C.6 Zu.0 30.5.0.079C6 0.06872 0.0,9i18 32.4. 2 27. 5 380.8

I4CCCL PAVEMENT: CC/LTS PLC L2.0 4000000. 0 .1,2 - .

LTo 6.0 200000. 0.23SuM INFI 8000. 0. 34.....

AAACRAFT SURFACE DEFLECTION, ki STRESS- AT LAYER4 PCC -IC. LkW To'" TEN LRWi TD%A.-011-1 0.11115 0.09778 0.14462 388.8 330. 8 46 47.6-

0.03510 0.02108~ 0.04264 326..1 279.2 389.8

20

r'* . ANGt ENGINEERING UhSSLLTANT MnPRT

SENSITIV17Y ANALYSIS GF AIRCRAFT L-1011-1

OESIGN CHIART1 - DELCTG CRIERI

AIRGRAFT3 L-1011-1 WEIGHT& 388800.

PAVEA4EhTS ALNGR ASrOP e.C 200000. 0.23AbdS **'* 150000. 0.24S~jUI 8. N00. .

f Hku.r./kALUE

3000. 5000. 9000. 1500J. 21000. SQ.

V. U.'ul3C! 0.31089 0.19b14 0.1L.310 C.1C459 0.075J71.0 J.4317% C.2b2b9 C.17035 0.11950 C.09393 0.06716

Lv.o 0.3SS87 0.26228 G.16327 0.Ll.29 0.C8o'.8 0.0616913.u U.31'4CE 0.24644' 0.10395 0.1C425 0.08183 0.U5847

4t. .35265 0.Z32ib 0.14613 O.US5ko 0.67795 0.0513L V.. o .33383 0.22123 0.13532 0.G94e51 0.01478 J . U5 367dd..e ~J.3111.i Q.jlI36 C.13374. 0.CS160 0.0250 U.05235

*U 0.1060 0.20287 C.12SO7 0.4085G1 Q0069 0.0514Czd.40 J.ZSICS 0.1529 0.12451 0.016q.5 G.C6890 0.0504CJL.0i 0.27543 0*l~188 0*120'3 0.08396 0.06710 U.04930J40ij s.2t$41 0.18144 0.o11701 0.08160 0.06538 Q.C4di0

3 0. Q25131 0.17521. 0.11341 0*0)933 0.04369 0.047113 '

.141 l ANG, ENGINEERING LNSliLTAN MOFRT 2

SENSITIVITY ANALYSIS CF AIALRAFT L-0L1I-L

GESIGN GbART - STRtSS CRITERIA# LAVER AS8S

AIRCRAFT: L-:LOLI-1 WEIGHT3 388800.

PAVEMENTS AC/NCR ASTCP 2.0 200000. 0.2.3AS8S L~* 50000. 0.24AGOS 8.C 40000. 0.28sue INFI

3Co0. suuu;. 9000. 15000. 21000. -35CUC.

4.. 149.1 134.8 119.4 10.3 100.4 91.87.0 145.3 12)l.' 113.7 IC1.7 S4.8 86.2

10... 124.2 108.9i 93.9 03.1 77.U 69.5L.U 104.2 89.9 75.9 66.1, 60.6 54.0

&G8 a.1 7*. i 62.1 5 2 * 48.0 'e2.O19.0 15.6 03.5 5L.? 43.2 38.1 33.1

A. 66.0 54.d 4.3.9 3o.L 31.d 26.19..V S.4 48i.0 38.0 30.1 26.1 21.S.00 5i.4 42.7 33.3 126.6 i2. . 3~Jiw 41.5 3d.5 25.7 23.4 19.9 15.6

b4.U 43.6 35.0 21.8 12C.9 17.6 lj .5.0.0 40.2 32.2 24.4 18.18 ISO? 11.5

21

liJl t.. YAhG9 ENGIhEEN4NG CGhSLLTAI AY

SENSITIVITYANALYSIS LJF Alk .KAFT L-IOLL-1 _

ATIl, AIRCRAFT TR4AFFIC MO0VEMENTSS TA TIh

I-ALILITY SERVVR FURECAST FALCM-70 L-I0II-L

.0 2C FAMSUC, G.- 30. ICA:1.825E 06 ___

LRk:1.825E 06TOP~:1.825E 06

Ko I > 2C FAMSUG 30.- 60. Tc~h:L.825E 05LRk1.82ZE 05TUN~: I.8415E 05

Ka 0 ~ 2c FAM~SUG 60.- S0. TUk.:1.825E 04LRo.:1.E25E 0'.10&.:I.825E 04

Ai . a 2C FAMSUG 0.- 30. TG^:I.825k OoLikh:i.825E 06TUN: L.az5E 06

6~n .25 20 FAI4SUG JO.- 60. 10m; 1.825L 05LRh:L.6Z~oE 0570h:I.825E 0 5

a) 20 FAr4SJG 60.- SO. TC%:1.825E 04iLRk:i.825E U4TD*:1.825E 04

Ia i 2O FAMISUG 0.- 30. 70#%:1.825E 06LR3.:L.825E 06rjik:c.0

1A 20 FAI4SUG 30.- 60. TC.n:1.8,e5E 05LR'vt:1.825E 05

[A ON z? F AMSU G 60.- 1W. TKh:1.625E 04.LRW:L.ai25E 04

1. Lip 2C FAI4SUG 0.- 30. T0is:I.bZ5E 0OcLRN..Z.825E 06'- - - ..-

To L!) 2c FAMSUG 30.- 60. %o:1.8,e5E 05LRl*:L.825E 05T0D.:C.0

to L5 20 FAMSUJG 60.- 90. TG:1.825E 04LRk4:1.825E 04--

C. YA,.v6. ENGINEERING LOiNSULTANI OPit(iT -

SENSITI'VITI ANALYSIS LF AIILRAFT L-ILL-1

ijPcRATIGNAL AIRCRAFT hELIGbTS

AlhkCiAIJ CUCE R4ANGE LGO FACTUR 1W.v Lki% TU

L-IOIL-1 L014G 38800O. 3"200. 48.3UO.

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Zi04 00 c .L Na 00 00 P OkiN-00000 00 00 00 0U. 11160 - l-0 C t 4 3Q o 0 D..0007M ft- I 0 P fl

uo W -1UU in00 -0 00 .4 ., 40000 44 4r

w2 ~ f"0f 'n-oAI. 0 IUIUU .fmviiIl qrUaAw'woAIv

3. 14 x 91'A f. %PQ AA" m INN- ~ a A 1V0i = idi.- .0 0,A

In 33 63 66 33 34 63 %J 4

49 z I nM nmv m00i

128 In WI

&A9

X *

I Ej

vw w

Li I- o .

'0 le: o.

.14 6,. 0. *

CA Ini1

-4 C-7 00 0 0U00(I 0 L 0 0 ' O x

(3 .3 li* ULU.~

4t 6 - 0' 49 W

0 Eu 94 -4 .i.4^3 C3 0AL 06.3 -30 0(3(0( 3 0 (00 (2 f3t.

Q 4A t4 0A (A4 " m tlA % L n VL#0 0 vw %n in L41m

U- . 0 1 C; IL. U:;0 I. . U. W.U. U. 6LLI.IV. 6 k %WIL IL U.. U. .L U. U.I* ( IA -* V3 * Z W64 X

k4 wa j x. :*I-Aj- 6-4 . .. Li

4j j -a -j. -j -- A-- j -1 -4 j- j - La Ijt IA -At j 3: L 5.

z LU 6- 3o. 6-c L4 ' 4A46 0 0 0 0 ^ LainAlU ' A-AAIA 9 ".l 1*l 49 -9 4A -A 4A3 c ,- -o N. I- b I-- - o-o - - P-- - I-I- -I- o- *% 1% %N-I

4 of . -4-44 - "3. = XcX~ x .2Lz x x L Xz xW z le le6o- IL L 2 -9 > - -- --A --- -%A- -- 0012000.00Q0 .0 0CLI LIO- U 0 3 132~.JJJj .... JJi

19 --j -j IX aO O

6- II. ta. 41 9 I 1 9 ** 9 * 9 9 9 9 .

4n .2 .3a L QL0000 000000Q !:000(0 O00awiox t- W) t.iA4 0000002 000000 00000 00~ Oz0000

6-2

lb- 1- 4- .2 -4 -d *.V''t *..?d1.? .4.o~ 14 4

AJ.aJ w w w -j w UIJW aA -JJ4Uw w(3 WWWOOO wwUJm 0 Q WuuJO WMWO(302AQ I c

z t0 0 0 0 a0 0(00U0 '.2000Q 0 v t 300

#A U(3 99" 9 99 99 m9909ainQ9e 0 en999 1"9

14

9 a x

4vA AIxU 49~49XX Ej A~ ij9 x xx9 39 v it x

29

AP'PENDIX 1 OS 360 JOB CONTROL CARDS FOR OPERATION AT TCC

The program set-ups consist of a single procedure, MLGPAV. Theprocedure may be stored on a permanent data set and referenced throughuse of the PROCLIB DD card. If not stored, then an instream procedure oncards is necessary. The following is the deck necessary for executing theMLCPAV program at TCC://JOBNAME JOBIns tream procedure or //PROCLIB DD// EXEC MLGPAV, TIME.MLGPAVl15O//MtGPAV.INPUT DD*Job cardAircraft data group

The procedures assume the load module data set, DYLM and the defaultinput data set, DYDT are on a single removable 3330 disk pack D0012. Severaltemporary data sets, as required, are allocated on any 2 available scratchpacks. The temporary data sets may be placed on the pack, D00012, but thewall clock execution time will increase due to arm contention.

JOB CONTROL CARDS

//MLGPAV PROC//MLGPAV EXEC PGM=GOL,REGION=290K//STEPLIB DO OSNAME=DYLM,D1SP=SHR ,UNI1T=3330,// VOL=(PRIVATE,RETAIN .. ,SER=000012)//FTO3FOO1 DD DSNAME=DYDT,DISP=SHR,UNIT=333O,VOL=SER=DOOO12//FT04FOO1 DO DDNAME=INPUT//FTO5FOOl DD UNIT=(SYSDA,SEP=STEPLIB) ,VOL=(PRIVATE,RETAIN),// SPACE=(CYL,(2,2)) ,OCB=(RECFM=FB,LRECL=8O,BLKSIZE=800)//FTO6FOO1 DD SYSOUT=A//FTO7FO0l DO UNIT=SYSDA,VOL=REF=*. FTO5FOO1,// SPACE=(CYL,(2,2)) ,DCB=(RECFM=FB,LRECL=8O,BLKSIZE=8OO)//FTOBFOO1 DO UNIT=SYSDA,VOL=REF=*.FTQ5FOO1,// SPACE=(CYL, (2,2)) ,DCB=(RECFM=FB ,LRECL=80,BLKSIZE=800)//FT09FOO1 DO UNIT=(SYSDA,SEP=(STEPLIB ,FTO5FO01)) ,VOL=(PRIVATE,RETAIN),// SPACE=(CYL,(1,1)) ,DCB=(RECFM=VSB,LRECL=1284,BL(SIZE=2572)//FT1OFOO1 00 UNIT=SYSOA,VOL=REF=*. FTO5FOO1,// SPACE=(CYL,(1,I)) ,DCB=(RECFM=-VSB,LRECL=1284,BLKSIZE=2572)//FTL1FO01 DO UNIT=3330,VOL=SER=000012,// SPACE=(CYL,(2,2)),DCB=(RECFM=PBLRECL=80,BL(SIZE=800)//FT12FOO1 DO LNT=SYSDA,VOL=REF=*.FTO9FOO1,// SPACE=(CYL,(1,1)),DCB=(RECFM=VSB,LRECL=1284,BLKSIZE=2572)//FT13FOO1 DO iN 1T=3330 ,VOL=SER=000012,// SPACE=(CYL,(2,2)) ,DCB=(RECFM=FB,LRECL=8O,BLKSIZE=800)//FT14FOO1 00 UNIT=SYSDA,VOL=REF-*. FTO5FOl,// SPACE=(CYL,(1,1)),DCB=(RECFM=VSB,LRECL=1284,BLKSIZE=2572)//FT15FOO1 O DUMMY

30

//FT16FOO1 DD UNIT=SYSDA,VOL=REF=*.FTO9FOO1,// SPACE=(CYL,(1,1) ),DCB=(RECFM=VSB,LRECL=1284,BLKSIZE=2572)//FT17FOO1 DO UNIT=SYSDA,VOLREF=*. FTO9FOO1,// SPACE=(CYL,(1,1)) ,DCB=(RECFM=VSB,LRECL=1284,BLKSIZE=2572)//FT18FOO1 DD UNIT=SYSDA,VOL=REF=*. FTO9FOO1,// SPACE=(CYL,(1,1)) ,DCB=(RECFM=VSB,LRECL=1284,BLKSIZE=2572)//FT19FOOI DO UNIT=SYSDA,VOL=REF=*. FTO9FOO1,// SPACE=(CYL,(2,2)) ,DCB=(RECFM=VSB,LRECL=1284,BLKSIZE=2572)//FT20FOO1 DD UNIT=SYSDA,VOL=REF=*. FTO9FOO1,// SPACE=(CYL,(2,2)) ,DCB=(RECFM=VSB,LRECL=1284,BLKSIZE=2572)//FT21FOO1 DO UNIT=SYSDA,VOL=REF=*.FTO9FOO1,// SPACE=(CYL,(1,1)) ,DCB=(RECFM=FB,LRECL=80,BLKSIZE=800)f/FT22FOO1 DO UNIT=SYSDA,VOL=REF=*.FTO9FOO1,// SPACE=(CYL,(1,1)),DCB=(RECFM=FB,LRECL=80,BLKSIZE=800)//FT23FOOl DD UNIT=SYSDA,VOL=REF=*.FTO9FOO1,// SPACE=(CYL,(1,1)) ,DCB=(RECFM=FB,LRECL=80,BLKSIZE=800)//FT24FOO1 DO UNIT=SYSDA,VOL=REF=*.FTO9FOO1,// SPACE=(CVL,(2,2)) ,DCB=(RECFM=FB,LRECL=80,BLKSIZE=800)//FT25FOO1 DD UNIT=SYSDA,VOL=REF=*. FTO9FOO1,// SPACE=(CYL,(1,1)),DCB=(RECFM=FB,LRECL=80,BLKSI.ZE=800)//FT26FOOl DD UNIT=SYSDA,VOL=REF=*.FTO9FOO1,// SPACE=(CYL,(2,2)) ,DCB=(RECFM=FB,LRECL=80,BLKSIZE=800)//FT27FOO1 DO UNIT=SYSDA,VOL=REF=*. FTO9FOO1,// SPACE=(CYL,(1 ,I)) ,DCB=(RECFM=FB,LRECL=8O,BLKSIZE=800)//FT28FOOl DD UNIT=SYSDA,VOL=REF=*.FTO9FOO1,// SPACE=(CYL,(1,1)) ,DCB=(RECFM=FB,LRECL=80,BLKSIZE=800)//FT29FOO DO UNIT=SYSDAVOL=REF=*.FTO9FOoI,// SPACE=(CYL,(1,1)) ,DCB=(RECFM=FB,LRECL=80,BLKSIZE=800)//FT30FOl DO UNIT=SYSDA,VOL=REF=*. FTO9FOO1,// SPACE=(CYL,(1,1)) ,DCB=(RECFM=FB,LRECL=80,BLKSIZE=800)//FT31FOO1 DD UNIT=SYSDA,VOL=REF=*. FTO5FOO1,// SPACE=(CYL,(1,1)) ,DCB=(RECFM=FB,LRECL=80,BLKSIZE=800)//FT32FOO1 DO UNIT=SYSDA,VOL=REF=*.FTo5FOo1,//SPACE=(CYL,(4,4)) ,DCB=(RECFM=VSB,LRECL=1284,BLKSIZEu2572)/1PEND

31

APPENDIX 2 BASIC FORTRAN LISTING

A2.05 SUBROUTINE NDT3Compute NDT inventory file

A2.06 SUBROUTINE CALC(l)Compute Poisson's Ratio, and aircraft operational weights

A2.07 SUBROUTINE CALC(2)Longitudinal and transverse wheel probability distribution

A2.08 SUBROUTINE PAVDESEquivalent single type aircraft operation and unit priceof pavement components

A2.09 SUBROUTINE PAMForecast of aircraft movement for equivalency computation

A2.10 SUBROUTINE HDESLimiting stress and deflection in pavement thickness design

A2.11 SUBROUTINE PCVCALCompute present cash value

32J

A"-

II

A2.05 Subroutine NDT3

.. L4C L.', J I ,TSEPAVI'JZ]FIK :: !P L J)IG: 1? 600

104 ,: = . '<O'. . L (K , 1L:)/S VAL IJ

i ]F z.LT . kill( 1 11 -,,'j TO 520IOL :V=PFL-SGf! )*.75

GO T.) 54

I r ( oZ - .T. ,,Z h( I 1 )(;(' TC 5 0.IlL EV=(rFL1.:G(IJ- iFLZS(i 1-1) 1* (IJZ-IZH(1, -1)|11 +/{ ; IZli , I)'-'LtH(, 1-1) 1.FFLlSG(1-1

lli '3. T: 541.I12 5 ": '. C., T "{J.,

lA ['=PFL$" (,j'FL S;'j I 1.25115 5". 1 t Y)," '4 1 J I . Eu.A,q I' G C T C 55 011L-. iS=J

117 u1 1 S;4' ,V4J1T,2 " I|'A.V( it )=.S.VV L(J) :

lF 1: V4 LLD J II --

12,.2. ': T'.3 5o'..

.22 :5' I . ,L..PAV 4J

.114V( J )=' VL J I12. rC L,.U J I -V

_ . .,I1 7 it I Z .I .. ,T."FLLSI,( 1 ))GJ TO 5 7

1 : C, ," ',:A,( 1, )-.L'-(,. ,I"1 )) *1 LSJ[7 I S) PFL _2SG.( 11))+ , .. ,( .l 5 I-PFL3'S,( 1-I )+wZH( , 2-1)

Lu

17. 1 L1 1 ,S .tJ 5I 7 5Z.,, 1h 1 " HT 1L 1' 1* "J -P L-" 1 1

i: ./+'- ,: ( .,:(L'3 ,)-.''3 '(61 H I,,F L. S' -. I}-4ZH {I N NF L SG Ii" 7 V; , ''V ,S :- " AI I J I:. / .. I

33

-4

A2.06 Subroutine CALC(1

123 C **APY

124 APY (I )

1 2 7 1 F(.,iIfLXIJ. 1 ))G TO 42L^lib APY(T )= AY( I +Zx ?(C(IHLY(IJ)/(12.*45OJ.))4*2/2..-

12 ~420 CC1;711lUa1

F0 AC .i J.

C' ~ ~ T 4440r,

1%FAC T 1- ( JA= FAZ TCR( I , J+1

43c Y= UZJS ( I J)/WX **2WiK=1.. 57 c.,* ( i.+.24YK +-1 .*YKC*2+T 2* YK**?4

144 F IF ;1=.?,/3 14i 59*JX/KAD ILS ( I ,j 3--( ~1-Y K)*WKJ145. rAC1;>41 , J) =IACT~ik ( 1 J) FfIRM146 4C %I; I iilj.~47 45 L..I;,4-14 2 t.I Y ( I )AP Y 1 J4.0- 115 7CADIUS (1 3 12.

1 1;4 :L LL ,1

W >i ~ .0t~2'.:,X1=S Qi C 13 C 8371HE CP WG 1i A .IA C I D 5)/A RC 10 6))C -:":C APX

- ~ C2 5!),) K1- .MiAN

1 ~ ~ F. 5 5'5) LA=1,M TYFC7

i5~-if (I.La*.(-)C-C TO 5it0

16 i 0- 5K3 J=13

Ji, , L =4PX I ,J9 Li 5hLlQb~ N4 L. X N 0.X A ,Ij)(!.*i I)( KLAt *2

jL 9( P', x Ij, ) L I'X I, 3 .2 h'Af .:')I1US( IJ 12-12.,BANN(Kt LA)

34 .

A2.07 Subroutine CALC(2)

56 C -,'- PAVL C(.! " LAYE57 CC 251 1=,. NIAVL

5s K '5'., =l,N

6! -( L'% Y !J,( IJ,#I .,.NL tY (KI )G G T C 2 40

6I 1F(L YI:( IJ,2) .:d-.LAY(K,2))GC. TO 2406 1 LAY:.- X ( I , JA =K

1A IF( F v.,L ( I ,J ).LT. 1. )'VAL (I, JI=VALAY(K, 1)65 IF(PZIS(I ,J).LT.1'.C PCIPCISI,J =.65-.08*ALCG1(EVL-,j))( : G I, Tuj 2 5 667 24 C!'T I !U.

6p , kCc;T;S5 0'', C LIT,: : U7

7C 2U.) Cf T I 'i1E71 C AI C C C T(W72 U., 255 I= t,','AIA C

7 3 l,.L V I)=0

75 255 C 1T I U._J76 fn, 21,. K 1 , : P CT77 1= I AI - (.,, )7,6 If( I.L ) C TC. 270

8.1 t I\ ,.K,. , ) 3 I ['LA.,., II; T% 26 1

61 LF, AN, -K I II) )= " .1 { I 11)L '0 A " I , 2)

b (L;:,. (K,1 ).',,:..M A:.,,L(J) ) O TD 2o2; '" ! .:,/'"!h..( I ) =J

-L T:; 2...8 7 26? CL;-. i I ;!.l-

S1 .LF( i)=I1 F( L L F KL) .:iL (2) LF( i =2

91' t =I .. i )

92 1F (I.A, (K, ) E . I JL A,.K. t..lb. 1'.,a J, I L) .GT. 1., + . ANC[.1(.' 161 (K,1 I .. T. . .ttI-K,)=MALF({)

I FT, .,.J, I, t .. 1. . ',. t Pi:CT (K,1 ).LT. 1.)0PV.GT (K, 1) =AIRC( I,1)'' If : (, I!.L i .6 i (K, )=T0 ( J, I, LI

I V (. (, K , .- . t',Pi,-'T(K, ) (A4 ,( ( P , 2 -AI RC( 1,3))97 +' ,(..,',.,l ., T C -Ai.,.I I ,- J )/ AIF, . )-;, 1 -A C ( ,3) ) +AIRC( 1,3)

IF , K, L I. .I L PW C;'I(K ,3 = . 5 L'P'.GT (K, 2),0 '" C..-VTI 4U'

35

A2.08 Subroutine PAVDES

350 1317 E LAY=.'VAL (KMv IHSA) .. ~ _

351 L60 T =EV AL ( Ml vNL)35? 1318 CCN STA=VALC(K3,2)*SQP.T(LLAY)*VALC(KBi,3)*(l1.VALC(KB,4))353 DO, 1330 1IA=1, NOPWGT.---------.

355 IFLI.LE.O)GU TO 1330356 UL. 1320 J=l v3357 AtS(IJ)=-(At8S(STRFD(KAA))-ABS(STRFAM{1,J)))/CONSTA358 1320 CLN'TINUE

360 ANS (24)=0.361 DL; 13 50 IA=1,NjPWG"T

363 IH(1.LE.0)OG TO 1350364 DO 1340 J=1,3365 FACT R(1,J)=IZFAM4( 1J)Pi'Wb{1I9)......-..3 )61 PRC-SS=.IR C (1I6) *FACTOR( 19JA367 IX= 2. *Pi ES 51'kA DIU S( I, J ),%VAL C (KB 10) /E BOT368 D4= 1. /VALC ( K13,i................ 9.. 6).3 69 DLDL.F.J,-*(1.-D4)*wZFAM1(I,J)*D4*VALC(KB,7)**C-D4)37C AND (I r J)=DC.DEF17 1 1340 C UN T 1 1U E .- ... .. -.

372 13 ;), C C N II NU'373 FALTuJk.C20,1)=W ZFD(KAA)/IoLWFO(KAA) -

374 . PkLSS=-AIRC(If),6)*FACTOi.U20,1). . ...

375 I%;2 ,,'--S iA IJS 2 , ) V L ( g l ) E O376 AidD)(23, 1)=W.C**( 1.-D4)*WZFD(KAAJ**04*-VALC(KB,7J**(-D4)383 DID 1375 I=1,MPAVHQ . . .. . . -- - -

384 Ii:(IPAVLUI).E .XiCL)GO TC 13743 U5 1V IPAVL (I).GT .ICL )GC T L 1372Z

387 IL=388 1372 11,L = ICL #3813 IE(1FA%1S(ICLi).LE.0)GC TO 1372 . .- --

390 R EA J( 9) 4 ( I iA sJ ,A PAW( I A #J),FAC T CR(AJ)9IA=lt20),J=1,3).i91 If-( PAVL( 1).NE-.ICL)GO TC 13672392 1374 W IT-=( 12) ((A( IA sJ, ANC( IA J) FACTCkI A J) IAlI 2D).J;:l 3l393 i1 CrN T Ir'U2394 rNUi1LE 12395 REW1J12 . . -. . . . . .

397 P .lID1 L18* 398 JP -FINA.'6) .

* 39', ,AC =( F I NA 4) r~A3)-F INA( 2) 1 -F I NA ( 2)F INA( 3 )+FINA(4)I4~00 I'C.VA iC=FLLOAT ( *SLP21 ) * ( I , 'j.LIA ('SL.-2 *ASCM/2.*.401 +*( 1 . 4 FLOAT (NSL '- ) :4ASL.M//3. )-. . . . .

40? AIf ivN.l.-1 ./( 1.41-INA( I)

36

A2.09 Subroutine FAM

90 O"., '15 J=l,:C, I Ai.SA 1 ,J 3- 0. 1 AN$ 1 ,J)/ jU |S F I ! + 0 JLC, I TY P)

92 415 CL? T I..U.93 0)" 4?1) Jzi,3

S L t. ";ST 2.A

95 C96 1 UL0=V,Jl; ( L%C, ITYP l/( 1.+D (LLC, I TYP)) ).97 . VV=D ;:,V L ( LfjC, ITYP)+6,;, -( .-;':;)

A X X = . - ,. CT 6 .,II , J ) + X,%L Z ! I/ ,b l 1 ,I J)A A K z C G T / V V "; ) . ( L UL C , I f Y P ) / S G. T ( ,%; R C ( 1, 7 )

l1:.J V. AI:±" .:K'( VALC( 2 , 5 ) * LL'S1_7( I '/VALC (KP, 6)));!C : i%,K*S R T(XX*,RADILS( I, J /1 .

1.92 L A'au H I, J) = 3:- I/A".AD( I ,JIt. LA hD AtIJ ) = 1 (* 11¢{ I' D IvJ)- ,])20, v1)I/"NO IJ)

104 421 C ;(N T 1 N. -30 5 L 1-( K P;V( K H) LE.1 ).4RIT lc t6,4( ),'jl(LOC I I T YP ,V E L( c , I TY P , I . .

1l'(. C +(F;CT.F.( I, J) , J=! ,3) ,X) ,Z ), ( .' V I US( 7,J ,J=t,3) ,AIRC(I,7),1-7 (C +VALC(KP,5,V;LC( I'P,6J

ILS C 4t FC.K.yIT (X, ?1 i .425 C;r', T I I!U E

i r X C Tr L\C TLL 12C , 1) X. ! .) /F ,' Z( 11 C ", 1 )111 K-=L ,.S T/ VV: '.I ( LOC, 1TYP )/SRT 141. C ( IL, 7)

117 C - "(VALC 0P, 5 * LCG10 (AK/VLC K? 6 l1: 3 12 1). LZ ..;:K ', .X .3 S 121", 1 }/i2.

114 C AW;,L 2', I =().J--Ci i/A' D( 2%;, 1)

Ill C F( K AP-VI KP) .LF. 1)17 1 +,T2 6,K.) 3 (A.4: A 1,J),J=l,3),1= , II

11i. L I F(KP L ,C +..7 1- 7:(t,, " f-AiTIl ZD,1)

120 F C F k r T ( i.9 ,I P 13 5)121 V: 6". =l,lSTl

121 C ;=. 4 A IC

12 4 C F(I.L. : )GC TJ '/'tC1^5 c L -:C J!,3126 C ;. t L (T, .I .- ,127 c D- t];. ':i,, I',.).LT.0.CC 1GC Tc c

I... 1 + 7

I .. I.:

1 . I, 1 .I 1 . T:'.L,

13?; - ' . . J ),.

J K v. I J 1 J. (K,)' j I .P X

37

L..t

A2.09 Subroutine FAm (cont'd)

!-,! " S .k,,-")V (J) = S EC FK-V ( JA + A TM ( K t I A t A) * AA S A ( I J ) *A P X { II J I AM |

4o( 1 N UJ147 0 " t.' "+ .' ;

144 ~~ ( .;.. 1,J)=(,1" t I-( ',; .[T. ) .t.S (] tJ) =AT (I(K I t A )*ANS ( ] J)*APXI IpJqt APX)

146 +*APY( 1)!I, 7 1 i.{H G. s 2 ) S;-e V( J) SE.CMrV (J)+tTM(K, I A,, J)*ANSA( I -J)

$

1t +,-.'X (I ,J I;.P,<)*APY( I1 t-,,, . L 1: 1 J.15!. A. NS( . '1'(,) L.

i 5 C **A.N 0

15 DC 4;, J=!,37 ' L) V J

'.1) , J * -= . -P-G....T. . ..

Ib4~ F 1,. L L ,L, T=A0 5 1 CCIS£C

1 5., J= (-- .,, 2... ................ ..

L (>

r5 '. '73*l,3 1 I+/ f: ,CC L Z) IIA A I J I P A)

:: I J"q.IA.PXL

17 S = U .C 3

1i {7 "?' j= ,

I V, At.;!C='.17 5. F q, PT' Z .; ;'C T , i v IA J IT ( GT r, . ..... ..... . ..

I 5+ L. L., z; ,LZ; T. ( 'T. ( K: IA 1 A F;(X ( Ii J, I 1'AP X) k )

i.6 + L( I, J ) r A ( :; I;; I ", *A ) .-L O'

lo .%T;, 1A J, II P J 4 ( I, J, 91APX } %YI1fA7 T;"" ' .J L ti.4'V I J ) :- MUD ( J ) 4.. .. . . . .. ..

171~ ~ ~~' Lr C "Ci+, ;:;

I7 qJ=K C I4)-.,'7!

C I. , L i -LG., 175 !Ft~i ,, L., • - AiCT :'i K , L ,J lC GTS " ''"1

T; Y .-'L "L'"; (} l;q(K'I" )+ FX( J "P ) x''PYlI . . ... .... . . ..

A2.10 Subroutine HDES

51 C *4*STRESS LIMIT

54 DU 1939 J=1NLI

56 +ALO'-GlO(AkANS(KtLCC)l)/(1.+DI(LOC,ITYP))57 STI4t.(,*LOCJ) =STRL(K,LCC,J)*VALC(KP,2)

* 58 [GVERSF=VALL(KP,1J........ ~ . . . ..

5s IF-( LC.GT .1).jV&=RSF=VALC (KP99)60 STRL(K(,LOC,J)=STRL(KLCC,J)*OVERSF*(l.-VALC(KPt4I )61 190O CONThIPJUE .-. ..

b2 IF(K.N.LE.D)GO TO 19763 NLA=NPSLAY(KtN)

65 DU) 195 Jl11,I'LAI65 J=Jl+NLI61 STRL(KLCJ)=SQI<(PSLE(N,J))'I.-VALC(KP,3)*.-.68 +ALOG10(AAf'S(K,LOC)))/(1.*-DI(LOCITYP))69 STRL(.KL0C,J)=iSrRL(KLOCJ)*VALC( KP,2).70 CVERSF=VXLC(KP,1 .. . .-. .. . .

71 IF (LtJC.'.T.)VERSF i-=VALC{KP,9)72 .STRLCKLLCtJ)I-STRL(i(LCC,J)*OVERSF*(l.-VALCIKP,4))

73 195 C CNI INJU . .

74 C *** WLL75 197 CC*,IST=2.28

*77 X3,-.6,F-ACT .'(2.j,l)+X.N1Z(D)/RADIUS(2091)7 u P P.E SS= A I F C( 11), ,6) * FAC T 0R (20 , 1)

7 oDD;=S2RT(DI(LuC,ITYP)/(1.o.DI(LCC,IYPf)......-.-...8cVv= CL):VL (LCC ITYP) +60 *1 .- DC

* 1 AK.C(:Sr/VV*DI(L0,ITYP)/SQRTr(AIRC(ID,7))82 c WR TE (6 20) K11,AK9VALC(IKP, 6083 L 20 FURMATMI,15,2F10.4)84 AAK=10.*4.(VAL.C(2P5)*ALCG10(AK/VALCCKP,6) ))85 Dij= 12 .*AAK*SwIT (XX*RAD ILS(20# 1)/l 2..-86 EBULT EVAL (KM9 NL)87 IF (KA4.GT .0 ) -L;OT=PSLE (KN .NLA)88 2. *Pe ..*-A I JS 20v1).-C K 0)/ B

89 U*' VL P w* - L K90 YO IA DK LL-C ) L';. 10. L LLK , LCC) (DN-Cl )**VALC(KP 8)9)1 1 1I- ( A4*[(K LCC ) GT.1. .10.92 +WLL(K,LdC)=( f1-Cl )/AL;Cl0IAANV(K .LUC) )**VALC(KP,8)

*93 D4z-l./VALC( KP98)9', t)CL)Er=VAL(I(%P97)**(-.04) ..- ... ..

96 C WC:~ V jj 03 T7J LfL CALCULATED LATER97 L . ' SIICULA) USE ESUP .. . . ..

39

169 360 IST=IST-1 ..--.

170 370 Il=IEST+IES171 ESUP( K) =ESU~j( I )

173 NL 1 =4L-174 fl:UFSS =A I PC (T 06) FAC TOR(2 0 1175 wu= 2. *PR ESS*tl ADIU S ( 20, 1*VALC KP 1) / SUP (K.. -.

176 D3= VA LC (K P 7 J%*WO* ( IVAL C (KP 8f177 14 =1. /VAL C KP v8)1783 LOC2=2 . . -. . . . . - .-- -

179 IF(;4XSL.LL.l)GO T(_ 501 I

180 DO 373 LOC=19LUC2181 ILLI(KLOC)=D3tWZL(ISTLOCJ .- -

182 TANfiLJC)=AANU(ISTvLUC)183 TMN S ( K 9L 0C = AAU S I IS T L 0C)184 .DC 371 J=1dil.Ll . . --

185 STRLI'14(K,LOC. J)=STRL(ISTCUC9,#'* 186 371 CCIKTI N'E

187 l FlKI.LE*0)G0 TO. 373.. - ..-..- _

188 DO 372 J1=194LAI* 189 J=Jl+NLI

190 STRPLlIM(KLOCJ).zSTRL(.1STtLOCoJ). . -. . . .. __

191 32CC: TB'UE*192 373 LC l. T INUE

193 L * I*1NTERPCLATE -?VALUE . . . ....-.-

194 IF(ESUH(I1).GT.ESUBG(l))GO TO 375195 C * ERROR191- 375 L 3.30 [=29NE -. -.. .

19C,7 1 F ( SJ (I) .C .9k:SIBG (I ))GO TO 390* 198 HFE S j a( 11.) .LT. ESJBG (I ))GO TO 4 10

191; 380 LLN T I UE . . . . . . . ..-

20C C **t* F CP OR201 1 IE202 GU TO) 410 .. .. . . .. .. .

2C13 390 %C. 'iOJ. N=1,NHiG204 ( )=Z(,I

206 40U0C C-%T I NUE

207 Gu TO) 422

2 09 is/d= H N-(, I-W L 1 N, I- I)*E S U ( 11-E S UBG( 1-i121C + F 5 U(i SuG I)-ES U B G( I - I ) Z I I N 1 I- 1

212 4/(E StJ3G(l)-ESUBG(1-1))+STR H(Ni-lI213 423 C'LN T1N U C214 422 0-0~ 593. J~ls2 . .- .---

215 U C nLLI:-I( KJJ.LT~ovJZ(M1) C TO 425

217 GU TO 460-

218 4 425 DC 43J) '=2,N:,G219 IF(,.71LI1(K,JJ.GE*WZ(N))G0 T0 450220 430 LCU'T1.AUE

40

221 HOES(K.J)UHVAL(Kl.21.I4VAL(Kt3)/29222 ICR ITI KeJ )=-I

224 450 I1OESI KvJ x(HGRID(KM24N)-i-GRIO(KM9N-1)* WLLIM(KtJ)-WL( N-1))225 Iw-h4-.ll)K4N1

.?2C6 .460 I-1PAVHS(Kl) -

221 1F(KN.GTO)1ItlItfrNL1228 IF(STERLIM(K*JoIH)*LT.STP(1J)GO TO 465

23C GO TO 480231 465 00 470 tiu?.N~lG.232 -.. .. -IF(STRLI:I(K.J.IHJ.GE.STR(N)).GO Ta.-.75.---_--_--233 4 70 C ONT I 11JE23-; 14 0FS (KJII xH VA L(K'4,,2 * V AL C K M, 3j2

236 ,GO TO 51.)231 475 H=(ttjklD(K,N)-l4%'RIDlKM.N-1))*(STRL1.9(KJ,1H)-STR (N-Il)

-238 .. .*/IST;LN)-STIlN-1))IGRlC(K~tkl-1). --

23 C 480 ICPIT(KJ)z-l240J IF(ItJESIKoJJ.GT#H)GC TO 500.241. - HUES( KJ)=H ..-.-.--.-.-.-.---.-..---.-.- -

242 ICR IT (K 9J Ix243 S00 cc(JT.I;IuS.244 GO TO 510 . ~-... . . ...

245 501 IP-IPFL(11l24C6 IF(ESJr(K).GTePFLESGfI))GO TO 502.247 w1( 1PI))=44ZiLP 11)+* 2* 1L I lp ) -4LI1UP 2)l......248 STflIP)STRtHIIP11)*.25*(STRH(IP,1)-STRH(IP.2)I24'; GO0 T 50425C 502+ DO 503 1=2#NFLES3- . .

251 IF(ESUPlK)o.GT*PFLESG(1))GO TO 503252 hZ(IP)=(kZlitiP,1)-WZH(1Pol-1))*(ESUP(K)-PFLESG(1-1))

2534 S/(PES)PTiG(II-1))4~ZlPi-1). -.... FES(I1)

255 ./(PFLESG(I)-PFLES;(I-1) )4STRt(IPPIl)256 GL TO 534 ~ . . . . .

*257 503 CON T I' U E258 lvZ ( IP I='%Z H P N F LE SG 1 2 5(W L H IP N FL E SG 1-W Z (IP tNFL E S G.255 P I srI P) = ST Ri( I o FL ES G -. 25 * IS TFHI P 9N F L SG-.1 )-S TRH. I.P vN F L ES G I260 C 504 UCDEF:,vO**().-D4)*t-L'(lP)**D4*VALClKP,7)**(-D4)

22DCEDEFuwU*13.***404*ALCGOIDCD.F))... ...

263 TAN0(%.,1)vAANC(IST~j)264 c T A ND(o ~2)s3. 10 C Z L 1Tv 1 0 J U k F265 . TA'NC( 2)u (WZL(ISTo 1)/)CLEF)261, JF(TAN D(K,2).GT.30).)TANClK,2)=3O*267 TNl92r1.*4DK2

71TAP;S(Ksl)rAPA,,S( ISTol) ... ..

2(", 1 ~if -:Ills( I P)27(. S J (Y= VAL(, IKILL)I*( I.-VALC (KP #4) 1*V ALC (KP 9 )*SQlT (E VAL I P 9IH) J:'71 sa, Y= SI 1, I . 01 i y27? ( TA"Sf I%#$) 1IU.*A( (S!G'Y-S IR 11,1 )/ (VALCCKP,93)ASIGYI)

.274 TANS( Ko-2) z!h.*TA%.SlK#Z . . -

275 51 CO o £~I IuNU

41

A2.11 Subroutine PCVCAL

I~ ~ AY -" I ,'A

4', L- H. 4Y C 4., . )4 "/ *J'. " A1 . VA. C ( , ,2 ) ... .. ...E ('..I PL ).*. .L ILKP ,4) .• ,,,.'

-." "............

.. ..T

L C•/', I i "(;,. ,. • .-.---- : S!+,, Y -.'{ .'I| - .- - - -- - - -. -.-. -

, I:FV VIP. t))

, K., (L ". LA LC ( ' L TL )'NI' ,

'.5, flL - '3. 2" . .. .

IV

5 ": Z.'..%I . !J VL ( l }:'jr. ) ,S¢¢ V V L TF.-,' S l 4.1 ) T-AS TR i {K tL3 4 ,

42

_,, _ - - -. ,."b I .',it K, .C } :: :' C:'U4 5.L