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IntroductionThis conversion are done by the following formulas:Definition in worksheets:1.grid_local - means UTM-Grid coordinates using Ain El Abd Datum (International 1924 Ellipsoid)International 1924 Ellipsoid2.geo_local - means Geographic coordinates using Ain El Abd Datum (International 1924 Ellipsoid)Semi-major axis=6378388.000m3.grid_WGS84 - means UTM-Grid coordinates using WGS-84 Datum (WGS-84 Ellipsoid)1/flattening=2974.geo_WGS84 - means Geographic coordinates using WGS-84 Datum (WGS84 Ellipsoid)WGS 84 EllipsoidSemi-major axis=6378137.000m1/flattening=298.257223563Geodetic Datum Transformation Parameters (Local to WGS-84)DatumEllipsoiddXdYdZAin el Abd 1970International 1924-143-23671. The Geographic Coordinates conversion between Local and WGS-84 is using Molodensky method. 2. Geographic to UTM-Grid Coordinates (vice-versa) is using Redfean's method.The process of this calculations are using Visual Basic Program.To see the Visual Basic code of the functions - Menu=Tools, Macro, Visual Basic Editor,then view the code in "Module 1".Direct links to worksheetMap Projection CategoryPlane Coordinate System CategoryMiscellaneous1.grid_local-grid_WGS84ForwardR.C. Jubail transformation2.grid_local-geo_localInversediff angle conversion3.grid_local-geo_WGS84Parabolic curveadjustment(profile)4.grid_wgs84-grid_localTopo BS zero azimuthStationing(profile)5.grid_WGS84-geo_WGS84Transit ruleUTM projection map6.grid_WGS84-geo_localArea by coordinatesDatum transformation parameters7.geo_local-grid_localArea by azimuth and distanceFormulas8.geo_local-grid_WGS84Reference Line (or) Line and offset9.geo_local-geo-WGS84Multi-coordinates transformationAutoCAD Progarms10.geo_wgs84-grid_wgs84Coordinates transformationPlot Points To AutoCAD11.geo_WGS84-grid_localSpiral eastmentImport AutoCAD Coordinates to Excel12.geo_WGS84-geo_localTriangle solverDraw ERROR X Y to AutoCAD (Ref.Line)13.local grid zone transformationRight triangle solver14.WGS84 grid zone transformationCompass rule15.Area by CoordinatesCompass rule or Bowditch method16.Local Convergence_SF_HF_CFCurve coordinates computation17.Grid and Ground Dist.Super elevation18.Geocentric (ITRF) - Geocentric (Ain El Abd KSA)Spiral offset19.Geocentric (Ain El Abd KSA) - Geocentric (ITRF)Embankment20.Geocentric (ITRF) - Geographic (ITRF)21.Geographic (ITRF) - Geocentric (ITRF)22.Geocentric (Ain El Abd KSA) - Geographic (Ain El Abd KSA)23.Geographic (Ain El Abd KSA) - Geocentric (Ain El Abd KSA)24.Grid (ITRF) - Geographic (ITRF)25.Geographic (ITRF) - Grid (ITRF)

Import AutoCAD CoordinatesBack to Introduction Press This Button Then Select Object on Your CAD Drawing.

Draw Points To AutoCADBack to IntroductionDraw Points To AutoCADTEXTXYZCOLORRP110001000102RP21000.00091097.456310.08432RP3999.6081049.698310.05762RP4989.31751028.17059.70232CW991.19561002.554310.50552CW*BL987.96321001.602610.28772R1002.568990.28499.90112PP1004.3026989.56539.99212F1004.6743989.766510.00162R996.0081987.48819.79082R1000.2842971.7939.83522R1007.1808973.98169.92R1009.7867970.80339.8892F1008.3292974.98339.99672F1008.633975.24449.95522F1007.93761006.496310.12612F*G1001.73851030.110510.04842F*G1003.46781024.003910.0232CW986.29861020.19419.91992PIPE200F990.14971006.739210.20382PIPE150F990.26761007.88699.99662PIPE200S990.02781009.021610.26952PIPE200S986.22451021.723710.30022PIPE150F986.07351021.403110.23862CABLE990.44311009.296610.1112PC992.16321024.21019.72652PC982.70641029.73829.69942PC990.10861031.98099.70772PIER987.41671025.45459.71822PIER985.6131026.58339.72542PIER988.6111027.3879.70222F1007.20281036.53389.91382F1004.81751037.36479.91372F1002.39741043.21459.83062RW999.54441034.74889.9152RW999.15561034.44839.98742RW992.30361056.72518.13172RW982.32761043.23669.79342RW982.69211043.25699.53322BL971.73861045.353311.49712BL979.30081032.30610.94092PIPE200S1007.64991009.42889.98562G1007.0631012.513810.03892G1006.08651015.215410.04342PIPE200S1001.60261030.367410.15882LP1028.05461038.28589.85462F1024.99711041.475910.08362G1015.36211038.747710.06682STRUC1019.98381043.88110.02942STRUC1009.91951041.129510.01292STRUC1004.67021059.727510.08212P1004.84751041.01199.99432P1000.49521057.134310.31652CHAMBER1015.57151036.066910.03192CHAMBER1015.04721038.083310.0342CHAMBER1012.98181037.527510.03652PIPE200S1003.29021030.786310.23872CH992.35991031.516110.0412CH992.7321029.7610.04522BL1010.68221010.89739.87882TANK1011.90491007.69079.86372BL1008.20771020.043510.07572BL1017.76911024.610410.00982BL1029.62341029.092410.10532BL1038.06431031.47359.98742TANK1042.53991031.97339.91942TANK1065.32191038.18879.92282

ERROR X YBack to IntroductionDraw Error XY To AutoCAD (With Ref.Line)DESIGNAS-BUILTBearing Of Ref. LineTEXTXYZXYZ(DEG.MMSS)P11-01U232990.9792703858.925132.4716232990.98292703858.93132.469444.2158232986.5392703862.960732.4695232986.54092703862.964432.469444.2158232982.0992703866.996432.4717232982.09522703866.993832.469444.2158P11-02U232992.99812703861.152332.4022232992.99812703861.152332.402244.2158232988.55612703865.185732.4022232988.55612703865.185732.402244.2158232984.11412703869.219132.4022232984.11042703869.215232.402244.2158P11-03U232995.01012703863.37332.3297232995.01322703863.373532.333144.2158232990.56932703867.407732.3306232990.57122703867.40732.333144.2158232986.12852703871.442532.3315232986.12552703871.436432.333144.2158P11-03U232997.02972703865.594932.2603232997.02822703865.594732.262144.2158232992.58962703869.630532.2594232992.58632703869.628332.262144.2158232988.14952703873.66632.2586232988.14062703873.657632.262144.2158P11-04U232999.05352703867.820332.1892232999.04332703867.815932.189244.2158232994.61212703871.854332.1892232994.60142703871.849532.189244.2158232990.17072703875.888432.1891232990.15562703875.878832.189244.2158

1.grid_local-grid_WGS84Back to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Zone =39l0 =48to54Central Meridians of the zone =51

UTM-Grid (Ain El Abd)UTM-Grid (WGS-84)pt.nonorthing (m)easting (m)elev. (m)pt.nonorthing (m)easting (m)elev. (m)13,305,692.566620,723.944120.00013,305,708.020620,686.672114.15523,305,692.566500,000.00023,305,708.010499,962.629

2.grid_local-geo_localBack to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)Zone =38l0 =42to48Central Meridians of the zone =45

UTM-Grid (Ain El Abd)Geographic (Ain El Abd)pt.nonorthing (m)easting (m)elev. (m)pt.nolatitudelongitudeElev.12,842,468.569334,148.019125-41-25.25894943-20-50.24431422,843,867.528334,158.689225-42-10.72198443-20-49.99926532,843,938.742333,605.224325-42-12.81060843-20-30.11675842,842,676.153332,534.709425-41-31.34535943-19-52.294004

3.grid_local-geo_WGS84Back to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)Zone =39l0 =48to54Central Meridians of the zone =51

UTM-Grid (Ain El Abd)Geographic (WGS-84)pt.nonorthing (m)easting (m)elev. (m)pt.nolatitudelongitudeElev.12,842,468.569334,148.019125-41-26.98353549-20-48.62126422,843,867.528334,158.689225-42-12.44748349-20-48.37603332,843,938.742333,605.224325-42-14.53608849-20-28.49257742,842,676.153332,534.709425-41-33.06988849-19-50.668189

4.grid_wgs84-grid_localBack to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Zone =39l0 =48to54Central Meridians of the zone =51

UTM-Grid (WGS-84)UTM-Grid (Ain El Abd)pt.nonorthing (m)easting (m)elev. (m)pt.nonorthing (m)easting (m)elev. (m)13,305,708.020620,686.672114.15513,305,692.564620,723.946119.99912,842,468.569334,148.01912,842,453.643334,185.63822,843,867.528334,158.68922,843,852.600334,196.30832,843,938.742333,605.22432,843,923.814333,642.84442,842,676.153332,534.70942,842,661.227332,572.330

5.grid_WGS84-geo_WGS84Back to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)Zone =37l0 =36to42Central Meridians of the zone =39

UTM-Grid (WGS-84)Geographic (WGS-84)pt.nonorthing (m)easting (m)elev. (m)pt.nolatitudelongitudeElev.13,305,692.566620,723.944120.000129-52-33.31389840-15-0.364594120.00023,305,692.566500,001.0000.000229-52-54.62988639-0-0.0372820.000

6.grid_WGS84-geo_localBack to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)Zone =37l0 =36to42Central Meridians of the zone =39

UTM-Grid (WGS-84)Geographic (Ain El Abd)pt.nonorthing (m)easting (m)elev. (m)pt.nolatitudelongitudeElev.13,305,692.566620,723.944120.000129-52-31.44351640-15-3.633504114.98723,305,692.566500,001.0000.000229-52-52.79100539-0-3.518371-6.733

7.geo_local-grid_localBack to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Zone =37l0 =36to42Central Meridians of the zone =39Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digitsGeographic (Ain El Abd)UTM-Grid (Ain El Abd)pt.nolatitudelongitudeElev.pt.nonorthing (m)easting (m)elev. (m)129-52-31.75612640-15-0.152258120.00013,305,692.566620,723.944120.000229-52-53.07037439-00-00.937280.00023,305,692.566500,025.1420.000

8.geo_local-grid_WGS84Back to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Zone =37l0 =36to42Central Meridians of the zone =39Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digitsGeographic (Ain El Abd)UTM-Grid (WGS-84)pt.nolatitudelongitudeElev.pt.nonorthing (m)easting (m)elev. (m)129-52-31.75612640-15-0.152258120.00013,305,701.173620,630.446125.013229-52-53.07037439-00-00.937280.00023,305,701.164499,931.7706.732

9.geo_local-geo-WGS84Back to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)Zone =37l0 =36to42Central Meridians of the zone =39Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digitsGeographic (Ain El Abd)Geographic (WGS-84)pt.nolatitudelongitudeElev.pt.nolatitudelongitudeElev.129-52-31.75612640-15-0.152258120.000129-52-33.62647540-14-56.883353125.013

10.geo_wgs84-grid_wgs84Back to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Zone =37l0 =36to42Central Meridians of the zone =39Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digitsGeographic (WGS-84)UTM-Grid (WGS-84)pt.nolatitudelongitudeElev.pt.nonorthing (m)easting (m)elev. (m)129-52-31.75612640-15-0.152258120.00013,305,644.551620,718.769120.000229-52-53.07037439-00-00.937280.00023,305,644.565500,025.1400.000

11.geo_WGS84-grid_localBack to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Zone =37l0 =36to42Central Meridians of the zone =39Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digitsGeographic (WGS-84)UTM-Grid (Ain El Abd)pt.nolatitudelongitudeElev.pt.nonorthing (m)easting (m)elev. (m)129-52-53.07037339-00-00.93727100.00013,305,635.967500,118.51693.268229-52-53.07037439-00-00.937280.00023,305,635.966500,118.517-6.732

12.geo_WGS84-geo_localBack to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.Geographic Latitude & Longitude Format = (Degrees-Minutes-Seconds)

Input this format dd-mm-ss (sample 29-01-00) or minutes must be 2-digitsGeographic (Ain El Abd)Geographic (WGS-84)pt.nolatitudelongitudeElev.pt.nolatitudelongitudeElev.129-52-31.75612640-15-02.152258120.000129-52-29.88576440-15-5.421069114.988229-52-53.07037439-00-00.937280.000229-52-51.23151739-0-4.418312-6.732

local grid zone transformationBack to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Zone =39Zone =38l0 =48to54l0 =42to48Central Meridians of the zone =51Central Meridians of the zone =45

Original UTM-Grid (Ain El Abd)Transform UTM-Grid (Ain El Abd)pt.nonorthing (m)easting (m)pt.nonorthing (m)easting (m)13,305,692.566620,723.94413,327,206.6401,201,098.71923,305,692.566500,000.00023,320,855.8421,079,934.808

WGS84 grid zone transformationBack to Introduction

Note: This worksheet can be expand as much as you want.User's Input Just highlight the last row and drag it downward.*Be sure to Fill-up the required zone.Zone =39Zone =38l0 =48to54l0 =42to48Central Meridians of the zone =51Central Meridians of the zone =45

Original UTM-Grid (WGS-84)Transform UTM-Grid (WGS-84)pt.nonorthing (m)easting (m)pt.nonorthing (m)easting (m)13,305,692.566620,723.94413,327,206.2021,201,071.30323,305,692.566500,000.00023,320,855.3231,079,907.4093,083,948.622164,156.9323,081,973.309755,132.812

Area by CoordinatesBack to IntroductionNote: The first coordinates must be repeated to the lastThis coordinates must based on UTM Ain El Abd Local DatumUser's Input

Elevation is important for ground area computationArea (sq.m)Area by Coordinatescombine factorArea by Coordinatesground226.7765701022average1.00269381UTM-Grid (Ain El Abd)PartialDoubleUTM-Grid (Ain El Abd)pt.nonorthing (m)easting (m)elev. (m)Pt No.AreaAreaArea (sq.m)pt.noscale factorheight factorcombine factor1000,000.000000,000.0000.0001grid456.000228.00011.0026961471.000000001.002696152000,018.000000,000.0000.00020.000ground226.77721.0026961471.000000001.002696153000,018.000000,010.000100.000combine factor3180.00031.0026960230.999984301.002680284000,008.000000,010.0000.000average1.002693814100.00041.0026960231.000000001.002696025000,008.000000,016.0000.000548.00051.0026959481.000000001.002695956000,000.000000,016.0000.0006128.00061.0026959481.000000001.002695951000,000.000000,000.0000.00010.00011.0026961471.000000001.00269615

local CONVERGENCE_SF_HF_CFBack to Introduction

Note: This worksheet can be expand as much as you want. Just highlight the last row and drag it downward.User's Inputcombine factoraverage0.99958390UTM-Grid (Ain El Abd)UTM-Grid (Ain El Abd)pt.nonorthing (m)easting (m)elev. (m)pt.noscale factorheight factorcombine factorBM=012,634,318.849477,092.629196.350BM=010.9996064810.999969180.99957568BM=022,634,174.457476,754.266169.510BM=020.999606670.999973400.99958008BM=032,634,035.560476,901.473169.789BM=030.999606590.999973350.99957995BM=042,633,600.416477,058.859141.584BM=040.999606500.999977780.99958429BM=052,633,531.222477,062.002143.311BM=050.999606500.999977510.99958401BM=062,633,380.886477,073.787146.613BM=060.999606490.999976990.99958349BM=072,633,144.209477,095.629170.130BM=070.999606480.999973300.99957979BM=082,632,619.829477,354.686130.339BM=080.999606330.999979540.99958588BM=092,632,565.302477,081.486129.120BM=090.999606490.999979730.99958623BM=102,632,395.914477,342.187181.769BM=100.999606340.999971470.99957782BM=112,631,907.399477,342.061121.256BM=110.999606340.999980970.99958732BM=122,631,617.043477,688.523119.111BM=120.999606150.999981310.99958746BM=132,631,543.932477,617.267119.043BM=130.999606190.999981320.99958751BM=142,631,530.012477,692.203118.961BM=140.999606150.999981330.99958748BM=152,631,467.284477,532.002118.474BM=150.999606230.999981410.99958765BM=162,631,292.987477,610.748117.457BM=160.999606190.999981560.99958776

Grid and Ground Dist.Back to IntroductionUser's InputNote: This worksheet refers from International 1924 EllipsoidLine. NoNorthing-1Easting-1Elev.1Northing-2Easting-2Elev.2Line. NoAzimuthUTM Grid DistGround DistBM-01_BM-022634318.849477092.629196.3502634174.457476754.266169.510BM-01_BM-02246-53-24.96367.884368.047BM-02_BM-032634174.457476754.266169.5102634035.560476901.473169.789BM-02_BM-03133-20-10.64202.391202.480BM-03_BM-042634035.560476901.473169.7892633600.416477058.859141.584BM-03_BM-04160-6-56.13462.732462.933BM-04_BM-052633600.416477058.859141.5842633531.222477062.002143.311BM-04_BM-05177-23-57.2769.26569.295BM-05_BM-062633531.222477062.002143.3112633380.886477073.787146.613BM-05_BM-06175-31-3.68150.797150.8635044-105252978617.743349136.81520.8962978587.069600000.00014.0005044-1052590-0-25.22250863.187250946.50810525-0232978587.069348625.45614.0002979355.121348483.34824.01410525-023349-31-2.88781.088781.183023-50442988794.120350226.18718.1403033585.989296212.66012.867023-5044309-40-4.670169.59970170.6833042897.620307877.2508.0003041192.204307578.8634.288189-55-27.351731.3231731.228

ForwardBack to IntroductionCONVERTERD-M-S to DegreesDegrees to D-M-S0001.00 0.0002777778233.130102233748.371851257.00 185.2158333333306.8698983065211.63

Note: Azimuth input DD.DDDDNote: Azimuth input DD-MM-SS

FORWARDFORWARDGIVENREQUIREDAZIMUTHGIVENREQUIREDPT. NoNORTHING-1EASTING-1AZIMUTHDISTANCENORTHING-2EASTING-2DD-MM-SSPT. NoNORTHING-1EASTING-1AZIMUTHDISTANCENORTHING-2EASTING-2110.00010.000233.1301025.0007.0006.000233748.37 110.00010.000233748.375.0007.0006.000210.00010.000306.8698985.00013.0006.0003065211.63 210.00010.0003065211.635.00013.0006.000310.00010.000306.8698985.00013.0006.0003065211.63 310.00010.0003065211.635.00013.0006.000410.00010.000306.8698985.00013.0006.0003065211.63 410.00010.0003065211.635.00013.0006.000510.00010.000306.8698985.00013.0006.0003065211.63 510.00010.0003065211.635.00013.0006.000610.00010.000306.8698985.00013.0006.0003065211.63 610.00010.0003065211.635.00013.0006.000710.00010.000306.8698985.00013.0006.0003065211.63 710.00010.0003065211.635.00013.0006.000810.00010.000306.8698985.00013.0006.0003065211.63 810.00010.0003065211.635.00013.0006.000910.00010.000306.8698985.00013.0006.0003065211.63 910.00010.0003065211.635.00013.0006.0001010.00010.000306.8698985.00013.0006.0003065211.63 1010.00010.0003065211.635.00013.0006.0001110.00010.000306.8698985.00013.0006.0003065211.63 1110.00010.0003065211.635.00013.0006.0001210.00010.000306.8698985.00013.0006.0003065211.63 1210.00010.0003065211.635.00013.0006.0001310.00010.000306.8698985.00013.0006.0003065211.63 1310.00010.0003065211.635.00013.0006.0001410.00010.000306.8698985.00013.0006.0003065211.63 1410.00010.0003065211.635.00013.0006.0001510.00010.000306.8698985.00013.0006.0003065211.63 1510.00010.0003065211.635.00013.0006.000

InverseBack to IntroductionCONVERTERD-M-S to DegreesDegrees to D-M-S123915.00 12.654166666712.6541667123915.001851257.00 185.215833333312.3451256122042.45

INVERSEGIVENREQUIREDAZIMUTHPT. NoNORTHING-1EASTING-1NORTHING-2EASTING-2AZIMUTHDISTANCEDD-MM-SS30013041488.000771296.0003050272.66769420.66347.9494458982.6033475658.00 30023041488.000771296.0003050824.4768378.75342.6480729781.5503423853.06 30033041488.000771296.0003050873.97767513.85338.05264410119.342338309.52 30043041488.000771296.0003050815.21766196331.33072210630.4683311950.60 30053041488.000771296.0003050657.3765525.78327.81788510833.8133274904.38 30063041488.000771296.0003050862.48764477.63323.97036311591.8533235813.31 30073041488.000771296.0003050760.04762903.83317.85159712505.9683175105.75 30083041488.000771296.0003050796.02762074.89315.26874113102.2183151607.47 30093041488.000771296.0003050094.04762103.91313.11406812591.999313650.64 30103041488.000771296.0003050093.26763418.26317.52725811666.5883173138.13 453041488.000771296.0003062054.54771110.7359.48379220567.3753592901.65 463041488.000771296.0003061186.55764329.47340.52350320894.1483403124.61 473041488.000771296.0003064275.34768979.68354.19585322904.7643541145.07 483041488.000771296.0003066997.66777834.8514.37699326334.375142237.18 493041488.000771296.0003068327.52781669.1721.13095228774.33721751.43 503041488.000771296.0003070510.75784784.5624.92703432004.082245537.32 433041488.000771296.0002997296.130771874.010179.25063944195.6501791502.30 442703858.925232990.9792703867.820232999.05447.76882012.013474607.75

Parabolic CurveBack to IntroductionVERTICAL PARABOLIC INFORMATIONParabolic Vertical Intersection (PVI) stationParabolic Vertical Intersection (PVI) elevationLength of Vertical CurveGrade Slope-1Grade Slope-2

Topo BS zero AzimuthBack to IntroductionAngles input values are DD.ddddFixed CoordinatesPoints No.NorthingEastingOcc. Pt.100.000100.000azimuthdistanceNote: Data input are ground distances and the output are grid values vice versaBS Pt.100.00090.000270.00000010.000 Angles value are Degrees in decimalHorizontal angles data must clockwise value, zero reading from back sightNote: Data input are ground values and the output also are ground valuesCombine Factor =0.99983254 If data input are grid values and the output also are grid values Angles value are Degrees in decimalLOCAL COORDINATESLOCAL COORDINATESPt NoHor. AngleSlope DistanceZenith AngleNorthingEastingAzimuthhor. Dist.Pt NoHor. AngleSlope DistanceZenith AngleNorthingEastingAzimuthhor. Dist.Occ.Pt to 101090100.00090.000270.00000010.000Occ.Pt to 190.08059027781135.8490.0105561235.649101.5970.0805901135.6501 to 2901090110.000100.000360.00000010.0001 to 2181.5102430556650.849289.869444750.488118.0661.5908333333650.7392 to 3901090110.000100.000360.00000010.0002 to 3167.9886458333980.35589.9197221064.023-77.288349.5794791667980.1903 to 4901090110.000100.000360.00000010.0003 to 492100.000100.000169.57947916670.000CONVERTERD-M-S to DegreesDegrees to D-M-S123915.00 12.654167233.130102233748.371851257.00 185.215833306.8698983065211.6390450.13 90.0805901813036.875181.5102431675919.125167.988646

0.0000009003890.01055689521089.86944489551189.919722

ERROR:#DIV/0!

Transit RuleBack to IntroductionTraverse Adjustment ProgramTransit RulesAzimuthAdjustedAdjustedCorrections toCorrectedCorrectedAdjustedAzimuthAzimuthArea CalculationsStaDistDegMinSecLatitudeDepartureAbs LatAbs DepLatitudeDepartureLatitudeDepartureNorthingEastingStaDistanceDD.DDDDDegMinSecDMD2ACoordinates17139.1377881.05717139.1377881.057400.8521991934-378.2640819769-132.6597534678378.2640819769132.65975346780.078-0.000-378.186-132.660400.7787410072199.32978749421991947.2349792375-132.66050170.128163000926760.9517748.39726760.95056022167748.39722459292033432.5775004525.3601172334-241.7117637101466.4531625835241.7117637101466.45316258350.050-0.000-241.662466.453525.3371067483117.38797728291172316.7182185149201.134-48606.362442683236519.2888214.85036519.28841008478214.85031003455026160.58274259514.888473955346.7567911897380.6171045918346.7567911897380.61710459180.071-0.000346.828380.617514.935889744647.6594187918473933.90765036421048.204363546.34418263746866.1168595.46746866.11637631048595.4673516798-367787.557598084542.4583291955466.588079505-276.6879936459466.588079505276.68799364590.096-0.000466.684-276.688542.5404021386329.33709911763292013.55682345871152.133537681.7085008657332.8008318.77957332.80022733078318.7793122753-5911138.08348595478.667246746-193.7029866588-437.7228002383193.7029866588437.72280023830.040-0.000-193.663-437.723478.6509781068246.133800147424681.68053066437.722-84770.607150009517139.1377881.05617139.1377881.0564396464-1598692.73085352

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Double Area818021.211253806Double Area818025.211694561Sum2462.2250.3339616511-0.00028017681627.02370304061694.14081452730.334-0.0000.000-0.001Area409010.605626903Area409012.60584728

Linear Error =0.3339617686Data inputdifference

Accuracy Ratio1/7372.7750633377

Area by Plane CoordinatesBack to IntroductionNote: The first coordinates must be repeated to the last

Area by Coordinates

PartialDoublePoint No.NorthingEastingAreaAreaArea (sq.m)16232.9774559.527385770.284192885.14225853.0274253.872-172748.25035573.0284504.3522657148.26145759.6264805.663838710.52556103.7594661.499-2484121.77416232.9774559.527-1224759.048

Area by Azimuth and DistanceBack to IntroductionLatDepLatDepError193.663437.722Error193.663437.723Note: Azimuth input by decimal ( DD.DDDD)Note: Azimuth input by decimal ( DD-MM-SS)

Area computation by Azimuth and DistanceArea computation by Azimuth and DistanceDoubleAzimuthDoubleLineAzimuthDistanceLatitudeDepartureDMD MethodAreaArea (sq.m)LineDegMinSecDistanceLatitudeDepartureDMD MethodAreaArea (sq.m)1 to 2199.329788400.779-378.186-132.660-132.66050170.128902791.818451395.9089628471 to 21991947400.779-378.186-132.660-132.66050170.115902791.708451395.853910162CONVERTER2 to 3117.387977525.337-241.662466.453201.134-48606.3622 to 31172317525.337-241.662466.453201.134-48606.372D-M-S to DegreesDegrees to D-M-S3 to 447.65941879514.936346.828380.6171048.204363546.3443 to 4473933.91514.936346.828380.6171048.204363546.457233748.37 233.1301027778233.130102233748.374 to 1329.3370991542.540466.684-276.6881152.133537681.7084 to 13292013.56542.540466.684-276.6881152.133537681.5071851257.00 185.2158333333306.8698983065211.63

Line and OffsetBack to IntroductionREFERENCE LINE (OR) LINE & OFFSET PROGRAM

Reference Line FixedLine NoNorthing 1Easting 1Northing 2Easting 21 to 210010050100

GIVENREQUIREDGIVENREQUIREDPoint No.LineOffsetNorthingEastingPoint No.NorthingEastingLineOffset170.00060.00030.00040.000170.00060.00030.00040.0002-30.00040.000130.00060.0002130.00060.000-30.00040.0003-30.000-40.000130.000140.0003130.000140.000-30.000-40.000430.000-40.00070.000140.000470.000140.00030.000-40.00050.00040.000100.00060.0005100.00060.0000.00040.000630.0000.00070.000100.000670.000100.00030.0000.00070.0005.000100.00095.0007100.00095.0000.0005.0008-30.0000.000130.000100.0008130.000100.000-30.000-0.0009-30.0000.000130.000100.0009130.000100.000-30.000-0.0001030.00040.00070.00060.00010130.000100.000-30.000-0.00011-30.00040.000130.00060.0001170.00060.00030.00040.00012-30.000-40.000130.000140.00012130.00060.000-30.00040.0001330.000-40.00070.000140.00013130.000140.000-30.000-40.000140.00040.000100.00060.0001470.000140.00030.000-40.0001530.0000.00070.000100.00015100.00060.0000.00040.000160.0005.000100.00095.0001670.000100.00030.0000.00017-30.0000.000130.000100.00017100.00095.0000.0005.00018-30.0000.000130.000100.00018130.000100.000-30.000-0.00019-30.0000.000130.000100.00019130.000100.000-30.000-0.00020-30.0000.000130.000100.00020130.000100.000-30.000-0.000

multi-coordinate transformationBack to IntroductionNote: Automatic computation of COMBINE FACTOR as per given references

Present Location on Reference LinePresent Location on Reference LineGIVENCOMPUTEDGIVENCOMPUTEDLine NameNorthing AEasting ANorthing BEasting BAZIMUTHDISTANCELine NameNorthing AEasting AAZIMUTHDISTANCENorthing BEasting BA to B67102.52075145.83867089.58175148.586168.00961513.228A to B84.0521261.88139.316286561.519518.4771617.660

Proposed Location on Reference LineProposed Location on Reference LineGIVENCOMPUTEDGIVENCOMPUTEDLine NameNorthing AEasting ANorthing BEasting BAZIMUTHDISTANCELine NameNorthing AEasting AAZIMUTHDISTANCENorthing BEasting BA to B3014163.070349777.3713014155.312349788.082125.91589413.225A to B-5.8291661.66461.004081421.139198.3172030.015

GIVENREQUIREDGIVENREQUIREDPresent LocationLocationPresent LocationLocationPoint No.NorthingEastingNorthingEastingPoint No.NorthingEastingNorthingEasting10070563.63177332.953018196.846349080.290100128.9931591.445-65.8521903.796101372.421273.1162915141.986339694.025101372.421273.116192.0231749.418102230.1091130.8052914941.020339683.822102230.1091130.805132.2891610.79710357.8371097.12914790.616339774.27810357.8371097.121.5721539.561104S.factor=0.9998367008104S.factor=0.7499995548105105106106107107108108109109110110111111112112113113114114

Data Input

Note: Inputing the value of COMBINE FACTOR is a must to get the correct result

Scale Factor=0.9Scale Factor=1

Present Location on Reference LinePresent Location on Reference LineGIVENCOMPUTEDGIVENCOMPUTEDLine NameNorthing AEasting ANorthing BEasting BAZIMUTHDISTANCELine NameNorthing AEasting AAZIMUTHDISTANCENorthing BEasting BA to B100170100142.796270.00000027.204A to B10017027027.204100.000142.796

Proposed Location on Reference LineProposed Location on Reference LineGIVENCOMPUTEDGIVENCOMPUTEDLine NameNorthing AEasting ANorthing BEasting BAZIMUTHDISTANCELine NameNorthing AEasting AAZIMUTHDISTANCENorthing BEasting BA to B100170100142.796270.00000027.204A to B10017027027.204100.000142.796

GIVENREQUIREDGIVENREQUIREDPresent LocationLocationPresent LocationLocationPoint No.NorthingEastingNorthingEastingPoint No.NorthingEastingNorthingEasting100140170136.000170.000100140170140.000170.000101140230136.000224.000101140230140.000230.0001026023064.000224.0001026023060.000230.0001036017064.000170.0001036017060.000170.000104104105105106106107107108108109109110110111111112112113113114114

coordinates transformationBack to IntroductionCo-ordinate TransformationInstructions:

Bearing:106.18950degBearing:64.09750deg1. Enter the co-ordinates of 2 points in two different co-ordinate systems into the top boxes.Baselength:4339.8288mBaselength:4339.0951m2. Enter the co-ordinates of other points into the boxes on the left hand side.Scale Factor:0.999831Base Error:733.7mm3. Note:Data InputScale Error:169mm/KmAlpha:0.741944 Northing Origin:2914013.3137mBeta0.670210Easting Origin:338996.1596mRotation:-42.09200deg

Original Co-ordinates (m)Transformed Co-ordinates (m)NoNorthingEastingElevationNoNorthingEastingElevation202440970.134066590.716020242989040.6030360944.1550311539760.124070758.448031152990936.0980364847.3390

138369.07268883.42912988647.359364388.4771339607.02869914.641132990256.982364323.8883200.000500.00032914496.807339233.0904100.000400.00042914355.592339225.9165150.000400.00052914392.689339192.4066200.000400.00062914429.786339158.8957100.000300.00072914288.571339151.7228150.000300.00082914325.668339118.2119200.000300.00092914362.765339084.701

R.C. Jubail transformationBack to Introduction

Line NameLATDEPROTATIONSCALE FACORLine NameLATDEPROTATIONSCALE FACORA to B2914013.306338996.27442.092082040.999830629A to B-1935487.883-2205265.232-42.092082041.000169398JUBAIL ROYAL COMMISSION COORDINATES CONVERSIONGivenTransformGivenTransformDATA:R.C. CoordinatesU.T.M. CoordinatesU.T.M. CoordinatesR.C.CoordinatesFROM JUBAIL ROYAL COMMISSION COORDINATES TO UTM (ZONE 39_ AIN EL ABD DATUM - SAUDI ARABIA)Point No.NorthingEastingNorthingEastingPoint No.NorthingEastingNorthingEastingLATITUDE2914013.306167102.52075145.8383014163.070349777.37112989040.603360944.15540970.13866590.711DEPARTURE338996.274267089.58175148.5863014155.312349788.08222990936.098364847.33939760.12270758.443ROTATION42.09208204370563.63177332.9503018196.842349080.41032990255.735365363.08338909.38670685.084SCALE FACTOR0.999830629439818.31969984.3882990460.496364234.03042990460.494364234.03139818.31669984.387540958.84169476.0822990966.026363092.50652990966.026363092.50840958.83969476.083FROM UTM (ZONE 39_ AIN EL ABD DATUM - SAUDI ARABIA) TO JUBAIL ROYAL COMMISSION COORDINATES 640990.27368882.9182990591.802362631.34662990591.804362631.34840990.27268882.920LATITUDE-1935487.883740926.28068045.5982989983.142362052.99172989983.146362052.99240926.28168045.600DEPARTURE-2205265.232882989983.142362052.99140926.27968045.597ROTATION-42.0920820499SCALE FACTOR1.000169398101011111212131314141515

Right triangle solverBack to Introduction

Right Triangle SolverEnter ONLY TWO known pieces of informationDegreesabcYZa=34.0000b=53.130102354236.8698976458c=5X=90Y=Z=Degree ConverterDegrees entered as a decimal will be converted to Deg, Min, Sec6.0Degrees66DegreesY0.4166666666666667Minutes2525Minutes8.333333333333334E-4Seconds33.00Secondsc6.4175 Angle as a decimala NOTE: The Degree Converter above hasno influence on the Right TriangleZ calculations.Xb

triangle solverBack to Introduction

Triangle SolverEnter ONLY 3-known pieces of information except 3-anglesDegreesabcABCa=322.418322.418059.36581346398.9223175b=749.909555.032439.556493828381.0776906c=860.9971322.418021.711870577859.3658140322322.4180860.997198.92231539CONVERTERA=21.711869322.4180860.997159.36581561D-M-S to DegreesDegrees to D-M-SB=59.365816322.4180749.909098.9223153962503.00 6.4175233.130102233748.37C=98.922315322.4180749.909059.365815611851257.00 185.2158333333306.8698983065211.63322.4180860.997121.711869849.919977.210440442381.0776905577749.909021.711868603498.9223157866749.909021.711868628259.3658159818749.9090860.997198.92231539749.9090860.997159.36581561749.9090860.997121.711869860.997159.365815608998.9223153911860.997121.711869000398.9223153897860.997121.711869000259.365815609821.711868446959.365813263598.9223182896322.4180749.909021.711869

Degree ConverterDegrees entered as a decimal will be converted to Deg, Min, Sec6.0Degrees66DegreesB0.4166666666666667Minutes2525Minutes8.333333333333334E-4Seconds33.00Secondsc6.4175 Angle as a decimala NOTE: Figure out the shape of triangle becausein arc sine, no values greater thanA90 degrees.Cb180 - the value

compass rule or bowditch methodBack to IntroductionBowditch Traverse Computation (Compass Rule)Start Station Co-ordinates:Closing Station Co-ordinates:Closing Station Co-ordinatesAll Angles must be Clockwise & ExternalAll angle must be ClockwiseStation NoEasting (m)Northing (m)StationEasting (m)Northing (m)2nd Forward1100.0000200.00004200.0000200.0000Distance2nd Station2nd HAClosed Traverse Example2nd HALoop Traverse ExampleBack Azimuth:Forward Azimuth:Enter Station ID, Hz Angle and Forward DistancesDegMinSecDegreesDegMinSecDegreesDo not enter Forward Distance from final Fixed point900000.090.0000002700000.0270.0000001st2nd Station 1st ForwardRefer to Sketches on the right side for further detailsForward DistanceStationDistanceStation (N-1)StationMeasured HAForwardHA DegreesMeas FwdAdjAdjustedAdjusted HAAdj FwdFwd AzimuthDifferencesStation Co-ordinatesAdjustmentStation Co-ordinatesStation1=Yes2nd ForwardNoDegMinSecHzDist (m)BearingSecHA DegreesDegMinSecBrg DegDegMinSecEasting (m)Northing (m)EastingNorthingEasting (m)Northing (m)Easting (m)Northing (m)No0=No(N-1) HA Back Azimuth DistanceFinal (N) HA12695956.0100.0023269.998889359.99888904.5270.0001392700000.50.00013900000.50.0002100.0023100.0002300.0023-0.0028-0.001999.9974300.0004211st HAFIXED1st HAForward Azimuth22695951.0100.0012269.99750089.99638904.5269.9987502695955.589.998889895956.0100.00120.0019200.0014300.0042-0.0028-0.0019199.9958300.000331Start (1st)FIXED32695945.099.9984269.995833179.99222204.5269.9970832695949.5179.9959721795945.50.0070-99.9984200.0085200.0058-0.0028-0.0019200.0000200.000041Station Closing (N) StnNo Fwd Dist42700010.0270.002778269.99500004.5270.0040282700014.5270.00000027000-00.0200.0085200.00581FIXEDBack Azimuth(N-1) (N-1) HAFIXED269.995000200.0085200.00580FIXEDForwardStart (1st) (N -1)269.995000200.0085200.00580FIXED BASELINEDistanceStationFwd Dist269.995000200.0085200.00580FIXED269.995000200.0085200.00580Forward Azimuth269.995000200.0085200.00580FIXEDStation (N-1)269.995000200.0085200.00580Bowditch Traverse Computation269.995000200.0085200.00580No Forward DistanceClosing Final (N) HABowditch Traverse Computation269.995000200.0085200.00580Station (N)269.995000200.0085200.00580FIXED269.995000200.0085200.00580269.995000200.0085200.00580269.995000200.0085200.00580269.995000200.0085200.00580269.995000200.0085200.00580269.995000200.0085200.00580269.995000200.0085200.00580ONLY ENTER DATA IN WHITE CELLSTotal NoTotalMeasuredMeasuredMisc:AdjustedAccuracy RatioTotal Diff:Total Diff:Misclosure:Misclosure:Linear Error4Stations:Distance:Total Angle:Fwd BearingSecTotal Angle:EastingNorthingEastingNorthingClosure4300.00191079.995000269.995000-18.01080.0000001/29156100.00850.00580.00850.00580.010

compass ruleBack to IntroductionCompass Adjustment ProgramCompass RulesAzimuthAdjustedAdjustedCorrections toCorrectedCorrectedAdjustedAzimuthAzimuthArea CalculationsStaDistDegMinSecLatitudeDepartureLatitudeDepartureLatitudeDepartureNorthingEastingStaDistanceDD.DDDDDegMinSecDMD2ACoordinates16232.9774559.52716232.9774559.527487.6852184857.6-379.986-305.6910.0370.037-379.950-305.655487.634218.81532714662184855.1777278236-305.655116133.35222278225853.0274253.87225853.02744872884253.8723365474-172748.249583688375.6881381127.9-280.027250.4520.0280.028-279.999250.480375.686138.1850045609138116.016419096-360.829101031.91017946235573.0284504.35235573.02817840364504.35247249752657148.26136709354.374581355.1186.571301.2840.0270.027186.598301.311354.41158.2305957368581350.1446523376190.96235633.044585597445759.6264805.66345759.62606498484805.6632004263838710.525417209373.0953371552.3344.105-144.1930.0280.028344.133-144.165373.110337.27016744013371612.6027842006348.108119795.42366059256103.7594661.49956103.75915829114661.4986275935-2484121.77388578164.6053214255.4129.206-101.9840.0120.012129.218-101.972164.607321.72143628253214317.1706169008101.97213176.553633178416232.9774559.52716232.9774559.527-1224759.04759644

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Double Area385770.284281611Double Area385770.284281608Sum1755.4470.132-0.1320.1320.1320.0000.000Area192885.142140805Area192885.142140804Linear Error =0.187Accuracy Ratio1/9412Data Input

curve coordinates computationBack to Introduction

Bearing (Degrees)DistanceTP1 = Beginning of CurveTP1-TP2249.4584321434.095TP2 = End of CurveRP-TP125.269675d/2RP-TP2293.647188717.047

Angle (Degrees)TP2-TP1-RP44.188756TP1-RP-TP291.622487

Data InputTotal Arc (m)1599.114Northing (m)Easting (m)TP1 2921450.582433951.192Angle per Chain5.7295779513TP22920947.377432608.280Radius-1000.000Whole Circle (m)6283.185NorthingEastingStationing at TP10003.000+Centre2920546.273433524.313Stationing at TP21602.114+Chain Interval100Offset200If the curve is going to the left from TP1, Enter the radius as (-) negative valueexample: Radius = -1000Centre-LineExternalInternalNoCL ChainageNorthing (m)Easting (m)Northing (m)Easting (m)Northing (m)Easting (m)00003.000+2921450.582433951.1922921631.444434036.5682921269.720433865.81610100.000+2921487.673433861.6052921675.953433929.0632921299.393433794.14620200.000+2921516.643433765.9372921710.717433814.2612921322.569433717.61230300.000+2921535.918433667.8542921733.847433696.5622921337.989433639.14640400.000+2921545.304433568.3372921745.110433577.1422921345.498433559.53350500.000+2921544.708433468.3812921744.395433457.1952921345.021433479.56760600.000+2921534.136433368.9832921731.709433337.9172921336.564433400.04970700.000+2921513.694433271.1382921707.178433220.5022921320.210433321.77380800.000+2921483.585433175.8212921671.048433106.1232921296.123433245.52090900.000+2921444.112433083.9872921623.679432995.9222921264.544433172.052101000.000+2921395.667432996.5532921565.546432891.0012921225.788433102.105111100.000+2921338.736432914.3922921497.228432792.4072921180.243433036.376121200.000+2921273.886432838.3252921419.409432701.1272921128.364432975.522131300.000+2921201.766432769.1122921332.865432618.0712921070.668432920.152141400.000+2921123.097432707.4442921238.462432544.0712921007.733432870.818151500.000+2921038.665432653.9392921137.143432479.8642920940.187432828.014161600.000+2920949.313432609.1302921029.921432426.0932920868.705432792.167171602.114+2920947.377432608.2802921027.598432425.0732920867.156432791.487

super elevationBack to Introduction

To us instructionsCalculate Super Elevation For Any Dc And Maximum e%Standard Data Values -EnglishSuper TransMaximum Slope for TransitionsGIVENDes SpeedRunning Spf maxGradient, % Design Speed4020200.170.75 EnglishRunning Speed35.802From Regress30280.160.67 f max0.146755From Regress40360.150.58 e max0.0650440.140.5fmaxSpeedSlope%CalcRegression EquationRSCALCULATE55480.130.470.17200.750.73678mb20Radius Min515.9085229760520.120.450.16300.670.66518-0.00716382250.879982935228Deg Curve max11.105802181865550.110.410.15400.580.5935836Radius Min (RS)1424.2035670580.10.40.14500.50.52198-0.00139249150.202354948844Deg Cur (DCRS)4.02300496990.12600.450.4503852Deg Cur (ACT)8Less then Deg Cur max0.11650.410.414580.77064846424.976109215550.1700.40.3787858CALC eact offsetRS0.0191326941eact DC>DCRS0.0563211329 eact DC