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Project: Control Section: Job number: Curve #: Known Variables: Calculated Variables: Curve Deflection and Stationing: Variable Calculations: Bearing into the Curve: S 60 51 ' 45"W = 53 ° 30 ' 54 " Rt. Bearing Out of the Curve: N 65 ° 37 ' 21 " W T = P.C. = R = P.I. = D = 11 ° 11 ' 50 " P.T. = L = E = Input known variables in shaded boxes. * If "No Match" appears beside the calculate d length of curve, or the T Length, there is a bust in the data for this curve. Use this spreadsheet to check curve data, or to calculate curve variables based upon the Bearings into and out of the Curve, and the known P.C., P.I., and P.T. Stations.  All units are English Uni ts. 401+71.85 511.70 404+29.85 406+49.79 477.93 61.36 Horizontal Curve Computations from Stationing M-136 in St. Clair County 77041, 77091 55662A Survey Centerline w/ PC=Sta 401+71.85 258.00

MDOT-Horizontal Curve Calcs 120886 7

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Project:

Control Section:

Job number:

Curve #:

Known Variables: Calculated Variables:

Curve Deflection and Stationing: Variable Calculations:

Bearing into the Curve: S 60 51 ' 45 " W ∆ = 53 ° 30 ' 54 " Rt.

Bearing Out of the Curve: N 65 ° 37 ' 21 " W T =

P.C. = R =

P.I. = D = 11 ° 11 ' 50 "

P.T. = L =

E =

Input known variables in shaded boxes.

* If "No Match" appears beside the calculated length of curve, or the T Length, there is a bust

in the data for this curve.

Use this spreadsheet to check curve data, or to calculate curve variables based upon the

Bearings into and out of the Curve, and the known P.C., P.I., and P.T. Stations.

 All units are English Units.

401+71.85 511.70

404+29.85

406+49.79 477.93

61.36

Horizontal Curve Computations from Stationing

M-136 in St. Clair County

77041, 77091

55662A

Survey Centerline w/ PC=Sta 401+71.85

258.00

7/14/2019 MDOT-Horizontal Curve Calcs 120886 7

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Project:

Control Section:

Job number:

Curve #:

Known Variables: Calculated Variables:

Variable Calculations:

∆ = 02 ° 38 ' 48 " P.C. =

PC P.I. =R = P.T. =

D = 00 ° 19 ' 30 "

Input known variables in shaded boxes. T =

L =

E =

Input whether the station used is the

P.C., the P.I., or the P.T.

814.38

4.70

Use this spreadsheet to calculate curve variables based upon the

Deflection Angle (∆), the Station of the P.C., P.I., or the P.T. and the

Radius of the Curve.

 All units are English Units.

283+47.97

283+47.97 287+55.2317,630.00 291+62.35

407.26

Horizontal Curve Computations from Curve

Deflection Angle, and Radius

US-12 Lenawee & Washtenaw Co's.

81031, 46101

60172B

Proposed Curve at Sta 287+55.23

Curve Deflection; P.C., P.I.,

or P.T.; and Radius:

7/14/2019 MDOT-Horizontal Curve Calcs 120886 7

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Project:

Control Section:

Job number:

Curve #:

Known Variables: Calculated Variables:

Distances:

pc ∆ = 04 ° 21 ' 51 " Lt. P.C. to P.I. =

P.C., P.I., & P.T. Coordinates P.C. = P.I. to P.T. =

P.C. N = 203,571.17 E = 13,159,021.55 P.I. = Bearings of Approaches to Curve:

P.I. N = 203,646.50 E = 13,159,610.54 P.T. = P.C. to P.I. = N 82 ° 42 ' 42 " E

P.T. N = 203,766.43 E = 13,160,192.09 T = P.I. to P.T. = N 78 ° 20 ' 51 " E

R =

D = 00 ° 22 ' 04 "

L =

E =

If the Distances from the P.C. to the P.I. and from the P.I. to the P.T. do not match, you will receive a warning next to the

Distance from P.I. to P.T. that states "No Match".

Use this spreadsheet to check curve data, or to calculate curve variables based upon the Coordinates of the P.C., P.I., and

P.T.

593.79

15,584.12

Input whether the station used is the P.C., the

P.I., or the P.T. 1,187.00

11.31

107+96.00 593.79 

107+96.00 593.79 

113+89.79

119+83.00

Horizontal Curve Calculations from Coordinates

US-12 City of Wayne

82061

60447B

Const Cntl. Curve @ Sta 40+96.36

Station of P.C., P.I., or P.T.; and P.C., P.I.,

and P.T. Coordinates: Curve Data:

7/14/2019 MDOT-Horizontal Curve Calcs 120886 7

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Project:

Control Section:Job number:

Curve #:

Known Variables: Calculated Variables:

P.C. =

∆ = 06 ° 27 ' 09 " P.I. =

Curve Direction (Lt. or Rt.?) Rt P.T. =

PC T =

P.C., P.I., & P.T. Coordinates R =

P.C. N = E = 13,321,260.45 D = 00 ° 00 ' 36 "

P.T. N = E = 13,386,250.33 L =

E =

Bearing of Arc Chord:

N 89 ° 58 ' 09 " E

Use this spreadsheet to check curve data, or to calculate curve variables based

upon the Curve Deflection Angle and the Coordinates of the P.C. & P.T.

286,334.96 65,024.25

916.57

Input whether the station used is the P.C., the

P.I., or the P.T.

349+90.87

674+68.59

24+44.34 32,546.53

577,390.91

286,300.00

Horizontal Curve Calculations from P.C. & P.T.

Coordinates and the Curve Deflection Angle

Curve Deflection Angle; Station of P.C., P.I.,

or P.T.; and P.C. & P.T. Coordinates

Curve Data:

24+44.34