Tangent Δ 2 Circular Curve - Surames Curve.pdf · Route surveying Circular Curve Dr. Surames...
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533321 Department of Civil Engineering Faculty of Engineering Burapha University Dr. Surames Piriyawat Route surveying Circular Curve Dr. Surames Piriyawat 1 Geometry of Circular Curve o Circular curve or Simple curve 2 Δ Tangent Dr. Surames Piriyawat 2 Components of Circular Curve (Horizontal Curve)-1 Δ = Deflection angle I, IA = Intersection angle T = Tangent I, IA = Intersection angle BT = Back tangent FT = Forward tangent Dr. Surames Piriyawat 3 BC = Beginning of curve PC = Point of curve, Point circular curve HPC = Horizontal point of curve TC = Tangent to curve EC = End of curve PT = Point of tangent HPT = Horizontal point of tangent CT = Curve to tangent Components of Circular Curve (Horizontal Curve)-2 Dr. Surames Piriyawat 4
Transcript of Tangent Δ 2 Circular Curve - Surames Curve.pdf · Route surveying Circular Curve Dr. Surames...
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Department of Civil EngineeringFaculty of EngineeringBurapha University
Dr. Surames Piriyawat
Route surveying
Circular Curve
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Geometry of Circular Curve
o Circular curve or Simple curve
2Δ
Tangent
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Components of Circular Curve (Horizontal Curve)-1
Δ = Deflection angle I, IA = Intersection angle
T = Tangent I, IA = Intersection angle BT = Back tangent FT = Forward tangent
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BC = Beginning of curve PC = Point of curve, Point circular curve HPC = Horizontal point of curve TC = Tangent to curve
EC = End of curve PT = Point of tangent HPT = Horizontal point of tangent CT = Curve to tangent
Components of Circular Curve (Horizontal Curve)-2
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PI = Point of intersection IP = Intersection point HIP = Horizontal intersection point
C = Chord LC = Long chord or Length of chord
Components of Circular Curve (Horizontal Curve)-3
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M, MO = Mid-ordinate ML = Middle ordinate length
E = External distance
Components of Circular Curve (Horizontal Curve)-4
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L = Length of curve
1/R = Curvature R = Radius
Components of Circular Curve (Horizontal Curve)-5
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⎟⎠⎞
⎜⎝⎛ −
Δ= 1
2secRE
4tan Δ
= TE
External Distance
Components of Circular Curve (Horizontal Curve)-6
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2tan Δ
= RT
Tangent
2sin2 Δ
= RC
Length of Chord
Components of Circular Curve (Horizontal Curve)-7
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4tan
21 Δ
= CM
Middle Ordinate
DL
DL
Δ=
Δ=
100
100
Length of Curve
Components of Circular Curve (Horizontal Curve)-8
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Degree of Curve (D)
DL
DL
Δ=
Δ=
100
100
Length of Curve
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Degree of Curve (D)
DR 57795.5729=
o Arc Definition o Chord Definition
DR 65067.5729=
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Deflection Angle
82Dd
=
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2002
2002
2002
22
11
Dad
Dad
aDd
=
=
=
Deflection Angle, Arc, Radius and Chord
2sin2
2sin2
2sin2
22
11
dRc
dRc
dRc
=
=
=
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Deflection Angle for Each Station
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Locating PI, PC and PT
LSTAPCSTAPTTSTAPISTAPC+=−=
ExampleData: PI STA 10+800.5, Δ = 69• 30’ 00”, R = 260.435 m, a = 25 m
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