Tangent Offset for Chord of Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve)
a = Lc^2/(2*Rc)
This formula uses 3 Variables
Variables Used
Tangent Offset - (Measured in Meter) - Tangent offset can be described as the offsets to circular curve.
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
Radius of Circular Curve - (Measured in Meter) - Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.
STEP 1: Convert Input(s) to Base Unit
Length of Curve: 140 Meter --> 140 Meter No Conversion Required
Radius of Circular Curve: 130 Meter --> 130 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = Lc^2/(2*Rc) --> 140^2/(2*130)
Evaluating ... ...
a = 75.3846153846154
STEP 3: Convert Result to Output's Unit
75.3846153846154 Meter --> No Conversion Required
FINAL ANSWER
75.3846153846154 75.38462 Meter <-- Tangent Offset
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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Indian Institute of Information Technology (IIIT), Bhopal
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Radius of Curve using External Distance
Go Radius of Circular Curve = External Distance/((sec(1/2)*(Central Angle of Curve*(180/pi)))-1)
External Distance
Go External Distance = Radius of Circular Curve*((sec(1/2)*Central Angle of Curve*(180/pi))-1)
Central Angle of Curve for given Length of Long Chord
Go Central Angle of Curve = (Length of long Chord/(2*Radius of Circular Curve*sin(1/2)))
Radius of Curve given Length of Long Chord
Go Radius of Circular Curve = Length of long Chord/(2*sin(1/2)*(Central Angle of Curve))
Length of Long Chord
Go Length of long Chord = 2*Radius of Circular Curve*sin((1/2)*(Central Angle of Curve))
Central Angle of Curve for given Tangent Distance
Go Central Angle of Curve = (Tangent Distance/(sin(1/2)*Radius of Circular Curve))
Radius of Curve using Tangent Distance
Go Radius of Circular Curve = Tangent Distance/(sin(1/2)*(Central Angle of Curve))
Radius of Curve using Midordinate
Go Radius of Circular Curve = Midordinate/(1-(cos(1/2)*(Central Angle of Curve)))
Exact Tangent Distance
Go Tangent Distance = Radius of Circular Curve*tan(1/2)*Central Angle of Curve
Length of Curve or Chord by Central Angle given Tangent Offset for Chord of Length
Go Length of Curve = sqrt(Tangent Offset*2*Radius of Circular Curve)
Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length
Go Length of Curve = sqrt(Chord Offset*Radius of Circular Curve)
Length of Curve or Chord by Central Angle given Central Angle for Portion of Curve
Go Length of Curve = (100*Central Angle for Portion of Curve)/Degree of Curve
Central angle for Portion of Curve Approximate for Chord definition
Go Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100
Central Angle for Portion of Curve Exact for Arc definition
Go Central Angle for Portion of Curve = (Degree of Curve*Length of Curve)/100
Length of Curve given Central Angle for portion of Curve
Go Length of Curve = (Central Angle for Portion of Curve*100)/Degree of Curve
Degree of Curve when Central Angle for Portion of Curve
Go Degree of Curve = (100*Central Angle for Portion of Curve)/Length of Curve
Tangent Offset for Chord of Length
Go Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve)
Degree of Curve for given Radius of Curve
Go Degree of Curve = (5729.578/Radius of Circular Curve)*(pi/180)
Radius of Curve
Go Radius of Circular Curve = 5729.578/(Degree of Curve*(180/pi))
Central Angle of Curve for given Length of Curve
Go Central Angle of Curve = (Length of Curve*Degree of Curve)/100
Degree of Curve for given Length of Curve
Go Degree of Curve = (100*Central Angle of Curve)/Length of Curve
Exact Length of Curve
Go Length of Curve = (100*Central Angle of Curve)/Degree of Curve
Radius of Curve using Degree of Curve
Go Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Radius of Curve Exact for Chord
Go Radius of Circular Curve = 50/(sin(1/2)*(Degree of Curve))
Approximate Chord Offset for Chord of Length
Go Chord Offset = Length of Curve^2/Radius of Circular Curve

Tangent Offset for Chord of Length Formula

Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve)
a = Lc^2/(2*Rc)

What is radius of curve?

Radius of curve can be defined as the absolute value of the reciprocal of the curvature at a point on a curve.

How to Calculate Tangent Offset for Chord of Length?

Tangent Offset for Chord of Length calculator uses Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve) to calculate the Tangent Offset, Tangent Offset for Chord of Length (approximate) can be defined as the tangent offset for chord of length. Tangent Offset is denoted by a symbol.

How to calculate Tangent Offset for Chord of Length using this online calculator? To use this online calculator for Tangent Offset for Chord of Length, enter Length of Curve (Lc) & Radius of Circular Curve (Rc) and hit the calculate button. Here is how the Tangent Offset for Chord of Length calculation can be explained with given input values -> 75.38462 = 140^2/(2*130).

FAQ

What is Tangent Offset for Chord of Length?
Tangent Offset for Chord of Length (approximate) can be defined as the tangent offset for chord of length and is represented as a = Lc^2/(2*Rc) or Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve). Length of curve is defined as the arc length in a parabolic curves & Radius of Circular Curve is the radius of a circle whose part, say, arc is taken for consideration.
How to calculate Tangent Offset for Chord of Length?
Tangent Offset for Chord of Length (approximate) can be defined as the tangent offset for chord of length is calculated using Tangent Offset = Length of Curve^2/(2*Radius of Circular Curve). To calculate Tangent Offset for Chord of Length, you need Length of Curve (Lc) & Radius of Circular Curve (Rc). With our tool, you need to enter the respective value for Length of Curve & Radius of Circular Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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