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Length of Curve in Vertical alignment Formulas

Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave. And is denoted by Ls. Length of Curve is usually measured using the Meter for Length. Note that the value of Length of Curve is always positive.

Formulas to find Length of Curve in Vertical alignment

fxLength of Summit Curve given Deviation Angle and Sight Distance​Go
fxLength of Curve given Radius of Curve and Deviation Angle​Go
fxLength of Summit Curve Less than Sight Distance​Go
fxLength of Valley Curve Greater than Stopping Sight Distance​Go
fxLength of Valley Curve Less than Stopping Sight Distance​Go
fxLength of Valley Curve given Time and Design Speed​Go
fxLength of Valley Curve​Go
fxTotal Length of Valley Curve​Go
fxLength of Summit Curve Given Angle Grades​Go

Vertical alignment formulas that make use of Length of Curve

fxSight Distance given Length of Summit Curve​Go
fxRadius of Curve given Length of Curve and Deviation Angle​Go
fxDeviation Angle given Length of Curve and Radius of Curve​Go
fxDeviation Angle given Length of Summit Curve​Go
fxDeviation Angle given Length of Summit Curve Less than Sight Distance​Go
fxSight Distance More than Length of Summit Curve​Go
fxInclination Angle given Length of Valley Curve Greater than Stopping Sight Distance​Go
fxDeviation Angle given Length of Valley Curve Greater than Stopping Sight Distance​Go
fxDriver Eye Height given Length of Valley Curve Greater than Stopping Sight Distance​Go
fxDeviation Angle Given Length of Valley Curve Less than Stopping Sight Distance​Go
fxInclination Angle given Length of Valley Curve Less than Stopping Sight Distance​Go
fxDriver Sight Height given Length of Valley Curve Less than Stopping Sight Distance​Go
fxRate of Change of Acceleration​Go
fxRadius of Curve given Length of Valley Curve​Go
fxDesign Speed given Length of Valley Curve​Go
fxDesign Speed given Length of Valley Curve and Time​Go
fxTime given Length of Valley Curve and Design Speed​Go
fxDeviation Angle given Total Length of Valley Curve​Go
fxDesign Speed given Total Length of Valley Curve​Go
fxRate of Change of Acceleration given Total Length of Valley Curve​Go
fxHeight of Obstruction Given Angle Grades​Go
fxDriver Sight Height given Angle Grades​Go
fxNegative Grade Angle Given Sight Distance​Go
fxPositive Grade Angle Given Sight Distance​Go
fxSight Distance Given Angle Grades​Go

List of variables in Vertical alignment formulas

fx Deviation Angle ​Go
fx Sight Distance ​Go
fx Driver Sight Height ​Go
fx The Height of The Obstruction ​Go
fx Radius of Curve ​Go
fx Inclination ​Go
fx Design Speed ​Go
fx Time ​Go
fx Rate of Change of Acceleration ​Go
fx Positive Grade Angle ​Go
fx Negative Grade Angle ​Go

FAQ

What is the Length of Curve?
Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave. Length of Curve is usually measured using the Meter for Length. Note that the value of Length of Curve is always positive.
Can the Length of Curve be negative?
No, the Length of Curve, measured in Length cannot be negative.
What unit is used to measure Length of Curve?
Length of Curve is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Curve can be measured.
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