Length of Valley Curve given Time and Design Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Curve = Design Speed*Time
Ls = v*t
This formula uses 3 Variables
Variables Used
Length of Curve - (Measured in Meter) - Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave.
Design Speed - (Measured in Meter per Second) - Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.
Time - (Measured in Second) - The time it takes for a vehicle or object to traverse the length of the valley curve while experiencing a specific rate of change of acceleration.
STEP 1: Convert Input(s) to Base Unit
Design Speed: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Time: 4 Second --> 4 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ls = v*t --> 5*4
Evaluating ... ...
Ls = 20
STEP 3: Convert Result to Output's Unit
20 Meter --> No Conversion Required
FINAL ANSWER
20 Meter <-- Length of Curve
(Calculation completed in 00.020 seconds)

Credits

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Created by Rahul
Dayanada Sagar college of Engineering (DSCE), banglore
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Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
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12 Design of Valley Curve Calculators

Total Length of Valley Curve
​ Go Length of Curve = 2*sqrt((Deviation Angle*Design Speed^3)/Rate of Change of Acceleration)
Design Speed given Total Length of Valley Curve
​ Go Design Speed = ((Length of Curve/2)^2*Rate of Change of Acceleration/Deviation Angle)^(1/3)
Rate of Change of Acceleration given Total Length of Valley Curve
​ Go Rate of Change of Acceleration = (Length of Curve/2)^2*Deviation Angle*Design Speed^3
Deviation Angle given Total Length of Valley Curve
​ Go Deviation Angle = (Length of Curve/2)^2*Rate of Change of Acceleration/Design Speed^3
Design Speed given Length of Valley Curve
​ Go Design Speed = (Length of Curve*Radius of Curve*Rate of Change of Acceleration)^(1/3)
Radius of Curve given Length of Valley Curve
​ Go Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration)
Rate of Change of Acceleration
​ Go Rate of Change of Acceleration = (Design Speed^3)/(Length of Curve*Radius of Curve)
Length of Valley Curve
​ Go Length of Curve = (Design Speed^3)/(Radius of Curve*Rate of Change of Acceleration)
Time given Rate of Change of Acceleration
​ Go Time = ((Design Speed^2)/Radius of Curve)/Rate of Change of Acceleration
Length of Valley Curve given Time and Design Speed
​ Go Length of Curve = Design Speed*Time
Design Speed given Length of Valley Curve and Time
​ Go Design Speed = Length of Curve/Time
Time given Length of Valley Curve and Design Speed
​ Go Time = Length of Curve/Design Speed

Length of Valley Curve given Time and Design Speed Formula

Length of Curve = Design Speed*Time
Ls = v*t

Length of the summit curve

The term "length of the valley curve" is usually used in the field of highway or railway engineering to describe a specific feature in the roadway design. It refers to the distance along the road or track where the alignment changes from an upward slope (crest) to a downward slope (sag), which creates a concave or valley-like shape.

How to Calculate Length of Valley Curve given Time and Design Speed?

Length of Valley Curve given Time and Design Speed calculator uses Length of Curve = Design Speed*Time to calculate the Length of Curve, Length of Valley Curve given Time and Design Speed formula is defined as the product of Design Speed and Time. Length of Curve is denoted by Ls symbol.

How to calculate Length of Valley Curve given Time and Design Speed using this online calculator? To use this online calculator for Length of Valley Curve given Time and Design Speed, enter Design Speed (v) & Time (t) and hit the calculate button. Here is how the Length of Valley Curve given Time and Design Speed calculation can be explained with given input values -> 40 = 5*4.

FAQ

What is Length of Valley Curve given Time and Design Speed?
Length of Valley Curve given Time and Design Speed formula is defined as the product of Design Speed and Time and is represented as Ls = v*t or Length of Curve = Design Speed*Time. Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway & The time it takes for a vehicle or object to traverse the length of the valley curve while experiencing a specific rate of change of acceleration.
How to calculate Length of Valley Curve given Time and Design Speed?
Length of Valley Curve given Time and Design Speed formula is defined as the product of Design Speed and Time is calculated using Length of Curve = Design Speed*Time. To calculate Length of Valley Curve given Time and Design Speed, you need Design Speed (v) & Time (t). With our tool, you need to enter the respective value for Design Speed & Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Length of Curve?
In this formula, Length of Curve uses Design Speed & Time. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length of Curve = (Design Speed^3)/(Radius of Curve*Rate of Change of Acceleration)
  • Length of Curve = 2*sqrt((Deviation Angle*Design Speed^3)/Rate of Change of Acceleration)
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