Radius of Curve given Length of Valley Curve Calculator

✖Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway.ⓘ Design Speed [v]			+10% -10%
✖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 [L_s]			+10% -10%
✖Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.ⓘ Rate of Change of Acceleration [C_a]			+10% -10%

✖Radius of Curve typically represents the minimum radius of the curve.ⓘ Radius of Curve given Length of Valley Curve [R]

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Radius of Curve given Length of Valley Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration)
R = (v^3)/(L_s*C_a)
This formula uses 4 Variables

Variables Used

Radius of Curve - (Measured in Meter) - Radius of Curve typically represents the minimum radius of the curve.
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.
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.
Rate of Change of Acceleration - (Measured in Meter per Second) - Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.

STEP 1: Convert Input(s) to Base Unit

Design Speed: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Length of Curve: 7 Meter --> 7 Meter No Conversion Required
Rate of Change of Acceleration: 4.2 Meter per Second --> 4.2 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (v^3)/(L_s*C_a) --> (5^3)/(7*4.2)

Evaluating ... ...

R = 4.25170068027211

STEP 3: Convert Result to Output's Unit

4.25170068027211 Meter --> No Conversion Required

FINAL ANSWER

4.25170068027211 ≈ 4.251701 Meter <-- Radius of Curve

(Calculation completed in 00.004 seconds)

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Home » Physics » Transportation System » Vertical alignment » Length of Valley Curve » Mechanical » Design of Valley Curve » Radius of Curve given Length of Valley Curve

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Dayanada Sagar college of Engineering (DSCE), banglore

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< Design of Valley Curve Calculators

Design Speed given Length of Valley Curve

LaTeX Go Design Speed = (Length of Curve*Radius of Curve*Rate of Change of Acceleration)^(1/3)

Radius of Curve given Length of Valley Curve

LaTeX Go Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration)

Rate of Change of Acceleration

LaTeX Go Rate of Change of Acceleration = (Design Speed^3)/(Length of Curve*Radius of Curve)

Length of Valley Curve given Time and Design Speed

LaTeX Go Length of Curve = Design Speed*Time

Radius of Curve given Length of Valley Curve Formula

LaTeX Go

Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration)
R = (v^3)/(L_s*C_a)

The Length of a Summit Curve

In transportation or road design, the length of a summit curve refers to the distance necessary for a road to smoothly transition from an uphill segment to a downhill segment while ensuring safe visibility and navigation for vehicles. This is important for the safety of drivers and passengers.

How to Calculate Radius of Curve given Length of Valley Curve?

Radius of Curve given Length of Valley Curve calculator uses Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration) to calculate the Radius of Curve, Radius of Curve given Length of Valley Curve formula is defined as as the cube of the design speed and dividing it by the product of the length of the curve and the rate of change of acceleration. Radius of Curve is denoted by R symbol.

How to calculate Radius of Curve given Length of Valley Curve using this online calculator? To use this online calculator for Radius of Curve given Length of Valley Curve, enter Design Speed (v), Length of Curve (L_s) & Rate of Change of Acceleration (C_a) and hit the calculate button. Here is how the Radius of Curve given Length of Valley Curve calculation can be explained with given input values -> 4.251701 = (5^3)/(7*4.2).

FAQ

What is Radius of Curve given Length of Valley Curve?

Radius of Curve given Length of Valley Curve formula is defined as as the cube of the design speed and dividing it by the product of the length of the curve and the rate of change of acceleration and is represented as R = (v^3)/(L_s*C_a) or Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration). Design speed refers to the intended or planned operating speed for a particular section of a roadway or railway, Length of Curve is the distance along the road where the alignment changes from upward to downward slope, creating a valley-shaped concave & Rate of Change of Acceleration refers to how quickly the acceleration of an object changes over time.

How to calculate Radius of Curve given Length of Valley Curve?

Radius of Curve given Length of Valley Curve formula is defined as as the cube of the design speed and dividing it by the product of the length of the curve and the rate of change of acceleration is calculated using Radius of Curve = (Design Speed^3)/(Length of Curve*Rate of Change of Acceleration). To calculate Radius of Curve given Length of Valley Curve, you need Design Speed (v), Length of Curve (L_s) & Rate of Change of Acceleration (C_a). With our tool, you need to enter the respective value for Design Speed, Length of Curve & Rate of Change of Acceleration 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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