Shift given Length of Transition Curve Calculator

⤿

Design of Transition Curves and Setback Distances

✖Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.ⓘ Length of Transition Curve [L_c]			+10% -10%
✖Radius of Curve typically represents the minimum radius of the curve.ⓘ Radius of Curve [R]			+10% -10%

✖Shift is the distance by which the curve moves in order to accommodate the shape of transition curve.ⓘ Shift given Length of Transition Curve [s]

⎘ Copy

👎

Formula

✖

Shift given Length of Transition Curve

Formula

`"s" = "L"_{"c"}^2/(24*"R")`

Example

`"576.9231m"=("180m")^2/(24*"2.34m")`

Calculator

LaTeX

Reset

👍

Download Transportation System Formula PDF PDF Image

Shift given Length of Transition Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shift = Length of Transition Curve^2/(24*Radius of Curve)
s = L_c^2/(24*R)
This formula uses 3 Variables

Variables Used

Shift - (Measured in Meter) - Shift is the distance by which the curve moves in order to accommodate the shape of transition curve.
Length of Transition Curve - (Measured in Meter) - Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve.
Radius of Curve - (Measured in Meter) - Radius of Curve typically represents the minimum radius of the curve.

STEP 1: Convert Input(s) to Base Unit

Length of Transition Curve: 180 Meter --> 180 Meter No Conversion Required
Radius of Curve: 2.34 Meter --> 2.34 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = L_c^2/(24*R) --> 180^2/(24*2.34)

Evaluating ... ...

s = 576.923076923077

STEP 3: Convert Result to Output's Unit

576.923076923077 Meter --> No Conversion Required

FINAL ANSWER

576.923076923077 ≈ 576.9231 Meter <-- Shift

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Transportation System » Design of Transition Curves and Setback Distances » Shift given Length of Transition Curve

Credits

Created by Avayjit Das

University of Engineering and Management,Kolkata (UEMK), Kolkata

Avayjit Das has created this Calculator and 25+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has verified this Calculator and 400+ more calculators!

< 13 Design of Transition Curves and Setback Distances Calculators

Setback Distance for Multi Lane Road where Ls is greater than Lc

Go Setback Distance = Radius for Transition Curve-(Radius for Transition Curve-Center Distance between Road and Inner Lane)*cos(Angle subtended by Radius of Curve for Single Lane/2)+((Sight Distance-Length of Transition Curve)/2)*sin(Angle subtended by Radius of Curve for Single Lane/2)

Setback Distance for Single Lane Road where Ls is greater than Lc

Go Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2)+((Sight Distance-Length of Transition Curve)/2)*sin(Angle subtended by Radius of Curve for Single Lane/2)

Angle Subtended by Radius of Curve for Multi Lane Road

Go Angle subtended by Radius of Curve for Multi Lane = (180*Length of Transition Curve)/(pi*(Radius for Transition Curve-Center Distance between Road and Inner Lane))

Length of Transition Curve given Super-Elevation

Go Length of Transition Curve = Allowable Rate of Super Elevation*Rate of Super Elevation*(Total Widening Needed at Horizontal Curve+Normal Width of Pavement)

Setback Distance where Ls is Smaller than Lc

Go Setback Distance = Radius for Transition Curve-Radius for Transition Curve*cos(Angle subtended by Radius of Curve for Single Lane/2)

Curve Resistance

Go Curve Resistance = Tractive Force-Tractive Force*cos(Angle subtended by Radius of Curve for Single Lane)

Length of Transition Curve given Centrifugal Acceleration

Go Length of Transition Curve = Velocity^3/(Rate of Change of Centrifugal Acceleration*Radius for Transition Curve)

Rate of Change of Centrifugal Acceleration

Go Rate of Change of Centrifugal Acceleration = Velocity^3/(Length of Transition Curve*Radius for Transition Curve)

Angle Subtended by Radius of Curve for Single Lane Road

Go Angle subtended by Radius of Curve for Single Lane = (180*Shift)/(pi*Radius for Transition Curve)

Length of Transition Curve for Steep and Hilly Terrains

Go Length of Transition Curve = (12.96*Velocity^2)/Radius for Transition Curve

Length of Transition for Curve Plain and Rolling Terrain

Go Length of Transition Curve = (35*Velocity^2)/Radius for Transition Curve

Shift given Length of Transition Curve

Go Shift = Length of Transition Curve^2/(24*Radius of Curve)

Rate of Change of Centrifugal Acceleration given Empirical Formula

Go Rate of Change of Centrifugal Acceleration = 80/(75+3.6*Velocity)

Shift given Length of Transition Curve Formula

Shift = Length of Transition Curve^2/(24*Radius of Curve)
s = L_c^2/(24*R)

What is range of rate of change of centrifugal acceleration?

The minimum value of change of centrifugal acceleration is 0.5 m/sec3 and the maximum value is 0.8m/sec3

How to Calculate Shift given Length of Transition Curve?

Shift given Length of Transition Curve calculator uses Shift = Length of Transition Curve^2/(24*Radius of Curve) to calculate the Shift, The Shift given Length of Transition Curve formula is defined as the distance by which the curve moves in order to accommodate the shape of transition curve. Shift is denoted by s symbol.

How to calculate Shift given Length of Transition Curve using this online calculator? To use this online calculator for Shift given Length of Transition Curve, enter Length of Transition Curve (L_c) & Radius of Curve (R) and hit the calculate button. Here is how the Shift given Length of Transition Curve calculation can be explained with given input values -> 9.419516 = 180^2/(24*2.34).

FAQ

What is Shift given Length of Transition Curve?

The Shift given Length of Transition Curve formula is defined as the distance by which the curve moves in order to accommodate the shape of transition curve and is represented as s = L_c^2/(24*R) or Shift = Length of Transition Curve^2/(24*Radius of Curve). Length of Transition Curve is a curve in plan which is provided to change the horizontal alignment from straight to circular curve & Radius of Curve typically represents the minimum radius of the curve.

How to calculate Shift given Length of Transition Curve?

The Shift given Length of Transition Curve formula is defined as the distance by which the curve moves in order to accommodate the shape of transition curve is calculated using Shift = Length of Transition Curve^2/(24*Radius of Curve). To calculate Shift given Length of Transition Curve, you need Length of Transition Curve (L_c) & Radius of Curve (R). With our tool, you need to enter the respective value for Length of Transition Curve & Radius of Curve and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search