Shift of Curve Calculator

✖Transition Curve Length should be such that full super elevation is attained at the end of the transition curve and applied at a suitable rate.ⓘ Transition Curve Length [L_a]			+10% -10%
✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%

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

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Shift of Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shift = Transition Curve Length^2/(24*Curve Radius)
S = L_a^2/(24*R_Curve)
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.
Transition Curve Length - (Measured in Meter) - Transition Curve Length should be such that full super elevation is attained at the end of the transition curve and applied at a suitable rate.
Curve Radius - (Measured in Meter) - Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

STEP 1: Convert Input(s) to Base Unit

Transition Curve Length: 145 Meter --> 145 Meter No Conversion Required
Curve Radius: 200 Meter --> 200 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = L_a^2/(24*R_Curve) --> 145^2/(24*200)

Evaluating ... ...

S = 4.38020833333333

STEP 3: Convert Result to Output's Unit

4.38020833333333 Meter --> No Conversion Required

FINAL ANSWER

4.38020833333333 ≈ 4.380208 Meter <-- Shift

(Calculation completed in 00.004 seconds)

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Credits

Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Length of Transition Curve Calculators

Length of Transition Curve given Time Rate

LaTeX Go Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius)

Time Rate given Length of Transition Curve

LaTeX Go Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*Acceleration due to Gravity*Curve Radius)

Rate of Change of Radial Acceleration

LaTeX Go Rate of Radial Acceleration = (Vehicle Velocity^2/(Curve Radius*Time taken to Travel))

Time Taken given Radial Acceleration

LaTeX Go Time taken to Travel = (Vehicle Velocity^2/(Curve Radius*Rate of Radial Acceleration))

Shift of Curve Formula

LaTeX Go

Shift = Transition Curve Length^2/(24*Curve Radius)
S = L_a^2/(24*R_Curve)

What is a Shift of a Curve?

A shift of a curve refers to a movement of the curve either to the left or right, or upward or downward, as a result of changes in the independent variable or the values of the constants or parameters.

How to Calculate Shift of Curve?

Shift of Curve calculator uses Shift = Transition Curve Length^2/(24*Curve Radius) to calculate the Shift, The Shift of Curve formula is defined as the distance by which the curve shifts or moves to accommodate the shape of the transition curve. If the transition curve is a cubic parabola, then the shift is calculated by the above equation. Shift is denoted by S symbol.

How to calculate Shift of Curve using this online calculator? To use this online calculator for Shift of Curve, enter Transition Curve Length (L_a) & Curve Radius (R_Curve) and hit the calculate button. Here is how the Shift of Curve calculation can be explained with given input values -> 4.380208 = 145^2/(24*200).

FAQ

What is Shift of Curve?

The Shift of Curve formula is defined as the distance by which the curve shifts or moves to accommodate the shape of the transition curve. If the transition curve is a cubic parabola, then the shift is calculated by the above equation and is represented as S = L_a^2/(24*R_Curve) or Shift = Transition Curve Length^2/(24*Curve Radius). Transition Curve Length should be such that full super elevation is attained at the end of the transition curve and applied at a suitable rate & Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

How to calculate Shift of Curve?

The Shift of Curve formula is defined as the distance by which the curve shifts or moves to accommodate the shape of the transition curve. If the transition curve is a cubic parabola, then the shift is calculated by the above equation is calculated using Shift = Transition Curve Length^2/(24*Curve Radius). To calculate Shift of Curve, you need Transition Curve Length (L_a) & Curve Radius (R_Curve). With our tool, you need to enter the respective value for Transition Curve Length & Curve Radius 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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