Length of Transition Curve given Time Rate Calculator

✖Railway Gauge is taken as the distance between the two rails and is represented by a gauge.ⓘ Railway Gauge [G]			+10% -10%
✖Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.ⓘ Vehicle Velocity [V]			+10% -10%
✖Super elevation Time Rate is the rate of time needed for the application of super elevation.ⓘ Super Elevation Time Rate [x]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.ⓘ Curve Radius [R_Curve]			+10% -10%

✖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.ⓘ Length of Transition Curve given Time Rate [L_a]

⎘ Copy

👎

Formula

✖

Length of Transition Curve given Time Rate

Formula

`"L"_{"a"} = "G"*"V"^3/("x"*"g"*"R"_{"Curve"})`

Example

`"108.8435m"="0.90m"*("80km/h")^3/("60cm/s"*"9.8m/s²"*"200m")`

Calculator

LaTeX

Reset

👍

Download Transition Curves Surveying Formulas PDF

Length of Transition Curve given Time Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius)
L_a = G*V^3/(x*g*R_Curve)
This formula uses 6 Variables

Variables Used

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.
Railway Gauge - (Measured in Meter) - Railway Gauge is taken as the distance between the two rails and is represented by a gauge.
Vehicle Velocity - (Measured in Kilometer per Hour) - Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time.
Super Elevation Time Rate - (Measured in Kilometer per Hour) - Super elevation Time Rate is the rate of time needed for the application of super elevation.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
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

Railway Gauge: 0.9 Meter --> 0.9 Meter No Conversion Required
Vehicle Velocity: 80 Kilometer per Hour --> 80 Kilometer per Hour No Conversion Required
Super Elevation Time Rate: 60 Centimeter per Second --> 2.16 Kilometer per Hour (Check conversion here)
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Curve Radius: 200 Meter --> 200 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_a = G*V^3/(x*g*R_Curve) --> 0.9*80^3/(2.16*9.8*200)

Evaluating ... ...

L_a = 108.843537414966

STEP 3: Convert Result to Output's Unit

108.843537414966 Meter --> No Conversion Required

FINAL ANSWER

108.843537414966 ≈ 108.8435 Meter <-- Transition Curve Length

(Calculation completed in 00.005 seconds)

You are here -

Home » Engineering » Civil » Surveying Formulas » Transition Curves Surveying » Length of Transition Curve » Length of Transition Curve given Time Rate

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 M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 10+ Length of Transition Curve Calculators

Length given Angle of Super Elevation

Go Transition Curve Length = (Acceleration due to Gravity*tan(Super Elevation Angle))^1.5*sqrt(Curve Radius)/Rate of Radial Acceleration

Length of Transition Curve given Time Rate

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

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

Hands-Off Velocity

Go Hands off Velocity = sqrt(Acceleration due to Gravity*Radius of Curve*tan(Angle of Super Elevation))

Rate of Change of Radial Acceleration

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

Time Taken given Radial Acceleration

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

Length of Transition Curve given Shift

Go Transition Curve Length = sqrt(Shift*24*Curve Radius)

Shift of Curve

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

Length when Comfort Condition Holds Good for Highways

Go Transition Curve Length = 12.80*sqrt(Curve Radius)

Length when Comfort Condition Holds Good for Railways

Go Transition Curve Length = 4.52*sqrt(Curve Radius)

Length of Transition Curve given Time Rate Formula

Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius)
L_a = G*V^3/(x*g*R_Curve)

What Factors can Affect the Length of a Transition Curve?

The length of a transition curve can be affected by various factors such as the maximum permissible speed of the train, the radius of the curve, the superelevation of the curve, the type of train, and the terrain in which the track is laid. These factors must be taken into account when designing a transition curve to ensure its safety and efficiency.

What is the Purpose of a Transition Curve?

The purpose of a transition curve is to allow a train to smoothly transition from a straight track to a curved track without experiencing any sudden changes in direction or lateral forces. This helps to reduce wear and tear on the track and rolling stock, as well as increasing safety for passengers and crew.

How to Calculate Length of Transition Curve given Time Rate?

Length of Transition Curve given Time Rate calculator uses Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius) to calculate the Transition Curve Length, The Length of Transition Curve given Time Rate formula is defined as full superelevation attained at the end of the transition curve and applied at a suitable rate. Transition Curve Length is denoted by L_a symbol.

How to calculate Length of Transition Curve given Time Rate using this online calculator? To use this online calculator for Length of Transition Curve given Time Rate, enter Railway Gauge (G), Vehicle Velocity (V), Super Elevation Time Rate (x), Acceleration due to Gravity (g) & Curve Radius (R_Curve) and hit the calculate button. Here is how the Length of Transition Curve given Time Rate calculation can be explained with given input values -> 145.1247 = 0.9*22.2222222222222^3/(0.6*9.8*200).

FAQ

What is Length of Transition Curve given Time Rate?

The Length of Transition Curve given Time Rate formula is defined as full superelevation attained at the end of the transition curve and applied at a suitable rate and is represented as L_a = G*V^3/(x*g*R_Curve) or Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius). Railway Gauge is taken as the distance between the two rails and is represented by a gauge, Vehicle Velocity can be described as the amount of distance vehicle travelled in a perticular time, Super elevation Time Rate is the rate of time needed for the application of super elevation, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Curve Radius is the radius of a circle whose part, say, arc is taken for consideration.

How to calculate Length of Transition Curve given Time Rate?

The Length of Transition Curve given Time Rate formula is defined as full superelevation attained at the end of the transition curve and applied at a suitable rate is calculated using Transition Curve Length = Railway Gauge*Vehicle Velocity^3/(Super Elevation Time Rate*Acceleration due to Gravity*Curve Radius). To calculate Length of Transition Curve given Time Rate, you need Railway Gauge (G), Vehicle Velocity (V), Super Elevation Time Rate (x), Acceleration due to Gravity (g) & Curve Radius (R_Curve). With our tool, you need to enter the respective value for Railway Gauge, Vehicle Velocity, Super Elevation Time Rate, Acceleration due to Gravity & Curve Radius 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 Transition Curve Length?

In this formula, Transition Curve Length uses Railway Gauge, Vehicle Velocity, Super Elevation Time Rate, Acceleration due to Gravity & Curve Radius. We can use 4 other way(s) to calculate the same, which is/are as follows -

Transition Curve Length = (Acceleration due to Gravity*tan(Super Elevation Angle))^1.5*sqrt(Curve Radius)/Rate of Radial Acceleration
Transition Curve Length = 4.52*sqrt(Curve Radius)
Transition Curve Length = 12.80*sqrt(Curve Radius)
Transition Curve Length = sqrt(Shift*24*Curve Radius)

Home

FREE PDFs

🔍 Search