Time Rate given Length of Transition Curve 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%
✖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%
✖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%

✖Super elevation Time Rate is the rate of time needed for the application of super elevation.ⓘ Time Rate given Length of Transition Curve [x]

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Formula

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Time Rate given Length of Transition Curve

Formula

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

Example

`"45.03871cm/s"="0.90m"*("80km/h")^3/("145m"*"9.8m/s²"*"200m")`

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Download Transition Curves Surveying Formulas PDF

Time Rate given Length of Transition Curve Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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
Transition Curve Length: 145 Meter --> 145 Meter No Conversion Required
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

x = G*V^3/(L_a*g*R_Curve) --> 0.9*80^3/(145*9.8*200)

Evaluating ... ...

x = 1.62139338494018

STEP 3: Convert Result to Output's Unit

0.450387051372273 Meter per Second -->45.0387051372273 Centimeter per Second (Check conversion here)

FINAL ANSWER

45.0387051372273 ≈ 45.03871 Centimeter per Second <-- Super Elevation Time Rate

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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

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National Institute of Technology (NIT), Warangal

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< 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)

Time Rate given Length of Transition Curve Formula

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

What are the Factors that Affect the Time Rate on a Transition Curve?

The time rate of a vehicle on a transition curve is affected by several factors, including the design speed of the road, the degree of curvature of the curve, the superelevation of the road, and the coefficient of friction between the vehicle's tires and the road surface.

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 increase safety for passengers and crew.

How to Calculate Time Rate given Length of Transition Curve?

Time Rate given Length of Transition Curve calculator uses Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*Acceleration due to Gravity*Curve Radius) to calculate the Super Elevation Time Rate, The Time Rate given Length of Transition Curve formula is defined as the time or rate of time for applying the superelevation. Here time is in cm/s and cant is in cm. Super Elevation Time Rate is denoted by x symbol.

How to calculate Time Rate given Length of Transition Curve using this online calculator? To use this online calculator for Time Rate given Length of Transition Curve, enter Railway Gauge (G), Vehicle Velocity (V), Transition Curve Length (L_a), Acceleration due to Gravity (g) & Curve Radius (R_Curve) and hit the calculate button. Here is how the Time Rate given Length of Transition Curve calculation can be explained with given input values -> 6005.161 = 0.9*22.2222222222222^3/(145*9.8*200).

FAQ

What is Time Rate given Length of Transition Curve?

The Time Rate given Length of Transition Curve formula is defined as the time or rate of time for applying the superelevation. Here time is in cm/s and cant is in cm and is represented as x = G*V^3/(L_a*g*R_Curve) or Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*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, 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, 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 Time Rate given Length of Transition Curve?

The Time Rate given Length of Transition Curve formula is defined as the time or rate of time for applying the superelevation. Here time is in cm/s and cant is in cm is calculated using Super Elevation Time Rate = Railway Gauge*Vehicle Velocity^3/(Transition Curve Length*Acceleration due to Gravity*Curve Radius). To calculate Time Rate given Length of Transition Curve, you need Railway Gauge (G), Vehicle Velocity (V), Transition Curve Length (L_a), Acceleration due to Gravity (g) & Curve Radius (R_Curve). With our tool, you need to enter the respective value for Railway Gauge, Vehicle Velocity, Transition Curve Length, 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.

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