Length of Transition Curve based on rate of change of Cant Deficiency Calculator

✖Cant Deficiency is the difference between the actual cant provided and equilibrium cant necessary for the maximum permissible speed on a curve.ⓘ Cant Deficiency [D_Cant]			+10% -10%
✖Maximum Speed of Train on Curve is the maximum permissible speed designed for the train to move on the curve.ⓘ Maximum Speed of Train on Curve [V_Max]			+10% -10%

✖Length of Curve based on Cant Deficiency Rate is the length of the transition curve for turning which is calculated based on the rate of change of cant deficiency.ⓘ Length of Transition Curve based on rate of change of Cant Deficiency [L_CD]

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Length of Transition Curve based on rate of change of Cant Deficiency

Formula

`"L"_{"CD"} = 0.073*"D"_{"Cant"}*"V"_{"Max"}*100`

Example

`"31.025m"=0.073*"5cm"*"85km/h"*100`

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Length of Transition Curve based on rate of change of Cant Deficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve based on Cant Deficiency Rate = 0.073*Cant Deficiency*Maximum Speed of Train on Curve*100
L_CD = 0.073*D_Cant*V_Max*100
This formula uses 3 Variables

Variables Used

Length of Curve based on Cant Deficiency Rate - (Measured in Meter) - Length of Curve based on Cant Deficiency Rate is the length of the transition curve for turning which is calculated based on the rate of change of cant deficiency.
Cant Deficiency - (Measured in Meter) - Cant Deficiency is the difference between the actual cant provided and equilibrium cant necessary for the maximum permissible speed on a curve.
Maximum Speed of Train on Curve - (Measured in Kilometer per Hour) - Maximum Speed of Train on Curve is the maximum permissible speed designed for the train to move on the curve.

STEP 1: Convert Input(s) to Base Unit

Cant Deficiency: 5 Centimeter --> 0.05 Meter (Check conversion here)
Maximum Speed of Train on Curve: 85 Kilometer per Hour --> 85 Kilometer per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_CD = 0.073*D_Cant*V_Max*100 --> 0.073*0.05*85*100

Evaluating ... ...

L_CD = 31.025

STEP 3: Convert Result to Output's Unit

31.025 Meter --> No Conversion Required

FINAL ANSWER

31.025 Meter <-- Length of Curve based on Cant Deficiency Rate

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Transportation Engineering » Railway Engineering » Geometric Design of Railway Track » Transition Curve » Length of Transition Curve based on rate of change of Cant Deficiency

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Created by Adnan H Kotawala

R V College of Engineering (RVCE), Bangalore

Adnan H Kotawala has created this Calculator and 25+ more calculators!

Verified by Rachana B V

The National Institute of Engineering (NIE), Mysuru

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< 10+ Transition Curve Calculators

Speeds from Length of Transition Curves for Normal Speeds

Go Speeds from Length of Curve for Normal Speeds = 134*Length of Transition Curve in meters/(Super Elevation for Transition Curve*1000)

Speeds from Length of Transition Curves for High Speeds

Go Speeds from Length of Curve for High Speeds = 198*Length of Transition Curve in meters/(Super Elevation for Transition Curve*1000)

Length of Transition Curve based on Rate of change of Super Elevation

Go Length of Curve based on Change of superelevation = 0.073*Equilibrium Cant for Max Speed*Maximum Speed of Train on Curve*100

Length of Transition Curve based on rate of change of Cant Deficiency

Go Length of Curve based on Cant Deficiency Rate = 0.073*Cant Deficiency*Maximum Speed of Train on Curve*100

Safe Speed on Transitioned Curves for BG or MG

Go Safe Speed on Transitioned Curves for B.G/M.G = 4.4*0.278*(Radius of Transition Curve-70)^0.5

Safe Speed on Transitioned Curves for NG

Go Safe Speed on Transitioned Curves for N.G = 3.65*0.278*(Radius of Transition Curve-6)^0.5

Length of Transition Curve based on Arbitrary Gradient

Go Length of Curve based on Arbitrary Gradient = 7.20*Equilibrium Cant for Max Speed*100

Radius of Transition Curve for BG or MG

Go Radius of Transition Curve = (Safe Speed on Transitioned Curves for B.G/M.G/4.4)^2+70

Radius of Transition Curve for NG

Go Radius of Transition Curve = (Safe Speed on Transitioned Curves for N.G/3.65)^2+6

Length of Transition Curve as per Railway Code

Go Length of Curve based on Railway Code = 4.4*Radius of Curve^0.5

Length of Transition Curve based on rate of change of Cant Deficiency Formula

Length of Curve based on Cant Deficiency Rate = 0.073*Cant Deficiency*Maximum Speed of Train on Curve*100
L_CD = 0.073*D_Cant*V_Max*100

Length of the transition carve based on the rate of change of cant deficiency

The Length of transition carve based on rate of change of cant deficiency is defined as the length of the transition curve for turning which is calculated based on the rate of change of cant deficiency. The length of the transition curve is length along the centre line of the track from its meeting point with the straight to that with the circular curve.

How to Calculate Length of Transition Curve based on rate of change of Cant Deficiency?

Length of Transition Curve based on rate of change of Cant Deficiency calculator uses Length of Curve based on Cant Deficiency Rate = 0.073*Cant Deficiency*Maximum Speed of Train on Curve*100 to calculate the Length of Curve based on Cant Deficiency Rate, The Length of Transition Curve based on rate of change of Cant Deficiency is defined as the length of the transition curve for turning which is calculated based on the rate of change of cant deficiency. conversion factor for cm to m is added. Length of Curve based on Cant Deficiency Rate is denoted by L_CD symbol.

How to calculate Length of Transition Curve based on rate of change of Cant Deficiency using this online calculator? To use this online calculator for Length of Transition Curve based on rate of change of Cant Deficiency, enter Cant Deficiency (D_Cant) & Maximum Speed of Train on Curve (V_Max) and hit the calculate button. Here is how the Length of Transition Curve based on rate of change of Cant Deficiency calculation can be explained with given input values -> 31.025 = 0.073*0.05*23.6111111111111*100.

FAQ

What is Length of Transition Curve based on rate of change of Cant Deficiency?

The Length of Transition Curve based on rate of change of Cant Deficiency is defined as the length of the transition curve for turning which is calculated based on the rate of change of cant deficiency. conversion factor for cm to m is added and is represented as L_CD = 0.073*D_Cant*V_Max*100 or Length of Curve based on Cant Deficiency Rate = 0.073*Cant Deficiency*Maximum Speed of Train on Curve*100. Cant Deficiency is the difference between the actual cant provided and equilibrium cant necessary for the maximum permissible speed on a curve & Maximum Speed of Train on Curve is the maximum permissible speed designed for the train to move on the curve.

How to calculate Length of Transition Curve based on rate of change of Cant Deficiency?

The Length of Transition Curve based on rate of change of Cant Deficiency is defined as the length of the transition curve for turning which is calculated based on the rate of change of cant deficiency. conversion factor for cm to m is added is calculated using Length of Curve based on Cant Deficiency Rate = 0.073*Cant Deficiency*Maximum Speed of Train on Curve*100. To calculate Length of Transition Curve based on rate of change of Cant Deficiency, you need Cant Deficiency (D_Cant) & Maximum Speed of Train on Curve (V_Max). With our tool, you need to enter the respective value for Cant Deficiency & Maximum Speed of Train on Curve 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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