Length of Curve when S is Less than L and h1 and h2 are same Calculator

✖Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.ⓘ Upgrade [g₁]			+10% -10%
✖Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.ⓘ Downgrade [g₂]			+10% -10%
✖Sight Distance SSD is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.ⓘ Sight Distance SSD [SD]			+10% -10%
✖Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright.ⓘ Height of Vertical Curves [h]			+10% -10%

✖Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.ⓘ Length of Curve when S is Less than L and h1 and h2 are same [L_c]

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Formula

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Length of Curve when S is Less than L and h1 and h2 are same

Formula

`"L"_{"c"} = (("g"_{"1"})-("g"_{"2"}))*"SD"^2/(800*"h")`

Example

`"653.2132m"=(("2.2")-("-1.5"))*("490m")^2/(800*"1.7m")`

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Length of Curve when S is Less than L and h1 and h2 are same Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves)
L_c = ((g₁)-(g₂))*SD^2/(800*h)
This formula uses 5 Variables

Variables Used

Length of Curve - (Measured in Meter) - Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.
Upgrade - Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.
Downgrade - Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.
Sight Distance SSD - (Measured in Meter) - Sight Distance SSD is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road.
Height of Vertical Curves - (Measured in Meter) - Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright.

STEP 1: Convert Input(s) to Base Unit

Upgrade: 2.2 --> No Conversion Required
Downgrade: -1.5 --> No Conversion Required
Sight Distance SSD: 490 Meter --> 490 Meter No Conversion Required
Height of Vertical Curves: 1.7 Meter --> 1.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_c = ((g₁)-(g₂))*SD^2/(800*h) --> ((2.2)-((-1.5)))*490^2/(800*1.7)

Evaluating ... ...

L_c = 653.213235294118

STEP 3: Convert Result to Output's Unit

653.213235294118 Meter --> No Conversion Required

FINAL ANSWER

653.213235294118 ≈ 653.2132 Meter <-- Length of Curve

(Calculation completed in 00.004 seconds)

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< 19 Surveying Vertical Curves Calculators

Sight Distance when Length of Curve is Less

Go Sight Distance SSD = 0.5*Length of Curve+(100*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))

Length of Curve when Sight Distance is More

Go Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))

Length of Curve when S is Less than L

Go Length of Curve = Sight Distance SSD^2*((Upgrade)-(Downgrade))/(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)

Velocity given Length

Go Vehicle Velocity = sqrt((Length of Curve*100*Allowable Centrifugal Acceleration)/(Upgrade-(Downgrade)))

Sight Distance when S is Less than L and h1 and h2 are same

Go Sight Distance SSD = sqrt((800*Height of Vertical Curves*Length of Curve)/((Upgrade)-(Downgrade)))

Sight Distance when S is Less than L

Go Sight Distance = (1/Tangential Correction)*(sqrt(Height of Observer)+sqrt(Height of Object))

Allowable Centrifugal Acceleration given Length

Go Allowable Centrifugal Acceleration = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Length of Curve)

Length of Curve Based on Centrifugal Ratio

Go Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration)

Upgrade given Length based on Centrifugal Ratio

Go Upgrade = (Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)+(Downgrade)

Sight Distance when Length of Curve is Less and Both Height of Observer and Object is Same

Go Sight Distance SSD = (Length of Curve/2)+(400*Height of Vertical Curves/((Upgrade)-(Downgrade)))

Downgrade given Length based on Centrifugal Ratio

Go Downgrade = Upgrade-(Length of Curve*100*Allowable Centrifugal Acceleration/Vehicle Velocity^2)

Length of Curve when S is Less than L and h1 and h2 are same

Go Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves)

Length of Curve when Height of Observer and Object are Same

Go Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade)))

Length of Curve given Change in Grade where S is more than L

Go Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade)

Length given S is Less than L and Change of Grade

Go Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves)

Tangential Correction

Go Tangential Correction = (Upgrade-Downgrade)/4*Number of Chords

Permissible Grade given Length

Go Permissible Rate = Change in Grade/Length of Vertical Curve

Change of Grade given Length

Go Change in Grade = Length of Vertical Curve*Permissible Rate

Length of Vertical Curve

Go Length of Vertical Curve = Change in Grade/Permissible Rate

Length of Curve when S is Less than L and h1 and h2 are same Formula

Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves)
L_c = ((g₁)-(g₂))*SD^2/(800*h)

What is the purpose of a Vertical Curve?

The purpose of a vertical curve is to provide a smooth transition between two different gradients on a road or railway track. This helps to ensure that drivers or passengers have a comfortable and safe ride. Without vertical curves, abrupt changes in gradient can cause discomfort and even accidents.

How the Valley or Vertical Curve should be designed?

The valley curve should be designed such that there is enough headlight sight distance. Improperly designed valley curves results in extreme riding discomfort as well as accident risks especially at nights. The length of valley curve for various cases were also explained in the section. The concept of valley curve is used in underpasses.

How to Calculate Length of Curve when S is Less than L and h1 and h2 are same?

Length of Curve when S is Less than L and h1 and h2 are same calculator uses Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves) to calculate the Length of Curve, The Length of Curve when S is Less than L and h1 and h2 are same is defined for a situation where both the vehicle heights are same. Length of Curve is denoted by L_c symbol.

How to calculate Length of Curve when S is Less than L and h1 and h2 are same using this online calculator? To use this online calculator for Length of Curve when S is Less than L and h1 and h2 are same, enter Upgrade (g₁), Downgrade (g₂), Sight Distance SSD (SD) & Height of Vertical Curves (h) and hit the calculate button. Here is how the Length of Curve when S is Less than L and h1 and h2 are same calculation can be explained with given input values -> 653.2132 = ((2.2)-((-1.5)))*490^2/(800*1.7).

FAQ

What is Length of Curve when S is Less than L and h1 and h2 are same?

The Length of Curve when S is Less than L and h1 and h2 are same is defined for a situation where both the vehicle heights are same and is represented as L_c = ((g₁)-(g₂))*SD^2/(800*h) or Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves). Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %, Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %, Sight Distance SSD is s the minimum distance between two vehicles moving along a curve, when the driver of one vehicle can just see the other vehicle on the road & Height of Vertical Curves is the distance between the lowest and highest points of a person standing upright.

How to calculate Length of Curve when S is Less than L and h1 and h2 are same?

The Length of Curve when S is Less than L and h1 and h2 are same is defined for a situation where both the vehicle heights are same is calculated using Length of Curve = ((Upgrade)-(Downgrade))*Sight Distance SSD^2/(800*Height of Vertical Curves). To calculate Length of Curve when S is Less than L and h1 and h2 are same, you need Upgrade (g₁), Downgrade (g₂), Sight Distance SSD (SD) & Height of Vertical Curves (h). With our tool, you need to enter the respective value for Upgrade, Downgrade, Sight Distance SSD & Height of Vertical Curves 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 Length of Curve?

In this formula, Length of Curve uses Upgrade, Downgrade, Sight Distance SSD & Height of Vertical Curves. We can use 6 other way(s) to calculate the same, which is/are as follows -

Length of Curve = ((Upgrade)-(Downgrade))*Vehicle Velocity^2/(100*Allowable Centrifugal Acceleration)
Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade))
Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/((Upgrade)-(Downgrade)))
Length of Curve = 2*Sight Distance SSD-(800*Height of Vertical Curves/Change in Grade)
Length of Curve = Sight Distance SSD^2*((Upgrade)-(Downgrade))/(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)
Length of Curve = Change in Grade*Sight Distance SSD^2/(800*Height of Vertical Curves)

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