FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Length of Curve when Sight Distance is More Formula

GoLength of Curve Based on Centrifugal Ratio Formula

GoLength of Curve when Height of Observer and Object are Same Formula

Fx Copy

LaTeX Copy

Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate. Check FAQs

L c = 2 \cdot SD - \frac{200 \cdot {(\sqrt{H} + \sqrt{h 2})}^{2}}{(g 1) - (g 2)}

L_c - Length of Curve?SD - Sight Distance SSD?H - Height of Observer?h₂ - Height of Object?g₁ - Upgrade?g₂ - Downgrade?

Length of Curve when Sight Distance is More Example

With values

With units

Only example

Here is how the Length of Curve when Sight Distance is More equation looks like with Values.

Here is how the Length of Curve when Sight Distance is More equation looks like with Units.

Here is how the Length of Curve when Sight Distance is More equation looks like.

639.5467 = 2 \cdot 490 - \frac{200 \cdot {(\sqrt{1.2} + \sqrt{2})}^{2}}{(2.2) - (-1.5)}

639.5467m = 2 \cdot 490m - \frac{200 \cdot {(\sqrt{1.2m} + \sqrt{2m})}^{2}}{(2.2) - (-1.5)}

639.5467 = 2 \cdot 490 - \frac{200 \cdot {(\sqrt{1.2} + \sqrt{2})}^{2}}{(2.2) - (-1.5)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Surveying Formulas » fx Length of Curve when Sight Distance is More

Length of Curve when Sight Distance is More Solution

Follow our step by step solution on how to calculate Length of Curve when Sight Distance is More?

FIRST Step Consider the formula

L c = 2 \cdot SD - \frac{200 \cdot {(\sqrt{H} + \sqrt{h 2})}^{2}}{(g 1) - (g 2)}

Next Step Substitute values of Variables

∴

L c = 2 \cdot 490m - \frac{200 \cdot {(\sqrt{1.2m} + \sqrt{2m})}^{2}}{(2.2) - (-1.5)}

Next Step Prepare to Evaluate

∴

L c = 2 \cdot 490 - \frac{200 \cdot {(\sqrt{1.2} + \sqrt{2})}^{2}}{(2.2) - (-1.5)}

Next Step Evaluate

∴

L c = 639.546666109949m

LAST Step Rounding Answer

∴

L c = 639.5467m

Length of Curve when Sight Distance is More Formula Elements

Variables

Functions

Length of Curve

Length of Curve is determined by the permissible rate of change of grade or from centrifugal consideration as appropriate.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Curve

Sight Distance SSD

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.

Symbol: SD

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Sight Distance SSD

Height of Observer

Height of Observer is the length or vertical length of the observer.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of Observer

Height of Object

Height of Object is the vertical distance of the object which is being observed.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height of Object

Upgrade

Upgrade is the gradient or the slope which is towards the crest of a curve. Mentioned by %.

Symbol: g₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Upgrade

Downgrade

Downgrade is the gradient or the slope which is guided to the downward direction of a curve. Mentioned by %.

Symbol: g₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Downgrade

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Length of Curve

Go Length of Curve Based on Centrifugal Ratio

L c = ((g 1) - (g 2)) \cdot \frac{V^{2}}{100 \cdot f}

Go Length of Curve when Height of Observer and Object are Same

L c = 2 \cdot SD - (800 \cdot \frac{h}{(g 1) - (g 2)})

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

L c = 2 \cdot SD - (800 \cdot \frac{h}{N})

Go Length of Curve when S is Less than L

L c = {SD}^{2} \cdot \frac{(g 1) - (g 2)}{200 \cdot {(\sqrt{H} + \sqrt{h 2})}^{2}}

Other formulas in Surveying Vertical Curves category

Go Length of Vertical Curve

L = \frac{N}{P N}

Go Change of Grade given Length

N = L \cdot P N

Go Permissible Grade given Length

P N = \frac{N}{L}

Go Upgrade given Length based on Centrifugal Ratio

g 1 = (L c \cdot 100 \cdot \frac{f}{V^{2}}) + (g 2)

How to Evaluate Length of Curve when Sight Distance is More?

Length of Curve when Sight Distance is More evaluator uses Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade)) to evaluate the Length of Curve, The Length of Curve when Sight Distance is More is defined as a situation to find the length of the vertical curve if the sight distance or the distance between two vehicles are larger than the curve length itself. Length of Curve is denoted by L_c symbol.

How to evaluate Length of Curve when Sight Distance is More using this online evaluator? To use this online evaluator for Length of Curve when Sight Distance is More, enter Sight Distance SSD (SD), Height of Observer (H), Height of Object (h₂), Upgrade (g₁) & Downgrade (g₂) and hit the calculate button.

FAQs on Length of Curve when Sight Distance is More

What is the formula to find Length of Curve when Sight Distance is More?

The formula of Length of Curve when Sight Distance is More is expressed as Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade)). Here is an example- 639.5467 = 2*490-(200*(sqrt(1.2)+sqrt(2))^2)/((2.2)-((-1.5))).

How to calculate Length of Curve when Sight Distance is More?

With Sight Distance SSD (SD), Height of Observer (H), Height of Object (h₂), Upgrade (g₁) & Downgrade (g₂) we can find Length of Curve when Sight Distance is More using the formula - Length of Curve = 2*Sight Distance SSD-(200*(sqrt(Height of Observer)+sqrt(Height of Object))^2)/((Upgrade)-(Downgrade)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Curve?

Here are the different ways to Calculate Length of Curve-

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

Can the Length of Curve when Sight Distance is More be negative?

Yes, the Length of Curve when Sight Distance is More, measured in Length can be negative.

Which unit is used to measure Length of Curve when Sight Distance is More?

Length of Curve when Sight Distance is More is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Curve when Sight Distance is More can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Length of Curve when Sight Distance is More Formula

​GoLength of Curve Based on Centrifugal Ratio Formula

​GoLength of Curve when Height of Observer and Object are Same Formula

Length of Curve when Sight Distance is More Example

Length of Curve when Sight Distance is More Solution

Length of Curve when Sight Distance is More Formula Elements

Other Formulas to find Length of Curve

Other formulas in Surveying Vertical Curves category

How to Evaluate Length of Curve when Sight Distance is More?

FAQs on Length of Curve when Sight Distance is More

Variable Name

GoLength of Curve Based on Centrifugal Ratio Formula

GoLength of Curve when Height of Observer and Object are Same Formula