Set Back Distance by Approx Method (L is less than S) Calculator

✖Length of curve is defined as the arc length in a parabolic curves.ⓘ Length of Curve [L_c]			+10% -10%
✖Stopping Sight Distance is defined as distance provided on the road before a sharp turn.ⓘ Stopping Sight Distance [SSD]			+10% -10%
✖Radius of Curve for Road can be defined as the radius at which the spiral is joined.ⓘ Radius of Curve for Road [R_t]			+10% -10%

✖Set back distance is the distance required from the centerline of a horizontal curve to an obstruction on the inner side of the curve to provide adequate sight distance at a horizontal curve.ⓘ Set Back Distance by Approx Method (L is less than S) [m]

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Formula

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Set Back Distance by Approx Method (L is less than S)

Formula

`"m" = ("L"_{"c"}*(2*"SSD"-"L"_{"c"}))/(8*"R"_{"t"})`

Example

`"10.5m"=("140m"*(2*"160m"-"140m"))/(8*"300m")`

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Set Back Distance by Approx Method (L is less than S) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve for Road)
m = (L_c*(2*SSD-L_c))/(8*R_t)
This formula uses 4 Variables

Variables Used

Set Back Distance - (Measured in Meter) - Set back distance is the distance required from the centerline of a horizontal curve to an obstruction on the inner side of the curve to provide adequate sight distance at a horizontal curve.
Length of Curve - (Measured in Meter) - Length of curve is defined as the arc length in a parabolic curves.
Stopping Sight Distance - (Measured in Meter) - Stopping Sight Distance is defined as distance provided on the road before a sharp turn.
Radius of Curve for Road - (Measured in Meter) - Radius of Curve for Road can be defined as the radius at which the spiral is joined.

STEP 1: Convert Input(s) to Base Unit

Length of Curve: 140 Meter --> 140 Meter No Conversion Required
Stopping Sight Distance: 160 Meter --> 160 Meter No Conversion Required
Radius of Curve for Road: 300 Meter --> 300 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = (L_c*(2*SSD-L_c))/(8*R_t) --> (140*(2*160-140))/(8*300)

Evaluating ... ...

m = 10.5

STEP 3: Convert Result to Output's Unit

10.5 Meter --> No Conversion Required

FINAL ANSWER

10.5 Meter <-- Set Back Distance

(Calculation completed in 00.004 seconds)

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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!

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The National Institute of Engineering (NIE), Mysuru

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< 3 Set Back Distance and curve Resistance Calculators

Set Back Distance by Rational Method (L is greater than S) Single Lane

Go Set Back Distance = Radius of Curve for Road-Radius of Curve for Road*cos((Stopping Sight Distance)/(2*Radius of Curve for Road))

Set Back Distance by Approx Method (L is less than S)

Go Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve for Road)

Set Back Distance by Approx Method (L is greater than S)

Go Set Back Distance = Stopping Sight Distance^2/(8*Radius of Curve for Road)

Set Back Distance by Approx Method (L is less than S) Formula

Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve for Road)
m = (L_c*(2*SSD-L_c))/(8*R_t)

What is setback distance?

The setback distance is the distance required from the center line of horizontal curve to an obstruction on the inner side of the curve to provide adequate sight distance at a horizontal curve.

What are the factors affecting setback distance?

Factors affecting setback distance are as follows
1. Sight distance desired
2. Length of Curve
3. Radius of horizontal curve

How to Calculate Set Back Distance by Approx Method (L is less than S)?

Set Back Distance by Approx Method (L is less than S) calculator uses Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve for Road) to calculate the Set Back Distance, Set Back Distance by Approx Method (L is less than S) is defined as the distance required from the centerline of a horizontal curve to an obstruction on the inner side of the curve to provide adequate sight distance at a horizontal curve when the length of the curve is less than sight distance. Set Back Distance is denoted by m symbol.

How to calculate Set Back Distance by Approx Method (L is less than S) using this online calculator? To use this online calculator for Set Back Distance by Approx Method (L is less than S), enter Length of Curve (L_c), Stopping Sight Distance (SSD) & Radius of Curve for Road (R_t) and hit the calculate button. Here is how the Set Back Distance by Approx Method (L is less than S) calculation can be explained with given input values -> 10.5 = (140*(2*160-140))/(8*300).

FAQ

What is Set Back Distance by Approx Method (L is less than S)?

Set Back Distance by Approx Method (L is less than S) is defined as the distance required from the centerline of a horizontal curve to an obstruction on the inner side of the curve to provide adequate sight distance at a horizontal curve when the length of the curve is less than sight distance and is represented as m = (L_c*(2*SSD-L_c))/(8*R_t) or Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve for Road). Length of curve is defined as the arc length in a parabolic curves, Stopping Sight Distance is defined as distance provided on the road before a sharp turn & Radius of Curve for Road can be defined as the radius at which the spiral is joined.

How to calculate Set Back Distance by Approx Method (L is less than S)?

Set Back Distance by Approx Method (L is less than S) is defined as the distance required from the centerline of a horizontal curve to an obstruction on the inner side of the curve to provide adequate sight distance at a horizontal curve when the length of the curve is less than sight distance is calculated using Set Back Distance = (Length of Curve*(2*Stopping Sight Distance-Length of Curve))/(8*Radius of Curve for Road). To calculate Set Back Distance by Approx Method (L is less than S), you need Length of Curve (L_c), Stopping Sight Distance (SSD) & Radius of Curve for Road (R_t). With our tool, you need to enter the respective value for Length of Curve, Stopping Sight Distance & Radius of Curve for Road 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 Set Back Distance?

In this formula, Set Back Distance uses Length of Curve, Stopping Sight Distance & Radius of Curve for Road. We can use 2 other way(s) to calculate the same, which is/are as follows -

Set Back Distance = Stopping Sight Distance^2/(8*Radius of Curve for Road)
Set Back Distance = Radius of Curve for Road-Radius of Curve for Road*cos((Stopping Sight Distance)/(2*Radius of Curve for Road))

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