S-Curve Addition Calculator

✖S-Curve at time 't' for the construction of S-curve.ⓘ S-Curve at Time 't' [S_t]			+10% -10%
✖Ordinates of Unit Hydrograph with respect to time 't'.ⓘ Ordinates of Unit Hydrograph [U_t]			+10% -10%

✖S-Curve Addition at time 't' for the construction of S-curve.ⓘ S-Curve Addition [S_tD]

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Formula

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S-Curve Addition

Formula

`"S"_{"tD"} = "S"_{"t"}-"U"_{"t"}`

Example

`"24h"="28h"-"4h"`

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S-Curve Addition Solution

STEP 0: Pre-Calculation Summary

Formula Used

S-Curve Addition = S-Curve at Time 't'-Ordinates of Unit Hydrograph
S_tD = S_t-U_t
This formula uses 3 Variables

Variables Used

S-Curve Addition - (Measured in Hour) - S-Curve Addition at time 't' for the construction of S-curve.
S-Curve at Time 't' - (Measured in Hour) - S-Curve at time 't' for the construction of S-curve.
Ordinates of Unit Hydrograph - (Measured in Hour) - Ordinates of Unit Hydrograph with respect to time 't'.

STEP 1: Convert Input(s) to Base Unit

S-Curve at Time 't': 28 Hour --> 28 Hour No Conversion Required
Ordinates of Unit Hydrograph: 4 Hour --> 4 Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_tD = S_t-U_t --> 28-4

Evaluating ... ...

S_tD = 24

STEP 3: Convert Result to Output's Unit

86400 Second -->24 Hour (Check conversion here)

FINAL ANSWER

24 Hour <-- S-Curve Addition

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Hydrographs » Unit Hydrographs of Different Duration » The S-Curve » S-Curve Addition

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 7 The S-Curve Calculators

Equilibrium Discharge from S Curve

Go Equilibrium Discharge = (Area of Catchment/Duration of Excess Rainfall)*10^4

Area of Catchment given Maximum Rate of Discharge from S-Curve

Go Area of Catchment = Equilibrium Discharge*Duration of Excess Rainfall/2.778

Duration of ER given Maximum Rate of Discharge from S-Curve

Go Duration of Excess Rainfall = 2.778*Area of Catchment/Equilibrium Discharge

Maximum Rate of Discharge from S-Curve

Go Equilibrium Discharge = 2.778*Area of Catchment/Duration of Excess Rainfall

Ordinates of Unit Hydrograph for S-Curve at Certain Time

Go Ordinates of Unit Hydrograph = S-Curve at Time 't'-S-Curve Addition

S Curve at any time

Go S-Curve at Time 't' = Ordinates of Unit Hydrograph+S-Curve Addition

S-Curve Addition

Go S-Curve Addition = S-Curve at Time 't'-Ordinates of Unit Hydrograph

S-Curve Addition Formula

S-Curve Addition = S-Curve at Time 't'-Ordinates of Unit Hydrograph
S_tD = S_t-U_t

What is S-curve method in Hydrograph?

The S-curve is a method of deriving a unit hydrograph for a desired duration from one or another duration through the use of an S-curve. It is a graph showing the summation of the ordinates of a series of unit hydrographs spaced at unit-rainfall duration intervals. It represents the hydrograph of the unit rate of rainfall excess continued indefinitely.

What is meant by Unit Hydrograph?

A unit hydrograph is a direct runoff hydrograph resulting from one unit (one inch or one cm) of constant intensity uniform rainfall occurring over the entire watershed. The role of unit hydrograph in hydrology is to provide an estimate of direct runoff hydrograph resulting from a given excess rainfall hyetograph.

How to Calculate S-Curve Addition?

S-Curve Addition calculator uses S-Curve Addition = S-Curve at Time 't'-Ordinates of Unit Hydrograph to calculate the S-Curve Addition, The S-Curve Addition formula is defined as the summation of the ordinate of the D-h Unit hydrograph at time 't' equalizes the ordinate of the S-curve at any time t. S-Curve Addition is denoted by S_tD symbol.

How to calculate S-Curve Addition using this online calculator? To use this online calculator for S-Curve Addition, enter S-Curve at Time 't' (S_t) & Ordinates of Unit Hydrograph (U_t) and hit the calculate button. Here is how the S-Curve Addition calculation can be explained with given input values -> 0.006667 = 100800-14400.

FAQ

What is S-Curve Addition?

The S-Curve Addition formula is defined as the summation of the ordinate of the D-h Unit hydrograph at time 't' equalizes the ordinate of the S-curve at any time t and is represented as S_tD = S_t-U_t or S-Curve Addition = S-Curve at Time 't'-Ordinates of Unit Hydrograph. S-Curve at time 't' for the construction of S-curve & Ordinates of Unit Hydrograph with respect to time 't'.

How to calculate S-Curve Addition?

The S-Curve Addition formula is defined as the summation of the ordinate of the D-h Unit hydrograph at time 't' equalizes the ordinate of the S-curve at any time t is calculated using S-Curve Addition = S-Curve at Time 't'-Ordinates of Unit Hydrograph. To calculate S-Curve Addition, you need S-Curve at Time 't' (S_t) & Ordinates of Unit Hydrograph (U_t). With our tool, you need to enter the respective value for S-Curve at Time 't' & Ordinates of Unit Hydrograph 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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