Hydraulic radius in Manning's formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hydraulic Radius = Cross-Sectional Area/Wetted Perimeter
rH = A/P
This formula uses 3 Variables
Variables Used
Hydraulic Radius - (Measured in Meter) - Hydraulic Radius is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Wetted Perimeter - (Measured in Meter) - Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.
STEP 1: Convert Input(s) to Base Unit
Cross-Sectional Area: 12 Square Meter --> 12 Square Meter No Conversion Required
Wetted Perimeter: 80 Meter --> 80 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rH = A/P --> 12/80
Evaluating ... ...
rH = 0.15
STEP 3: Convert Result to Output's Unit
0.15 Meter --> No Conversion Required
FINAL ANSWER
0.15 Meter <-- Hydraulic Radius
(Calculation completed in 00.004 seconds)

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4 Manning's Equation Calculators

Manning's Equation
Go Stream Velocity = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius)^(2/3)*(Bed Slope)^(1/2)
Hydraulic Radius using Manning Equation
Go Hydraulic Radius = ((Stream Velocity*Manning’s Roughness Coefficient)/(Bed Slope^(1/2)))^(3/2)
Slope of Gradient of Stream Bed given Discharge in Manning's Equation
Go Bed Slope = ((Stream Velocity*Manning’s Roughness Coefficient)/Hydraulic Radius^(2/3))^2
Hydraulic radius in Manning's formula
Go Hydraulic Radius = Cross-Sectional Area/Wetted Perimeter

Hydraulic radius in Manning's formula Formula

Hydraulic Radius = Cross-Sectional Area/Wetted Perimeter
rH = A/P

What is Manning's equation?

The Manning's equation is an empirical equation that applies to uniform flow in open channels and is a function of the channel velocity, flow area and channel slope. Under the assumption of uniform flow conditions the bottom slope is the same as the slope of the energy grade line and the water surface slope.

How to Calculate Hydraulic radius in Manning's formula?

Hydraulic radius in Manning's formula calculator uses Hydraulic Radius = Cross-Sectional Area/Wetted Perimeter to calculate the Hydraulic Radius, Hydraulic radius in Manning's formula is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit. Hydraulic Radius is denoted by rH symbol.

How to calculate Hydraulic radius in Manning's formula using this online calculator? To use this online calculator for Hydraulic radius in Manning's formula, enter Cross-Sectional Area (A) & Wetted Perimeter (P) and hit the calculate button. Here is how the Hydraulic radius in Manning's formula calculation can be explained with given input values -> 0.15 = 12/80.

FAQ

What is Hydraulic radius in Manning's formula?
Hydraulic radius in Manning's formula is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit and is represented as rH = A/P or Hydraulic Radius = Cross-Sectional Area/Wetted Perimeter. Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Wetted Perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.
How to calculate Hydraulic radius in Manning's formula?
Hydraulic radius in Manning's formula is defined as the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit is calculated using Hydraulic Radius = Cross-Sectional Area/Wetted Perimeter. To calculate Hydraulic radius in Manning's formula, you need Cross-Sectional Area (A) & Wetted Perimeter (P). With our tool, you need to enter the respective value for Cross-Sectional Area & Wetted Perimeter 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 Hydraulic Radius?
In this formula, Hydraulic Radius uses Cross-Sectional Area & Wetted Perimeter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Hydraulic Radius = ((Stream Velocity*Manning’s Roughness Coefficient)/(Bed Slope^(1/2)))^(3/2)
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