Resultant Outside Middle Third Calculator

✖Total Downward Force on Soil is the net force on soil in the vertical direction.ⓘ Total Downward Force on Soil [R_v]			+10% -10%
✖Earth Pressure is the lateral pressure exerted by the soil on a shoring system. It is dependent on the soil structure and the interaction or movement with the retaining system.ⓘ Earth Pressure [p]			+10% -10%

✖Middle Third Distance is the one-third of the total length or a=L/3.ⓘ Resultant Outside Middle Third [a]

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Formula

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Resultant Outside Middle Third

Formula

`"a" = 2*"R"_{"v"}/(3*"p")`

Example

`"4.002401m"=2*"500.1N"/(3*"83.3Pa")`

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Resultant Outside Middle Third Solution

STEP 0: Pre-Calculation Summary

Formula Used

Middle Third Distance = 2*Total Downward Force on Soil/(3*Earth Pressure)
a = 2*R_v/(3*p)
This formula uses 3 Variables

Variables Used

Middle Third Distance - (Measured in Meter) - Middle Third Distance is the one-third of the total length or a=L/3.
Total Downward Force on Soil - (Measured in Newton) - Total Downward Force on Soil is the net force on soil in the vertical direction.
Earth Pressure - (Measured in Pascal) - Earth Pressure is the lateral pressure exerted by the soil on a shoring system. It is dependent on the soil structure and the interaction or movement with the retaining system.

STEP 1: Convert Input(s) to Base Unit

Total Downward Force on Soil: 500.1 Newton --> 500.1 Newton No Conversion Required
Earth Pressure: 83.3 Pascal --> 83.3 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = 2*R_v/(3*p) --> 2*500.1/(3*83.3)

Evaluating ... ...

a = 4.00240096038415

STEP 3: Convert Result to Output's Unit

4.00240096038415 Meter --> No Conversion Required

FINAL ANSWER

4.00240096038415 ≈ 4.002401 Meter <-- Middle Third Distance

(Calculation completed in 00.004 seconds)

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Created by Rachana B V

The National Institute of Engineering (NIE), Mysuru

Rachana B V has created this Calculator and 25+ more calculators!

Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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< 7 Gravity Retaining Wall Calculators

Earth Thrust Horizontal Component given Sum of Righting Moments

Go Horizontal Component of Earth Thrust = ((Coefficient of Sliding Friction*Total Downward Force on Soil)/1.5)

Total Downward Force on Soil for Horizontal Component

Go Total Downward Force on Soil = (Horizontal Component of Earth Thrust*1.5)/Coefficient of Sliding Friction

Total Downward Force on Soil when Resultant is Outside Middle Third

Go Total Downward Force on Soil = (Earth Pressure*3*Middle Third Distance)/2

Pressure when Resultant is Outside Middle Third

Go Earth Pressure = 2*Total Downward Force on Soil/(3*Middle Third Distance)

Resultant Outside Middle Third

Go Middle Third Distance = 2*Total Downward Force on Soil/(3*Earth Pressure)

Retaining Wall Righting Moment

Go Retaining Wall Righting Moment = 1.5*Overturning Moment

Overturning Moment

Go Overturning Moment = Retaining Wall Righting Moment/1.5

Resultant Outside Middle Third Formula

Middle Third Distance = 2*Total Downward Force on Soil/(3*Earth Pressure)
a = 2*R_v/(3*p)

What is Middle-Third Rule?

The middle-third rule states that no tension is developed in a wall or foundation if the resultant force lies within the middle third of the structure.

How to Calculate Resultant Outside Middle Third?

Resultant Outside Middle Third calculator uses Middle Third Distance = 2*Total Downward Force on Soil/(3*Earth Pressure) to calculate the Middle Third Distance, The Resultant Outside Middle Third formula is defined as the middle third distance at the location. Middle Third Distance is denoted by a symbol.

How to calculate Resultant Outside Middle Third using this online calculator? To use this online calculator for Resultant Outside Middle Third, enter Total Downward Force on Soil (R_v) & Earth Pressure (p) and hit the calculate button. Here is how the Resultant Outside Middle Third calculation can be explained with given input values -> 4.002401 = 2*500.1/(3*83.3).

FAQ

What is Resultant Outside Middle Third?

The Resultant Outside Middle Third formula is defined as the middle third distance at the location and is represented as a = 2*R_v/(3*p) or Middle Third Distance = 2*Total Downward Force on Soil/(3*Earth Pressure). Total Downward Force on Soil is the net force on soil in the vertical direction & Earth Pressure is the lateral pressure exerted by the soil on a shoring system. It is dependent on the soil structure and the interaction or movement with the retaining system.

How to calculate Resultant Outside Middle Third?

The Resultant Outside Middle Third formula is defined as the middle third distance at the location is calculated using Middle Third Distance = 2*Total Downward Force on Soil/(3*Earth Pressure). To calculate Resultant Outside Middle Third, you need Total Downward Force on Soil (R_v) & Earth Pressure (p). With our tool, you need to enter the respective value for Total Downward Force on Soil & Earth Pressure 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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