Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis Calculator

✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Angle of Internal Friction For Plain Strain means angle of internal friction dependent on plain strain.ⓘ Angle of Internal Friction For Plain Strain [Φ_p]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+10% -10%

✖Length of Footing is the length of the larger dimension of the footing.ⓘ Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis [L]

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Formula

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Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis

Formula

`"L" = (0.1*"B")/(1.1-("Φ"_{"p"}/"φ"))`

Example

`"0.446602m"=(0.1*"2m")/(1.1-("30°"/"46°"))`

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Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Footing = (0.1*Width of Footing)/(1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))
L = (0.1*B)/(1.1-(Φ_p/φ))
This formula uses 4 Variables

Variables Used

Length of Footing - (Measured in Meter) - Length of Footing is the length of the larger dimension of the footing.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
Angle of Internal Friction For Plain Strain - (Measured in Radian) - Angle of Internal Friction For Plain Strain means angle of internal friction dependent on plain strain.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .

STEP 1: Convert Input(s) to Base Unit

Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Angle of Internal Friction For Plain Strain: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (0.1*B)/(1.1-(Φ_p/φ)) --> (0.1*2)/(1.1-(0.5235987755982/0.802851455917241))

Evaluating ... ...

L = 0.446601941747572

STEP 3: Convert Result to Output's Unit

0.446601941747572 Meter --> No Conversion Required

FINAL ANSWER

0.446601941747572 ≈ 0.446602 Meter <-- Length of Footing

(Calculation completed in 00.004 seconds)

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< 8 Bearing Capacity of Soils: Meyerhof's Analysis Calculators

Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction

Go Bearing Capacity Factor dependent on Surcharge = (exp(pi*tan((Angle of Internal Friction*pi)/180)))*(tan(((45+(Angle of Internal Friction/2))*pi)/180))^2

Bearing Capacity Factor Dependent on Unit Weight Given Angle of Internal Friction

Go Bearing Capacity Factor dependent on Unit Weight = (Bearing Capacity Factor dependent on Surcharge-1)*tan(1.4*(Angle of Internal Friction))

Angle of Internal Friction given Bearing Capacity Factors

Go Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4

Bearing Capacity Factor Dependent on Surcharge given Unit Weight Bearing Capacity Factor

Go Bearing Capacity Factor dependent on Surcharge = (Bearing Capacity Factor dependent on Unit Weight/tan(1.4*Angle of Internal Friction))+1

Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis

Go Length of Footing = (0.1*Width of Footing)/(1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))

Width of Footing given Angle of Shearing Resistance by Meyerhof's Analysis

Go Width of Footing = (1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))*(Length of Footing/0.1)

Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis

Go Angle of Internal Friction For Plain Strain = (1.1-0.1*(Width of Footing/Length of Footing))*Angle of Internal Friction

Triaxial Angle of Shearing Resistance by Meyerhof's Analysis

Go Angle of Internal Friction = Angle of Internal Friction For Plain Strain/(1.1-0.1*(Width of Footing/Length of Footing))

Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis Formula

Length of Footing = (0.1*Width of Footing)/(1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))
L = (0.1*B)/(1.1-(Φ_p/φ))

What is Footing?

Footings are an important part of foundation construction. They are typically made of concrete with rebar reinforcement that has been poured into an excavated trench. The purpose of footings is to support the foundation and prevent settling. Footings are especially important in areas with troublesome soils.

How to Calculate Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis?

Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis calculator uses Length of Footing = (0.1*Width of Footing)/(1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction)) to calculate the Length of Footing, The Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis is defined as the value of length of footing when we have prior information of other parameters used. Length of Footing is denoted by L symbol.

How to calculate Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis using this online calculator? To use this online calculator for Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis, enter Width of Footing (B), Angle of Internal Friction For Plain Strain (Φ_p) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis calculation can be explained with given input values -> 0.446602 = (0.1*2)/(1.1-(0.5235987755982/0.802851455917241)).

FAQ

What is Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis?

The Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis is defined as the value of length of footing when we have prior information of other parameters used and is represented as L = (0.1*B)/(1.1-(Φ_p/φ)) or Length of Footing = (0.1*Width of Footing)/(1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction)). Width of Footing is the shorter dimension of the footing, Angle of Internal Friction For Plain Strain means angle of internal friction dependent on plain strain & Angle of Internal Friction is the angle measured between the normal force and resultant force .

How to calculate Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis?

The Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis is defined as the value of length of footing when we have prior information of other parameters used is calculated using Length of Footing = (0.1*Width of Footing)/(1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction)). To calculate Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis, you need Width of Footing (B), Angle of Internal Friction For Plain Strain (Φ_p) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Width of Footing, Angle of Internal Friction For Plain Strain & Angle of Internal Friction 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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