Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged Calculator

✖Axial Load on Soil is defined as applying a force on a foundation directly along an axis of the foundation.ⓘ Axial Load on Soil [P]			+10% -10%
✖Area of Footing is the area of the foundation.ⓘ Area of Footing [A]			+10% -10%
✖Loading Eccentricity 1 between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.ⓘ Loading Eccentricity 1 [e₁]			+10% -10%
✖Principal Axis 1 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid”.ⓘ Principal Axis 1 [c₁]			+10% -10%
✖Radius of Gyration 1 is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.ⓘ Radius of Gyration 1 [r₁]			+10% -10%
✖Loading Eccentricity 2 between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.ⓘ Loading Eccentricity 2 [e₂]			+10% -10%
✖Principal Axis 2 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid”.ⓘ Principal Axis 2 [c₂]			+10% -10%
✖Radius of Gyration 2 is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.ⓘ Radius of Gyration 2 [r₂]			+10% -10%

✖Maximum Bearing Pressure is the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil.ⓘ Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged [q_m]

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Formula

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Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged

Formula

`"q"_{"m"} = ("P"/"A")*(1+("e"_{"1"}*"c"_{"1"}/("r"_{"1"}^2))+("e"_{"2"}*"c"_{"2"}/("r"_{"2"}^2)))`

Example

`"84.55188kN/m²"=("631.99kN"/"12m²")*(1+("0.478m"*"2.05m"/(("2.01m")^2))+("0.75m"*"3m"/(("2.49m")^2)))`

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Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bearing Pressure = (Axial Load on Soil/Area of Footing)*(1+(Loading Eccentricity 1*Principal Axis 1/(Radius of Gyration 1^2))+(Loading Eccentricity 2*Principal Axis 2/(Radius of Gyration 2^2)))
q_m = (P/A)*(1+(e₁*c₁/(r₁^2))+(e₂*c₂/(r₂^2)))
This formula uses 9 Variables

Variables Used

Maximum Bearing Pressure - (Measured in Pascal) - Maximum Bearing Pressure is the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil.
Axial Load on Soil - (Measured in Newton) - Axial Load on Soil is defined as applying a force on a foundation directly along an axis of the foundation.
Area of Footing - (Measured in Square Meter) - Area of Footing is the area of the foundation.
Loading Eccentricity 1 - (Measured in Meter) - Loading Eccentricity 1 between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.
Principal Axis 1 - (Measured in Meter) - Principal Axis 1 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid”.
Radius of Gyration 1 - (Measured in Meter) - Radius of Gyration 1 is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.
Loading Eccentricity 2 - (Measured in Meter) - Loading Eccentricity 2 between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.
Principal Axis 2 - (Measured in Meter) - Principal Axis 2 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid”.
Radius of Gyration 2 - (Measured in Meter) - Radius of Gyration 2 is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.

STEP 1: Convert Input(s) to Base Unit

Axial Load on Soil: 631.99 Kilonewton --> 631990 Newton (Check conversion here)
Area of Footing: 12 Square Meter --> 12 Square Meter No Conversion Required
Loading Eccentricity 1: 0.478 Meter --> 0.478 Meter No Conversion Required
Principal Axis 1: 2.05 Meter --> 2.05 Meter No Conversion Required
Radius of Gyration 1: 2.01 Meter --> 2.01 Meter No Conversion Required
Loading Eccentricity 2: 0.75 Meter --> 0.75 Meter No Conversion Required
Principal Axis 2: 3 Meter --> 3 Meter No Conversion Required
Radius of Gyration 2: 2.49 Meter --> 2.49 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_m = (P/A)*(1+(e₁*c₁/(r₁^2))+(e₂*c₂/(r₂^2))) --> (631990/12)*(1+(0.478*2.05/(2.01^2))+(0.75*3/(2.49^2)))

Evaluating ... ...

q_m = 84551.8814977375

STEP 3: Convert Result to Output's Unit

84551.8814977375 Pascal -->84.5518814977375 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

84.5518814977375 ≈ 84.55188 Kilonewton per Square Meter <-- Maximum Bearing Pressure

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Foundation Stability Analysis » Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged

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< 11 Foundation Stability Analysis Calculators

Net Bearing Capacity of Long Footing in Foundation Stability Analysis

Go Net Bearing Capacity = (Alpha Footing Factor*Undrained Shear Strength in Soil*Bearing Capacity Factor)+(Effective Vertical Shear Stress in Soil*Bearing Capacity Factor Nq)+(Beta Footing Factor*Unit Weight of Soil*Width of Footing*Value of Nγ)

Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged

Go Maximum Bearing Pressure = (Axial Load on Soil/Area of Footing)*(1+(Loading Eccentricity 1*Principal Axis 1/(Radius of Gyration 1^2))+(Loading Eccentricity 2*Principal Axis 2/(Radius of Gyration 2^2)))

Maximum Bearing Pressure for Eccentric Loading Conventional Case

Go Maximum Bearing Pressure = (Circumference of Group in Foundation/(Breadth of Dam*Length of Footing))*(1+((6*Eccentricity of the Load on Soil)/Breadth of Dam))

Minimum Bearing Pressure for Eccentric Loading Conventional Case

Go Bearing Pressure Minimum = (Axial Load on Soil/(Breadth of Dam*Length of Footing))*(1-((6*Eccentricity of the Load on Soil)/Breadth of Dam))

Maximum Soil Pressure

Go Maximum Soil Pressure = (2*Axial Load on Soil)/(3*Length of Footing*((Width of Footing/2)-Eccentricity of the Load on Soil))

Correction Factor Nc for Rectangle

Go Correction Factor Nc = 1+(Width of Footing/Length of Footing)*(Bearing Capacity Factor Nq/Bearing Capacity Factor)

Correction Factor for Rectangle

Go Correction Factor Nq = 1+(Width of Footing/Length of Footing)*(tan(Angle of Internal Friction))

Net Bearing Capacity for Undrained Loading of Cohesive Soils

Go Net Bearing Capacity = Alpha Footing Factor*Bearing Capacity Factor Nq*Undrained Shear Strength in Soil

Correction Factor Nc for Circle and Square

Go Correction Factor Nc = 1+(Bearing Capacity Factor Nq/Bearing Capacity Factor)

Correction Factor Ny for Rectangle

Go Correction Factor NY = 1-0.4*(Width of Footing/Length of Footing)

Correction Factor for Circle and Square

Go Correction Factor Nq = 1+tan(Angle of Internal Friction)

Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged Formula

What is Bearing Capacity of Soil?

In geotechnical engineering, bearing capacity is the capacity of soil to support the loads applied to the ground. The bearing capacity of soil is the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil.

How to Calculate Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged?

Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged calculator uses Maximum Bearing Pressure = (Axial Load on Soil/Area of Footing)*(1+(Loading Eccentricity 1*Principal Axis 1/(Radius of Gyration 1^2))+(Loading Eccentricity 2*Principal Axis 2/(Radius of Gyration 2^2))) to calculate the Maximum Bearing Pressure, The Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged is defined as the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil. Maximum Bearing Pressure is denoted by q_m symbol.

How to calculate Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged using this online calculator? To use this online calculator for Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged, enter Axial Load on Soil (P), Area of Footing (A), Loading Eccentricity 1 (e₁), Principal Axis 1 (c₁), Radius of Gyration 1 (r₁), Loading Eccentricity 2 (e₂), Principal Axis 2 (c₂) & Radius of Gyration 2 (r₂) and hit the calculate button. Here is how the Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged calculation can be explained with given input values -> 0.001337 = (631990/12)*(1+(0.478*2.05/(2.01^2))+(0.75*3/(2.49^2))).

FAQ

What is Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged?

The Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged is defined as the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil and is represented as q_m = (P/A)*(1+(e₁*c₁/(r₁^2))+(e₂*c₂/(r₂^2))) or Maximum Bearing Pressure = (Axial Load on Soil/Area of Footing)*(1+(Loading Eccentricity 1*Principal Axis 1/(Radius of Gyration 1^2))+(Loading Eccentricity 2*Principal Axis 2/(Radius of Gyration 2^2))). Axial Load on Soil is defined as applying a force on a foundation directly along an axis of the foundation, Area of Footing is the area of the foundation, Loading Eccentricity 1 between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen, Principal Axis 1 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid”, Radius of Gyration 1 is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass, Loading Eccentricity 2 between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen, Principal Axis 2 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid” & Radius of Gyration 2 is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass.

How to calculate Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged?

The Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged is defined as the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil is calculated using Maximum Bearing Pressure = (Axial Load on Soil/Area of Footing)*(1+(Loading Eccentricity 1*Principal Axis 1/(Radius of Gyration 1^2))+(Loading Eccentricity 2*Principal Axis 2/(Radius of Gyration 2^2))). To calculate Maximum Bearing Pressure when Full Bearing Area of Sq and Rect Footings is Engaged, you need Axial Load on Soil (P), Area of Footing (A), Loading Eccentricity 1 (e₁), Principal Axis 1 (c₁), Radius of Gyration 1 (r₁), Loading Eccentricity 2 (e₂), Principal Axis 2 (c₂) & Radius of Gyration 2 (r₂). With our tool, you need to enter the respective value for Axial Load on Soil, Area of Footing, Loading Eccentricity 1, Principal Axis 1, Radius of Gyration 1, Loading Eccentricity 2, Principal Axis 2 & Radius of Gyration 2 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 Maximum Bearing Pressure?

In this formula, Maximum Bearing Pressure uses Axial Load on Soil, Area of Footing, Loading Eccentricity 1, Principal Axis 1, Radius of Gyration 1, Loading Eccentricity 2, Principal Axis 2 & Radius of Gyration 2. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Bearing Pressure = (Circumference of Group in Foundation/(Breadth of Dam*Length of Footing))*(1+((6*Eccentricity of the Load on Soil)/Breadth of Dam))

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