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Maximum Bearing Pressure Formula

GoMaximum Bearing Pressure for Eccentric Loading Conventional Case Formula

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Maximum Bearing Pressure is the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil. Check FAQs

q m = (\frac{P}{A}) \cdot (1 + (e 1 \cdot \frac{c 1}{{r 1}^{2}}) + (e 2 \cdot \frac{c 2}{{r 2}^{2}}))

q_m - Maximum Bearing Pressure?P - Axial Load on Soil?A - Area of Footing?e₁ - Loading Eccentricity 1?c₁ - Principal Axis 1?r₁ - Radius of Gyration 1?e₂ - Loading Eccentricity 2?c₂ - Principal Axis 2?r₂ - Radius of Gyration 2?

Maximum Bearing Pressure Example

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Here is how the Maximum Bearing Pressure equation looks like with Values.

Here is how the Maximum Bearing Pressure equation looks like with Units.

Here is how the Maximum Bearing Pressure equation looks like.

1.3728 = (\frac{631.99}{470}) \cdot (1 + (0.478 \cdot \frac{2.05}{{12.3}^{2}}) + (0.75 \cdot \frac{3}{{12.49}^{2}}))

1.3728kN/m² = (\frac{631.99kN}{470m²}) \cdot (1 + (0.478m \cdot \frac{2.05m}{{12.3m}^{2}}) + (0.75m \cdot \frac{3m}{{12.49m}^{2}}))

1.3728 = (\frac{631.99}{470}) \cdot (1 + (0.478 \cdot \frac{2.05}{{12.3}^{2}}) + (0.75 \cdot \frac{3}{{12.49}^{2}}))

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Maximum Bearing Pressure Solution

Follow our step by step solution on how to calculate Maximum Bearing Pressure?

FIRST Step Consider the formula

q m = (\frac{P}{A}) \cdot (1 + (e 1 \cdot \frac{c 1}{{r 1}^{2}}) + (e 2 \cdot \frac{c 2}{{r 2}^{2}}))

Next Step Substitute values of Variables

∴

q m = (\frac{631.99kN}{470m²}) \cdot (1 + (0.478m \cdot \frac{2.05m}{{12.3m}^{2}}) + (0.75m \cdot \frac{3m}{{12.49m}^{2}}))

Next Step Convert Units

∴

q m = (\frac{631990N}{470m²}) \cdot (1 + (0.478m \cdot \frac{2.05m}{{12.3m}^{2}}) + (0.75m \cdot \frac{3m}{{12.49m}^{2}}))

Next Step Prepare to Evaluate

∴

q m = (\frac{631990}{470}) \cdot (1 + (0.478 \cdot \frac{2.05}{{12.3}^{2}}) + (0.75 \cdot \frac{3}{{12.49}^{2}}))

Next Step Evaluate

∴

q m = 1372.76300320486Pa

Next Step Convert to Output's Unit

∴

q m = 1.37276300320486kN/m²

LAST Step Rounding Answer

∴

q m = 1.3728kN/m²

Maximum Bearing Pressure Formula Elements

Variables

Maximum Bearing Pressure

Maximum Bearing Pressure is the maximum average contact pressure between the foundation and the soil which should not produce shear failure in the soil.

Symbol: q_m

Measurement: PressureUnit: kN/m²

Note: Value can be positive or negative.

Formulas to find Maximum Bearing Pressure

Axial Load on Soil

Axial Load on Soil is defined as applying a force on a foundation directly along an axis of the foundation.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load on Soil

Area of Footing

Area of Footing is the surface area of the base of a foundation footing, which is a spread at the bottom of a foundation that helps distribute the load from a structure to the soil below.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Footing

Loading Eccentricity 1

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.

Symbol: e₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Loading Eccentricity 1

Principal Axis 1

Principal Axis 1 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid”.

Symbol: c₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Principal Axis 1

Radius of Gyration 1

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.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Gyration 1

Loading Eccentricity 2

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.

Symbol: e₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Loading Eccentricity 2

Principal Axis 2

Principal Axis 2 is the main axis of a member which are perpendicular and intersect each other at the center of area or “centroid”.

Symbol: c₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Principal Axis 2

Radius of Gyration 2

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.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Gyration 2

Other Formulas to find Maximum Bearing Pressure

Go Maximum Bearing Pressure for Eccentric Loading Conventional Case

q m = (\frac{C g}{b \cdot L}) \cdot (1 + (\frac{6 \cdot e load}{b}))

Other formulas in Foundation Stability Analysis category

Go Net Bearing Capacity of Long Footing in Foundation Stability Analysis

q u = (α f \cdot C u \cdot N c) + (σ vo \cdot N q) + (β f \cdot γ \cdot B \cdot N γ)

Go Net Bearing Capacity for Undrained Loading of Cohesive Soils

q u = α f \cdot N q \cdot C u

How to Evaluate Maximum Bearing Pressure?

Maximum Bearing Pressure evaluator 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 evaluate the Maximum Bearing Pressure, The Maximum Bearing Pressure formula 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 evaluate Maximum Bearing Pressure using this online evaluator? To use this online evaluator for Maximum Bearing Pressure, 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.

FAQs on Maximum Bearing Pressure

What is the formula to find Maximum Bearing Pressure?

The formula of Maximum Bearing Pressure is expressed as 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))). Here is an example- 0.001841 = (631990/470)*(1+(0.478*2.05/(12.3^2))+(0.75*3/(12.49^2))).

How to calculate Maximum Bearing Pressure?

With 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) we can find Maximum Bearing Pressure using the formula - 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))).

What are the other ways to Calculate Maximum Bearing Pressure?

Here are the different ways to Calculate Maximum Bearing Pressure-

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))

Can the Maximum Bearing Pressure be negative?

Yes, the Maximum Bearing Pressure, measured in Pressure can be negative.

Which unit is used to measure Maximum Bearing Pressure?

Maximum Bearing Pressure is usually measured using the Kilonewton per Square Meter[kN/m²] for Pressure. Pascal[kN/m²], Kilopascal[kN/m²], Bar[kN/m²] are the few other units in which Maximum Bearing Pressure can be measured.

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Maximum Bearing Pressure Formula

​GoMaximum Bearing Pressure for Eccentric Loading Conventional Case Formula

Maximum Bearing Pressure Example

Maximum Bearing Pressure Solution

Maximum Bearing Pressure Formula Elements

Other Formulas to find Maximum Bearing Pressure

Other formulas in Foundation Stability Analysis category

How to Evaluate Maximum Bearing Pressure?

FAQs on Maximum Bearing Pressure

Variable Name

GoMaximum Bearing Pressure for Eccentric Loading Conventional Case Formula