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Bearing Capacity depending on Shape Factors Formula

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Bearing Capacity is the pressure exerted on the soil by a foundation or structural load, taking into account the soil's bearing capacity factors. Check FAQs

q s = (s c \cdot C \cdot N c) + (σ s \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot s γ)

q_s - Bearing Capacity?s_c - Shape Factor dependent on Cohesion?C - Cohesion?N_c - Bearing Capacity Factor dependent on Cohesion?σ_s - Effective Surcharge (KN/m2)?N_q - Bearing Capacity Factor dependent on Surcharge?γ - Unit Weight of Soil?B - Width of Footing?N_γ - Bearing Capacity Factor dependent on Unit Weight?s_γ - Shape Factor Dependent on Unit Weight?

Bearing Capacity depending on Shape Factors Example

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Here is how the Bearing Capacity depending on Shape Factors equation looks like with Values.

Here is how the Bearing Capacity depending on Shape Factors equation looks like with Units.

Here is how the Bearing Capacity depending on Shape Factors equation looks like.

152.2176 = (1.7 \cdot 4.23 \cdot 1.93) + (45.9 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 1.6)

152.2176kPa = (1.7 \cdot 4.23kPa \cdot 1.93) + (45.9kN/m² \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 1.6)

152.2176 = (1.7 \cdot 4.23 \cdot 1.93) + (45.9 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 1.6)

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Bearing Capacity depending on Shape Factors Solution

Follow our step by step solution on how to calculate Bearing Capacity depending on Shape Factors?

FIRST Step Consider the formula

q s = (s c \cdot C \cdot N c) + (σ s \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot s γ)

Next Step Substitute values of Variables

∴

q s = (1.7 \cdot 4.23kPa \cdot 1.93) + (45.9kN/m² \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 1.6)

Next Step Convert Units

∴

q s = (1.7 \cdot 4230Pa \cdot 1.93) + (45900Pa \cdot 2.01) + (0.5 \cdot 18000N/m³ \cdot 2m \cdot 1.6 \cdot 1.6)

Next Step Prepare to Evaluate

∴

q s = (1.7 \cdot 4230 \cdot 1.93) + (45900 \cdot 2.01) + (0.5 \cdot 18000 \cdot 2 \cdot 1.6 \cdot 1.6)

Next Step Evaluate

∴

q s = 152217.63Pa

Next Step Convert to Output's Unit

∴

q s = 152.21763kPa

LAST Step Rounding Answer

∴

q s = 152.2176kPa

Bearing Capacity depending on Shape Factors Formula Elements

Variables

Bearing Capacity

Bearing Capacity is the pressure exerted on the soil by a foundation or structural load, taking into account the soil's bearing capacity factors.

Symbol: q_s

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Bearing Capacity

Shape Factor dependent on Cohesion

Shape Factor dependent on Cohesion is defined as ratio of the limit unit base resistance of a footing of any shape bearing on the soil surface to that of a strip footing on the soil surface.

Symbol: s_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shape Factor dependent on Cohesion

Cohesion

Cohesion is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: C

Measurement: PressureUnit: kPa

Note: Value should be between 0 to 50.

Formulas to find Cohesion

Bearing Capacity Factor dependent on Cohesion

Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.

Symbol: N_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Cohesion

Effective Surcharge (KN/m2)

Effective Surcharge (KN/m2) also called as surcharge load refers to the vertical pressure or any load that acts over the ground surface additional to basic earth pressure.

Symbol: σ_s

Measurement: PressureUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Effective Surcharge (KN/m2)

Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

Symbol: N_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Surcharge

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Width of Footing

Width of Footing is the shorter dimension of the footing.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Footing

Bearing Capacity Factor dependent on Unit Weight

Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.

Symbol: N_γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Unit Weight

Shape Factor Dependent on Unit Weight

Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity.

Symbol: s_γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shape Factor Dependent on Unit Weight

Other formulas in Specialization of Terzaghi's Equations category

Go Cohesion of Soil depending on Shape Factors

C = \frac{q f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot s γ))}{s c \cdot N c}

Go Bearing Capacity Factor Dependent on Cohesion

N c = \frac{q f - ((σ' \cdot N q) + (0.5 \cdot γ \cdot B \cdot N γ \cdot s γ))}{s c \cdot C}

How to Evaluate Bearing Capacity depending on Shape Factors?

Bearing Capacity depending on Shape Factors evaluator uses Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight) to evaluate the Bearing Capacity, The Bearing Capacity depending on Shape Factors formula is defined as the measure of the ability to support the load from a structure without experiencing a shear failure, considering shape factors which plays a crucial role in determining this capacity because they affect how stress distributes within the soil mass beneath the foundation. Bearing Capacity is denoted by q_s symbol.

How to evaluate Bearing Capacity depending on Shape Factors using this online evaluator? To use this online evaluator for Bearing Capacity depending on Shape Factors, enter Shape Factor dependent on Cohesion (s_c), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (KN/m2) (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Shape Factor Dependent on Unit Weight (s_γ) and hit the calculate button.

FAQs on Bearing Capacity depending on Shape Factors

What is the formula to find Bearing Capacity depending on Shape Factors?

The formula of Bearing Capacity depending on Shape Factors is expressed as Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight). Here is an example- 0.152218 = (1.7*4230*1.93)+(45900*2.01)+(0.5*18000*2*1.6*1.6).

How to calculate Bearing Capacity depending on Shape Factors?

With Shape Factor dependent on Cohesion (s_c), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (KN/m2) (σ_s), Bearing Capacity Factor dependent on Surcharge (N_q), Unit Weight of Soil (γ), Width of Footing (B), Bearing Capacity Factor dependent on Unit Weight (N_γ) & Shape Factor Dependent on Unit Weight (s_γ) we can find Bearing Capacity depending on Shape Factors using the formula - Bearing Capacity = (Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge (KN/m2)*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight*Shape Factor Dependent on Unit Weight).

Can the Bearing Capacity depending on Shape Factors be negative?

No, the Bearing Capacity depending on Shape Factors, measured in Pressure cannot be negative.

Which unit is used to measure Bearing Capacity depending on Shape Factors?

Bearing Capacity depending on Shape Factors is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Bearing Capacity depending on Shape Factors can be measured.

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Bearing Capacity depending on Shape Factors Formula

Bearing Capacity depending on Shape Factors Example

Bearing Capacity depending on Shape Factors Solution

Bearing Capacity depending on Shape Factors Formula Elements

Other formulas in Specialization of Terzaghi's Equations category

How to Evaluate Bearing Capacity depending on Shape Factors?

FAQs on Bearing Capacity depending on Shape Factors

Variable Name