Bearing Capacity depending on Shape Factors Calculator

✖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.ⓘ Shape Factor dependent on Cohesion [s_c]			+10% -10%
✖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.ⓘ Cohesion [C]			+10% -10%
✖Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.ⓘ Bearing Capacity Factor dependent on Cohesion [N_c]			+10% -10%
✖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.ⓘ Effective Surcharge (KN/m2) [σ_s]			+10% -10%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+10% -10%
✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%
✖Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity.ⓘ Shape Factor Dependent on Unit Weight [s_γ]			+10% -10%

✖Bearing Capacity is the pressure exerted on the soil by a foundation or structural load, taking into account the soil's bearing capacity factors.ⓘ Bearing Capacity depending on Shape Factors [q_s]

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Formula

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Bearing Capacity depending on Shape Factors

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)

Example

152.2176 kPa = (1.7 \cdot 4.23 kPa \cdot 1.93) + (45.9 kN/m² \cdot 2.01) + (0.5 \cdot 18 kN/m³ \cdot 2 m \cdot 1.6 \cdot 1.60)

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Download Bearing Capacity of Soil by Terzaghi's Analysis Formulas PDF PDF Image

Bearing Capacity depending on Shape Factors Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
q_s = (s_c*C*N_c)+(σ_s*N_q)+(0.5*γ*B*N_γ*s_γ)
This formula uses 10 Variables

Variables Used

Bearing Capacity - (Measured in Pascal) - Bearing Capacity is the pressure exerted on the soil by a foundation or structural load, taking into account the soil's bearing capacity factors.
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.
Cohesion - (Measured in Pascal) - 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.
Bearing Capacity Factor dependent on Cohesion - Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil.
Effective Surcharge (KN/m2) - (Measured in Pascal) - 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.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the 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.
Shape Factor Dependent on Unit Weight - Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity.

STEP 1: Convert Input(s) to Base Unit

Shape Factor dependent on Cohesion: 1.7 --> No Conversion Required
Cohesion: 4.23 Kilopascal --> 4230 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Cohesion: 1.93 --> No Conversion Required
Effective Surcharge (KN/m2): 45.9 Kilonewton per Square Meter --> 45900 Pascal (Check conversion here)
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Shape Factor Dependent on Unit Weight: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_s = (s_c*C*N_c)+(σ_s*N_q)+(0.5*γ*B*N_γ*s_γ) --> (1.7*4230*1.93)+(45900*2.01)+(0.5*18000*2*1.6*1.6)

Evaluating ... ...

q_s = 152217.63

STEP 3: Convert Result to Output's Unit

152217.63 Pascal -->152.21763 Kilopascal (Check conversion here)

FINAL ANSWER

152.21763 ≈ 152.2176 Kilopascal <-- Bearing Capacity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soil by Terzaghi's Analysis » Specialization of Terzaghi's Equations » Bearing Capacity depending on Shape Factors

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< Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion

Go Bearing Capacity Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*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)))/(Shape Factor dependent on Cohesion*Cohesion)

Cohesion of Soil depending on Shape Factors

Go Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*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)))/(Shape Factor dependent on Cohesion*Bearing Capacity Factor dependent on Cohesion)

Shape Factor Dependent on Cohesion

Go Shape Factor dependent on Cohesion = (Ultimate Bearing Capacity-((Effective Surcharge*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)))/(Bearing Capacity Factor dependent on Cohesion*Cohesion)

Bearing Capacity depending on Shape Factors

Go 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)

Bearing Capacity depending on Shape Factors Formula

What is Bearing Capacity?

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.
Below are few factors influencing Bearing Capacity: Soil Strength. Foundation Width. Foundation Depth. Soil Weight and Surcharge. Spacing Between Foundations. Earthquake and Dynamic Motion. Frost Action. Subsurface Voids

How to Calculate Bearing Capacity depending on Shape Factors?

Bearing Capacity depending on Shape Factors calculator 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 calculate 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 calculate Bearing Capacity depending on Shape Factors using this online calculator? To use this online calculator 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. Here is how the Bearing Capacity depending on Shape Factors calculation can be explained with given input values -> 0.152218 = (1.7*4230*1.93)+(45900*2.01)+(0.5*18000*2*1.6*1.6).

FAQ

What is Bearing Capacity depending on Shape Factors?

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 and is represented as q_s = (s_c*C*N_c)+(σ_s*N_q)+(0.5*γ*B*N_γ*s_γ) or 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). 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, 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, Bearing Capacity Factor dependent on Cohesion is a constant whose value depends upon the cohesion of soil, 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, Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Width of Footing is the shorter dimension of the footing, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil & Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity.

How to calculate Bearing Capacity depending on Shape Factors?

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 is calculated using 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 calculate Bearing Capacity depending on Shape Factors, you need 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). With our tool, you need to enter the respective value for Shape Factor dependent on Cohesion, Cohesion, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge (KN/m2), Bearing Capacity Factor dependent on Surcharge, Unit Weight of Soil, Width of Footing, Bearing Capacity Factor dependent on Unit Weight & Shape Factor Dependent on Unit Weight 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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