Unit Weight of Soil given Shape Factor Calculator

✖The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.ⓘ Ultimate Bearing Capacity [q_f]			+10% -10%
✖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 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 [σ']			+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%
✖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%
✖Width of Footing is the shorter dimension of the footing.ⓘ Width of Footing [B]			+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%

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil given Shape Factor [γ]

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Unit Weight of Soil given Shape Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*Shape Factor Dependent on Unit Weight)
γ = (q_f-((s_c*C*N_c)+(σ'*N_q)))/(0.5*N_γ*B*s_γ)
This formula uses 10 Variables

Variables Used

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.
Ultimate Bearing Capacity - (Measured in Pascal) - The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear.
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 - (Measured in Pascal) - Effective Surcharge 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.
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.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
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

Ultimate Bearing Capacity: 60 Kilopascal --> 60000 Pascal (Check conversion here)
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: 10 Pascal --> 10 Pascal No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required
Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Shape Factor Dependent on Unit Weight: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (q_f-((s_c*C*N_c)+(σ'*N_q)))/(0.5*N_γ*B*s_γ) --> (60000-((1.7*4230*1.93)+(10*2.01)))/(0.5*1.6*2*1.6)

Evaluating ... ...

γ = 18008.30859375

STEP 3: Convert Result to Output's Unit

18008.30859375 Newton per Cubic Meter -->18.00830859375 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

18.00830859375 ≈ 18.00831 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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< Specialization of Terzaghi's Equations Calculators

Bearing Capacity Factor Dependent on Cohesion

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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)

Unit Weight of Soil given Shape Factor Formula

LaTeX Go

What is Unit Weight of Soil?

Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water. Total volume occupied includes the volume of water as well as the volume of air along with the soil volume.

How to Calculate Unit Weight of Soil given Shape Factor?

Unit Weight of Soil given Shape Factor calculator uses Unit Weight of Soil = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*Shape Factor Dependent on Unit Weight) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Shape Factor formula is defined as the ratio of the total weight of soil to the total volume of soil, when we have prior information of shape factors. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Shape Factor using this online calculator? To use this online calculator for Unit Weight of Soil given Shape Factor, enter Ultimate Bearing Capacity (q_f), Shape Factor dependent on Cohesion (s_c), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ), Width of Footing (B) & Shape Factor Dependent on Unit Weight (s_γ) and hit the calculate button. Here is how the Unit Weight of Soil given Shape Factor calculation can be explained with given input values -> -0.001851 = (60000-((1.7*4230*1.93)+(10*2.01)))/(0.5*1.6*2*1.6).

FAQ

What is Unit Weight of Soil given Shape Factor?

The Unit Weight of Soil given Shape Factor formula is defined as the ratio of the total weight of soil to the total volume of soil, when we have prior information of shape factors and is represented as γ = (q_f-((s_c*C*N_c)+(σ'*N_q)))/(0.5*N_γ*B*s_γ) or Unit Weight of Soil = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*Shape Factor Dependent on Unit Weight). The Ultimate Bearing Capacity is defined as the minimum gross pressure intensity at the base of the foundation at which the soil fails in shear, 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 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, Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil, Width of Footing is the shorter dimension of the footing & Shape Factor dependent on Unit Weight is the factor in soil mechanics used in calculating bearing capacity.

How to calculate Unit Weight of Soil given Shape Factor?

The Unit Weight of Soil given Shape Factor formula is defined as the ratio of the total weight of soil to the total volume of soil, when we have prior information of shape factors is calculated using Unit Weight of Soil = (Ultimate Bearing Capacity-((Shape Factor dependent on Cohesion*Cohesion*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing*Shape Factor Dependent on Unit Weight). To calculate Unit Weight of Soil given Shape Factor, you need Ultimate Bearing Capacity (q_f), Shape Factor dependent on Cohesion (s_c), Cohesion (C), Bearing Capacity Factor dependent on Cohesion (N_c), Effective Surcharge (σ'), Bearing Capacity Factor dependent on Surcharge (N_q), Bearing Capacity Factor dependent on Unit Weight (N_γ), Width of Footing (B) & Shape Factor Dependent on Unit Weight (s_γ). With our tool, you need to enter the respective value for Ultimate Bearing Capacity, Shape Factor dependent on Cohesion, Cohesion, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight, Width of Footing & 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.

How many ways are there to calculate Unit Weight of Soil?

In this formula, Unit Weight of Soil uses Ultimate Bearing Capacity, Shape Factor dependent on Cohesion, Cohesion, Bearing Capacity Factor dependent on Cohesion, Effective Surcharge, Bearing Capacity Factor dependent on Surcharge, Bearing Capacity Factor dependent on Unit Weight, Width of Footing & Shape Factor Dependent on Unit Weight. We can use 3 other way(s) to calculate the same, which is/are as follows -

Unit Weight of Soil = (Bearing Capacity-((1*Cohesion of Soil given Strip Footing*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge given Strip Footing*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing for Strip Footing*1)
Unit Weight of Soil = (Bearing Capacity-((1.3*Cohesion of Soil given Round Footing*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge given Round Footing*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing for Round Footing*0.6)
Unit Weight of Soil = (Bearing Capacity-((1.3*Cohesion of Soil given Square Footing*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge given Square Footing*Bearing Capacity Factor dependent on Surcharge)))/(0.5*Bearing Capacity Factor dependent on Unit Weight*Width of Footing for Square Footing*0.8)

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