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Unit Weight of Soil given Shape Factor Formula

GoUnit Weight of Soil given Strip Footing and Bearing Capacity Formula

GoUnit Weight of Soil given Round Footing and Bearing Capacity Formula

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

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

γ - Unit Weight of Soil?q_f - Ultimate Bearing Capacity?s_c - Shape Factor dependent on Cohesion?C - Cohesion?N_c - Bearing Capacity Factor dependent on Cohesion?σ' - Effective Surcharge?N_q - Bearing Capacity Factor dependent on Surcharge?N_γ - Bearing Capacity Factor dependent on Unit Weight?B - Width of Footing?s_γ - Shape Factor Dependent on Unit Weight?

Unit Weight of Soil given Shape Factor Example

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Here is how the Unit Weight of Soil given Shape Factor equation looks like with Values.

Here is how the Unit Weight of Soil given Shape Factor equation looks like with Units.

Here is how the Unit Weight of Soil given Shape Factor equation looks like.

18.0083 = \frac{60 - ((1.7 \cdot 4.23 \cdot 1.93) + (10 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2 \cdot 1.6}

18.0083kN/m³ = \frac{60kPa - ((1.7 \cdot 4.23kPa \cdot 1.93) + (10Pa \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2m \cdot 1.6}

18.0083 = \frac{60 - ((1.7 \cdot 4.23 \cdot 1.93) + (10 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2 \cdot 1.6}

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Unit Weight of Soil given Shape Factor Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Shape Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ = \frac{60kPa - ((1.7 \cdot 4.23kPa \cdot 1.93) + (10Pa \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2m \cdot 1.6}

Next Step Convert Units

∴

γ = \frac{60000Pa - ((1.7 \cdot 4230Pa \cdot 1.93) + (10Pa \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2m \cdot 1.6}

Next Step Prepare to Evaluate

∴

γ = \frac{60000 - ((1.7 \cdot 4230 \cdot 1.93) + (10 \cdot 2.01))}{0.5 \cdot 1.6 \cdot 2 \cdot 1.6}

Next Step Evaluate

∴

γ = 18008.30859375N/m³

Next Step Convert to Output's Unit

∴

γ = 18.00830859375kN/m³

LAST Step Rounding Answer

∴

γ = 18.0083kN/m³

Unit Weight of Soil given Shape Factor Formula Elements

Variables

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

Ultimate Bearing Capacity

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.

Symbol: q_f

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Ultimate 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

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.

Symbol: σ'

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Effective Surcharge

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

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

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

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 to find Unit Weight of Soil

Go Unit Weight of Soil given Strip Footing and Bearing Capacity

γ = \frac{q s - ((1 \cdot C st \cdot N c) + (σ strip \cdot N q))}{0.5 \cdot N γ \cdot B strip \cdot 1}

Go Unit Weight of Soil given Round Footing and Bearing Capacity

γ = \frac{q s - ((1.3 \cdot C r \cdot N c) + (σ round \cdot N q))}{0.5 \cdot N γ \cdot B round \cdot 0.6}

Other formulas in Specialization of Terzaghi's Equations category

Go Bearing Capacity depending on Shape Factors

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)

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}

How to Evaluate Unit Weight of Soil given Shape Factor?

Unit Weight of Soil given Shape Factor evaluator 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 evaluate 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 evaluate Unit Weight of Soil given Shape Factor using this online evaluator? To use this online evaluator 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.

FAQs on Unit Weight of Soil given Shape Factor

What is the formula to find Unit Weight of Soil given Shape Factor?

The formula of Unit Weight of Soil given Shape Factor is expressed as 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). Here is an example- -0.001851 = (60000-((1.7*4230*1.93)+(10*2.01)))/(0.5*1.6*2*1.6).

How to calculate Unit Weight of Soil given Shape Factor?

With 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) we can find Unit Weight of Soil given Shape Factor using the formula - 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).

What are the other ways to Calculate Unit Weight of Soil?

Here are the different ways to Calculate Unit Weight of Soil-

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)

Can the Unit Weight of Soil given Shape Factor be negative?

No, the Unit Weight of Soil given Shape Factor, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Shape Factor?

Unit Weight of Soil given Shape Factor is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Unit Weight of Soil given Shape Factor can be measured.

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Unit Weight of Soil given Shape Factor Formula

​GoUnit Weight of Soil given Strip Footing and Bearing Capacity Formula

​GoUnit Weight of Soil given Round Footing and Bearing Capacity Formula

Unit Weight of Soil given Shape Factor Example

Unit Weight of Soil given Shape Factor Solution

Unit Weight of Soil given Shape Factor Formula Elements

Other Formulas to find Unit Weight of Soil

Other formulas in Specialization of Terzaghi's Equations category

How to Evaluate Unit Weight of Soil given Shape Factor?

FAQs on Unit Weight of Soil given Shape Factor

Variable Name

GoUnit Weight of Soil given Strip Footing and Bearing Capacity Formula

GoUnit Weight of Soil given Round Footing and Bearing Capacity Formula