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Shape Factor Dependent on Unit Weight Formula

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

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

s_γ - Shape Factor Dependent on Unit Weight?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?B - Width of Footing?γ - Unit Weight of Soil?N_γ - Bearing Capacity Factor dependent on Unit Weight?

Shape Factor Dependent on Unit Weight Example

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With units

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Here is how the Shape Factor Dependent on Unit Weight equation looks like with Values.

Here is how the Shape Factor Dependent on Unit Weight equation looks like with Units.

Here is how the Shape Factor Dependent on Unit Weight equation looks like.

1.6007 = \frac{60 - ((1.7 \cdot 4.23 \cdot 1.93) + (10 \cdot 2.01))}{0.5 \cdot 2 \cdot 18 \cdot 1.6}

1.6007 = \frac{60kPa - ((1.7 \cdot 4.23kPa \cdot 1.93) + (10Pa \cdot 2.01))}{0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6}

1.6007 = \frac{60 - ((1.7 \cdot 4.23 \cdot 1.93) + (10 \cdot 2.01))}{0.5 \cdot 2 \cdot 18 \cdot 1.6}

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Shape Factor Dependent on Unit Weight Solution

Follow our step by step solution on how to calculate Shape Factor Dependent on Unit Weight?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s γ = \frac{60kPa - ((1.7 \cdot 4.23kPa \cdot 1.93) + (10Pa \cdot 2.01))}{0.5 \cdot 2m \cdot 18kN/m³ \cdot 1.6}

Next Step Convert Units

∴

s γ = \frac{60000Pa - ((1.7 \cdot 4230Pa \cdot 1.93) + (10Pa \cdot 2.01))}{0.5 \cdot 2m \cdot 18000N/m³ \cdot 1.6}

Next Step Prepare to Evaluate

∴

s γ = \frac{60000 - ((1.7 \cdot 4230 \cdot 1.93) + (10 \cdot 2.01))}{0.5 \cdot 2 \cdot 18000 \cdot 1.6}

Next Step Evaluate

∴

s γ = 1.60073854166667

LAST Step Rounding Answer

∴

s γ = 1.6007

Shape Factor Dependent on Unit Weight Formula Elements

Variables

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

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

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

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

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

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 Shape Factor Dependent on Unit Weight?

Shape Factor Dependent on Unit Weight evaluator uses Shape Factor Dependent on Unit Weight = (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*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight) to evaluate the Shape Factor Dependent on Unit Weight, The Shape Factor Dependent on Unit Weight formula is defined as the value of shape factor when we have prior information of other parameters used. Shape Factor Dependent on Unit Weight is denoted by s_γ symbol.

How to evaluate Shape Factor Dependent on Unit Weight using this online evaluator? To use this online evaluator for Shape Factor Dependent on Unit Weight, 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), Width of Footing (B), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Unit Weight (N_γ) and hit the calculate button.

FAQs on Shape Factor Dependent on Unit Weight

What is the formula to find Shape Factor Dependent on Unit Weight?

The formula of Shape Factor Dependent on Unit Weight is expressed as Shape Factor Dependent on Unit Weight = (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*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight). Here is an example- -0.164552 = (60000-((1.7*4230*1.93)+(10*2.01)))/(0.5*2*18000*1.6).

How to calculate Shape Factor Dependent on Unit Weight?

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), Width of Footing (B), Unit Weight of Soil (γ) & Bearing Capacity Factor dependent on Unit Weight (N_γ) we can find Shape Factor Dependent on Unit Weight using the formula - Shape Factor Dependent on Unit Weight = (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*Width of Footing*Unit Weight of Soil*Bearing Capacity Factor dependent on Unit Weight).

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Shape Factor Dependent on Unit Weight Formula

Shape Factor Dependent on Unit Weight Example

Shape Factor Dependent on Unit Weight Solution

Shape Factor Dependent on Unit Weight Formula Elements

Other formulas in Specialization of Terzaghi's Equations category

How to Evaluate Shape Factor Dependent on Unit Weight?

FAQs on Shape Factor Dependent on Unit Weight

Variable Name