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Shape Factor Dependent on Cohesion Formula

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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. Check FAQs

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

s_c - Shape Factor dependent on Cohesion?q_f - Ultimate Bearing Capacity?σ' - Effective Surcharge?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?N_c - Bearing Capacity Factor dependent on Cohesion?C - Cohesion?

Shape Factor Dependent on Cohesion Example

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With units

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

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

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

1.7026 = \frac{60 - ((10 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 1.6))}{1.93 \cdot 4.23}

1.7026 = \frac{60kPa - ((10Pa \cdot 2.01) + (0.5 \cdot 18kN/m³ \cdot 2m \cdot 1.6 \cdot 1.6))}{1.93 \cdot 4.23kPa}

1.7026 = \frac{60 - ((10 \cdot 2.01) + (0.5 \cdot 18 \cdot 2 \cdot 1.6 \cdot 1.6))}{1.93 \cdot 4.23}

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Shape Factor Dependent on Cohesion Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

s c = 1.70260537243229

LAST Step Rounding Answer

∴

s c = 1.7026

Shape Factor Dependent on Cohesion Formula Elements

Variables

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

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

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

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

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

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

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 Cohesion?

Shape Factor Dependent on Cohesion evaluator uses 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) to evaluate the Shape Factor dependent on Cohesion, The Shape Factor Dependent on Cohesion formula is defined as the value of shape factor dependent on cohesion when we have prior information of other parameters used. It is a parameter that quantifies how the shape of a soil element or foundation affects its bearing capacity when cohesive forces are present. Shape Factor dependent on Cohesion is denoted by s_c symbol.

How to evaluate Shape Factor Dependent on Cohesion using this online evaluator? To use this online evaluator for Shape Factor Dependent on Cohesion, enter Ultimate Bearing Capacity (q_f), Effective Surcharge (σ'), 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), Bearing Capacity Factor dependent on Cohesion (N_c) & Cohesion (C) and hit the calculate button.

FAQs on Shape Factor Dependent on Cohesion

What is the formula to find Shape Factor Dependent on Cohesion?

The formula of Shape Factor Dependent on Cohesion is expressed as 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). Here is an example- 0.365114 = (60000-((10*2.01)+(0.5*18000*2*1.6*1.6)))/(1.93*4230).

How to calculate Shape Factor Dependent on Cohesion?

With Ultimate Bearing Capacity (q_f), Effective Surcharge (σ'), 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), Bearing Capacity Factor dependent on Cohesion (N_c) & Cohesion (C) we can find Shape Factor Dependent on Cohesion using the formula - 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).

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Shape Factor Dependent on Cohesion Formula

Shape Factor Dependent on Cohesion Example

Shape Factor Dependent on Cohesion Solution

Shape Factor Dependent on Cohesion Formula Elements

Other formulas in Specialization of Terzaghi's Equations category

How to Evaluate Shape Factor Dependent on Cohesion?

FAQs on Shape Factor Dependent on Cohesion

Variable Name