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Unit Weight of Soil given Weight of Wedge Formula

GoUnit Weight of Soil given Angle of Mobilized Friction Formula

GoUnit Weight of Soil given Safe Height from Toe to Top of Wedge 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{W we}{\frac{L \cdot h}{2}}

γ - Unit Weight of Soil?W_we - Weight of Wedge in Kilonewton?L - Length of Slip Plane?h - Height of Wedge?

Unit Weight of Soil given Weight of Wedge Example

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

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

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

18.3508 = \frac{138.09}{\frac{5 \cdot 3.01}{2}}

18.3508kN/m³ = \frac{138.09kN}{\frac{5m \cdot 3.01m}{2}}

18.3508 = \frac{138.09}{\frac{5 \cdot 3.01}{2}}

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Unit Weight of Soil given Weight of Wedge Solution

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

FIRST Step Consider the formula

γ = \frac{W we}{\frac{L \cdot h}{2}}

Next Step Substitute values of Variables

∴

γ = \frac{138.09kN}{\frac{5m \cdot 3.01m}{2}}

Next Step Convert Units

∴

γ = \frac{138090N}{\frac{5m \cdot 3.01m}{2}}

Next Step Prepare to Evaluate

∴

γ = \frac{138090}{\frac{5 \cdot 3.01}{2}}

Next Step Evaluate

∴

γ = 18350.8305647841N/m³

Next Step Convert to Output's Unit

∴

γ = 18.3508305647841kN/m³

LAST Step Rounding Answer

∴

γ = 18.3508kN/m³

Unit Weight of Soil given Weight of Wedge 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

Weight of Wedge in Kilonewton

Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.

Symbol: W_we

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Weight of Wedge in Kilonewton

Length of Slip Plane

Length of Slip Plane is the length of plane along which failure may occur.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Slip Plane

Height of Wedge

Height of Wedge is defined as the height of soil wedge considered.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Wedge

Other Formulas to find Unit Weight of Soil

Go Unit Weight of Soil given Angle of Mobilized Friction

γ = \frac{c m}{0.5 \cdot \cos e c (\frac{i \cdot π}{180}) \cdot \sec (\frac{φ mob \cdot π}{180}) \cdot \sin (\frac{(i - θ slope) \cdot π}{180}) \cdot \sin (\frac{(θ slope - φ mob) \cdot π}{180}) \cdot H}

Go Unit Weight of Soil given Safe Height from Toe to Top of Wedge

γ = \frac{4 \cdot c m \cdot \sin (\frac{i \cdot π}{180}) \cdot \cos (\frac{φ mob \cdot π}{180})}{H \cdot (1 - \cos (\frac{(i - φ mob) \cdot π}{180}))}

Other formulas in Slope Stability Analysis using Culman's Method category

Go Height of Wedge of Soil given Weight of Wedge

h = \frac{W we}{\frac{L \cdot γ}{2}}

Go Cohesive Force along Slip Plane

F c = c m \cdot L

Go Mobilized Cohesion given Cohesive Force along Slip Plane

c m = \frac{F c}{L}

Go Height of Wedge of Soil given Angle of Inclination and Slope angle

h = \frac{H \cdot \sin (\frac{(θ i - θ) \cdot π}{180})}{\sin (\frac{θ i \cdot π}{180})}

How to Evaluate Unit Weight of Soil given Weight of Wedge?

Unit Weight of Soil given Weight of Wedge evaluator uses Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Weight of Wedge is defined as the value of unit weight of soil when we have prior information of other parameters used. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Weight of Wedge using this online evaluator? To use this online evaluator for Unit Weight of Soil given Weight of Wedge, enter Weight of Wedge in Kilonewton (W_we), Length of Slip Plane (L) & Height of Wedge (h) and hit the calculate button.

FAQs on Unit Weight of Soil given Weight of Wedge

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

The formula of Unit Weight of Soil given Weight of Wedge is expressed as Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2). Here is an example- 0.018351 = 138090/((5*3.01)/2).

How to calculate Unit Weight of Soil given Weight of Wedge?

With Weight of Wedge in Kilonewton (W_we), Length of Slip Plane (L) & Height of Wedge (h) we can find Unit Weight of Soil given Weight of Wedge using the formula - Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2).

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=Mobilized Cohesion in Soil Mechanics/(0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)*Height from Toe of Wedge to Top of Wedge)
Unit Weight of Soil=(4*Mobilized Cohesion in Soil Mechanics*sin((Angle of Inclination to Horizontal in Soil*pi)/180)*cos((Angle of Mobilized Friction in Soil Mechanics*pi)/180))/(Height from Toe of Wedge to Top of Wedge*(1-cos(((Angle of Inclination to Horizontal in Soil-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)))

Can the Unit Weight of Soil given Weight of Wedge be negative?

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

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

Unit Weight of Soil given Weight of Wedge 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 Weight of Wedge can be measured.

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Unit Weight of Soil given Weight of Wedge Formula

​GoUnit Weight of Soil given Angle of Mobilized Friction Formula

​GoUnit Weight of Soil given Safe Height from Toe to Top of Wedge Formula

Unit Weight of Soil given Weight of Wedge Example

Unit Weight of Soil given Weight of Wedge Solution

Unit Weight of Soil given Weight of Wedge Formula Elements

Other Formulas to find Unit Weight of Soil

Other formulas in Slope Stability Analysis using Culman's Method category

How to Evaluate Unit Weight of Soil given Weight of Wedge?

FAQs on Unit Weight of Soil given Weight of Wedge

Variable Name

GoUnit Weight of Soil given Angle of Mobilized Friction Formula

GoUnit Weight of Soil given Safe Height from Toe to Top of Wedge Formula