Unit Weight of Soil given Weight of Wedge Calculator

✖Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.ⓘ Weight of Wedge in Kilonewton [W_we]			+10% -10%
✖Length of Slip Plane is the length of plane along which failure may occur.ⓘ Length of Slip Plane [L]			+10% -10%
✖Height of Wedge is defined as the height of soil wedge considered.ⓘ Height of Wedge [h]			+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 Weight of Wedge [γ]

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Unit Weight of Soil given Weight of Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2)
γ = W_we/((L*h)/2)
This formula uses 4 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.
Weight of Wedge in Kilonewton - (Measured in Newton) - Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton.
Length of Slip Plane - (Measured in Meter) - Length of Slip Plane is the length of plane along which failure may occur.
Height of Wedge - (Measured in Meter) - Height of Wedge is defined as the height of soil wedge considered.

STEP 1: Convert Input(s) to Base Unit

Weight of Wedge in Kilonewton: 138.09 Kilonewton --> 138090 Newton (Check conversion here)
Length of Slip Plane: 5 Meter --> 5 Meter No Conversion Required
Height of Wedge: 3.01 Meter --> 3.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = W_we/((L*h)/2) --> 138090/((5*3.01)/2)

Evaluating ... ...

γ = 18350.8305647841

STEP 3: Convert Result to Output's Unit

18350.8305647841 Newton per Cubic Meter -->18.3508305647841 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

18.3508305647841 ≈ 18.35083 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Slope Stability Analysis using Culman's Method Calculators

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

LaTeX Go Height of Wedge = (Height from Toe of Wedge to Top of Wedge*sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180))/sin((Angle of Inclination in Soil Mechanics*pi)/180)

Height of Wedge of Soil given Weight of Wedge

LaTeX Go Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2)

Mobilized Cohesion given Cohesive Force along Slip Plane

LaTeX Go Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane

Cohesive Force along Slip Plane

LaTeX Go Cohesive Force in KN = Mobilized Cohesion in Soil Mechanics*Length of Slip Plane

Unit Weight of Soil given Weight of Wedge Formula

LaTeX Go

Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2)
γ = W_we/((L*h)/2)

What is Unit Weight of Soil?

In soil engineering, unit weight for a soil is a property of a soil which is used to solve the problems related to the earthwork. Unit weight is also known by the name specific weight. Unit weight of the soil is the total weight of the soil divided by total volume.

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

Unit Weight of Soil given Weight of Wedge calculator uses Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2) to calculate 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 calculate Unit Weight of Soil given Weight of Wedge using this online calculator? To use this online calculator 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. Here is how the Unit Weight of Soil given Weight of Wedge calculation can be explained with given input values -> 0.018351 = 138090/((5*3.01)/2).

FAQ

What is Unit Weight of Soil given Weight of Wedge?

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 and is represented as γ = W_we/((L*h)/2) or Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2). Weight of Wedge in Kilonewton is defined as the weight of total soil which is in the form of wedge in terms of Kilonewton, Length of Slip Plane is the length of plane along which failure may occur & Height of Wedge is defined as the height of soil wedge considered.

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

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 is calculated using Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2). To calculate Unit Weight of Soil given Weight of Wedge, you need Weight of Wedge in Kilonewton (W_we), Length of Slip Plane (L) & Height of Wedge (h). With our tool, you need to enter the respective value for Weight of Wedge in Kilonewton, Length of Slip Plane & Height of Wedge 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 Weight of Wedge in Kilonewton, Length of Slip Plane & Height of Wedge. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)))

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