Downward Force on Wedge of Soil given Load Intensity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4)
Rv = q*B+((γ*B^2*tan(φ)*(pi/180))/4)
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Total Downward Force in Soil - (Measured in Newton) - Total Downward Force in Soil is the net force on soil in the vertical direction.
Load Intensity - (Measured in Pascal) - Load Intensity is defined as load applied per unit area.
Width of Footing - (Measured in Meter) - Width of Footing is the shorter dimension of the footing.
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.
Angle of Shearing Resistance - (Measured in Radian) - Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.
STEP 1: Convert Input(s) to Base Unit
Load Intensity: 26.85 Kilopascal --> 26850 Pascal (Check conversion here)
Width of Footing: 2 Meter --> 2 Meter No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Angle of Shearing Resistance: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rv = q*B+((γ*B^2*tan(φ)*(pi/180))/4) --> 26850*2+((18000*2^2*tan(0.785398163397301)*(pi/180))/4)
Evaluating ... ...
Rv = 54014.1592653589
STEP 3: Convert Result to Output's Unit
54014.1592653589 Newton -->54.0141592653589 Kilonewton (Check conversion here)
FINAL ANSWER
54.0141592653589 54.01416 Kilonewton <-- Total Downward Force in Soil
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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8 Bearing Capacity of Soil: Terzaghi's Analysis Calculators

Cohesion of Soil given Loading Intensity by Terzaghi's Analysis
Go Cohesion in Soil as Kilopascal = (Load Intensity-(((2*Passive Earth Pressure in kilopascal)/Width of Footing)-((Unit Weight of Soil*Width of Footing*tan((Angle of Shearing Resistance*pi)/180))/4)))/tan((Angle of Shearing Resistance*pi)/180)
Width of Footing given Load Intensity
Go Width of Footing = (-Load Intensity+sqrt((Load Intensity)^2+Total Downward Force in Soil*Unit Weight of Soil*tan(Angle of Shearing Resistance)))/((Unit Weight of Soil*tan(Angle of Shearing Resistance))/2)
Loading Intensity using Bearing Capacity Factors
Go Load Intensity = (Cohesion in Soil as Kilopascal*Bearing Capacity Factor dependent on Cohesion)+(Effective Surcharge in KiloPascal*Bearing Capacity Factor dependent on Surcharge)+(0.5*Unit Weight of Soil*Width of Footing*Bearing Capacity Factor dependent on Unit Weight)
Downward Force on Wedge of Soil given Load Intensity
Go Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4)
Width of Footing given Weight of Wedge
Go Width of Footing = sqrt((Weight of Wedge*4)/(tan((Angle of Shearing Resistance*pi)/180)*Unit Weight of Soil))
Unit Weight of Soil given Weight of Wedge and Width of Footing
Go Unit Weight of Soil = (Weight of Wedge in Kilonewton*4)/(tan((Angle of Shearing Resistance))*(Width of Footing)^2)
Angle of Shearing Resistance given Weight of Wedge
Go Angle of Shearing Resistance = atan((Weight of Wedge in Kilonewton*4)/(Unit Weight of Soil*(Width of Footing)^2))
Weight of Wedge given Width of Footing
Go Weight of Wedge in Kilonewton = (tan(Angle of Shearing Resistance)*Unit Weight of Soil*(Width of Footing)^2)/4

Downward Force on Wedge of Soil given Load Intensity Formula

Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4)
Rv = q*B+((γ*B^2*tan(φ)*(pi/180))/4)

What is Wedge?

The wedge is defined as the soil which extends beyond the failure plane of the soil type present at the wall site, and can be calculated once the soil friction angle is known.

How to Calculate Downward Force on Wedge of Soil given Load Intensity?

Downward Force on Wedge of Soil given Load Intensity calculator uses Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4) to calculate the Total Downward Force in Soil, The Downward Force on Wedge of Soil given Load Intensity is defined as the value of downward force on wedge of soil considered when we have prior information of other parameters used. Total Downward Force in Soil is denoted by Rv symbol.

How to calculate Downward Force on Wedge of Soil given Load Intensity using this online calculator? To use this online calculator for Downward Force on Wedge of Soil given Load Intensity, enter Load Intensity (q), Width of Footing (B), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ) and hit the calculate button. Here is how the Downward Force on Wedge of Soil given Load Intensity calculation can be explained with given input values -> 0.054014 = 26850*2+((18000*2^2*tan(0.785398163397301)*(pi/180))/4).

FAQ

What is Downward Force on Wedge of Soil given Load Intensity?
The Downward Force on Wedge of Soil given Load Intensity is defined as the value of downward force on wedge of soil considered when we have prior information of other parameters used and is represented as Rv = q*B+((γ*B^2*tan(φ)*(pi/180))/4) or Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4). Load Intensity is defined as load applied per unit area, Width of Footing is the shorter dimension of the footing, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Angle of Shearing Resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles.
How to calculate Downward Force on Wedge of Soil given Load Intensity?
The Downward Force on Wedge of Soil given Load Intensity is defined as the value of downward force on wedge of soil considered when we have prior information of other parameters used is calculated using Total Downward Force in Soil = Load Intensity*Width of Footing+((Unit Weight of Soil*Width of Footing^2*tan(Angle of Shearing Resistance)*(pi/180))/4). To calculate Downward Force on Wedge of Soil given Load Intensity, you need Load Intensity (q), Width of Footing (B), Unit Weight of Soil (γ) & Angle of Shearing Resistance (φ). With our tool, you need to enter the respective value for Load Intensity, Width of Footing, Unit Weight of Soil & Angle of Shearing Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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