Loading Intensity given Passive Earth Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Intensity of Loading in Kilopascal = ((2*(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp))/Width of Footing in Soil Mechanics)+(Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-(Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4
q = ((2*(Ppq+Ppc+P))/B)+(C*tan((φ*pi)/180))-(γ*B*tan((φ*pi)/180))/4
This formula uses 1 Constants, 1 Functions, 8 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
Intensity of Loading in Kilopascal - (Measured in Pascal) - Intensity of Loading in Kilopascal is defined as the Intensity of Loading at the base of foundation, at which soil support fails in shear is called ultimate bearing capacity of soils in kilopascal.
Passive Earth Pressure Rely on Surcharge in Kp - (Measured in Pascal) - Passive Earth Pressure Rely on Surcharge in Kp means that passive earth pressure which is produced by surcharge in kilopascal.
Passive Earth Pressure Dependent on Cohesion in Kp - (Measured in Pascal) - Passive Earth Pressure Dependent on Cohesion in Kp means that passive earth pressure which is produced by soil cohesion in kilopascal.
Passive Earth Pressure dependent on Weight in Kp - (Measured in Pascal) - Passive Earth Pressure dependent on Weight in Kp means that passive earth pressure which is produced by weight of the shear zone in Kilopascal.
Width of Footing in Soil Mechanics - (Measured in Meter) - Width of Footing in Soil Mechanics is the shorter dimension of the footing.
Cohesion in Soil as Kilopascal - (Measured in Pascal) - Cohesion in Soil as Kilopascal 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Passive Earth Pressure Rely on Surcharge in Kp: 0.03 Kilopascal --> 30 Pascal (Check conversion ​here)
Passive Earth Pressure Dependent on Cohesion in Kp: 0.07 Kilopascal --> 70 Pascal (Check conversion ​here)
Passive Earth Pressure dependent on Weight in Kp: 0.06 Kilopascal --> 60 Pascal (Check conversion ​here)
Width of Footing in Soil Mechanics: 0.232 Meter --> 0.232 Meter No Conversion Required
Cohesion in Soil as Kilopascal: 1.27 Kilopascal --> 1270 Pascal (Check conversion ​here)
Angle of Shearing Resistance: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = ((2*(Ppq+Ppc+P))/B)+(C*tan((φ*pi)/180))-(γ*B*tan((φ*pi)/180))/4 --> ((2*(30+70+60))/0.232)+(1270*tan((0.785398163397301*pi)/180))-(18000*0.232*tan((0.785398163397301*pi)/180))/4
Evaluating ... ...
q = 1382.40849804036
STEP 3: Convert Result to Output's Unit
1382.40849804036 Pascal -->1.38240849804036 Kilopascal (Check conversion ​here)
FINAL ANSWER
1.38240849804036 1.382408 Kilopascal <-- Intensity of Loading in Kilopascal
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
Suraj Kumar has created this Calculator and 2100+ more calculators!
Verifier Image
Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has verified this Calculator and 2600+ more calculators!

Passive Earth Pressure Theory Calculators

Passive Earth Pressure Produced by Weight of Shear Zone
​ LaTeX ​ Go Passive Earth Pressure dependent on Weight in Kp = (((Intensity of Loading in Kilopascal*Width of Footing in Soil Mechanics)-(Width of Footing in Soil Mechanics*Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))+((Unit Weight of Soil*(Width of Footing in Soil Mechanics)^2*tan((Angle of Shearing Resistance*pi)/180))/4))/(2))-(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp)
Loading Intensity given Passive Earth Pressure
​ LaTeX ​ Go Intensity of Loading in Kilopascal = ((2*(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp))/Width of Footing in Soil Mechanics)+(Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-(Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4
Passive Earth Pressure given Loading Intensity
​ LaTeX ​ Go Passive Earth Pressure in kilopascal = (Intensity of Loading in Kilopascal-((Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-((Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4)))*(Width of Footing in Soil Mechanics/2)
Angle of Shearing Resistance given Passive Earth Pressure
​ LaTeX ​ Go Angle of shearing resistance in Soil Mechanics = atan((Intensity of Loading in Kilopascal*Width of Footing in Soil Mechanics-(2*Passive Earth Pressure in kilopascal))/(Width of Footing in Soil Mechanics*Cohesion in Soil as Kilopascal-((Unit Weight of Soil*Width of Footing in Soil Mechanics^2)/4)))

Loading Intensity given Passive Earth Pressure Formula

​LaTeX ​Go
Intensity of Loading in Kilopascal = ((2*(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp))/Width of Footing in Soil Mechanics)+(Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-(Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4
q = ((2*(Ppq+Ppc+P))/B)+(C*tan((φ*pi)/180))-(γ*B*tan((φ*pi)/180))/4

What is Active and Passive Earth Pressure?

The pressure exerted by backfill soil on retaining wall, is called as active earth pressure. The pressure exerted by retaining wall on soil is known as passive earth pressure.

How to Calculate Loading Intensity given Passive Earth Pressure?

Loading Intensity given Passive Earth Pressure calculator uses Intensity of Loading in Kilopascal = ((2*(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp))/Width of Footing in Soil Mechanics)+(Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-(Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4 to calculate the Intensity of Loading in Kilopascal, The Loading Intensity given Passive Earth Pressure is defined as the value of loading intensity when we have prior information of other parameters used. Intensity of Loading in Kilopascal is denoted by q symbol.

How to calculate Loading Intensity given Passive Earth Pressure using this online calculator? To use this online calculator for Loading Intensity given Passive Earth Pressure, enter Passive Earth Pressure Rely on Surcharge in Kp (Ppq), Passive Earth Pressure Dependent on Cohesion in Kp (Ppc), Passive Earth Pressure dependent on Weight in Kp (P), Width of Footing in Soil Mechanics (B), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ) & Unit Weight of Soil (γ) and hit the calculate button. Here is how the Loading Intensity given Passive Earth Pressure calculation can be explained with given input values -> 0.001434 = ((2*(30+70+60))/0.232)+(1270*tan((0.785398163397301*pi)/180))-(18000*0.232*tan((0.785398163397301*pi)/180))/4.

FAQ

What is Loading Intensity given Passive Earth Pressure?
The Loading Intensity given Passive Earth Pressure is defined as the value of loading intensity when we have prior information of other parameters used and is represented as q = ((2*(Ppq+Ppc+P))/B)+(C*tan((φ*pi)/180))-(γ*B*tan((φ*pi)/180))/4 or Intensity of Loading in Kilopascal = ((2*(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp))/Width of Footing in Soil Mechanics)+(Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-(Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4. Passive Earth Pressure Rely on Surcharge in Kp means that passive earth pressure which is produced by surcharge in kilopascal, Passive Earth Pressure Dependent on Cohesion in Kp means that passive earth pressure which is produced by soil cohesion in kilopascal, Passive Earth Pressure dependent on Weight in Kp means that passive earth pressure which is produced by weight of the shear zone in Kilopascal, Width of Footing in Soil Mechanics is the shorter dimension of the footing, Cohesion in Soil as Kilopascal 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, 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 & Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
How to calculate Loading Intensity given Passive Earth Pressure?
The Loading Intensity given Passive Earth Pressure is defined as the value of loading intensity when we have prior information of other parameters used is calculated using Intensity of Loading in Kilopascal = ((2*(Passive Earth Pressure Rely on Surcharge in Kp+Passive Earth Pressure Dependent on Cohesion in Kp+Passive Earth Pressure dependent on Weight in Kp))/Width of Footing in Soil Mechanics)+(Cohesion in Soil as Kilopascal*tan((Angle of Shearing Resistance*pi)/180))-(Unit Weight of Soil*Width of Footing in Soil Mechanics*tan((Angle of Shearing Resistance*pi)/180))/4. To calculate Loading Intensity given Passive Earth Pressure, you need Passive Earth Pressure Rely on Surcharge in Kp (Ppq), Passive Earth Pressure Dependent on Cohesion in Kp (Ppc), Passive Earth Pressure dependent on Weight in Kp (P), Width of Footing in Soil Mechanics (B), Cohesion in Soil as Kilopascal (C), Angle of Shearing Resistance (φ) & Unit Weight of Soil (γ). With our tool, you need to enter the respective value for Passive Earth Pressure Rely on Surcharge in Kp, Passive Earth Pressure Dependent on Cohesion in Kp, Passive Earth Pressure dependent on Weight in Kp, Width of Footing in Soil Mechanics, Cohesion in Soil as Kilopascal, Angle of Shearing Resistance & Unit Weight of Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!