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Rankine Active & Passive Earth Pressure (K_a, K_p) & Wall Thrust Force Calculator

Easily calculate and compute rankine active & passive earth pressure (k_a, k_p) & wall thrust force calculator with accurate equations, live formulas, and expert guidance.

Total vertical height of wall stem.

Moist bulk soil unit weight.

Soil shear friction angle.

Cohesion of backfill (enter 0 for cohesionless sand/gravel).

Surcharge load on backfill surface.

Calculated Result
86.4 kN/m

Active Earth Thrust (P_a)

Active Earth Thrust (P_a)

86.4 kN/m

Total Active Thrust Pa Kn Per M

86.4

Total Passive Thrust Pp Kn Per M

752.6

Active Pressure Coefficient Ka

0.307

Passive Pressure Coefficient Kp

3.25

86.4 — kN/m

Calculation Breakdown

  1. Applied FormulaComputes Rankine lateral earth pressure coefficients (Ka, Kp), lateral thrust forces, and base overturning moments on cantilever retaining walls from backfill and surface surcharges.P_a = \int_0^H \sigma_a dz, \quad K_p = \tan^2\left(45^\circ + \frac{\phi}{2}\right) = \frac{1}{K_a}

Rankine Earth Pressure Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.022436586Active Earth Thrust (P_a)

What Is the Rankine Active & Passive Earth Pressure (K_a, K_p) & Wall Thrust Force Calculator?

This tool computes rankine active & passive earth pressure (k_a, k_p) & wall thrust force calculator with high precision arithmetic.

How Does the Rankine Active & Passive Earth Pressure (K_a, K_p) & Wall Thrust Force Calculator Work?

Computes Rankine lateral earth pressure coefficients (Ka, Kp), lateral thrust forces, and base overturning moments on cantilever retaining walls from backfill and surface surcharges.

Rankine Active & Passive Earth Pressure (K_a, K_p) & Wall Thrust Force Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Pa=∫0Hσadz,Kp=tan⁡2(45∘+ϕ2)=1KaP_a = \int_0^H \sigma_a dz, \quad K_p = \tan^2\left(45^\circ + \frac{\phi}{2}\right) = \frac{1}{K_a}

Computes Rankine lateral earth pressure coefficients (Ka, Kp), lateral thrust forces, and base overturning moments on cantilever retaining walls from backfill and surface surcharges.

How to Use the Rankine Active & Passive Earth Pressure (K_a, K_p) & Wall Thrust Force Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Rankine Active & Passive Earth Pressure (K_a, K_p) & Wall Thrust Force Calculator Example

Input Values:

retainingWallHeightM:5
soilUnitWeightKnPerM3:18.5
frictionAnglePhiDeg:32
cohesionCKpa:0
surchargePressureQkpa:10
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required kN/m.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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