Skip to main content
CalcPro

Mononobe-Okabe Seismic Earth Pressure (KAE) Calculator

Easily calculate and compute mononobe-okabe seismic earth pressure (kae) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
0.38 dim

Dynamic Active Earth Pressure Coeff (K_AE)

Dynamic Active Earth Pressure Coeff (K_AE)

0.38 dim

Seismic Active Pressure Coeff K A E

0.38

Static Active Pressure Coeff Ka

0.271

Total Seismic Thrust K N Per M

133.3

Pure Seismic Increment Delta P A E K N Per M

38.2

0.38 — dim

Calculation Breakdown

  1. Applied FormulaComputes pseudostatic seismic active earth pressure coefficient KAE and earthquake thrust on retaining walls during ground shaking using the Mononobe-Okabe method.K_{AE} = \frac{\cos^2(\phi - \theta - \psi)}{\cos\psi \cos^2\theta \cos(\delta + \theta + \psi) \left[ 1 + \sqrt{\frac{\sin(\phi + \delta) \sin(\phi - \beta - \psi)}{\cos(\delta + \theta + \psi) \cos(\beta - \theta)}} \right]^2}, \quad \psi = \arctan\left(\frac{k_h}{1 - k_v}\right)

Mononobe-Okabe Seismic Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Dynamic Active Earth Pressure Coeff (K_AE)

What Is the Mononobe-Okabe Seismic Earth Pressure (KAE) Calculator?

This tool computes mononobe-okabe seismic earth pressure (kae) calculator with high precision arithmetic.

How Does the Mononobe-Okabe Seismic Earth Pressure (KAE) Calculator Work?

Computes pseudostatic seismic active earth pressure coefficient KAE and earthquake thrust on retaining walls during ground shaking using the Mononobe-Okabe method.

Mononobe-Okabe Seismic Earth Pressure (KAE) Calculator Formula & Variables

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

KAE=cos⁡2(ϕ−θ−ψ)cos⁡ψcos⁡2θcos⁡(δ+θ+ψ)[1+sin⁡(ϕ+δ)sin⁡(ϕ−β−ψ)cos⁡(δ+θ+ψ)cos⁡(β−θ)]2,ψ=arctan⁡(kh1−kv)K_{AE} = \frac{\cos^2(\phi - \theta - \psi)}{\cos\psi \cos^2\theta \cos(\delta + \theta + \psi) \left[ 1 + \sqrt{\frac{\sin(\phi + \delta) \sin(\phi - \beta - \psi)}{\cos(\delta + \theta + \psi) \cos(\beta - \theta)}} \right]^2}, \quad \psi = \arctan\left(\frac{k_h}{1 - k_v}\right)

Computes pseudostatic seismic active earth pressure coefficient KAE and earthquake thrust on retaining walls during ground shaking using the Mononobe-Okabe method.

How to Use the Mononobe-Okabe Seismic Earth Pressure (KAE) Calculator

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

Step-by-Step Example Calculation

Mononobe-Okabe Seismic Earth Pressure (KAE) Calculator Example

Input Values:

soilFrictionAngleDeg:35
horizontalSeismicCoeffKh:0.2
wallFrictionAngleDeltaDeg:17.5
wallHeightMeters:6
soilUnitWeightKNM3:19.5
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required dim.

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.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.