Civil, Structural & Mechanical Engineering

Earth Pressure (Coulomb) Calculator

Use this Earth Pressure Coulomb calculator with formula, visible units, assumptions, input checks, and FAQs for engineering review.

deg
deg
kN/m3
m
Active Earth Force (kN/m)
44.419
Coulomb Active Coefficient0.308

Calculated locally in your browser. Fast, secure, and private.

Quick Answer

Use the Earth Pressure (Coulomb) Calculator to estimate active earth force using a simplified Coulomb active pressure coefficient. In plain terms, enter Soil Friction Angle (deg), Wall Friction Angle (deg), Soil Unit Weight (kN/m3), Wall Height (m) and the calculator returns Active earth force with supporting values where the formula produces them.

This page is built for civil engineers, geotechnical reviewers, pavement analysts, students, and field teams. It is most useful for early soil, groundwater, lateral earth pressure, settlement, and pavement loading checks where site data is already known. The calculator keeps every input unit visible, shows the governing equation, and separates formula math from design approval so humans, search engines, and AI agents can understand exactly what is being computed.

Formula

Pa=12KaγH2\begin{aligned} P_a = \frac{1}{2}K_a\gamma H^2 \end{aligned}

Where:
PaP_a=
Active earth force
KaK_a=
Coulomb active coefficient
gamma=
Soil unit weight
H=
Wall height

The formula block above is the calculation used by the tool. The variable list below the equation defines the symbols in the same context as the calculator fields, so you can audit the math before relying on the result.

How to Use This Calculator

  1. Enter each known value using the unit printed beside the field. For this calculator, common starting inputs include Soil Friction Angle (deg), Wall Friction Angle (deg), Soil Unit Weight (kN/m3), Wall Height (m).
  2. Confirm that coefficients, material properties, pressure basis, and geometry match the real system you are checking.
  3. Read the primary output first, then review any secondary values for intermediate checks or interpretation.
  4. Change one input at a time when comparing alternatives. This makes sensitivity checks easier and helps identify which assumption controls the result.
  5. Save or share the calculator URL after entering non-default values if you need a repeatable calculation record.

Inputs and Units

InputUnitDefaultWhy it matters
Soil Friction Angledeg30Represents a material property, coefficient, or empirical factor that should come from reliable data.
Wall Friction Angledeg10Represents a material property, coefficient, or empirical factor that should come from reliable data.
Soil Unit WeightkN/m318Defines the applied demand or transfer rate used by the equation.
Wall Heightm4Defines the geometry, size, or flow area that strongly affects the result.

Example Workflow

A practical workflow is to start with the default values, replace Soil Friction Angle with your project value in deg, then update the remaining inputs from drawings, field measurements, lab data, supplier tables, or project specifications. After the result updates, compare it with an independent hand check and with any project limits that apply to the same load case or operating condition.

For AI agents and spreadsheet workflows, use the exact input IDs from the public manifest or API payload contract rather than guessing from the visible labels. This prevents unit mix-ups and keeps the calculation reproducible.

Result Interpretation

The primary result is Active earth force. In geotechnical and civil engineering, small changes in soil parameters can create large changes in capacity, pressure, flow, or settlement, so sensitivity checks are especially important. A result that looks unexpectedly high, low, or sensitive to a small input change is usually a signal to check units, assumptions, boundary conditions, and the valid range of the equation before moving on.

Use this output as a transparent engineering calculation, not as a hidden design decision. For safety-critical or regulated work, document the input source, the formula assumption, the applicable standard, and the review path.

Assumptions and Limits

  • Soil parameters are representative of the layer, drainage condition, and loading condition being checked.
  • The calculation does not replace borings, lab testing, groundwater monitoring, geotechnical reporting, or pavement design standards.
  • Layering, surcharge, seismic loading, slope geometry, construction disturbance, and long-term groundwater changes may control the actual design.
  • The calculator does not add hidden safety factors, resistance factors, load combinations, code allowances, inspection requirements, or permit rules.

Common Mistakes

  • Entering total stress where the formula expects effective stress.
  • Using a single soil unit weight or friction angle for a layered profile.
  • Reading a screening value as a foundation, wall, or pavement design approval.
  • Entering values with the right number but the wrong unit, such as using mm where m is expected or using a nominal dimension where an internal dimension is required.

References and Further Checks

These references are useful for context and validation, but the calculator itself remains a simplified formula tool:

For final engineering decisions, compare the result with governing codes, manufacturer data, site-specific measurements, and professional judgment.

Frequently Asked Questions

Use the displayed formula to calculate active earth force from coulomb active coefficient, soil unit weight, and wall height. Enter the calculator inputs in the units shown beside each field, then compare the primary result, Active earth force, with your project limit or independent hand check.

The calculator uses Soil Friction Angle (deg), Wall Friction Angle (deg), Soil Unit Weight (kN/m3), Wall Height (m). Each field has a fixed visible unit so the formula can be checked consistently and repeated through the public API or calculator manifest.

Soil parameters are representative of the layer, drainage condition, and loading condition being checked. It also assumes the closed-form equation is appropriate for the geometry, material, coefficient, and operating condition you enter.

Start with Active earth force. The most important terms to verify are Active earth force; Coulomb active coefficient; Soil unit weight; Wall height. If the value changes sharply after a small input change, run a sensitivity check and verify the governing assumptions before using the result.

No. Use it as an educational or early engineering check. Final work should be reviewed against applicable codes, standards, manufacturer data, site conditions, testing, and qualified professional judgment.