Janssen Silo Wall Pressure Distribution Model Calculator

Quick Answer

Calculate Janssen Silo Wall Pressure Distribution Model

Result Interpretation

Janssen Silo Wall Pressure Distribution Model Calculator computes Silo wall pressure distribution in Pa using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

Rankine lateral pressure coefficient = 0.5
Hydraulic radius (D/2 for circular silo) = 2.5
Gravitational acceleration = 9.81
Vertical depth from free surface = 5
Wall friction coefficient = 0.4
Bulk density = 800

Expected Result:

Silo wall pressure distribution = 32341.603483904

Engineering Interpretation:

Under the given input conditions, the calculated result is: Silo wall pressure distribution = 32341.603483904 Pa.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

silo wall pressure distribution = bulk density * gravitational acceleration * D/2 for circular silo * (1 - exp(-rankine lateral pressure coefficient * wall friction coefficient * vertical depth from free surface / D/2 for circular silo)) / (rankine lateral pressure coefficient * wall friction coefficient)

Formula family: formula_bulk_silo_wall_pressure_distribution_calculator

Variables

Symbol	Label	Role	Description
rho_b	Bulk density	INPUT	Bulk density
g	Gravitational acceleration	INPUT	Gravitational acceleration
R	Hydraulic radius (D/2 for circular silo)	INPUT	Hydraulic radius (D/2 for circular silo)
K	Rankine lateral pressure coefficient	INPUT	Rankine lateral pressure coefficient
mu_w	Wall friction coefficient	INPUT	Wall friction coefficient
z	Vertical depth from free surface	INPUT	Vertical depth from free surface
wall_pressure_distribution	Silo wall pressure distribution	OUTPUT	Silo wall pressure distribution

Calculation Steps

Enter the bulk density in kg/m^3.
Enter the gravitational acceleration in m/s^2.
Enter the hydraulic radius (d/2 for circular silo) in m.
Enter the rankine lateral pressure coefficient in dimensionless.
Enter the wall friction coefficient in dimensionless.
Enter the vertical depth from free surface in m.
Step 1: Compute silo wall pressure distribution.
Read the silo wall pressure distribution (Pa) from the results.

Engineering Summary

Calculate Janssen Silo Wall Pressure Distribution Model

Frequently Asked Questions

What does this calculator calculate?

The Janssen Silo Wall Pressure Distribution Model Calculator estimates Silo wall pressure distribution based on the input parameters you provide

Why is bulk density important in this calculation?

bulk density is directly proportional to silo wall pressure distribution. When you enter bulk density in kg/m^3, the calculator uses it in the engineering formula to compute the output

How should I interpret the result silo wall pressure distribution?

The calculator outputs silo wall pressure distribution in Pa. For higher pressures, divide by 1000 to express in kPa, or by 101325 for atmospheres. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Bulk density (kg/m^3), Gravitational acceleration (m/s^2), Hydraulic radius (D/2 for circular silo) (m), Rankine lateral pressure coefficient (dimensionless), Wall friction coefficient (dimensionless), Vertical depth from free surface (m). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment