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  1. Total Wind Force

    Total Wind Force: Wind Load Pressure Calculator

    F = total force (N) = pressure times exposed area

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Results

Dynamic Wind Pressure
551.25
pascals (N/m²)
Total Wind Force (Pressure × Area) 5,512.5 N
Wind Speed 30 m/s
Air Density 1.225 kg/m³

What Is Wind Load Pressure?

Wind load pressure is the dynamic pressure exerted by moving air on a surface. It is a fundamental quantity in structural engineering, used to size buildings, signs, solar panels, and other exposed structures. The basic stagnation (dynamic) pressure is given by the well-known relation \(q = \frac{1}{2}\rho v^{2}\), where \(\rho\) is the air density and \(v\) is the wind speed. This calculator is a universal physics tool and is not tied to any specific national building code.

Wind flowing toward a flat vertical surface, creating pressure on it
Wind hitting a surface exerts dynamic pressure proportional to the square of its speed.

How to Use the Calculator

Enter the wind speed in metres per second and the air density in kilograms per cubic metre. At sea level and 15°C, air density is about 1.225 kg/m³. Optionally, enter an exposed area to estimate the total wind force (\(F = q \times A\)). The result shows the dynamic pressure in pascals and, if you provided an area, the corresponding force in newtons.

The Formula Explained

The dynamic pressure formula $$q = \frac{1}{2}\rho v^{2}$$ comes from Bernoulli principle: the kinetic energy of moving air is converted into pressure when the flow is brought to rest against a surface. Because the velocity is squared, doubling the wind speed quadruples the pressure. Real structural design adds shape, exposure, gust, and importance factors on top of this base pressure, but the dynamic pressure is always the starting point.

Diagram showing the relationship of pressure to half air density times velocity squared
Dynamic pressure \(q\) grows with the square of wind speed \(v\).

Worked Example

For a wind speed of 30 m/s and air density 1.225 kg/m³: $$q = 0.5 \times 1.225 \times 30^{2} = 0.5 \times 1.225 \times 900 = 551.25 \text{ Pa}.$$ If this acts on a 10 m² wall, the total force is \(551.25 \times 10 = 5{,}512.5 \text{ N}\).

FAQ

What air density should I use? Use 1.225 kg/m³ for standard sea-level conditions. Density drops at higher altitudes and temperatures.

How do I convert km/h to m/s? Divide km/h by 3.6 before entering the speed (e.g. 108 km/h = 30 m/s).

Does this include code safety factors? No. This is the base dynamic pressure only; multiply by the relevant code factors for design use.

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