Resultant Force Acting On Horizontal Rectangular Surface Calculator

Formula Used:

\[ F_R = (P_o + (\rho_{Fluid} \times [g] \times h)) \times (a \times b) \]

Absolute Pressure above Liquid (P_o):

Density of Fluid (ρ_Fluid):

kg/m³

Vertical Distance of Point from Free Surface (h):

Width of Rectangular Plate (a):

Height of Rectangular Plate (b):

Resultant Force (F_R):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Resultant Force on Horizontal Rectangular Surface?

The resultant force on a horizontal rectangular surface submerged in a fluid is the total force exerted by the fluid on the surface. It accounts for both the atmospheric pressure above the liquid and the hydrostatic pressure due to the fluid column above the surface.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_R = (P_o + (\rho_{Fluid} \times [g] \times h)) \times (a \times b) \]

Where:

\( F_R \) — Resultant Force (N)
\( P_o \) — Absolute Pressure above Liquid (Pa)
\( \rho_{Fluid} \) — Density of Fluid (kg/m³)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( h \) — Vertical Distance of Point from Free Surface (m)
\( a \) — Width of Rectangular Plate (m)
\( b \) — Height of Rectangular Plate (m)

Explanation: The formula calculates the total pressure acting on the surface and multiplies it by the area of the rectangular plate to obtain the resultant force.

3. Importance of Resultant Force Calculation

Details: Calculating resultant force is crucial for structural design of submerged surfaces, dam design, underwater construction, and various hydraulic engineering applications where fluid pressure forces need to be determined.

4. Using the Calculator

Tips: Enter all values in appropriate units. Absolute pressure should be in Pascals, density in kg/m³, distances in meters. All values must be positive with density, width, and height being greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between absolute and gauge pressure?
A: Absolute pressure includes atmospheric pressure, while gauge pressure measures pressure relative to atmospheric pressure. This calculator uses absolute pressure.

Q2: How does fluid density affect the resultant force?
A: Higher fluid density increases the hydrostatic pressure component, resulting in greater resultant force on the submerged surface.

Q3: Why is gravitational acceleration included in the formula?
A: Gravitational acceleration is necessary to calculate the weight of the fluid column above the surface, which contributes to the hydrostatic pressure.

Q4: Can this formula be used for inclined surfaces?
A: No, this specific formula is designed for horizontal surfaces. Inclined surfaces require additional trigonometric components in the calculation.

Q5: What are typical applications of this calculation?
A: This calculation is used in designing tank bottoms, submerged gates, underwater structures, and any engineering application involving fluid pressure on horizontal surfaces.