Total Pressure by Volume of Prism Calculator

Total Pressure by Volume of Prism Formula:

\[ P_T = \frac{S \cdot (h_1 + h_2)}{2} \cdot b \cdot L \]

Specific Weight of Liquid (S):

kN/m³

Vertical Depth h1:

Vertical Depth h2:

Breadth of Section (b):

Length of Prism (L):

Total Pressure (P_T):

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1. What is Total Pressure by Volume of Prism?

Total Pressure by Volume of Prism refers to the combined pressure exerted on a prismatic section submerged in a liquid. It is calculated based on the specific weight of the liquid and the geometric properties of the prism.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_T = \frac{S \cdot (h_1 + h_2)}{2} \cdot b \cdot L \]

Where:

\( P_T \) — Total Pressure (kN)
\( S \) — Specific Weight of Liquid (kN/m³)
\( h_1 \) — Vertical Depth h1 (m)
\( h_2 \) — Vertical Depth h2 (m)
\( b \) — Breadth of Section (m)
\( L \) — Length of Prism (m)

Explanation: The formula calculates the total pressure by taking the average of the two vertical depths, multiplying by the specific weight, and then by the cross-sectional area of the prism.

3. Importance of Total Pressure Calculation

Details: Accurate calculation of total pressure is crucial for structural design, hydraulic engineering, and fluid mechanics applications where pressure distribution on submerged surfaces needs to be determined.

4. Using the Calculator

Tips: Enter all values in appropriate units. Specific weight should be in kN/m³, depths and dimensions in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is specific weight of a liquid?
A: Specific weight is the weight per unit volume of a material, typically measured in kN/m³ or lb/ft³.

Q2: How do vertical depths h1 and h2 differ?
A: h1 and h2 represent different vertical depth measurements below the free surface of the liquid, used to calculate the average depth for pressure calculation.

Q3: What types of liquids can this calculator handle?
A: This calculator works for any liquid as long as you know its specific weight, including water, oil, mercury, etc.

Q4: Are there limitations to this formula?
A: This formula assumes uniform pressure distribution and is most accurate for prismatic sections with consistent cross-sections.

Q5: How is this different from hydrostatic pressure?
A: While related, total pressure by volume of prism considers the entire volume and shape of the submerged object, whereas hydrostatic pressure typically refers to pressure at a specific point.