Vertical Depth below Free Surface given Total Force exerted at any Section of Container Calculator

Formula Used:

\[ Height of Crack = \sqrt{\frac{2 \times Force on Cylinder}{Specific Weight of Liquid \times Width of Section}} \] \[ h = \sqrt{\frac{2 \times FC}{y \times B}} \]

Height of Crack (h):

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1. What is the Height of Crack Formula?

The Height of Crack formula calculates the vertical depth below the free surface given the total force exerted at any section of a container. It is used in fluid mechanics and structural engineering to determine crack dimensions under specific loading conditions.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ h = \sqrt{\frac{2 \times FC}{y \times B}} \]

Where:

\( h \) — Height of Crack (m)
\( FC \) — Force on Cylinder (N)
\( y \) — Specific Weight of Liquid (N/m³)
\( B \) — Width of Section (m)

Explanation: The formula calculates the height of a crack based on the force applied, specific weight of the liquid, and the width of the section.

3. Importance of Height of Crack Calculation

Details: Accurate calculation of crack height is crucial for assessing structural integrity, predicting failure points, and designing safe containers and pressure vessels.

4. Using the Calculator

Tips: Enter force in Newtons, specific weight in N/m³, and width in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for input values?
A: Force should be in Newtons (N), specific weight in Newtons per cubic meter (N/m³), and width in meters (m).

Q2: Can this formula be used for any type of container?
A: The formula is specifically designed for cylindrical containers with rectangular cross-sections under specific loading conditions.

Q3: What is the significance of the square root in the formula?
A: The square root accounts for the non-linear relationship between the force applied and the resulting crack height.

Q4: Are there limitations to this equation?
A: This equation assumes ideal conditions and may not account for material properties, temperature variations, or complex loading scenarios.

Q5: How accurate is this calculation for real-world applications?
A: While providing a good estimate, real-world applications may require additional factors and safety margins for precise engineering calculations.