Bending Moment to Size Vertical Stiffeners Calculator

Bending Moment Formula:

\[ M_{max} = 0.0642 \times p_{hydrostatic} \times l_e \times H^2 \]

Bending Moment (N·m):

Definition: The bending moment induced in vertical stiffeners when external forces cause the structural element to bend.

Purpose: This calculation helps engineers properly size vertical stiffeners in tank construction to withstand hydrostatic pressures.

The calculator uses the formula:

\[ M_{max} = 0.0642 \times p_{hydrostatic} \times l_e \times H^2 \]

Where:

Explanation: The formula calculates the maximum bending moment that vertical stiffeners must resist based on fluid pressure and tank dimensions.

Details: Proper calculation ensures structural integrity of tanks, prevents deformation or failure, and meets safety standards.

Tips: Enter hydrostatic pressure (N/mm²), effective length (mm), and tank height (mm). All values must be > 0. Results include ±5% tolerance.

Q1: What is hydrostatic pressure?
A: The pressure exerted by a fluid at equilibrium due to gravity, increasing with depth.

Q2: How is effective length determined?
A: It's the distance between supports or points of restraint for the stiffener.

Q3: Why is the height squared in the formula?
A: Bending moment increases with the square of the height due to increasing pressure with depth.

Q4: What safety factors should be considered?
A: Typical safety factors range from 1.5 to 2.0 depending on application and regulations.

Q5: How does this relate to stiffener sizing?
A: The calculated bending moment is used to determine required section modulus for the stiffeners.