Bending Stress in Column due to Wind Load Calculator

Bending Stress Formula:

\[ f_w = \frac{\left(\frac{P_w}{N}\right) \times \left(\frac{L}{2}\right)}{Z} \]

Wind Load acting on Vessel (P_w):

Number of Columns (N):

Length of Columns (L):

Section Modulus (Z):

m³

Bending Stress (f_w):

1. What is Bending Stress in Column due to Wind Load?

Definition: This calculator determines the normal stress induced in a column when subjected to wind loads that cause bending.

Purpose: It helps structural engineers assess the stress levels in vessel support columns under wind loading conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_w = \frac{\left(\frac{P_w}{N}\right) \times \left(\frac{L}{2}\right)}{Z} \]

Where:

\( f_w \) — Bending stress in column (Pascals)
\( P_w \) — Wind load acting on vessel (Newtons)
\( N \) — Number of support columns
\( L \) — Length of columns (meters)
\( Z \) — Section modulus of vessel support (m³)

Explanation: The wind load is distributed among columns, multiplied by the moment arm (half column length), then divided by the section modulus to determine stress.

3. Importance of Bending Stress Calculation

Details: Proper calculation ensures columns can withstand wind forces without excessive deflection or failure, maintaining structural integrity.

4. Using the Calculator

Tips: Enter wind load in Newtons, number of columns, column length in meters, and section modulus in cubic meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is section modulus (Z)?
A: Section modulus is a geometric property that measures a column's resistance to bending, calculated based on its cross-sectional shape.

Q2: Why divide wind load by number of columns?
A: This distributes the total wind load equally among all supporting columns (conservative assumption).

Q3: What's the significance of L/2 in the formula?
A: This represents the moment arm, assuming maximum bending moment occurs at mid-height of the column.

Q4: How do I determine wind load on a vessel?
A: Wind load is calculated based on wind speed, vessel shape, and exposure factors using appropriate engineering standards.

Q5: What's a typical acceptable bending stress value?
A: Depends on material (e.g., steel columns typically allow 150-250 MPa), but must be checked against design codes.