Stress Due To Seismic Bending Moment Calculator

Stress Due To Seismic Bending Moment Formula:

\[ f_{bendingmoment} = \frac{4 \times M_s}{\pi \times (D_{sk}^2) \times t_{sk}} \]

Stress Due To Seismic Bending Moment (f_{bendingmoment}):

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1. What is Stress Due To Seismic Bending Moment?

Stress Due To Seismic Bending Moment is a measure of the internal force that resists deformation or failure of a material when an external force is applied to it during seismic events. This calculation is crucial for designing structures that can withstand earthquake forces.

2. How Does the Calculator Work?

The calculator uses the Stress Due To Seismic Bending Moment formula:

\[ f_{bendingmoment} = \frac{4 \times M_s}{\pi \times (D_{sk}^2) \times t_{sk}} \]

Where:

\( f_{bendingmoment} \) — Stress due to Seismic Bending Moment (N/mm²)
\( M_s \) — Maximum Seismic Moment (N·m)
\( D_{sk} \) — Mean Diameter of Skirt (mm)
\( t_{sk} \) — Thickness of Skirt (mm)
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: The formula calculates the bending stress in a cylindrical skirt due to seismic moments, considering the geometric properties of the skirt section.

3. Importance of Stress Calculation

Details: Accurate stress calculation is essential for ensuring structural integrity during seismic events. It helps engineers design vessels and structures that can withstand earthquake-induced bending moments without failure.

4. Using the Calculator

Tips: Enter Maximum Seismic Moment in N·m, Mean Diameter of Skirt in mm, and Thickness of Skirt in mm. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is Maximum Seismic Moment?
A: Maximum Seismic Moment is the reaction induced in a vessel when an external force or moment is applied to the element causing the element to bend during seismic activity.

Q2: How is Mean Diameter of Skirt determined?
A: Mean Diameter of Skirt in a vessel depends on the size and design of the vessel. It is typically the average of the inner and outer diameters.

Q3: What factors affect Thickness of Skirt?
A: Thickness of Skirt is typically determined by calculating the maximum stress that the skirt is likely to experience and must be sufficient to resist the weight of the vessel and seismic forces.

Q4: When is this calculation most critical?
A: This calculation is most critical in earthquake-prone areas and for tall vessels or structures where seismic forces can create significant bending moments.

Q5: What safety factors should be considered?
A: Appropriate safety factors should be applied based on material properties, design codes, and the specific application requirements.