Moment of Inertia of Primary Member using Collapse Prevention Level Calculator

Moment of Inertia Formula:

\[ I_p = \frac{32 \times L_p^4 \times L_s}{10^7 \times C_p} \]

Moment of Inertia of Primary Member: m⁴/m

1. What is Moment of Inertia of Primary Member?

Definition: Moment of Inertia of Primary Member can be described as the quantity expressed by the body resisting angular acceleration.

Purpose: It helps structural engineers determine the stiffness and load-bearing capacity of primary structural members.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ I_p = \frac{32 \times L_p^4 \times L_s}{10^7 \times C_p} \]

Where:

\( I_p \) — Moment of Inertia of Primary Member (m⁴/m)
\( L_p \) — Length of Primary Member (m)
\( L_s \) — Length of Secondary Member (m)
\( C_p \) — Collapse Prevention Level (%)

Explanation: The formula calculates the moment of inertia based on the lengths of primary and secondary members and the desired collapse prevention level.

3. Importance of Moment of Inertia Calculation

Details: Proper calculation ensures structural stability, prevents collapse, and meets building code requirements.

4. Using the Calculator

Tips: Enter the lengths in meters and collapse prevention level in percentage. All values must be > 0. Results have ±5% tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical Collapse Prevention Level?
A: Typically ranges from 90-99% depending on building importance and local codes.

Q2: How does primary member length affect the result?
A: The length is raised to the 4th power, so small changes in length create large changes in moment of inertia.

Q3: What units should I use?
A: Use meters for lengths and percentage for collapse prevention level.

Q4: Why is the result in m⁴/m?
A: This represents moment of inertia per unit length of the member.

Q5: How accurate is this calculation?
A: Results have ±5% tolerance. For precise engineering, consult detailed structural analysis.