Critical Stress for Carbon Steel by Am. Br. Co. code Calculator

Critical Stress Formula:

\[ S_w = 19000 - 100 \times \left(\frac{L}{r_{gyration}}\right) \]

Critical Stress (Pa):

Stress Range (Pa):

1. What is Critical Stress for Carbon Steel by Am. Br. Co. code?

Definition: This calculator determines the critical stress for carbon steel columns according to the American Bridge Company code formula.

Purpose: It helps engineers evaluate the maximum stress a carbon steel column can withstand before buckling.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S_w = 19000 - 100 \times \left(\frac{L}{r_{gyration}}\right) \]

Where:

\( S_w \) — Critical stress (Pa)
\( L \) — Effective length of column (m)
\( r_{gyration} \) — Radius of gyration of column (m)

Explanation: The formula calculates the critical buckling stress based on the column's slenderness ratio (L/r).

3. Importance of Critical Stress Calculation

Details: Proper critical stress estimation ensures structural stability and prevents column buckling under load.

4. Using the Calculator

Tips: Enter the effective length of column, radius of gyration, and tolerance percentage (default ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the effective length of a column?
A: It's the length between points of zero moment (points of inflection) in the buckled shape of the column.

Q2: How do I determine the radius of gyration?
A: It's calculated as \( r = \sqrt{I/A} \), where I is the moment of inertia and A is the cross-sectional area.

Q3: Why include a tolerance percentage?
A: The tolerance accounts for material variations and safety factors in practical applications.

Q4: What units does this calculator use?
A: All inputs are in meters (m) and outputs in Pascals (Pa).

Q5: Is this formula specific to carbon steel?
A: Yes, this particular formula is designed for carbon steel according to the American Bridge Company code.