Stress for Concentrated Load Applied at Distance Larger than Depth of Beam Calculator

Compressive Stress Formula:

\[ f_a = \frac{R}{t_w \times (N + 5 \times k)} \]

Concentrated Load of Reaction (R):

Web Thickness (t_w):

Bearing or Plate Length (N):

Distance from Flange to Web Fillet (k):

Tolerance:

Compressive Stress (f_a):

1. What is Compressive Stress for Concentrated Load?

Definition: This calculator determines the compressive stress in a beam when a concentrated load is applied at a distance larger than the beam's depth.

Purpose: It helps structural engineers evaluate beam strength and stability under concentrated loads.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_a = \frac{R}{t_w \times (N + 5 \times k)} \]

Where:

\( f_a \) — Compressive stress (Pascals)
\( R \) — Concentrated load of reaction (Newtons)
\( t_w \) — Web thickness (meters)
\( N \) — Bearing or plate length (meters)
\( k \) — Distance from flange to web fillet (meters)

3. Importance of Compressive Stress Calculation

Details: Proper stress calculation ensures structural integrity and prevents beam failure under concentrated loads.

4. Using the Calculator

Tips: Enter all required dimensions and load value. The tolerance field (default ±5%) allows for manufacturing variations.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical tolerance value?
A: ±5% is common for most structural applications, but consult your project specifications.

Q2: How is the distance k measured?
A: It's the distance from the outer face of the flange to the web toe of the fillet.

Q3: What units should I use?
A: Use consistent SI units (meters for length, Newtons for force).

Q4: When is this formula applicable?
A: When the load is applied at a distance greater than the beam depth from the end.

Q5: How does web thickness affect the stress?
A: Thicker webs distribute the load better, resulting in lower compressive stress.