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Web Thickness for given Stress Due to Load near Beam End Calculator

Web Thickness Formula:

\[ t_w = \frac{R}{f_a \times (N + 2.5 \times k)} \]

N
Pa
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m
%

1. What is Web Thickness for given Stress Due to Load near Beam End?

Definition: This calculator determines the required web thickness of an I-beam to safely support a concentrated load near the beam end, considering compressive stress and geometric factors.

Purpose: It helps structural engineers ensure beam designs can withstand localized stresses without failure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t_w = \frac{R}{f_a \times (N + 2.5 \times k)} \]

Where:

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

Explanation: The formula calculates the minimum web thickness required to distribute the concentrated load over the effective bearing area.

3. Importance of Web Thickness Calculation

Details: Proper web thickness prevents web crippling, local buckling, and ensures structural integrity under concentrated loads.

4. Using the Calculator

Tips:

  • Enter all values in consistent units (meters for length, Newtons for force, Pascals for stress)
  • The tolerance field allows for manufacturing variations (default ±5%)
  • All input values must be positive numbers

5. Frequently Asked Questions (FAQ)

Q1: What is a typical value for compressive stress (fa)?
A: This depends on the material. For structural steel, typical values range from 140-250 MPa.

Q2: Why is the distance to web fillet important?
A: The fillet area affects stress distribution. The formula accounts for this with the 2.5×k term.

Q3: When would I adjust the tolerance?
A: Use tighter tolerances for critical applications or looser tolerances for cost savings in non-critical areas.

Q4: How does bearing length affect the calculation?
A: Longer bearing lengths reduce required web thickness by distributing the load over a larger area.

Q5: What if my beam has no fillet?
A: For beams without fillets, use k=0, which simplifies the formula to tw = R/(fa×N).

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