Reaction of Concentrated Load given Allowable Compressive Stress Calculator

Concentrated Load Formula:

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

Compressive Stress (f_a):

Web Thickness (t_w):

Bearing/Plate Length (N):

Distance to Web Fillet (k):

Tolerance:

Concentrated Load of Reaction (R): N

1. What is Reaction of Concentrated Load?

Definition: This calculator determines the concentrated load reaction based on allowable compressive stress, web thickness, bearing length, and distance to web fillet.

Purpose: It helps structural engineers and designers calculate the reaction force at a concentrated load point in beams and structural members.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( R \) — Concentrated load reaction (N)
\( f_a \) — Allowable compressive stress (Pa)
\( t_w \) — Web thickness (m)
\( N \) — Bearing or plate length (m)
\( k \) — Distance from flange to web fillet (m)

Explanation: The formula accounts for stress distribution through the web thickness and the effective bearing area.

3. Importance of Load Reaction Calculation

Details: Proper calculation ensures structural integrity, prevents web buckling, and verifies that stresses remain within allowable limits.

4. Using the Calculator

Tips: Enter all required dimensions and stress values. The tolerance field (default ±5%) can be adjusted for safety factors.

5. Frequently Asked Questions (FAQ)

Q1: What is typical web thickness in I-beams?
A: Web thickness varies by beam size but typically ranges from 6mm to 50mm for standard steel I-beams.

Q2: How is allowable compressive stress determined?
A: It's based on material properties and design codes (e.g., 0.66F_y for steel in AISC specifications).

Q3: Why include the distance to web fillet?
A: This accounts for the effective load distribution area in the web.

Q4: When would I adjust the tolerance?
A: Increase tolerance for conservative designs or when material properties have variability.

Q5: Can this be used for other sections besides I-beams?
A: The formula is specifically for I-sections, but similar principles apply to other web-bearing sections.