Reaction of Concentrated Load applied at least Half of Depth of Beam Calculator

Reaction Load Formula:

\[ R = 67.5 \times tw^2 \times (1 + 3 \times \frac{N}{D} \times (\frac{tw}{tf})^{1.5}) \times \sqrt{\frac{Fy}{tw/tf}} \]

Web Thickness (tw):

Bearing or Plate Length (N):

Depth of Section (D):

Flange Thickness (tf):

Yield Stress of Steel (Fy):

Concentrated Load of Reaction (R): N

1. What is Reaction of Concentrated Load Calculator?

Definition: This calculator determines the reaction force when a concentrated load is applied to at least half the depth of a beam.

Purpose: It helps structural engineers and designers calculate the reaction forces in beams under concentrated loads.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R = 67.5 \times tw^2 \times (1 + 3 \times \frac{N}{D} \times (\frac{tw}{tf})^{1.5}) \times \sqrt{\frac{Fy}{tw/tf}} \]

Where:

\( R \) — Concentrated Load of Reaction (N)
\( tw \) — Web Thickness (m)
\( N \) — Bearing or Plate Length (m)
\( D \) — Depth of Section (m)
\( tf \) — Flange Thickness (m)
\( Fy \) — Yield Stress of Steel (Pa)

3. Importance of Reaction Load Calculation

Details: Accurate reaction load calculation ensures proper beam design, prevents structural failure, and maintains safety standards.

4. Using the Calculator

Tips: Enter all dimensions in meters and yield stress in Pascals. The ±5% indicates typical manufacturing tolerances.

5. Frequently Asked Questions (FAQ)

Q1: When is this formula applicable?
A: When the concentrated load is applied at least half the depth of the beam from the end.

Q2: What units should I use?
A: Use meters for all lengths and Pascals for yield stress. Results are in Newtons.

Q3: What does the ±5% tolerance mean?
A: It accounts for typical variations in material thickness and properties during manufacturing.

Q4: Can this be used for other materials besides steel?
A: No, the formula is specifically for steel beams as it uses the yield stress of steel.

Q5: How accurate is this calculation?
A: It provides a good engineering estimate but should be verified with more detailed analysis for critical applications.