1. What is Reaction at B for Point Load at A?

The reaction at point B calculation determines the vertical support reaction at one end of a simply supported beam when a point load is applied at a specific distance from the other support. This is essential for structural analysis and beam design.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( R_B \) — Reaction at support B (N)
• \( P \) — Point load applied (N)
• \( a \) — Distance from support A to the point load (m)
• \( L \) — Total length of the beam (m)

Explanation: This formula calculates the vertical reaction force at support B when a concentrated load is applied at distance 'a' from support A on a simply supported beam of length L.

3. Importance of Reaction Calculation

Details: Accurate reaction force calculation is crucial for structural design, ensuring beams and supports are properly sized to handle applied loads without failure.

4. Using the Calculator

Tips: Enter the point load in Newtons, distance 'a' in meters, and beam length 'L' in meters. All values must be positive, and distance 'a' must not exceed beam length 'L'.

5. Frequently Asked Questions (FAQ)

Q1: What type of beam does this formula apply to?
A: This formula applies to simply supported beams with a point load applied between the supports.

Q2: How do I calculate the reaction at support A?
A: The reaction at support A can be found using the equation: \( R_A = P - R_B \), based on vertical equilibrium.

Q3: What if the load is applied at the center?
A: When a = L/2 (center load), the formula simplifies to \( R_B = P \times (0.5)^2 \times (3 - 2 \times 0.5) = P \times 0.25 \times 2 = 0.5P \).

Q4: Are there limitations to this formula?
A: This formula assumes ideal simply supported conditions, linear elastic material behavior, and small deflections.

Q5: Can this be used for multiple point loads?
A: For multiple point loads, the principle of superposition applies - calculate reactions for each load separately and sum the results.