1. What is Cantilever Beam Load?

The cantilever beam load calculation determines the maximum load a cantilever beam can support before failing. A cantilever beam is fixed at one end and free at the other, commonly used in bridges, buildings, and various engineering structures.

2. How Does the Calculator Work?

The calculator uses the cantilever beam formula:

Where:

• \( Fb \) — Allowable bending stress (psi)
• \( I \) — Moment of inertia (inches⁴)
• \( c \) — Distance from neutral axis to outermost fiber (inches)
• \( L \) — Length of the beam (feet)

Explanation: The equation calculates the maximum point load that can be applied at the free end of the cantilever beam without exceeding the material's bending stress capacity.

3. Importance of Load Calculation

Details: Accurate load calculation is crucial for structural safety, preventing beam failure, and ensuring proper design of cantilever structures in construction and mechanical applications.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure Fb, I, and c are positive values, and L is greater than zero for valid calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is moment of inertia (I)?
A: It's a geometric property that quantifies a beam's resistance to bending, depending on its cross-sectional shape and dimensions.

Q2: How does beam length affect maximum load?
A: Maximum load capacity decreases as beam length increases, as shown by the inverse relationship in the formula.

Q3: What are typical Fb values for common materials?
A: Steel: 20,000-36,000 psi, Wood: 900-2,500 psi, Aluminum: 10,000-35,000 psi depending on grade and treatment.

Q4: Does this account for distributed loads?
A: No, this calculates maximum point load at the free end. Distributed loads require different calculations.

Q5: What safety factor should be applied?
A: Engineering standards typically recommend safety factors of 1.5-3.0 depending on application and material.