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Ultimate Uniform Load Formula:
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The ultimate uniform load formula calculates the maximum distributed load a concrete beam can support before failure. It's derived from the nominal moment capacity and considers safety factors through the strength reduction coefficient.
The calculator uses the formula:
Where:
Explanation: The formula calculates the maximum uniformly distributed load a simply supported beam can carry based on its moment capacity and length.
Details: Accurate load capacity calculation is essential for structural design, ensuring beams can safely support intended loads while maintaining appropriate safety margins.
Tips: Enter the nominal moment capacity in Nm, strength reduction factor (typically 0.9 for bending), and beam length in meters. All values must be positive numbers.
Q1: What is the typical value for the strength reduction factor φ?
A: For bending in reinforced concrete, φ is typically 0.9. For shear and torsion, it's usually 0.75.
Q2: How is nominal moment capacity (M_n) determined?
A: M_n is calculated based on the beam's cross-section properties, reinforcement details, and concrete compressive strength.
Q3: Does this formula account for different support conditions?
A: This specific formula is for simply supported beams with uniform loading. Other support conditions require different formulas.
Q4: What safety factors are considered in this calculation?
A: The strength reduction factor φ provides the safety margin, typically reducing the theoretical capacity by 10-25%.
Q5: Can this calculator be used for other beam materials?
A: While the formula is general, the strength reduction factors and moment capacity calculations are specific to reinforced concrete design.