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Continuous Beam Deflection Formula:
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The continuous beam deflection formula calculates the maximum deflection for a beam spanning over two equal spans with a uniform load. This formula is essential for structural engineering to ensure beams meet deflection requirements under load.
The calculator uses the continuous beam deflection formula:
Where:
Explanation: The formula calculates the maximum vertical displacement of a continuous beam with two equal spans under uniform loading conditions.
Details: Calculating maximum deflection is crucial for structural design to ensure that beams and structures remain within acceptable deflection limits, preventing structural failure and ensuring serviceability.
Tips: Enter uniform load in N/m, span length in meters, modulus of elasticity in Pascals, and moment of inertia in meters to the fourth power. All values must be positive numbers.
Q1: What types of beams does this formula apply to?
A: This formula applies specifically to continuous beams with two equal spans under uniform loading conditions.
Q2: What are typical deflection limits for beams?
A: Deflection limits vary by application, but common limits are L/360 for live loads and L/240 for total loads, where L is the span length.
Q3: How does material affect deflection?
A: Materials with higher modulus of elasticity (E) will deflect less under the same loading conditions.
Q4: What if my beam has different span lengths?
A: This formula is specifically for two equal spans. Different span configurations require different deflection formulas.
Q5: How accurate is this formula for real-world applications?
A: This formula provides a theoretical maximum deflection. Real-world applications may require additional factors such as safety factors and consideration of boundary conditions.