Shear Force Formula:
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Definition: This calculator determines the shear force at a specific point in a beam subjected to a uniformly distributed load (UDL).
Purpose: It helps structural engineers and designers analyze beam behavior under UDL loading conditions.
The calculator uses the formula:
Where:
Explanation: The formula calculates the shear force at distance x from the support for a simply supported beam with UDL.
Details: Shear force analysis is crucial for determining beam strength, designing appropriate cross-sections, and ensuring structural safety.
Tips: Enter the UDL in N/m, beam length in meters, and distance from support in meters. Distance must be ≤ beam length.
Q1: What is a uniformly distributed load?
A: A load that is evenly distributed along the length of the beam (e.g., weight of flooring or snow load).
Q2: What's the maximum shear force in a UDL beam?
A: The maximum shear force occurs at the supports (x=0 or x=L) and equals wL/2.
Q3: Does this work for cantilever beams?
A: No, this formula is for simply supported beams. Cantilever beams have different shear force distribution.
Q4: What units should I use?
A: Consistent units are required - typically Newtons and meters, but any consistent unit system will work.
Q5: How does shear force vary along the beam?
A: For UDL, shear force decreases linearly from the supports to zero at midspan (for symmetric loading).