Maximum Shear Force Formula:
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Maximum shear force (V_max) is the highest internal shear force that occurs in a simply supported beam under uniform loading. For a simply supported beam with uniform load, the maximum shear occurs at the supports.
The calculator uses the maximum shear force formula:
Where:
Explanation: The formula calculates the maximum shear force at the supports of a simply supported beam carrying a uniform load along its entire length.
Details: Calculating maximum shear force is essential for structural design to ensure beams can withstand the applied loads without shear failure. It helps determine required beam dimensions and reinforcement.
Tips: Enter the uniformly distributed load in N/m and beam length in meters. Both values must be positive numbers greater than zero.
Q1: What is a simply supported beam?
A: A beam supported at both ends, free to rotate and deflect vertically, but restrained from horizontal movement.
Q2: Where does maximum shear occur in a simply supported beam?
A: For uniform loading, maximum shear occurs at the supports (both ends of the beam).
Q3: What units should I use for input?
A: Use consistent units - N/m for distributed load and meters for beam length to get shear force in Newtons.
Q4: Does this formula work for point loads?
A: No, this specific formula is only for uniformly distributed loads. Point loads have different shear force calculations.
Q5: What is the significance of shear force in beam design?
A: Shear force determines the shear stress in the beam, which is critical for designing against shear failure and determining required shear reinforcement.