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Simply Supported Beam Calculator

Maximum Shear Force Formula:

\[ V_{max} = \frac{w \times L}{2} \]

N/m
m

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1. What is Maximum Shear Force?

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.

2. How Does the Calculator Work?

The calculator uses the maximum shear force formula:

\[ V_{max} = \frac{w \times L}{2} \]

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.

3. Importance of Shear Force Calculation

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.

4. Using the Calculator

Tips: Enter the uniformly distributed load in N/m and beam length in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

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.

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