Simply Supported Beam Load Calculation

Maximum Shear Force Formula:

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

Maximum Shear Force (V_max):

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1. What is Maximum Shear Force?

Maximum shear force is the highest internal force that acts parallel to the cross-section of a structural member. 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:

\( V_{max} \) — Maximum shear force (N)
\( w \) — Uniform load (N/m)
\( L \) — Beam length (m)

Explanation: The formula calculates the maximum shear force at the supports of a simply supported beam carrying a uniformly distributed load.

3. Importance of Shear Force Calculation

Details: Shear force calculation is essential for structural design to ensure beams can withstand applied loads without failure. It helps determine the required beam dimensions and material strength.

4. Using the Calculator

Tips: Enter uniform load in N/m and beam length in meters. All 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, but not free to translate at the supports.

Q2: Where does maximum shear occur in a simply supported beam?
A: For uniform loads, maximum shear occurs at the supports of the beam.

Q3: What units should I use for the calculation?
A: Use consistent units - N for force, m for length, and N/m for distributed load.

Q4: Does this formula work for other load types?
A: No, this specific formula is only for uniformly distributed loads on simply supported beams.

Q5: Why is shear force important in beam design?
A: Shear force helps determine the shear stress in the beam, which is crucial for checking shear capacity and preventing shear failure.