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Shear Force Calculation Formula

Shear Force Formula:

\[ V = \int w dx \]

N/m
m

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1. What is Shear Force?

Shear force is the internal force in a beam that acts perpendicular to its longitudinal axis. It represents the algebraic sum of all vertical forces acting on either side of a section of the beam.

2. How Does the Calculator Work?

The calculator uses the shear force formula:

\[ V = \int w dx \]

Where:

Explanation: For a constant distributed load, the shear force at any point is simply the product of the load intensity and the distance from the reference point.

3. Importance of Shear Force Calculation

Details: Shear force calculation is essential in structural engineering for designing beams, determining support reactions, and analyzing structural integrity under various loading conditions.

4. Using the Calculator

Tips: Enter the distributed load in N/m and the distance in meters. Both values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between shear force and bending moment?
A: Shear force is the internal force perpendicular to the beam's axis, while bending moment is the internal moment that causes bending of the beam.

Q2: How does shear force vary along a beam?
A: Shear force varies along the length of the beam depending on the type and magnitude of loads applied.

Q3: What are the units of shear force?
A: Shear force is measured in Newtons (N) in the SI system.

Q4: Can this calculator handle variable distributed loads?
A: This calculator assumes a constant distributed load. For variable loads, more complex integration methods are required.

Q5: Why is shear force important in beam design?
A: Shear force helps determine the maximum stress in the beam and ensures it can withstand applied loads without failure.

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