1. What is Shear Force and Bending Moment?

Definition: Shear force (V) is the sum of vertical forces to one side of a point. Bending moment (M) is the sum of moments caused by these forces.

Purpose: These calculations are fundamental in structural engineering for beam design and analysis.

2. How Does the Calculator Work?

The calculator uses the formulas:

Where:

• \( V \) — Shear force (N)
• \( F_{left} \) — Forces to the left of the analysis point
• \( M \) — Bending moment (N m)
• \( \tau_{left} \) — Moments from forces to the left

Explanation: The calculator sums all forces to the left of the point for shear force, and their moments about the point for bending moment.

3. Importance of These Calculations

Details: Proper calculation ensures structural integrity by determining maximum stresses in beams and other structural elements.

4. Using the Calculator

Tips: Enter forces in N and their distances from the left end in meters. Specify the analysis point distance from the left.

5. Frequently Asked Questions (FAQ)

Q1: What sign convention is used?
A: Positive shear is upward on left sections, positive moment causes tension on bottom.

Q2: How are distributed loads handled?
A: Convert them to equivalent point loads at their centroids before entering.

Q3: What about right-side forces?
A: The calculator automatically considers only forces to the left of the analysis point.

Q4: Can I use different units?
A: Yes, but be consistent (all forces same unit, all distances same unit).

Q5: How accurate are the results?
A: Results are mathematically exact for the given inputs, but real-world conditions may vary.