1. What is Shear Force?

Shear force is a force that acts parallel to a surface, causing layers of the material to slide against each other. In mechanical systems, it's often calculated from torque and radius to understand the internal forces in rotating components.

2. How Does the Calculator Work?

The calculator uses the shear force formula:

Where:

• \( F_{shear} \) — Shear force (N)
• \( T \) — Torque (Nm)
• \( r \) — Radius (m)

Explanation: This formula calculates the shear force generated by a torque applied at a specific distance from the center of rotation.

3. Importance of Shear Force Calculation

Details: Calculating shear force is crucial for designing mechanical components, analyzing structural integrity, and ensuring safety in rotating systems like shafts, bolts, and fasteners.

4. Using the Calculator

Tips: Enter torque in Newton-meters (Nm) and radius in meters (m). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between torque and shear force?
A: Torque is the rotational equivalent of force, and shear force is the internal force that resists this rotational effect. They are directly proportional through the radius.

Q2: What units should I use for this calculation?
A: Use Newton-meters (Nm) for torque and meters (m) for radius to get shear force in Newtons (N).

Q3: Can this formula be used for any material?
A: The formula is universal for calculating shear force from torque, but material properties determine whether the component can withstand that force without failure.

Q4: How does radius affect shear force?
A: For a given torque, shear force decreases as radius increases. This is why larger tools provide more mechanical advantage.

Q5: When is this calculation most important?
A: This calculation is critical in mechanical engineering for designing shafts, gears, bolts, and any rotating components where shear stress must be considered.