1. What is Hopper Width?

Hopper width refers to the top opening width of a hopper structure, which is calculated based on the hopper height, angle of inclination, and bottom width. This calculation is essential in various engineering and construction applications.

2. How Does the Calculator Work?

The calculator uses the hopper width formula:

Where:

• \( h \) — Height of the hopper (m)
• \( Angle \) — Angle of inclination (degrees)
• \( Bottom\ Width \) — Width at the bottom of the hopper (m)

Explanation: The formula calculates the top width of a hopper by accounting for the vertical height, the angle of the sides, and the base width.

3. Importance of Hopper Width Calculation

Details: Accurate hopper width calculation is crucial for proper material flow design, structural integrity assessment, and efficient space utilization in various industrial applications.

4. Using the Calculator

Tips: Enter height in meters, angle in degrees, and bottom width in meters. All values must be valid (height > 0, angle between 0-90 degrees, bottom width ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What types of hoppers does this formula apply to?
A: This formula applies to symmetrical hoppers with straight, inclined sides and a rectangular cross-section.

Q2: How accurate is this calculation?
A: The calculation provides theoretical width based on geometric principles. Actual construction may require adjustments for material properties and safety factors.

Q3: Can this be used for circular hoppers?
A: No, this formula is specifically for rectangular hoppers. Circular hoppers require different calculations based on diameter and cone angle.

Q4: What are typical angle values for hoppers?
A: Typical hopper angles range from 45-70 degrees depending on the material being handled and flow properties.

Q5: How does bottom width affect the overall width?
A: The bottom width is added directly to the calculated width from the inclined sides, so larger bottom widths result in proportionally larger overall widths.