Bench Slope Calculator

To find the slope percentage, divide the vertical height (VH) by the horizontal distance (HD), and multiply the result by 100.

Bench Slope Calculator

Enter any 2 values to calculate the missing variable

Horizontal Distance

Feet (ft) Meters (m) Yards (yd) Inches (in)

Vertical Height

Feet (ft) Meters (m) Yards (yd) Inches (in)

Slope (%)

Calculate Reset

 

The Bench Slope Calculator is a very useful tool. This tool is used in mining and civil engineering projects. It helps find out the slope angle or percentage of a bench.

Whereas, in mining, the term bench refers to a step or level created during excavation, which needs a precise slope to ensure safety and stability. Accurate bench slope calculations can help prevent collapses and aid in planning.

Formula :

$$\text{Slope (\%)}=\left(\frac{\text{Vertical Height (VH)}}{\text{Horizontal Distance (HD)}}\right)\times 100$$

Variable	Description
Slope (%)	Bench slope percentage
VH	Vertical height of the bench
HD	Horizontal distance of the bench

Solved Calculation:

Example 1:

Given: Vertical height (VH) = 15 m, Horizontal distance (HD) = 100 m

Step	Calculation
Calculate slope	$\text{Slope} = \frac{15}{100} \times 100$
Result	Slope = 15%

Answer: The slope is 15%.

Example 2:

Given: Vertical height (VH) = 8 m, Horizontal distance (HD) = 50 m

Step	Calculation
Calculate slope	$\text{Slope} = \frac{8}{50} \times 100$
Result	Slope = 16%

Answer: The slope is 16%.

What is Bench Slope Calculator?

A Bench Slope Calculator is a fine tool that is used to measure the slope or inclination of benches, commonly in mining, civil engineering, and construction projects. In mining, benches are horizontal intervals in an open-pit mine or quarry that allow for safe extraction of materials.

Key Concepts:

1. Bench Slope Angle: The angle between the horizontal bench and the inclined surface of the bench face.
2. Inter-Ramp Angle: The angle between the horizontal and the line connecting the crests of two consecutive benches.
3. Overall Pit Slope Angle: The average angle of the entire pit, including all benches.

Applications:

• Mining: To calculate the bench slope angle and ensure stable excavation.
• Road construction: To ensure safe and navigable slopes.
• Drainage design: To provide proper water runoff.

Other related calculators:

• Overall pit slope angle formula: To calculate the average slope for a mining pit.
• Inter-ramp angle calculator: To determine the slope angle between multiple benches for safe mining.
• Rock value and grade calculators: Useful in assessing the economic feasibility of mining a particular area.

Final Words:

In total, for more precise calculations, you can use specialized bench slope calculator PDFs or online tools that provide additional features, such as calculating inter-ramp angles based on bench heights and safety considerations.