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

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 :**

$$\text{Slope(\%)}=\left(\frac{\text{VerticalHeight(VH)}}{\text{HorizontalDistance(HD)}}\right)\times 100$$

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:**

**Bench Slope Angle**: The angle between the horizontal bench and the inclined surface of the bench face.**Inter-Ramp Angle**: The angle between the horizontal and the line connecting the crests of two consecutive benches.**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.