Open pit geometry
Open Pit Bench Design Checker
Calculate the overall slope angle from bench height, berm width, face angle, and bench count.
Bera Saman the niðurstaða with a target angle, see the safe / near / danger staða, and pyfirferð the section in the browser.
Safety notice
- This is a geometry checker, not a substitute for geotechnical stability analysis or rockfall analysis.
- It checks the consistency of bench height, berm width, face angle, and overall slope angle, but it does not judge legal compliance.
- If the target samanburður is near or on the danger side, always have a geotechnical yfirferðer confirm the design.
- Water, blast damage, rock quality, equipment width, and drainage conditions are not part of this verkfæri.
How to use
- 1 Enter bench height, berm width, face angle, and bench count.
- 2 Add a target overall slope angle if you want to bera saman the design against a reference angle.
- 3 Choose metric or imperial, then open Settings if you want to change precision or sharing behavior.
- 4 Yfirferð the overall angle, the target margin, the exact-match values, and the pyfirferðed cross-section.
- 5 Use Copy niðurstaða, Copy share URL, Reset, or the recent list to reuse the same condition later.
Sample
The same geometry in imperial
Algengar spurningar
Is the angle measured from the horizontal?
Yes. Both the bench face angle and the overall slope angle are measured from the horizontal.
What happens when berm width is 0?
The overall angle moves closer to the face angle, but the verkfæri still warns you because that is rarely practical in the svið.
What if the target angle cannot be matched exactly?
The required berm width or required face angle can fall outside a workable range. In that case the exact-match helper shows that the target is not achievable with the current geometry.
Does this include local regulations or safety standards?
No. The verkfæri stays limited to geometry and unit conversion so that it can be used globally without embedding local rules.
Can I work in both metric and imperial units?
Yes. The unit switch converts the bench height and berm width while keeping the geometry and the formulas the same.
Glossary
Bench height
The vertical height of one bench.
Berm width
The horizontal width between benches.
Face angle
The face angle measured from the horizontal.
Overall slope angle
The angle of the whole bench stack when you look at the section from crest to toe.
Face setback
The horizontal run of one bench face.
Formulas
- map[Text:face_run = h / tan(a) text:face_run = h / tan(a)]
- map[Text:total_height = h × n text:total_height = h × n]
- map[Text:total_run = (face_run × n) + (w × max(n - 1, 0)) text:total_run = (face_run × n) + (w × max(n - 1, 0))]
- map[Text:overall_angle = atan(total_height / total_run) text:overall_angle = atan(total_height / total_run)]
- map[Text:margin = target - overall_angle text:margin = target - overall_angle]
- map[Text:required_berm_width = (total_height / tan(target) - n × face_run) / (n - 1) text:required_berm_width = (total_height / tan(target) - n × face_run) / (n - 1)]
- map[Text:required_face_run = (total_height / tan(target) - (n - 1) × w) / n text:required_face_run = (total_height / tan(target) - (n - 1) × w) / n]
- map[Text:required_face_angle = atan(h / required_face_run) text:required_face_angle = atan(h / required_face_run)]
Athugasemdir
- This verkfæri does not cover water, blasting, rock quality, or equipment clearance.
- If the target samanburður is near the threshold, do not rely on rounding alone to make the decision.
- If your site has a regional standard or company standard, follow that first.
- Use this for geometric checks only. A real slope design still needs a geotechnical yfirferð.