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UniKit

Slope converter

Convert slope between percent, degrees, 1:n and permille, derive the rise and slope length from a horizontal run, and show common engineering limits.

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Slope value

Result

Percent, degrees, 1:n and permille, plus rise and slope length when a run is given.

Enter a slope to convert

Percent: 0

What this tool does

  • Check ramp compliance: an 8.33% slope is the accessible-ramp limit, usually written as 1:12.
  • Set out a site from the horizontal run: a 2% slope over 20 m gives a 0.4 m rise and a 20.003999 m slope length.
  • Convert an angle-only drawing into a percentage: 5° is about 8.75%.

Example

Input

5.710593

Output

5.710593 角度 → 百分比 10%、角度 5.710593°、1:10、千分比 100‰
百分比 (%) = 10%
角度 (°) = 5.710593°
坡度比例 = 1:10
千分比 (‰) = 100‰
水平距离 100 m 时的高差 = 10 m
水平距离 100 m 时的斜长 = 100.498756 m
水平距离 100 m、高差 10 m 时,斜长(实际铺设长度)= √(100² + 10²) = 100.498756 m
常见场景限值(经验值,实际以当地规范为准):
无障碍坡道(轮椅):不宜超过 8.333333%(约 4.763642°、1:12)
停车库直线坡道(一般地区):不宜超过 15%(约 8.530766°、1:6.666667)
停车库直线坡道(雨雪地区):不宜超过 12%(约 6.842773°、1:8.333333)
小区主干道:不宜超过 8%(约 4.573921°、1:12.5)
公路纵坡(设计上限):不宜超过 9%(约 5.142765°、1:11.111111)
排水沟纵向坡度(常规):不宜超过 0.5%(约 0.286477°、1:200)
屋面排水坡度(瓦屋面下限):不宜超过 33.333333%(约 18.434949°、1:3)

A 10% slope is 5.710593°, 1:10 or 100‰; over a 100 m run the rise is 10 m and the slope length 100.498756 m.

Frequently asked questions

How is the slope percentage defined?

Slope percent = rise ÷ horizontal run × 100%. The denominator is the horizontal distance, not the slope length: 10 m of rise over 100 m gives 10% and an angle of arctan(0.1) = 5.710593°.

How does 1:n map to percent?

n = 100 ÷ percent. 10% is 1:10, 5% is 1:20 and 2% is 1:50. A zero slope has no ratio and is labelled “level”.

Can the angle reach 90°?

No. The slope angle is an arctangent, so it lives between 0° and 90°; 90° would be infinite slope and is rejected.

Can the limits be used for compliance?

They are references. The 1:12 accessible ramp, 15% garage ramp and 9% highway grade come from common practice; always check your local code and its ramp-length requirements.

Keywords:坡度换算百分比转角度坡度 1:n千分比高差斜长无障碍坡道公路纵坡

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