The ratio of vertical height (H) to horizontal width (L) of a slope is called slope (or slope ratio). The included angle between the slope and the horizontal plane is called the slope angle, which is generally recorded as α. Let the inclination angle be α and the slope be k, then k = h: l = tan α; The slope is generally written in the form of 1∶m, where m= 1/k and m is called the slope coefficient. The greater the slope, the greater the slope angle and the steeper the slope. For example, 1: 2 > 1: 3, 1: 2 corresponds to a larger slope angle and a steeper slope. 1: m can be understood as: height = 1, width = m；; That is, the slope = tan α = h: l =1:m.
Mathematically, there is the application of reservoir dam, generally speaking, what is the slope ratio, and then calculate the cross-sectional area and perimeter of the dam. There is also a lesson about children climbing stairs, talking about slope ratio, and finally using Pythagorean theorem to find the length of stairs. In the senior high school entrance examination, the slope is mainly used in similar triangles and Pythagorean questions.
Related contents of slope:
Slope ratio refers to the ratio of vertical distance H to horizontal distance L. Generally, this slope is used for earthwork filling, and 1: 1. 1 to 1.3 is used for stonework. At the same time, in highway engineering, all gradient ratios refer to the ratio of vertical distance H to horizontal distance L? For a slope example, a large number of conversion parameters are compared and calculated, and the influence of slope gradient and soil weight on the sensitivity of strength parameters is investigated.
When the slope gradient is slow, the influence of strength parameter φ on safety factor is generally greater than cohesion C; As the slope becomes steeper, when the slope is steeper than 1: 1, the sensitivity of cohesion C begins to be greater than the internal friction angle φ. The change of strength can change the sensitive positions of strength parameters C and φ. The smaller the strength, the less sensitive the internal friction angle φ is to cohesion C.. In addition, the influence of soil and water softening on slope stability is also studied.