Tangent of angle A = vertical distance/horizontal distance, which can also be written as tan ∠ α = h/L.
Chinese name: slope ratio mbth: slope ratio explanation: ratio formula of vertical height h to horizontal width l of slope: tangent of angle a = vertical distance/horizontal distance Subject: mathematical slope, slope angle, related applications, slope ratio, the ratio of vertical height (h) to horizontal width (l) of slope is called slope (or slope ratio). 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, such as1:2 >; 1: 3, corresponding to 1: 2, the slope angle is large and the slope is steep. 1: m can be understood as: height = 1, width = m；; That is, slope = tan α = h: l =1:m. The included angle between the slope and the horizontal plane is called the slope angle, which is denoted as α. For example, the slope is simply C=B/A, B=A*C and a = b/c, and freshwater pond culture is also suitable for reservoir dams mathematically. Generally, the slope ratio is discussed first, and then the cross-sectional area and perimeter of the dam are obtained. There is also a lesson about children climbing stairs, telling you the slope, and finally using Pythagorean theorem to find the length of stairs. In the senior high school entrance examination, the slope also occupies a place, which is mainly used for similar triangles and Pythagorean questions. Please pay attention to this aspect. 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. The comparative analysis shows that 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. The results show that the safety factor of slope under the condition of soil and water softening is lower than that under the condition of no water, and the maximum reduction of safety factor can reach 30%. When the ratio of water level to slope height changes in the range of [0.4,0.5], the safety factor is the smallest. Considering the softening of soil and water, the sensitivity of strength parameters C and φ to slope safety factor is basically unchanged.