栅栏坡度计算器
调整围栏长度以适应分级地形:从水平围栏长度调整坡度长度,加上斜切与阶梯式的快速核对。
围栏计算器
输入你的参数,结果会实时更新并显示计算公式。
概述
沿着坡度的栅栏比其端点之间的水平距离稍长,就像坡道比它穿过的平坦足迹长一样。该计算器将水平长度和坡度百分比转换为材料实际必须跨越的坡度调整长度。
然后,它将设计选择留给您:倾斜面板以连续地遵循平缓、均匀的坡度,或者在立柱上阶梯式每个面板水平以获得更陡峭、不均匀的坡度或乙烯基,不能以一定角度倾斜。
假设前提
- Slope percentage equals vertical rise over horizontal run times 100.
- Slope-adjusted length equals the horizontal run divided by the cosine of the arctangent of the slope percentage.
- The result is the built run; post spacing along the horizontal remains the planned spacing.
常见错误
- 为分级围栏中的水平距离订购材料,但由于坡度调整量而导致不足。
- 倾斜乙烯基或其他刚性面板系统,这些系统是阶梯式的,而不是在坡度上成角度的。
- 更新长度,但不更新立柱计数,无论等级如何,当立柱仍沿围栏保持水平间距时。
围栏计算公式
和计算器相同的数学,用大白话写出来。没有黑箱。
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跨数
sections = max(ceil(effective run / post spacing), 1)
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立柱数
posts = (sections + 1) along the run, minus named corner and end posts already placed, plus 2 gate posts per gate
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有效长度
effective run = total length - sum of gate widths
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横梁数
total rails = sections x rails per section
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板条数
pickets = ceil(run in inches / (picket width + gap)); total = ceil(raw x (1 + waste %))
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交错叠放式间距
pitch = picket width - 1 inch overlap
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围栏板数
full panels = floor(run / panel width); add 1 cut panel if the remainder is over 0.01 ft; total = ceil(raw x (1 + waste %))
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混凝土体积
per-hole = pi x (diameter / 2)^2 x depth; total = per-hole x posts; bags = ceil(total / bag yield)
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坡度调整后长度
slope run = effective run / cos(atan(slope % / 100)); shown alongside, counts use the flat run
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成本
materials = (posts x post price + rails x rail price + infill x unit price + 60 lb bags x bag price) x regional multiplier; labor = effective run x labor per ft x terrain multiplier x regional multiplier; installed total = materials + gate hardware + removal + permit + labor
计算器显示的每个数字都由这些公式作用于你的输入得出。
下一步
相关计算器
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深度指南
购买指南
A fence slope calculator answers a question that only comes up once a yard stops being flat: how much longer is the fence itself than the flat-map distance between its two endpoints. The relationship is the same as a ramp being longer than the flat footprint it spans, and it is handled the same way, with trigonometry rather than a flat percentage markup, which is why the adjustment is not simply the slope percentage added straight onto the horizontal length. The calculator converts a slope percentage, rise over run times 100, into an angle, then divides the horizontal run by the cosine of that angle to get the slope-adjusted, built length. A 100 foot horizontal run on a 25 percent grade comes out to about 103 feet of actual fence, a gap that is easy to miss when a tape measure only reads the horizontal distance on a sloped lot and a material order gets placed against that shorter number, leaving a crew short of board or rail partway through the run.
The size of the adjustment depends heavily on how steep the grade is, and it is smaller than intuition suggests until the grade gets genuinely steep. At a gentle 5 percent grade the built length runs only about 0.1 percent over the horizontal distance, essentially nothing on a typical residential run. By 25 percent the adjustment grows to roughly 3 percent, around 3 extra feet of material per 100 feet of horizontal run, which starts to matter on a longer property line or a bulk material order, and the adjustment keeps climbing nonlinearly as the grade gets steeper still, so a very steep slope needs checking individually rather than assumed from a lower-grade example. The practical implication is that slope correction is mostly a concern on genuinely sloped rural or hillside lots, not on yards with the kind of gentle grade most lots have for drainage, and it compounds with length: a long run on a steep grade needs noticeably more board and rail than the flat-map number would suggest, while a short run on a steep grade barely needs any adjustment at all, which is why entering the actual horizontal length and grade for each segment, rather than applying one rough adjustment to the whole property, gives a more reliable material count.
Once a run has real grade, there is a second decision beyond length: whether to rake the fence, angling panels and rails to follow the grade continuously, or step it, keeping each panel level and dropping it down at the next post to follow the slope in stair-steps instead. Raking suits a gentle, even grade and a material that tolerates an angled rail, which describes most wood privacy and picket fencing, and the wood fence calculator and the fence picket calculator both assume a run length that can come directly from this slope adjustment. Stepping is the right call on a steeper or uneven grade, and it is mandatory rather than optional for a fixed-panel system like vinyl or many chain link installations, where panels are manufactured to sit level and cannot be racked at an angle without stressing the rail connections; the chain link fence calculator plans around that same stepped assumption on graded runs.
Slope changes the length of material spanning the ground, but it does not change where posts sit: posts are still set at the planned horizontal spacing measured along the run, not along the sloped surface, so a post-spacing plan does not need re-working just because the yard tilts. What does change on a stepped run is load distribution at the post holding the low end of each step, since that post carries the panel weight transferring down at the step point, which is one more reason post depth and backfill matter more on a sloped installation than a flat one, covered fully in the fence post depth and setting guide. The wood fence installation guide covers the rake-versus-step decision in the context of a full wood build, and the dedicated guide on how to calculate fence materials for a sloped yard walks through combining the slope adjustment with rail and picket counts end to end, alongside how many rails does a fence need for the height-driven side of that same material count. For the flat-ground version of this same run-length problem, see the linear feet calculator, and for rectangular-lot perimeter math that this slope adjustment can feed into, see the fence perimeter calculator, both listed with the rest of the measurement tools on the measurement calculators hub. It is also worth remeasuring slope at more than one point along a long run rather than trusting a single rise-and-run reading taken at one spot, since real yards often ease or steepen partway down a property line, and a single sample point can make an uneven grade look more uniform than it actually is once the fence is standing on it.
常见问题
坡度调整围栏长度的公式是什么?
将斜率百分比转换为反正切角度(斜率百分比除以 100),然后将水平线除以该角度的余弦。在 25% 的坡度上的 100 英尺围栏长度,建成的围栏长约 103 英尺。
斜坡上的栅栏有多长?
轻轻地,比你预期的要少,比你担心的要少:在 5% 的坡度下,建成长度仅超出水平长度约 0.1%,而在 25% 的坡度下,它会增长到大约 3%,即每 100 英尺约多出 3 英尺。陡峭和长是它开始变得重要的时候。
我应该在斜坡上斜切或阶梯式栅栏吗?
当坡度平缓且均匀且材料允许一定角度时斜切它,大多数木材隐私都会这样做。当坡度陡峭或不平坦时,或者当产品是固定面板(如乙烯基)时,只能水平放置,使每个面板掉落在其立柱上,请阶梯式安装。
需要阶梯式安装的坡度百分比是多少?
没有通用的截止值,但该领域使用的实际范围是,一旦围栏长度超过大约 10% 到 15% 的坡度,大多数面板系统就会开始显得被迫,并且斜切比材料更重要:具体检查乙烯基和面板规格,因为它们是按设计阶梯式安装的。
斜率会改变立柱数量吗?
本身没有。立柱仍然按照沿围栏测量的水平间距设置,因此坡度谜题是跨越坡度的面板和木板,而不是立柱间距本身。
坡度调整长度是否会改变栅条或木板?
是的:木板和栅条覆盖了沿坡度的构建长度,因此调整后的围栏长度可以满足木板数学运算的需要。这就是为什么木材、栅条和横梁计算器都需要您可以从此结果中插入的围栏长度。
测量坡度百分比的最快方法是什么?
测量两个端点之间的上升(垂直变化)和水平运行,然后计算围栏长度 100 的上升。40 英尺围栏长度的 2 英尺上升是 5% 的坡度,与该计算器作为输入的数字相同。
角柱和门柱在斜坡上是否会变化?
相同的立柱,相同的规则。大门仍然需要两个立柱和一个水平的门槛,角落仍然在两个方向上承受张力,并且台阶在每个台阶的低端(面板重量落在其上)复合了角柱负载。