フェンス斜面計算ツール
起伏のある庭に合わせて延長を補正します。水平の延長から斜面補正後の長さを求め、傾ける方式と段状のどちらが妥当かも確認します。
Fence Calculator
仕様を入力してください。結果はリアルタイムに更新され、式も表示されます。
概要
地面の勾配に沿うフェンスは、両端の水平距離よりわずかに長くなります。まさに、斜面が平らな部分の横幅より長いのと同じ理屈です。この計算ツールは、水平の延長と勾配のパーセントを、資材が実際に渡らなければならない距離に換算します。
そして設計の選択はあなたに委ねます。緩やかで均一な勾配なら、連続して地面に沿うようにパネルを傾けるか、急で不均一な勾配、または傾けられない塩ビなら、支柱ごとに各パネルを水平に置いて段状にしていくかです。
前提条件
- 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.
よくある間違い
- 起伏のある延長で水平距離の分だけ材料を発注すること。斜面補正の分だけ足りなくなります。
- 傾けることを前提にしていない塩ビやその他の剛性パネルを傾けること。
- 長さは更新しても支柱数を変えないこと。支柱間隔は勾配にかかわらず水平方向のままです。
フェンス計算の式
計算機が走らせる同じ数式を、平たく。ブラックボックスはありません。
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スパン数
sections = max(ceil(effective run / post spacing), 1)
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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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有効延長
effective run = total length - sum of gate widths
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横木数
total rails = sections x rails per section
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ピケット数
pickets = ceil(run in inches / (picket width + gap)); total = ceil(raw x (1 + waste %))
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Board-on-Boardのピッチ
pitch = picket width - 1 inch overlap
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パネル数
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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コンクリート量
per-hole = pi x (diameter / 2)^2 x depth; total = per-hole x posts; bags = ceil(total / bag yield)
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勾配調整長
slope run = effective run / cos(atan(slope % / 100)); shown alongside, counts use the flat run
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費用
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
計算機が示す数字はすべて、これらの式にあなたの入力を当てた結果です。
次のステップ
関連する計算ツール
関連する読み物
詳細なガイド
購入ガイド
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.
よくある質問
斜面補正したフェンス長の計算式は何ですか。
勾配のパーセントを、勾配パーセントを100で割った値の逆正接から角度へ変換します。次に水平の延長をその角度のコサインで割ります。100フィートの延長が25パーセントの勾配なら、建てた長さは約103フィートになります。
斜面上のフェンスはどれくらい長くなりますか。
緩やかなら、思うより長く、恐れているほどでもありません。5パーセントの勾配では建てた長さは水平より0.1パーセント増えるだけです。25パーセントではおよそ3パーセント、つまり100フィートあたり約3フィート増えます。急で長いときに影響し始めます。
斜面では傾ける方式と段状のどちらにすべきですか。
勾配が緩やかで均一で、素材が角度を許す場合は傾けてください。ほとんどの木製プライバシーフェンスがそうします。勾配が急か不均一、あるいは製品が塩ビのように水平でしかない固定パネルなら、支柱ごとにパネルを落として段状にしてください。
どの勾配パーセントで段状にすればよいですか。
普遍的な境目はありませんが、現場で使われる実務的な幅があります。延線がおよそ10から15パーセントを超えると、パネルシステムには無理のある印象が出はじめます。素材のほうが重要です。塩ビとパネルの仕様は特にも確認してください。もともと段状を前提に作られているからです。
勾配で支柱数は変わりますか。
それ自体は変わりません。支柱は斜面に沿って測った水平の間隔で据え付けるので、勾配が関係するのは間隔ではなく、地形をまたぐパネルと板です。
斜面補正した長さは縦板や板の数量を変えますか。
変えます。板と縦板は地形に沿った建てた長さを覆うので、補正後の延長が板の計算に入ります。だから木製、縦板、横桟の計算ツールはいずれも、ここから差し込める延長を引数に取っています。
勾配パーセントを測る最も簡単な方法は何ですか。
両端の間の高さの変化と水平の延長を測り、高さの変化を延さで割って100をかけます。40フィートの延長で2フィートの高さなら5パーセントの勾配で、この計算ツールが入力として取るのと同じ数字です。
斜面の場合も角や門の支柱は変わりますか。
支柱は同じで、ルールも同じです。門は2本の支柱と水平の敷居を要し、角は両方向から張力を受けます。段状にしていくと、段の低い側では板の重みが角の支柱に集中してかかるため、角の支柱の荷重が増えます。