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🎨 Kerf Spacing 計算機

專業免費的 Kerf Spacing 計算機。純前端本機毫秒級計算、零資料上傳、極致隱私保護。提供詳細公式推導、實例示範與常見問答。

即時推算結果 (Computed Output)
1 distance between cuts
專業公認計算模型,即時運算完畢
📜 計算歷史記錄 (試算軌跡)
尚無歷史記錄,每次點擊「計算」將在此留下試算軌跡...

What Is Kerf Bending?

Kerf bending lets a flat, rigid board curve around a form by cutting a series of closely spaced grooves, called kerfs, across its width. Each groove removes most of the thickness and leaves a thin hinge of material on the back face. When the board is flexed, every kerf closes up and the board bends smoothly to the target radius without steaming or laminating.

How to Use the Calculator

Enter the bend radius R, the total bend angle θ in degrees, the board thickness t, and the width of your saw blade cut w. The tool returns the spacing between cuts, the number of cuts required, and the arc length of the bend. Use the same length unit (inches or millimetres) for every field.

The Formula Explained

When a kerf closes, the board pivots about the hinge on its back face. The angle each cut can close is θ_k = w/t radians, so the spacing measured along the back face is:

s = R × ((w) ÷ (t))

The number of cuts needed to sweep the full angle is:

N = ((θ t) ÷ (w))

where θ is expressed in radians. Rounding N up guarantees the board reaches or slightly exceeds the target angle.

Worked Example

For a 6 inch radius, a 90^\circ bend, t = 0.75 in, and a w = 0.125 in blade:

s = 6 × ((0.125) ÷ (0.75)) = 1 in

and the number of cuts:

N = ((1.5708 × 0.75) ÷ (0.125)) ≈ 9.42 \rightarrow 10

So cut ten kerfs spaced one inch apart.

使用注意事項與精準校對原則(6 大核心守則)

📐 1. 嚴格對齊輸入量綱與單位

輸入各項數值時請務必確認量綱(例如小時、天數、金額、百分比),避免單位不匹配引發推算偏差。

🔒 2. 純前端本機毫秒級隱私保障

所有計算邏輯 100% 在您的終端瀏覽器內完成,資料絕不上傳伺服器,嚴格守護商業與個人隱私。

📊 3. 符合公認學術與產業計算模型

演算法嚴格遵循國際通用數學公式與標準計算模型,經多重情境交叉核對,數值嚴密精確。

📋 4. 一鍵複製與免登入 PDF 匯出

支援一鍵複製推算結果字串至剪貼簿,亦可直接點擊列印按鈕輸出純淨 PDF 工作報表。

🔄 5. 多情景敏感度動態對比

建議針對極端值與多組預期情景分別試算,觀察輸出數據的波動區間,輔助做出更穩健的決策。

🛡️ 6. 專業諮詢與日常參考免責聲明

本工具運算結果供日常排程、學業研習與事前參考之用,如涉及重大法規或投資決策請諮詢持證專家。

常見問題 (FAQ)

Do I cut on the inside or outside of the curve?
Cut on the concave (inside) face so the grooves close as you bend.
How deep should each kerf be?
Leave a thin, consistent skin on the back face, typically about 1/8 in, so the hinge stays strong but flexible.
Why round the number of cuts up?
A fractional cut cannot be made, and extra spacing would leave the board short of the target radius.