NestingCalc Calculators

com.nestingcalc由 nestingcalc.com 發布官方發布者v1.2.0更新於 Oct 24, 2026

37 cutting and woodworking calculators: cut lists, sheet nesting, timber volume, kiln drying

已驗證Streamable HTTP可網頁執行開發者工具資料與分析

概覽

AI 產生的概覽

提供 37 個木工與切割計算器,涵蓋切割清單、板材排版、木材體積、乾燥與成本估算。

可以做什麼
這個遠端伺服器提供 37 個面向木工、木材與板材加工的計算器。它能最佳化一維棒材與二維 guillotine 板材切割方案,回傳所用棒材或板材數量、每塊位置、損耗與未排入的零件。也涵蓋板英尺、木材與金屬重量、斜接角度、CNC 進給與轉速、磁磚、壁紙與地板用量、原木體積與 JAS 檢尺、含水率、乾縮、乾燥窯容量、梁承載力以及物料清單成本核算。部分工具會回傳預填參數的網頁連結,用於查看示意圖或報價。
適用情境
適合在規劃棒材、管材或板材切割,估算木材或材料用量與成本,或進行乾燥、乾縮與原木檢尺計算時使用。適用於家具製造、鋸木廠、木工與估算人員,希望讓助理直接呼叫這些公式。
執行需求
透過 streamable HTTP 存取的遠端 MCP 端點,無需安裝套件。未宣告驗證、環境變數或請求標頭。
安裝前請注意
多數工具只做計算,但部分工具會回傳指向服務商網站的預填連結,尺寸與價格等輸入可能出現在該連結中。刺繡縮放工具會以 base64 回傳縮放後的設計檔。梁承載力結果被說明為規劃估算,而非工程認證。

安裝

在 SourceWeft 中

  1. 開啟 儀表板中的 NestingCalc Calculators,將其新增到工作區。
  2. 為需要使用其工具的對話啟用該服務。

Web executable,透過 Streamable HTTP。 遠端服務在工作區中設定後即可從網頁執行環境執行。

交給代理程式安裝

把這段提示詞貼上到 Claude Code、Codex、Cursor 等代理程式,或 SourceWeft 對話中。代理程式會讀取該伺服器的安裝指南,先向你展示發布者、端點和登入方式,經你同意後再把它新增到你的客戶端。金鑰不會寫進任何命令。

閱讀 https://sourceweft.com/mcp/com.nestingcalc%2Fcalculators/install.md,並按其中說明把這個 MCP 伺服器接入我的客戶端。修改任何設定之前,先告訴我它的發布者、端點和登入方式,等我確認。不要把 API 金鑰寫進命令或我會提交的檔案;問我金鑰應從哪裡取得。

檢視代理程式所依據的安裝指南

其他 MCP 客戶端

把它新增到你客戶端的 mcpServers 設定中。

{
  "mcpServers": {
    "nestingcalc-calculators": {
      "type": "http",
      "url": "https://mcp.nestingcalc.com/mcp"
    }
  }
}

工具

37

linear_cutting_optimizer

Optimize 1D cutting plans for bars, pipes and profiles (linear cutting stock problem, best-fit decreasing heuristic). Returns bars used, per-bar cut lists with positions, total waste and unplaced parts. A web_url with the plan prefilled is included for a visual SVG diagram.

輸入參數kerftrimunit必填parts必填stock_countstock_length必填

sheet_cutting_optimizer

Optimize 2D guillotine cutting plans for plywood, MDF, glass, sheet metal (2D nesting with kerf, per-part rotation lock for grain direction, optional sheet trim and multiple stock sizes). Returns sheets used, piece positions, utilization, estimated cut length/count and unplaced pieces. Includes a web_url with the plan prefilled for a visual layout diagram.

輸入參數kerfunit必填pieces必填stockstrim_xtrim_ystock_countstock_width必填stock_height必填

board_feet_calculator

Calculate board feet and lumber cost (thickness x width x length / 144 in inches). Accepts multiple boards and an optional price quoted per board foot or per MBF (thousand board feet).

輸入參數unitpriceboards必填price_unit

miter_angle_calculator

Miter angles three ways: corner mode (any corner angle between two pieces), sides mode (regular polygon with N sides), crown mode (miter + bevel for crown molding at a spring angle).

輸入參數mode必填sidescorner_angle_degspring_angle_deg

lumber_weight_calculator

Weight of lumber by species, dimensions, quantity and moisture (dry/fresh), using species density tables. Optional custom density in kg/m3.

輸入參數qtyspecies必填length_m必填moisturewidth_mm必填thickness_mm必填custom_density_kg_m3

rebar_takeoff

Rebar weight takeoff (d2/162 rule): total length, weight in kg and bars per tonne for a list of rebar lines. Supports metric mm bars and US # sizes as diameters.

輸入參數lines必填

metal_weight_calculator

Weight of metal stock per profile: pipe/tube (OD + wall), round bar, square/rectangular tube, flat bar, angle, beam/I-beam. Materials: steel, stainless, aluminum, copper, brass.

輸入參數qtyod_mmweb_mmprofile必填wall_mmlength_m必填material必填width_mmheight_mm

cnc_feeds_speeds

CNC spindle RPM and feed rate from tool diameter, flute count, chip load and cutting speed. Works for routers and mills, metric and imperial.

輸入參數unit必填flutesmachinechip_load必填cutting_speed必填tool_diameter必填

sheet_metal_gauge

Convert sheet metal gauge to thickness (mm) or thickness to gauge, and compute sheet weight for steel, stainless, aluminum or galvanized steel.

輸入參數qtymodegaugematerialwidth_mmlength_mmthickness_mm

tile_calculator

Tiles, boxes and cost for a room: room and tile dimensions, grout width, waste factor by layout pattern (straight, offset, diagonal, herringbone...), optional box size and prices.

輸入參數layoutbox_sizegrout_mmprice_per_m2room_width_m必填price_per_boxroom_length_m必填tile_width_mm必填waste_percenttile_length_mm必填

wallpaper_calculator

Wallpaper rolls needed for a wall, accounting for pattern repeat and openings. Use a standard roll preset (eu, us-single, us-double, commercial54) or custom roll dimensions.

輸入參數openings_m2roll_presetroll_width_mwall_width_m必填roll_length_mwall_height_m必填pattern_repeat_m

baluster_spacing_calculator

Equal baluster/spindle spacing for a run: number of balusters, exact gap and positions. Enforces a maximum gap (e.g. the 4-inch / 100 mm sphere code rule).

輸入參數run_mm必填max_gap_mmbaluster_width_mm必填

flooring_calculator

Laminate/vinyl plank takeoff: planks, boxes and cost with offcut reuse between rows (best-fit), expansion gap, layout waste presets and direction.

輸入參數layoutdirectionexpansion_mmprice_per_m2room_width_m必填min_offcut_mmprice_per_boxroom_length_m必填waste_percentplank_width_mm必填planks_per_boxplank_length_mm必填

embroidery_resize

Resize an embroidery design file (PES or DST) by a scale percentage. Returns stitch stats before/after, a density safety verdict (safe within +/-15%) and the resized file as base64.

輸入參數file_base64必填scale_percent必填

hoppus_volume

Hoppus (quarter-girth) volume of round logs from mid-length circumference and length: (C/4)^2 x L. Returns Hoppus volume, true volume (x 4/pi), Hoppus tons (50 h ft3) and a board-feet approximation, with optional quantity and value per Hoppus unit.

輸入參數qtyunitlength必填circumference必填price_per_hoppus_unit

log_volume

Cubic volume of a log by classical formula: Huber (mid diameter only), Smalian (both end diameters) or Newton (all three, most accurate). Metric (cm, m) or imperial (in, ft); returns volume in m3 and ft3.

輸入參數unitlength必填methoddiameter_middiameter_largediameter_small

jas_log_scale

Japanese Agricultural Standard (JAS) log scale: official diameter rounding (floor to 1 cm below 14 cm, even 2 cm at 14 cm and above), oval-log averaging, optional +2 cm ovality adjustment and the length allowance for logs over 6 m. Volume per log and totals in m3.

輸入參數qtylength_m必填oval_adjustdiameter_long_cmdiameter_small_cm必填

timber_unit_converter

Convert timber quantities between m3, ft3, board feet, MBF, Hoppus ft3, Hoppus m3 and Hoppus tons, and translate a price quoted in any unit into $/m3 and $/MBF (1 MBF = 2.3597 m3).

輸入參數qtyfrom必填pricevalue必填price_per

green_log_weight

Weight of a roundwood/log batch at any moisture content: W = volume x basic density x (1 + MC/100), per USDA Wood Handbook 2021 Ch.4. Presets for 14 verified species (acacia, rubberwood, eucalyptus, oak, teak, spruce...) or a custom basic density. Returns oven-dry mass, water mass and tonnes.

輸入參數mc_pctspeciesvolume_m3必填basic_density_kg_m3

stowage_factor

Stowage factor SF = cargo volume (m3) / cargo mass (tonnes), with classification against the IMO CSS Code Table 4.1 reference ranges for wood cargoes (sawn timber, tropical logs, plywood...).

輸入參數tonnes必填volume_m3必填

container_loading

How many uniform cartons fit in a shipping container before cube-out or weigh-out. Presets: 20GP (33.2 CBM nominal, 28,200 kg payload), 40GP (67.7 CBM, 26,700 kg), 40HC (76.4 CBM, 68 usable, 26,500 kg) — all editable. Returns max pieces by volume vs weight, the binding limit, balanced density (kg/m3) and containers needed for a planned quantity.

輸入參數containerpiece_h_mpiece_l_mpiece_w_mpayload_kgusable_cbmplanned_qtykg_per_piece必填cbm_per_piece

sawmill_recovery

Sawmill recovery rate (lumber recovery factor): sawn volume out / roundwood volume in, benchmarked against FAO/EU/SE-Asia reference ranges. Also computes log-rule overrun/underrun: (actual BF - rule BF) / rule BF — Doyle underestimates small logs, so overrun is usually positive.

輸入參數actual_bflog_rule_bfinput_volume_m3必填output_volume_m3必填

moisture_content

Wood moisture content (WH-2021 Ch.4 Eq. 4-1..4-4). Two modes: (1) sample-based MC_od/MC_wb from wet+dry masses; (2) drying outcome — mass + water lost when going from start MC to target MC. Optional Gb (kg/m³) returns MCmax and MCsink. Basis 'od' (oven-dry, industry default) or 'wb' (wet).

輸入參數modebasisdry_masswet_massend_mc_pctstart_massstart_mc_pctbasic_density_kg_m3

wood_shrinkage

Wood shrinkage from a start MC to an end MC (WH-2021 Eq. 4-9: S_x = S_od × (1 − x/FSP)). Direction: tangential (board width) or radial (board thickness) or volumetric. Picks a species from the wood-species table (16 verified species) or accepts custom S_od + FSP. MC is clamped to FSP — above FSP wood doesn't change dimension.

輸入參數speciesdirection必填end_mc_pct必填dimension_mm必填start_mc_pct必填custom_fsp_pctcustom_shrink_od_pct

wood_emc

Equilibrium moisture content (EMC) from temperature and RH using the Hailwood–Horrobin sorption model (Simpson 1973 coefficients, desorption branch — WH-2021 Ch.4 Table 4-2). Optional reverse mode: target MC → required RH at the given temperature.

輸入參數modebranchrh_pcttemp_c必填target_mc_pct

kiln_capacity

Kiln charge capacity: wood volume per batch (AH-188 / TechDrying). V_wood = D×R×C × t/(t+s) × f where t=board thickness, s=sticker thickness, f=fill factor (0.85–0.95). Returns wood volume in m³ and board feet (1 m³ = 423.77 BF).

輸入參數width_m必填height_m必填length_m必填fill_factorboard_thickness_mm必填sticker_thickness_mm必填

rough_sizing

Rough sizing — convert between finished (planed, kiln-dried) and rough-sawn dimensions before drying and planing. Adds planing allowance (default 2.5 mm/face) + saw kerf (default 2.2 mm band) and applies WH-2021 Eq. 4-9 shrinkage. Direction: tangential (board width) or radial (board thickness).

輸入參數modekerf_mmspeciesrough_mmdirection必填planing_mmfinished_mmsawn_mc_pct必填custom_fsp_pctfinished_mc_pct必填custom_shrink_od_pct

firewood_calculator

Convert firewood volume between cord (128 ft3), stere/Raummeter (stacked m3), solid m3 (Festmeter), loose m3 and ft3, with optional weight estimate by wood species (dry/fresh).

輸入參數from必填value必填speciesmoistureloose_factorsolid_factor

rpm_calculator

Spindle speed (RPM) from cutting speed: n = Vc*1000/(pi*D) metric, n = Vc*12/(pi*D) imperial. Metric takes diameter in mm and Vc in m/min; imperial takes diameter in inches and Vc in SFM. Includes a web_url with the calculation prefilled.

輸入參數unitdiameter必填cutting_speed必填

cutting_speed_calculator

Cutting speed from spindle speed: Vc = pi*D*n/1000 metric (m/min), SFM = pi*D*n/12 imperial. Always also returns the same speed converted to the other unit system. Includes a web_url with the calculation prefilled.

輸入參數rpm必填unitdiameter必填

timber_beam_capacity

Allowable load on a simply supported rectangular timber beam (planning estimate, Eurocode 5 conventions, EN 338 grades C16-D40/D24-D40). Returns allowable UDL and center point load (gross and net of self-weight), governing mode (bending vs deflection at L/300), utilization, section properties. NOT a structural design - verify with an engineer. Includes a web_url with the beam prefilled.

輸入參數grade必填span_mm必填width_mm必填height_mm必填load_type

glass_price_calculator

Cut-to-size glass cost and weight estimate: net area with optional waste allowance, weight (2.5 kg/m2 per mm of thickness), material cost from your price per m2, optional polished-edge work per running metre, total and per-piece cost. Includes a web_url with the quote prefilled.

輸入參數quantitywidth_mm必填height_mm必填waste_pctprice_per_m2必填thickness_mm必填edge_price_per_m

manufacturing_yield

Cumulative yield through a wood production chain (sawing -> drying -> machining -> finishing). Multiplies stage yields, shows per-stage loss and computes the roundwood volume needed for a target finished volume.

輸入參數stages必填target_output_m3

glue_consumption

Wood adhesive quantity: bond area x spread (g/m2, TDS presets like PVAc D3 175, EGP 250, finger-joint PUR 530) x application faces x waste allowance. Also computes bond area for edge-glued panels (joints from board width) and face lamination lay-ups.

輸入參數facesface_lamwaste_pctedge_panelspread_gsm必填bond_area_m2density_gcm3price_per_kg

paint_coverage

Wood finishing paint quantity. Technical route: theoretical coverage = 10 x %volume solids / DFT(um), multiplied by transfer efficiency (conventional spray 30-35%, airless ~50%, HVLP ~65-90%, brush/roller ~90%); or a data-sheet coverage in m2/L. Adds an optional extra % for carved/3D surfaces.

輸入參數coats必填area_m2必填solids_pctdft_micronsprice_per_lshape_extra_pcttransfer_eff_pctcoverage_m2_per_l

cbm_shipment

Packing CBM for cartons: per-line and lot volume (m3), total weight and lot density, with a cube-out / weigh-out verdict against the 40HC balanced density (390 kg/m3 - same presets as container loading).

輸入參數lines必填

bom_costing

Bill-of-materials cost roll-up for furniture: buy quantity = net qty x (1 + waste%, verified presets: S4S lumber 18%, rough 28%, nested panels 10%, hardware 3%), line and total costs, cost per product and a selling price from a target margin (price = cost / (1 - margin)).

輸入參數lines必填productsmargin_pctlabor_per_product

版本歷史

1
  1. v1.2.0最新Sep 25, 2026

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