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NestingCalc Calculators

com.nestingcalc/calculators
Productivity Science & Engineering Public & reachable MCP 2025-11-25

What this MCP does

Provides woodworking, cutting, material, manufacturing, construction, and shipping calculations, including optimization and costing tools.

Capabilities

Tools

37 tools
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).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['run_mm', 'baluster_width_mm'], 'properties': {'run_mm': {'type': 'number', 'description': 'Total run length between posts', 'exclusiveMinimum': 0}, 'max_gap_mm': {'type': 'number', 'default': 100, 'minimum': 0, 'description': 'Maximum allowed gap (100 mm = sphere rule, 102 mm = 4 in)'}, 'baluster_width_mm': {'type': 'number', 'exclusiveMinimum': 0}}}
board_feet_calculator
Calculate board feet and lumber cost (thickness x width x length / 144 in inches). Accepts multiple boards and an optional price quoted per board foot or per MBF (thousand board feet).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['boards'], 'properties': {'unit': {'enum': ['in', 'ft', 'mm', 'cm', 'm'], 'type': 'string', 'default': 'in', 'description': 'Unit for board dimensions'}, 'price': {'type': 'number', 'minimum': 0, 'description': 'Optional price per price_unit'}, 'boards': {'type': 'array', 'items': {'type': 'object', 'required': ['thickness', 'width', 'length'], 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'label': {'type': 'string'}, 'width': {'type': 'number', 'exclusiveMinimum': 0}, 'length': {'type': 'number', 'exclusiveMinimum': 0}, 'thickness': {'type': 'number', 'exclusiveMinimum': 0}}}, 'minItems': 1, 'description': 'Boards (dimensions in the chosen unit)'}, 'price_unit': {'enum': ['bf', 'mbf'], 'type': 'string', 'default': 'bf', 'description': 'Unit the price is quoted in: single board foot or MBF (1,000 bf)'}}}
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)).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['lines'], 'properties': {'lines': {'type': 'array', 'items': {'type': 'object', 'required': ['qty', 'unit_cost'], 'properties': {'qty': {'type': 'number', 'description': 'Net quantity per product', 'exclusiveMinimum': 0}, 'name': {'type': 'string'}, 'unit': {'type': 'string', 'description': 'Unit label (m3, m2, pcs...)'}, 'unit_cost': {'type': 'number', 'description': 'Cost per unit', 'exclusiveMinimum': 0}, 'waste_pct': {'type': 'number', 'default': 0, 'maximum': 200, 'minimum': 0, 'description': 'Waste allowance %'}}}, 'minItems': 1}, 'products': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'description': 'Products this BOM covers', 'exclusiveMinimum': 0}, 'margin_pct': {'type': 'number', 'maximum': 90, 'minimum': 0, 'description': 'Target margin on selling price, %'}, 'labor_per_product': {'type': 'number', 'minimum': 0, 'description': 'Direct labour per product'}}}
cbm_shipment
Packing CBM for cartons: per-line and lot volume (m3), total weight and lot density, with a cube-out / weigh-out verdict against the 40HC balanced density (390 kg/m3 - same presets as container loading).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['lines'], 'properties': {'lines': {'type': 'array', 'items': {'type': 'object', 'required': ['length_cm', 'width_cm', 'height_cm', 'count'], 'properties': {'count': {'type': 'integer', 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'width_cm': {'type': 'number', 'exclusiveMinimum': 0}, 'height_cm': {'type': 'number', 'exclusiveMinimum': 0}, 'length_cm': {'type': 'number', 'exclusiveMinimum': 0}, 'weight_kg': {'type': 'number', 'minimum': 0, 'description': 'Gross weight per carton, kg'}}}, 'minItems': 1, 'description': 'Carton lines'}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['unit', 'tool_diameter', 'chip_load', 'cutting_speed'], 'properties': {'unit': {'enum': ['metric', 'imperial'], 'type': 'string'}, 'flutes': {'type': 'integer', 'default': 2, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'machine': {'enum': ['router', 'mill'], 'type': 'string', 'default': 'router'}, 'chip_load': {'type': 'number', 'description': 'Chip load per tooth (mm or inch)', 'exclusiveMinimum': 0}, 'cutting_speed': {'type': 'number', 'description': 'Cutting speed Vc (m/min or ft/min)', 'exclusiveMinimum': 0}, 'tool_diameter': {'type': 'number', 'description': 'Cutter diameter (mm or inch)', 'exclusiveMinimum': 0}}}
container_loading
How many uniform cartons fit in a shipping container before cube-out or weigh-out. Presets: 20GP (33.2 CBM nominal, 28,200 kg payload), 40GP (67.7 CBM, 26,700 kg), 40HC (76.4 CBM, 68 usable, 26,500 kg) — all editable. Returns max pieces by volume vs weight, the binding limit, balanced density (kg/m3) and containers needed for a planned quantity.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['kg_per_piece'], 'properties': {'container': {'enum': ['20gp', '40gp', '40hc', 'custom'], 'type': 'string', 'default': '40hc'}, 'piece_h_m': {'type': 'number', 'minimum': 0, 'description': 'Carton height (m)'}, 'piece_l_m': {'type': 'number', 'minimum': 0, 'description': 'Carton length (m)'}, 'piece_w_m': {'type': 'number', 'minimum': 0, 'description': 'Carton width (m)'}, 'payload_kg': {'type': 'number', 'minimum': 0, 'description': 'Override max payload (kg); route limits are often lower than the container maximum'}, 'usable_cbm': {'type': 'number', 'minimum': 0, 'description': 'Override usable/stowable volume (CBM)'}, 'planned_qty': {'type': 'integer', 'maximum': 9007199254740991, 'description': 'Planned number of cartons (returns containers needed)', 'exclusiveMinimum': 0}, 'kg_per_piece': {'type': 'number', 'description': 'Mass per carton (kg)', 'exclusiveMinimum': 0}, 'cbm_per_piece': {'type': 'number', 'minimum': 0, 'description': 'Volume per carton in CBM (alternative to dimensions)'}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['diameter', 'rpm'], 'properties': {'rpm': {'type': 'number', 'description': 'Spindle speed in revolutions per minute', 'exclusiveMinimum': 0}, 'unit': {'enum': ['metric', 'imperial'], 'type': 'string', 'default': 'metric', 'description': 'Unit system'}, 'diameter': {'type': 'number', 'description': 'Tool/workpiece diameter (metric: mm, imperial: inch)', 'exclusiveMinimum': 0}}}
embroidery_resize
Resize an embroidery design file (PES or DST) by a scale percentage. Returns stitch stats before/after, a density safety verdict (safe within +/-15%) and the resized file as base64.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['file_base64', 'scale_percent'], 'properties': {'file_base64': {'type': 'string', 'minLength': 4, 'description': 'Base64-encoded PES or DST file'}, 'scale_percent': {'type': 'number', 'description': 'Target scale in percent, e.g. 80 for -20%', 'exclusiveMinimum': 0}}}
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).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['value', 'from'], 'properties': {'from': {'enum': ['stere', 'cord', 'loose', 'ft3'], 'type': 'string', 'description': 'Input unit: stere = 1 stacked m3, cord = 128 ft3, loose = bulk m3'}, 'value': {'type': 'number', 'exclusiveMinimum': 0}, 'species': {'enum': ['pine', 'spruce', 'fir', 'cedar', 'poplar', 'oak-red', 'oak-white', 'maple-hard', 'birch', 'ash', 'beech', 'walnut', 'cherry', 'mahogany', 'teak', 'mdf', 'plywood', 'oak-engineered'], 'type': 'string', 'description': 'Optional species key for weight'}, 'moisture': {'enum': ['dry', 'fresh'], 'type': 'string', 'default': 'dry', 'description': 'fresh = 1.5x weight'}, 'loose_factor': {'type': 'number', 'default': 1.4, 'description': 'Loose m3 per stacked m3 (1.35-1.55 typical)', 'exclusiveMinimum': 1}, 'solid_factor': {'type': 'number', 'default': 0.7, 'maximum': 1, 'description': 'Solid m3 per stacked m3 (Festmeter/Raummeter, 0.65-0.75 typical) - the weight runs off this', 'exclusiveMinimum': 0}}}
flooring_calculator
Laminate/vinyl plank takeoff: planks, boxes and cost with offcut reuse between rows (best-fit), expansion gap, layout waste presets and direction.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['room_width_m', 'room_length_m', 'plank_width_mm', 'plank_length_mm'], 'properties': {'layout': {'enum': ['straight', 'staggered', 'herringbone', 'diagonal'], 'type': 'string', 'default': 'staggered'}, 'direction': {'enum': ['length', 'width'], 'type': 'string', 'default': 'length', 'description': 'Plank direction'}, 'expansion_mm': {'type': 'number', 'default': 10, 'minimum': 0}, 'price_per_m2': {'type': 'number', 'minimum': 0}, 'room_width_m': {'type': 'number', 'exclusiveMinimum': 0}, 'min_offcut_mm': {'type': 'number', 'default': 300, 'minimum': 0, 'description': 'Offcuts shorter than this are not reused'}, 'price_per_box': {'type': 'number', 'minimum': 0}, 'room_length_m': {'type': 'number', 'exclusiveMinimum': 0}, 'waste_percent': {'type': 'number', 'minimum': 0, 'description': 'Overrides the layout default'}, 'plank_width_mm': {'type': 'number', 'exclusiveMinimum': 0}, 'planks_per_box': {'type': 'integer', 'default': 8, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'plank_length_mm': {'type': 'number', 'exclusiveMinimum': 0}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['width_mm', 'height_mm', 'thickness_mm', 'price_per_m2'], 'properties': {'quantity': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'description': 'Number of identical panes', 'exclusiveMinimum': 0}, 'width_mm': {'type': 'number', 'description': 'Pane width in mm', 'exclusiveMinimum': 0}, 'height_mm': {'type': 'number', 'description': 'Pane height in mm', 'exclusiveMinimum': 0}, 'waste_pct': {'type': 'number', 'default': 0, 'maximum': 50, 'minimum': 0, 'description': 'Cutting-waste allowance added on top of net area (%)'}, 'price_per_m2': {'type': 'number', 'description': 'Glass price per square metre', 'exclusiveMinimum': 0}, 'thickness_mm': {'type': 'number', 'description': 'Glass thickness in mm (2-25)', 'exclusiveMinimum': 0}, 'edge_price_per_m': {'type': 'number', 'default': 0, 'minimum': 0, 'description': 'Polished-edge work price per running metre'}}}
glue_consumption
Wood adhesive quantity: bond area x spread (g/m2, TDS presets like PVAc D3 175, EGP 250, finger-joint PUR 530) x application faces x waste allowance. Also computes bond area for edge-glued panels (joints from board width) and face lamination lay-ups.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['spread_gsm'], 'properties': {'faces': {'enum': ['1', '2'], 'type': 'string', 'default': '1', 'description': '1 = single-face, 2 = both mating faces'}, 'face_lam': {'type': 'object', 'required': ['length_mm', 'width_mm', 'layers'], 'properties': {'sets': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'layers': {'type': 'integer', 'maximum': 9007199254740991, 'minimum': 2}, 'width_mm': {'type': 'number', 'exclusiveMinimum': 0}, 'length_mm': {'type': 'number', 'exclusiveMinimum': 0}}, 'description': 'Face lamination lay-up instead of a direct area'}, 'waste_pct': {'type': 'number', 'default': 5, 'maximum': 100, 'minimum': 0, 'description': 'Application/squeeze-out waste, %'}, 'edge_panel': {'type': 'object', 'required': ['panel_length_mm', 'panel_width_mm', 'board_width_mm', 'panel_thickness_mm'], 'properties': {'panels': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'board_width_mm': {'type': 'number', 'description': 'Sawn lamella width - joint count = ceil(width/board)-1', 'exclusiveMinimum': 0}, 'panel_width_mm': {'type': 'number', 'exclusiveMinimum': 0}, 'panel_length_mm': {'type': 'number', 'exclusiveMinimum': 0}, 'panel_thickness_mm': {'type': 'number', 'exclusiveMinimum': 0}}, 'description': 'Edge-glued panel dimensions instead of a direct area'}, 'spread_gsm': {'type': 'number', 'description': 'Spread rate g/m2 (PVAc D3 one face ~175, EGP ~250, finger PUR ~530)', 'exclusiveMinimum': 0}, 'bond_area_m2': {'type': 'number', 'minimum': 0, 'description': 'Total bond-line area, m2'}, 'density_gcm3': {'type': 'number', 'minimum': 0, 'description': 'Glue density g/cm3 to get litres (PVAc ~1.08)'}, 'price_per_kg': {'type': 'number', 'minimum': 0, 'description': 'Glue price per kg'}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['volume_m3'], 'properties': {'mc_pct': {'type': 'number', 'minimum': 0, 'description': "Moisture content % oven-dry basis; defaults to the species' freshly-felled MC (~73% acacia, ~75% rubberwood)"}, 'species': {'type': 'string', 'description': 'Species key, e.g. acacia-mangium, rubberwood, white-oak, teak'}, 'volume_m3': {'type': 'number', 'description': 'Roundwood volume in m3 (Hoppus true, Huber or JAS volume)', 'exclusiveMinimum': 0}, 'basic_density_kg_m3': {'type': 'number', 'minimum': 0, 'description': 'Custom basic density (oven-dry kg per green m3); overrides the species preset'}}}
hoppus_volume
Hoppus (quarter-girth) volume of round logs from mid-length circumference and length: (C/4)^2 x L. Returns Hoppus volume, true volume (x 4/pi), Hoppus tons (50 h ft3) and a board-feet approximation, with optional quantity and value per Hoppus unit.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['circumference', 'length'], 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'unit': {'enum': ['imperial', 'metric'], 'type': 'string', 'default': 'imperial', 'description': 'imperial: circumference in inches, length in feet; metric: cm and m'}, 'length': {'type': 'number', 'description': 'Log length (ft or m)', 'exclusiveMinimum': 0}, 'circumference': {'type': 'number', 'description': 'Circumference at mid-length (in or cm)', 'exclusiveMinimum': 0}, 'price_per_hoppus_unit': {'type': 'number', 'minimum': 0, 'description': 'Optional value per Hoppus ft3/m3'}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['diameter_small_cm', 'length_m'], 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'length_m': {'type': 'number', 'description': 'Log length in meters', 'exclusiveMinimum': 0}, 'oval_adjust': {'type': 'boolean', 'default': False, 'description': 'Add the +2 cm ovality adjustment'}, 'diameter_long_cm': {'type': 'number', 'minimum': 0, 'description': 'Long-axis diameter for oval logs (cm)'}, 'diameter_small_cm': {'type': 'number', 'description': 'Short-axis diameter in cm', 'exclusiveMinimum': 0}}}
kiln_capacity
Kiln charge capacity: wood volume per batch (AH-188 / TechDrying). V_wood = D×R×C × t/(t+s) × f where t=board thickness, s=sticker thickness, f=fill factor (0.85–0.95). Returns wood volume in m³ and board feet (1 m³ = 423.77 BF).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['length_m', 'width_m', 'height_m', 'board_thickness_mm', 'sticker_thickness_mm'], 'properties': {'width_m': {'type': 'number', 'description': 'Stack width, m', 'exclusiveMinimum': 0}, 'height_m': {'type': 'number', 'description': 'Stack height, m', 'exclusiveMinimum': 0}, 'length_m': {'type': 'number', 'description': 'Stack length, m', 'exclusiveMinimum': 0}, 'fill_factor': {'type': 'number', 'minimum': 0, 'description': 'Stack fill factor 0â\x80\x931, default 0.9'}, 'board_thickness_mm': {'type': 'number', 'description': 'Average board thickness, mm', 'exclusiveMinimum': 0}, 'sticker_thickness_mm': {'type': 'number', 'description': 'Sticker thickness, mm (default 19)', 'exclusiveMinimum': 0}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['unit', 'stock_length', 'parts'], 'properties': {'kerf': {'type': 'number', 'default': 0, 'minimum': 0, 'description': 'Saw blade width consumed by each cut'}, 'trim': {'type': 'number', 'default': 0, 'minimum': 0, 'description': 'Unusable trim at bar ends'}, 'unit': {'enum': ['mm', 'cm', 'm', 'in', 'ft'], 'type': 'string', 'description': 'Unit for all lengths'}, 'parts': {'type': 'array', 'items': {'type': 'object', 'required': ['length'], 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'description': 'How many of this part', 'exclusiveMinimum': 0}, 'label': {'type': 'string', 'description': 'Optional part name'}, 'length': {'type': 'number', 'description': 'Cut length', 'exclusiveMinimum': 0}}}, 'minItems': 1, 'description': 'Parts to cut'}, 'stock_count': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'description': 'How many stock bars are available', 'exclusiveMinimum': 0}, 'stock_length': {'type': 'number', 'description': 'Length of one stock bar', 'exclusiveMinimum': 0}}}
log_volume
Cubic volume of a log by classical formula: Huber (mid diameter only), Smalian (both end diameters) or Newton (all three, most accurate). Metric (cm, m) or imperial (in, ft); returns volume in m3 and ft3.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['length'], 'properties': {'unit': {'enum': ['metric', 'imperial'], 'type': 'string', 'default': 'metric', 'description': 'metric: diameters in cm, length in m; imperial: in and ft'}, 'length': {'type': 'number', 'exclusiveMinimum': 0}, 'method': {'enum': ['huber', 'smalian', 'newton'], 'type': 'string', 'default': 'huber'}, 'diameter_mid': {'type': 'number', 'minimum': 0, 'description': 'Mid-length diameter (huber/newton)'}, 'diameter_large': {'type': 'number', 'minimum': 0, 'description': 'Large-end diameter (smalian/newton)'}, 'diameter_small': {'type': 'number', 'minimum': 0, 'description': 'Small-end diameter (smalian/newton)'}}}
lumber_weight_calculator
Weight of lumber by species, dimensions, quantity and moisture (dry/fresh), using species density tables. Optional custom density in kg/m3.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['species', 'thickness_mm', 'width_mm', 'length_m'], 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'species': {'enum': ['pine', 'spruce', 'fir', 'cedar', 'poplar', 'oak-red', 'oak-white', 'maple-hard', 'birch', 'ash', 'beech', 'walnut', 'cherry', 'mahogany', 'teak', 'mdf', 'plywood', 'oak-engineered'], 'type': 'string', 'description': 'Wood species key'}, 'length_m': {'type': 'number', 'exclusiveMinimum': 0}, 'moisture': {'enum': ['dry', 'fresh'], 'type': 'string', 'default': 'dry', 'description': 'fresh (green) wood uses 1.5x density (+50% weight)'}, 'width_mm': {'type': 'number', 'exclusiveMinimum': 0}, 'thickness_mm': {'type': 'number', 'exclusiveMinimum': 0}, 'custom_density_kg_m3': {'type': 'number', 'minimum': 0, 'description': 'Overrides species density'}}}
manufacturing_yield
Cumulative yield through a wood production chain (sawing -> drying -> machining -> finishing). Multiplies stage yields, shows per-stage loss and computes the roundwood volume needed for a target finished volume.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['stages'], 'properties': {'stages': {'type': 'array', 'items': {'type': 'object', 'required': ['yield_pct'], 'properties': {'label': {'type': 'string', 'description': 'Optional stage name'}, 'yield_pct': {'type': 'number', 'description': 'Share of stage input that becomes usable output, %', 'exclusiveMinimum': 0}}}, 'minItems': 1, 'description': 'Production stages in process order'}, 'target_output_m3': {'type': 'number', 'minimum': 0, 'description': 'Finished volume wanted, m3 (reverse mode)'}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['profile', 'material', 'length_m'], 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'od_mm': {'type': 'number', 'minimum': 0, 'description': 'pipe/round-bar: outer diameter'}, 'web_mm': {'type': 'number', 'minimum': 0, 'description': 'beam: web thickness'}, 'profile': {'enum': ['pipe', 'round-bar', 'square-tube', 'rect-tube', 'flat-bar', 'angle', 'beam'], 'type': 'string'}, 'wall_mm': {'type': 'number', 'minimum': 0, 'description': 'pipe/tubes: wall thickness'}, 'length_m': {'type': 'number', 'description': 'Length in meters', 'exclusiveMinimum': 0}, 'material': {'enum': ['steel', 'stainless', 'aluminum', 'copper', 'brass'], 'type': 'string'}, 'width_mm': {'type': 'number', 'minimum': 0, 'description': 'rect-tube/flat-bar/angle/beam: width'}, 'height_mm': {'type': 'number', 'minimum': 0, 'description': 'rect-tube/beam: height'}}}
miter_angle_calculator
Miter angles three ways: corner mode (any corner angle between two pieces), sides mode (regular polygon with N sides), crown mode (miter + bevel for crown molding at a spring angle).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['mode'], 'properties': {'mode': {'enum': ['corner', 'sides', 'crown'], 'type': 'string', 'description': 'Calculation mode'}, 'sides': {'type': 'integer', 'maximum': 120, 'minimum': 3, 'description': 'sides mode: number of sides of the frame/polygon'}, 'corner_angle_deg': {'type': 'number', 'description': 'corner mode: interior corner angle, e.g. 90 or 135', 'exclusiveMaximum': 180, 'exclusiveMinimum': 0}, 'spring_angle_deg': {'type': 'number', 'description': 'crown mode: spring angle, typically 38 or 45', 'exclusiveMaximum': 90, 'exclusiveMinimum': 0}}}
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).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'properties': {'mode': {'enum': ['sample', 'drying', 'max'], 'type': 'string', 'default': 'sample'}, 'basis': {'enum': ['od', 'wb'], 'type': 'string', 'default': 'od'}, 'dry_mass': {'type': 'number', 'minimum': 0, 'description': 'Oven-dry mass of sample (sample mode)'}, 'wet_mass': {'type': 'number', 'minimum': 0, 'description': 'Wet mass of sample (sample mode)'}, 'end_mc_pct': {'type': 'number', 'minimum': 0, 'description': 'Target MC after drying, %'}, 'start_mass': {'type': 'number', 'minimum': 0, 'description': 'Mass at start of drying (drying mode)'}, 'start_mc_pct': {'type': 'number', 'minimum': 0, 'description': 'MC at start of drying, %'}, 'basic_density_kg_m3': {'type': 'number', 'minimum': 0, 'description': 'Basic density kg/m³ for MCmax/MCsink (max mode)'}}}
paint_coverage
Wood finishing paint quantity. Technical route: theoretical coverage = 10 x %volume solids / DFT(um), multiplied by transfer efficiency (conventional spray 30-35%, airless ~50%, HVLP ~65-90%, brush/roller ~90%); or a data-sheet coverage in m2/L. Adds an optional extra % for carved/3D surfaces.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['area_m2', 'coats'], 'properties': {'coats': {'type': 'integer', 'maximum': 10, 'minimum': 1, 'description': 'Number of coats'}, 'area_m2': {'type': 'number', 'description': 'Surface to coat, m2 (flat projected area)', 'exclusiveMinimum': 0}, 'solids_pct': {'type': 'number', 'minimum': 0, 'description': 'Volume solids % (mode B)'}, 'dft_microns': {'type': 'number', 'minimum': 0, 'description': 'Target dry film thickness um (mode B)'}, 'price_per_l': {'type': 'number', 'minimum': 0, 'description': 'Coating price per litre'}, 'shape_extra_pct': {'type': 'number', 'default': 0, 'maximum': 100, 'minimum': 0, 'description': 'Extra % for 3D surfaces'}, 'transfer_eff_pct': {'type': 'number', 'minimum': 0, 'description': 'Transfer efficiency % (mode B; HVLP ~70)'}, 'coverage_m2_per_l': {'type': 'number', 'minimum': 0, 'description': 'Data-sheet coverage m2/L (mode A)'}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['lines'], 'properties': {'lines': {'type': 'array', 'items': {'type': 'object', 'required': ['diameter_mm', 'length_m'], 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'length_m': {'type': 'number', 'exclusiveMinimum': 0}, 'diameter_mm': {'type': 'number', 'description': 'Bar diameter, e.g. 12 or 15.875 (#5)', 'exclusiveMinimum': 0}}}, 'minItems': 1, 'description': 'Rebar lines'}}}
rough_sizing
Rough sizing — convert between finished (planed, kiln-dried) and rough-sawn dimensions before drying and planing. Adds planing allowance (default 2.5 mm/face) + saw kerf (default 2.2 mm band) and applies WH-2021 Eq. 4-9 shrinkage. Direction: tangential (board width) or radial (board thickness).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['finished_mc_pct', 'sawn_mc_pct', 'direction'], 'properties': {'mode': {'enum': ['forward', 'reverse'], 'type': 'string', 'default': 'forward'}, 'kerf_mm': {'type': 'number', 'minimum': 0, 'description': 'Saw kerf, mm (default 2.2 band)'}, 'species': {'type': 'string', 'description': "Species key for shrinkage (e.g. 'white-oak')"}, 'rough_mm': {'type': 'number', 'minimum': 0, 'description': 'Rough-sawn dimension mm (reverse mode)'}, 'direction': {'enum': ['tangential', 'radial'], 'type': 'string'}, 'planing_mm': {'type': 'number', 'minimum': 0, 'description': 'Planing allowance per face, mm (default 2.5)'}, 'finished_mm': {'type': 'number', 'minimum': 0, 'description': 'Finished dimension mm (forward mode)'}, 'sawn_mc_pct': {'type': 'number', 'description': 'MC at which the wood is sawn, %', 'exclusiveMinimum': 0}, 'custom_fsp_pct': {'type': 'number', 'minimum': 0, 'description': 'Custom FSP %, default 30'}, 'finished_mc_pct': {'type': 'number', 'description': 'Target finished MC, %', 'exclusiveMinimum': 0}, 'custom_shrink_od_pct': {'type': 'number', 'minimum': 0, 'description': 'Custom S_od % (used if no species)'}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['diameter', 'cutting_speed'], 'properties': {'unit': {'enum': ['metric', 'imperial'], 'type': 'string', 'default': 'metric', 'description': 'Unit system'}, 'diameter': {'type': 'number', 'description': 'Tool/workpiece diameter (metric: mm, imperial: inch)', 'exclusiveMinimum': 0}, 'cutting_speed': {'type': 'number', 'description': 'Cutting speed (metric: m/min, imperial: SFM)', 'exclusiveMinimum': 0}}}
sawmill_recovery
Sawmill recovery rate (lumber recovery factor): sawn volume out / roundwood volume in, benchmarked against FAO/EU/SE-Asia reference ranges. Also computes log-rule overrun/underrun: (actual BF - rule BF) / rule BF — Doyle underestimates small logs, so overrun is usually positive.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['input_volume_m3', 'output_volume_m3'], 'properties': {'actual_bf': {'type': 'number', 'minimum': 0, 'description': 'Optional: board feet actually sawn â\x80\x94 enables the overrun calculation'}, 'log_rule_bf': {'type': 'number', 'minimum': 0, 'description': 'Optional: board feet predicted by the log rule (Doyle/Scribner/International)'}, 'input_volume_m3': {'type': 'number', 'description': 'Roundwood volume in (m3)', 'exclusiveMinimum': 0}, 'output_volume_m3': {'type': 'number', 'description': 'Sawn lumber volume out (m3)', 'exclusiveMinimum': 0}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['unit', 'stock_width', 'stock_height', 'pieces'], 'properties': {'kerf': {'type': 'number', 'default': 0, 'minimum': 0, 'description': 'Blade/saw width consumed by each cut'}, 'unit': {'enum': ['mm', 'cm', 'm', 'in', 'ft'], 'type': 'string', 'description': 'Unit for all dimensions'}, 'pieces': {'type': 'array', 'items': {'type': 'object', 'required': ['width', 'height'], 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'description': 'How many of this piece', 'exclusiveMinimum': 0}, 'label': {'type': 'string', 'description': 'Optional piece name'}, 'width': {'type': 'number', 'description': 'Piece width', 'exclusiveMinimum': 0}, 'height': {'type': 'number', 'description': 'Piece height', 'exclusiveMinimum': 0}, 'rotatable': {'type': 'boolean', 'default': True, 'description': 'Allow 90-degree rotation (false = grain lock)'}}}, 'minItems': 1, 'description': 'Pieces to cut'}, 'stocks': {'type': 'array', 'items': {'type': 'object', 'required': ['width', 'height', 'count'], 'properties': {'count': {'type': 'integer', 'maximum': 9007199254740991, 'description': 'Sheets available of this size', 'exclusiveMinimum': 0}, 'width': {'type': 'number', 'description': 'Sheet width', 'exclusiveMinimum': 0}, 'height': {'type': 'number', 'description': 'Sheet height', 'exclusiveMinimum': 0}}}, 'maxItems': 6, 'description': 'Optional mixed stock sizes; replaces stock_width/stock_height/stock_count when given'}, 'trim_x': {'type': 'number', 'default': 0, 'minimum': 0, 'description': 'Symmetric trim removed from left/right sheet edges (damaged edges)'}, 'trim_y': {'type': 'number', 'default': 0, 'minimum': 0, 'description': 'Symmetric trim removed from top/bottom sheet edges'}, 'stock_count': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'description': 'How many sheets are available', 'exclusiveMinimum': 0}, 'stock_width': {'type': 'number', 'description': 'Sheet width', 'exclusiveMinimum': 0}, 'stock_height': {'type': 'number', 'description': 'Sheet height', 'exclusiveMinimum': 0}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'exclusiveMinimum': 0}, 'mode': {'enum': ['gauge', 'mm'], 'type': 'string', 'default': 'gauge', 'description': 'gauge: from gauge number; mm: from thickness'}, 'gauge': {'type': 'integer', 'maximum': 9007199254740991, 'description': 'gauge mode: gauge number, e.g. 16', 'exclusiveMinimum': 0}, 'material': {'enum': ['steel', 'stainless', 'aluminum', 'galvanized'], 'type': 'string', 'default': 'steel'}, 'width_mm': {'type': 'number', 'default': 1000, 'minimum': 0}, 'length_mm': {'type': 'number', 'default': 2000, 'minimum': 0}, 'thickness_mm': {'type': 'number', 'minimum': 0, 'description': 'mm mode: thickness in mm'}}}
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...).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['volume_m3', 'tonnes'], 'properties': {'tonnes': {'type': 'number', 'description': 'Total cargo mass in metric tonnes', 'exclusiveMinimum': 0}, 'volume_m3': {'type': 'number', 'description': 'Total cargo volume in cubic metres', 'exclusiveMinimum': 0}}}
tile_calculator
Tiles, boxes and cost for a room: room and tile dimensions, grout width, waste factor by layout pattern (straight, offset, diagonal, herringbone...), optional box size and prices.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['room_width_m', 'room_length_m', 'tile_width_mm', 'tile_length_mm'], 'properties': {'layout': {'enum': ['straight', 'offset', 'diagonal', 'herringbone', 'large-format', 'natural-stone'], 'type': 'string', 'default': 'straight', 'description': 'Layout pattern (sets default waste factor)'}, 'box_size': {'type': 'integer', 'default': 10, 'maximum': 9007199254740991, 'description': 'Tiles per box', 'exclusiveMinimum': 0}, 'grout_mm': {'type': 'number', 'default': 3, 'minimum': 0}, 'price_per_m2': {'type': 'number', 'minimum': 0}, 'room_width_m': {'type': 'number', 'exclusiveMinimum': 0}, 'price_per_box': {'type': 'number', 'minimum': 0}, 'room_length_m': {'type': 'number', 'exclusiveMinimum': 0}, 'tile_width_mm': {'type': 'number', 'exclusiveMinimum': 0}, 'waste_percent': {'type': 'number', 'minimum': 0, 'description': 'Overrides the layout default'}, 'tile_length_mm': {'type': 'number', 'exclusiveMinimum': 0}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['span_mm', 'width_mm', 'height_mm', 'grade'], 'properties': {'grade': {'enum': ['C16', 'C18', 'C24', 'C30', 'C35', 'C40', 'D24', 'D30', 'D40'], 'type': 'string', 'description': 'Timber grade (EN 338)'}, 'span_mm': {'type': 'number', 'description': 'Clear span between supports in mm', 'exclusiveMinimum': 0}, 'width_mm': {'type': 'number', 'description': 'Beam width b in mm', 'exclusiveMinimum': 0}, 'height_mm': {'type': 'number', 'description': 'Beam depth h in mm (strong axis)', 'exclusiveMinimum': 0}, 'load_type': {'enum': ['udl', 'point'], 'type': 'string', 'default': 'udl', 'description': 'Load type of interest'}}}
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 $/MBF (1 MBF = 2.3597 m3).
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['value', 'from'], 'properties': {'qty': {'type': 'integer', 'default': 1, 'maximum': 9007199254740991, 'description': 'Multiplier (number of lots)', 'exclusiveMinimum': 0}, 'from': {'enum': ['m3', 'ft3', 'bf', 'mbf', 'hft3', 'hm3', 'ht'], 'type': 'string', 'description': 'Source unit'}, 'price': {'type': 'number', 'minimum': 0, 'description': 'Optional price per price_per unit'}, 'value': {'type': 'number', 'description': 'Quantity in the source unit', 'exclusiveMinimum': 0}, 'price_per': {'enum': ['m3', 'ft3', 'bf', 'mbf', 'hft3', 'hm3', 'ht'], 'type': 'string', 'default': 'mbf'}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['wall_width_m', 'wall_height_m'], 'properties': {'openings_m2': {'type': 'number', 'default': 0, 'minimum': 0, 'description': 'Area of doors/windows to subtract'}, 'roll_preset': {'enum': ['us-single', 'us-double', 'eu', 'commercial54'], 'type': 'string'}, 'roll_width_m': {'type': 'number', 'minimum': 0, 'description': 'Custom roll width (overrides preset)'}, 'wall_width_m': {'type': 'number', 'exclusiveMinimum': 0}, 'roll_length_m': {'type': 'number', 'minimum': 0, 'description': 'Custom roll length (overrides preset)'}, 'wall_height_m': {'type': 'number', 'exclusiveMinimum': 0}, 'pattern_repeat_m': {'type': 'number', 'default': 0, 'minimum': 0, 'description': 'Pattern repeat length'}}}
wood_emc
Equilibrium moisture content (EMC) from temperature and RH using the Hailwood–Horrobin sorption model (Simpson 1973 coefficients, desorption branch — WH-2021 Ch.4 Table 4-2). Optional reverse mode: target MC → required RH at the given temperature.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['temp_c'], 'properties': {'mode': {'enum': ['emc', 'reverse'], 'type': 'string', 'default': 'emc'}, 'branch': {'enum': ['desorption', 'adsorption'], 'type': 'string', 'default': 'desorption'}, 'rh_pct': {'type': 'number', 'minimum': 0, 'description': 'Relative humidity, 0â\x80\x93100 (emc mode)'}, 'temp_c': {'type': 'number', 'description': 'Air temperature, °C', 'exclusiveMinimum': 0}, 'target_mc_pct': {'type': 'number', 'minimum': 0, 'description': 'Target MC % (reverse mode)'}}}
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.
Input schema 
{'type': 'object', '$schema': 'https://json-schema.org/draft/2020-12/schema', 'required': ['start_mc_pct', 'end_mc_pct', 'dimension_mm', 'direction'], 'properties': {'species': {'type': 'string', 'description': "Species key, e.g. 'white-oak', 'rubberwood'"}, 'direction': {'enum': ['tangential', 'radial', 'volumetric'], 'type': 'string'}, 'end_mc_pct': {'type': 'number', 'description': 'Target MC, %, must be â\x89¤ start_mc_pct', 'exclusiveMinimum': 0}, 'dimension_mm': {'type': 'number', 'description': 'Original dimension in mm (width, thickness, or volume)', 'exclusiveMinimum': 0}, 'start_mc_pct': {'type': 'number', 'description': 'Starting MC, %', 'exclusiveMinimum': 0}, 'custom_fsp_pct': {'type': 'number', 'minimum': 0, 'description': 'Custom FSP %, default 30 (22 for teak)'}, 'custom_shrink_od_pct': {'type': 'number', 'minimum': 0, 'description': 'Custom greenâ\x86\x92OD shrinkage %, used if no species'}}}
History

Recent tool changes

Added
bom_costing
Sept. 26, 2026, 2:40 a.m.
Added
cbm_shipment
Sept. 26, 2026, 2:40 a.m.
Added
paint_coverage
Sept. 26, 2026, 2:40 a.m.
Added
glue_consumption
Sept. 26, 2026, 2:40 a.m.
Added
manufacturing_yield
Sept. 26, 2026, 2:40 a.m.
Added
glass_price_calculator
Sept. 26, 2026, 2:40 a.m.
Added
timber_beam_capacity
Sept. 26, 2026, 2:40 a.m.
Added
cutting_speed_calculator
Sept. 26, 2026, 2:40 a.m.
Added
rpm_calculator
Sept. 26, 2026, 2:40 a.m.
Added
firewood_calculator
Sept. 26, 2026, 2:40 a.m.
Added
rough_sizing
Sept. 26, 2026, 2:40 a.m.
Added
kiln_capacity
Sept. 26, 2026, 2:40 a.m.
Added
wood_emc
Sept. 26, 2026, 2:40 a.m.
Added
wood_shrinkage
Sept. 26, 2026, 2:40 a.m.
Added
moisture_content
Sept. 26, 2026, 2:40 a.m.
Added
sawmill_recovery
Sept. 26, 2026, 2:40 a.m.
Added
container_loading
Sept. 26, 2026, 2:40 a.m.
Added
stowage_factor
Sept. 26, 2026, 2:40 a.m.
Added
green_log_weight
Sept. 26, 2026, 2:40 a.m.
Added
timber_unit_converter
Sept. 26, 2026, 2:40 a.m.
Added
jas_log_scale
Sept. 26, 2026, 2:40 a.m.
Added
log_volume
Sept. 26, 2026, 2:40 a.m.
Added
hoppus_volume
Sept. 26, 2026, 2:40 a.m.
Added
embroidery_resize
Sept. 26, 2026, 2:40 a.m.
Added
flooring_calculator
Sept. 26, 2026, 2:40 a.m.
Added
baluster_spacing_calculator
Sept. 26, 2026, 2:40 a.m.
Added
wallpaper_calculator
Sept. 26, 2026, 2:40 a.m.
Added
tile_calculator
Sept. 26, 2026, 2:40 a.m.
Added
sheet_metal_gauge
Sept. 26, 2026, 2:40 a.m.
Added
cnc_feeds_speeds
Sept. 26, 2026, 2:40 a.m.
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