Engineering Calculators — 53 Live Tools

Calculation flow: 1 Vc Cutting Speed → 2 RPM + Feed → 3 Machining Time → 4 Cutting Force → 5 Drilling & Tapping

1 · Cutting Speed → RPM

Enter Vc ← get RPM + Vf + MRR

Vc — Cutting Speed (m/min)

Custom Vc (m/min)

D — Tool/Material Diameter (mm)

fn — Feed per Rev (mm/rev)

ap — Depth of Cut (mm)

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2 · Machining Time ← from RPM

RPM + feed from calculator 1 → time tc

L — Machining Length (mm)

RPM (calculator 1 ↑)

fn — Feed (mm/rev)

Number of Passes

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3 · Cutting Force & Power Consumption

kc — Specific Force (N/mm²)

Ft — Chip Cross-Section (mm²) = ap × fn

Vc (m/min) ← from calculator 1

η — Spindle Efficiency (%)

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4 · Sine Bar — Surface Angle

L — Sine Bar Length (mm)

α — Required Angle (°)

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5 · Drill & Tap

Metric Size

Thread Depth (× D)

Material

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6 · RPM → Vc (Reverse)

RPM (revolutions per minute)

D — Diameter (mm)

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7 · Tap Drill Size

Metric thread → drill diameter by thread engagement percentage

D — Nominal Diameter (mm)

P — Thread Pitch (mm)

% Thread Engagement

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8 · Turning Surface Finish (Ra)

Expected Ra from feed and tool nose radius

fn — Feed per Rev (mm/rev)

Rε — Tool Nose Radius (mm)

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9 · Tool Life (Taylor Equation)

V×T^n = C — expected tool life from cutting speed

V — Selected Cutting Speed (m/min)

C — Taylor Constant (m/min)

n — Taylor Exponent

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Flow: 1 Force/Torque → 2 Shaft/Beam Stress → 3 Size Selection → 4 Weight

1 · Shaft — Torque and Power

P → T → τ → minimum diameter

P — Power (kW)

n — Speed (RPM)

τ_allow — Allowable Shear Stress (MPa)

Custom τ_allow (MPa)

SF — Safety Factor

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2 · Beam — Bending and Deflection

Simply Supported · Cantilever

Beam Type

L — Length (mm)

F — Load (N)

E — Young's Modulus (GPa)

I — Moment of Inertia (mm⁴)

c — Distance from Center (mm) for σ

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3 · Hertz Contact Stress

Ball/roller on a surface/shaft

Contact Type

F — Load (N)

R₁ — Radius 1 (mm)

R₂ — Radius 2 (mm, ∞=flat)

E — Material (GPa)

ν — Poisson's Ratio

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4 · Material Weight

Shape

Units

Diameter (mm)

Length/Height (mm)

Wall Thickness / Width (mm)

Quantity (units)

Material (g/cm³)

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5 · Bolt Tightening Torque

ISO 898-1 · K·F·d

Size

Strength Grade

K — Nut Factor (0.15-0.20)

% of Proof Load

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6 · Von Mises — Equivalent Stress

Combined bending+torsion/shear to a safety factor

σ — Normal Stress (MPa)

τ — Shear Stress (MPa)

Sy — Yield Strength (MPa)

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7 · Fatigue — Goodman Diagram

Safety factor for combined fatigue load (mean+alternating)

σa — Alternating Stress (MPa)

σm — Mean Stress (MPa)

Se — Endurance Limit (MPa)

Sut — Ultimate Strength (MPa)

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8 · Press-Fit / Shrink-Fit — Mounting Heat

ΔT required to heat the housing before press-fit assembly

Interference δ (mm, total diametral)

⌀ Nominal D (mm)

Housing Material (expansion coefficient α)

Additional Safety Margin (°C)

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9 · Bolt Circle (PCD)

Exact hole coordinates for CNC programming

PCD Diameter (mm)

Number of Holes

Start Angle (°, 0=right)

Span Angle (°, 360=full circle)

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10 · Thermal Expansion (ΔL)

Length change with temperature — assemblies across wide temp ranges

Nominal Length L (mm)

Material (α coefficient)

ΔT — Temperature Change (°C)

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11 · Natural Frequency (Shaft/Beam)

Simple beam — check resonance against motor speed

Length L (mm)

Diameter ⌀ (mm)

E — Elastic Modulus (GPa)

ρ — Density (kg/m³)

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12 · Welding Heat Input

Reference point for WPS verification

Voltage (V)

Current (A)

Travel Speed (mm/min)

Thermal Efficiency (η)

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Flow: 1 Module + Teeth → 2 Gear Pair + Ratio → 3 Ft from pair 2 ↓ → 4 Lewis Strength → 5 Planetary / Rack

1 · Gear Geometry

Module m

z — Number of Teeth

Pressure Angle α

Tooth Width b (mm)

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2 · Gear Pair ← from 1

Calculates Ft ← ← calculator 3 will use it

m (from calculator 1)

z₁ — Pinion

z₂ — Gear

P — Power (kW)

n₁ — Input RPM

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3 · Lewis Strength ← Ft from 2

m

b (mm)

Ft (N) ← from calculator 2

Y Factor (Lewis)

Kv — Load Factor

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4 · Rack & Pinion

m

z — Pinion Teeth

n — RPM

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5 · Planetary Gearbox

zS — Sun

zP — Planet

n₁ — Input RPM

P — Power (kW)

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Flow: 1 Loads Fr + Fa → 2 Equivalent P → L10h → 3 ndm Speed Check → 4 Designation Decoder

1+2 · L10h — Full Bearing Life

Calculates P from loads → L10h

C — Dynamic Load (kN)

Fr — Radial Load (N)

Fa — Axial Load (N)

e (from catalog)

Y (from catalog)

n — Speed (RPM)

Bearing Type

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3 · ndm — Speed Check

Determine whether grease suffices

d — bore (mm)

D — OD (mm)

n — RPM

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4 · Bearing Decoder

Bearing Number

Enter a bearing number

Flow: 1 Choose Material → G/E → 2 Dimensions → k + δ → 3 Stress τ/σ → 4 Wahl Check

1+2+3 · Compression/Extension Spring

d — Wire Diameter (mm)

D — Mean Diameter (mm)

n — Active Coils

G (GPa)

F — Load (N)

Lf — Free Length (mm)

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2 · Torsion Spring

d (mm)

D (mm)

n — Coils

E (GPa)

T — Torque (N·mm)

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3 · Belleville Washer

DIN 2093 — disc spring

OD — Outer Diameter (mm)

ID — Inner Diameter (mm)

t — Thickness (mm)

h₀ — Cone Height (mm)

E (GPa)

Arrangement

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Flow: 1 Measurements → Cpk → 2 Cpk → DPMO/σ → 3 MSA/GRR → 4 TUR/AQL → 5 FMEA RPN

1 · Cp / Cpk — Process Capability

USL — Upper Limit (mm)

LSL — Lower Limit (mm)

x̄ — Measurement Mean

σ — Standard Deviation

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2 · DPMO ← from Cpk

Cpk ← ← ← ↑ ← copy from 1

Cpk (from calculator 1)

Number of Opportunities (DPO)

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3 · GRR — Measurement System Analysis

MSA Gauge R&R

EV — Equipment Variation

AV — Appraiser Variation

TV — Total Variation

Tolerance — Tolerance Band

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4 · TUR — Measurement Ratio

Test Uncertainty Ratio

Tolerance — Band (mm)

U — Measurement Uncertainty (mm)

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5 · AQL — Sampling

Lot Size N

AQL (%)

Inspection Level

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6 · FMEA — RPN

S — Severity (1-10)

O — Occurrence (1-10)

D — Detection (1-10)

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Flow: 1 Material + Time → Cost → 2 BOM → Total Cost → 3 Unit Cost + Margin

1 · Part Cost — Pricing

Material Cost (₪/kg)

Part Weight (kg)

Machine Time (minutes)

Machine Cost (₪/hour)

Setup Time (minutes)

Production Quantity

Overhead (%)

Margin (%)

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2 · BOM — Materials + Labor

Material Cost (₪)

Direct Labor Cost (₪)

Purchased Parts (₪)

Overhead (%)

Scrap %

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3 · Unit Cost ← from 1+2

Production Cost (₪) ← from 1

Target Price (₪)

Unit Quantity

Shipping Cost per Unit (₪)

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4 · Coating Surface Area → Cost

Surface area by shape → direct conversion to coating cost

Shape

Length (mm)

Diameter (mm)

Price per Unit Area ($/cm²)

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Hydraulics — Pressure/Flow

Calculation Type

Pressure P (bar)

Piston Diameter (mm)

Flow Q (L/min)

η — Efficiency (%)

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O-Ring — Squeeze and Groove

d — Cross-Section Diameter (mm)

ID — O-Ring Inner Diameter (mm)

Application

O-Ring Material

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Faraday — Electrochemical Coating

I — Current (A)

t — Time (minutes)

Coating Process

Coating Area (cm²)

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Loctite — Break-Loose Torque

Threadlocker Break-Loose Torque

Loctite Product

Bolt Size

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Bonding — Force and Area

Lap Joint Shear Strength

Adhesive Type

Bond Area (mm²)

SF — Safety Factor

Required Load (N)

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STI Drill — Helicoil

Size

Depth

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Rivet Nut — Hole Size

Size

Type

Material Thickness (mm)

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1 · Fit Limits

Calculate hole/shaft limits and fit type from ES/EI/es/ei

Nominal Size (mm)

Hole Upper Deviation ES (μm)

Hole Lower Deviation EI (μm)

Shaft Upper Deviation es (μm)

Shaft Lower Deviation ei (μm)

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2 · Tolerance Stack-up

Worst Case vs. RSS — up to 5 links (0=unused)

Link 1 (mm)

Link 2 (mm)

Link 3 (mm)

Link 4 (mm)

Link 5 (mm)

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3 · GD&T Position — MMC Bonus

Calculating tolerance bonus and total tolerance zone

⌀ Basic Tolerance (mm) — ⊕⌀Ø A|B|C

MMC — Maximum Material Condition Size (mm)

Actual Measured Size (mm)

Feature Type

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4 · Engineering Unit Converter

Length · Pressure/Stress · Torque · Temperature

Length: mm ↔ inch

Stress: MPa ↔ psi

Torque: N·m ↔ lbf·ft

Temp: °C ↔ °F