15 Engineering Calculators

Interactive Engineering Calculators

Professional-grade calculators with live engineering schematics. Select a tool, enter parameters, and get instant results.

Material Weight Calculator

Calculate mass and weight of common structural shapes and materials

Input Parameters

Shape

Material

Width (B)

mm

Height (H)

mm

Wall Thickness

mm

Length (L)

mm

Results

Enter values and click Calculate

Mass = ρ × Volume · Weight = Mass × 9.81

Beam Deflection Calculator

Max deflection, bending moment and bending stress for standard beam cases

Input Parameters

Support Type

Beam Profile

Flange Width (B)

mm

Total Height (H)

mm

Web Thickness (tw)

mm

Flange Thk (tf)

mm

Width (B)

mm

Height (H)

mm

Wall Thickness (t)

mm

Diameter (D)

mm

Outer Dia (D)

mm

Inner Dia (d)

mm

Width (B)

mm

Height (H)

mm

Moment of Inertia (I)

m⁴

Moment of Inertia (I) — computed

— click Compute I

Load (F or w)

N or N/m

Beam Length (L)

m

Elastic Modulus (E)

Pa — Steel 200 GPa · Al 69 GPa · SS 193 GPa

Deflection Results

Enter values and click Calculate

Bending Moment & Stress

—

SC: δ=PL³/48EI · SU: δ=5wL⁴/384EI · CE: δ=PL³/3EI · CU: δ=wL⁴/8EI

Bolt Torque Calculator

Target tightening torque and clamp force for metric fasteners

Input Parameters

Bolt Size (Metric)

Bolt Grade

Friction Coefficient (μ)

Target Preload (% of Proof)

% (75% typical)

Results

Select bolt and click Calculate

T = K · F · d where K ≈ μ / (2 cos 30°) + p/(πd) + μ_n·d_n/(2d) · Nut factor method

Ball Screw Selection Calculator

Full engineering selection: axial load → Dm·n → critical speed → column buckling → Ca → torque → power

Step 1 — Application Loads & Motion

Axial Force

Max Axial Load (Fa)

N

Load Type

Motion Profile

Linear Speed (v)

m/s

Required Life

hours

Screw Geometry

Nominal Dia (Dm)

mm

Lead / Pitch (l)

mm

Root Dia (Dr)

mm (≈ 0.85·Dm)

Screw Length (Ls)

mm

Support & Efficiency

End Support

Drive Efficiency (η)

0.85–0.95 typical

Standards: JIS B 1192 · ISO 3408 | n_crit = λ × (Dr/Ls²) × 60×10⁷ / π | Fbuck = λ × (π²·E·I) / Ls² | Ca_req = Fa_dyn × (Lm/10⁶)^(1/3) | T = Fa·l / (2π·η·1000)

Linear Guide Life Calculator

Full ISO 14728 calculation: load on each rail → equivalent load → L10 life with all correction factors

Step 1 — Guide & Load Data

Block Rating

Dynamic Load Rating (C)

N per block

Static Load Rating (C₀)

N per block

Applied Loads on Table

Vertical Load (Fz)

N (↓ positive)

Lateral Load (Fy)

N

Travel-Dir Load (Fx)

N

Overturning Moment (My)

N·m

Layout

No. of Rails

Blocks per Rail

Rail Span (W)

mm (between rail centres)

Block Span (Lb)

mm (between block centres)

Motion & Correction Factors

Stroke Length (ls)

mm

Cycles / min

strokes/min

Hardness Factor (fH)

Temperature Factor (fT)

Contact Factor (fc)

Standard: ISO 14728 | P_block = (Fz + My/Lb) / (n_rails × n_blocks) | L₁₀(km) = (fH·fT·fc·C / P)³ × 50 | fs = C₀ / P ≥ 2.0 recommended

Servo Motor Sizing Calculator

Required torque and power for trapezoidal motion profiles

Input Parameters

Load Inertia (JL)

kg·m²

Target Speed

RPM

Accel Time (tₐ)

s

Friction Torque

N·m

External Load Torque

N·m

Results

Enter values and click Calculate

Tacc = J·ω/tₐ · Ttotal = Tacc+Tf+Tload · P = T·ω

Shaft Diameter Calculator

Full ASME DE-Goodman fatigue analysis: combined bending + torsion + axial → min diameter with safety factor

Step 1 — Applied Loads

Moments & Loads at Critical Section

Bending Moment (M)

N·m

Torsional Moment (T)

N·m

Axial Force (Fa)

N (tensile +, compressive −)

Material Properties

Material / Grade

Fatigue Modifying Factors

Surface Factor (ka)

Size Factor (kb)

Load Factor (kc)

Stress Concentration (Kt)

Keyway ≈1.5 · Shoulder ≈1.5–3.0

Loading Type

Design Safety Factor (N)

2–3 typical

Method: ASME DE-Goodman | Se = 0.5·Sut × ka·kb·kc | d = (16N/π)^⅓ × [4(KtMa/Se)² + 3(Ta/Se + Tm/Sut)²]^(1/6) | Standard sizes per IS 2062

Bearing Life Calculator

L10 rated life for ball and roller bearings (ISO 281)

Input Parameters

Bearing Type

Dynamic Load Rating (C)

N

Radial Load (Fr)

N

Axial Load (Fa)

N

Speed (n)

RPM

X Factor

Radial factor (ISO)

Y Factor

Axial factor (ISO)

Results

Enter values and click Calculate

P = X·Fr + Y·Fa · L₁₀ = (C/P)^p × 10⁶ rev · Lh = L₁₀/(60·n)

Cutting Speed & Feed Calculator

Spindle RPM, feed rate and material removal rate for turning and milling

Input Parameters

Operation Type

Material

Cutting Speed (Vc)

m/min

Tool / Work Dia (D)

mm

Feed per Rev (f)

mm/rev

Depth of Cut (ap)

mm

Results

Enter values and click Calculate

n = 1000·Vc / (π·D) · Vf = f·n · MRR = Vc·f·ap (mm³/min)

Sheet Metal Bend Allowance Calculator

Flat blank length, bend allowance and K-factor for press brake bending

Input Parameters

Material

Sheet Thickness (t)

mm

Inside Bend Radius (R)

mm

Bend Angle (θ)

degrees

Leg Length 1 (L1)

mm

Leg Length 2 (L2)

mm

Results

Enter values and click Calculate

BA = (π/180)·θ·(R + K·t) · BD = 2·(R+t)·tan(θ/2) − BA · Blank = L1 + L2 + BA

Pneumatic Cylinder Force Calculator

Extension and retraction forces for double-acting cylinders

Input Parameters

Bore Diameter (D)

mm

Rod Diameter (d)

mm

Pressure (P₁)

bar

Efficiency (η)

0.80–0.95

Results

Enter values and click Calculate

Extend: F = π/4·D²·P·η · Retract: F = π/4·(D²−d²)·P·η

Conveyor Power Calculator

Motor power for belt conveyors — horizontal and inclined

Input Parameters

Conveyor Length

m

Belt Speed (v)

m/s

Material Load

kg/m

Belt + Idler Weight

kg/m

Friction Coeff (μ)

0.02–0.05

Incline Height (H)

m (0 = flat)

Drive Efficiency (η)

0.80–0.95

Results

Enter values and click Calculate

Ph = μ·L·g·(qm+qb)·v · Plift = qm·g·H·v · Pmotor = (Ph+Plift)/η

Gear Ratio Calculator

Output speed, torque and efficiency for spur, helical and worm gear sets

Input Parameters

Input Method

Driver Teeth (Z₁)

teeth

Driven Teeth (Z₂)

teeth

Input Speed (n₁)

RPM

Input Torque (T₁)

N·m

Gear Efficiency (η)

Spur ≈ 0.97 · Helical ≈ 0.98 · Worm ≈ 0.70–0.90

Results

Enter values and click Calculate

i = Z₂/Z₁ · n₂ = n₁/i · T₂ = T₁·i·η · P = T·ω

Beam Stress Calculator

Bending stress, shear stress and combined von Mises stress at any section

Input Parameters

Bending Moment (M)

N·m

Shear Force (V)

N

Moment of Inertia (I)

m⁴

Distance to Extreme Fibre (y)

m

First Moment of Area (Q)

m³

Web Thickness (b)

m

Yield Strength (Sy)

Pa — Mild steel ≈ 250 MPa

Results

Enter values and click Calculate

σ = M·y/I · τ = V·Q/(I·b) · σ_vm = √(σ²+3τ²) · FoS = Sy/σ_vm

Fabrication Cost Estimator

Rough order-of-magnitude cost estimate for machined and fabricated parts

Input Parameters

Currency

Material Weight

kg

Material Rate

per kg

Machining Hours

hours

Machine Rate

per hour

Labour Hours

hours

Labour Rate

per hour

Finishing Cost

flat

Overhead %

% on subtotal

Profit Margin %

%

Results

Enter values and click Calculate

ROM estimate only. Actual costs depend on tolerances, batch size, supplier, and market rates.