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

Open the full material weight calculator page: step-by-step working, formulas, FAQ and free PDF report →

B H L tw tf W W = ρ · A · L · g A = section area Shapes

Input Parameters

mm
mm
mm
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

Open the full beam deflection calculator page: step-by-step working, formulas, FAQ and free PDF report →

F δ L E · I beam stiffness

Input Parameters

mm
mm
mm
mm
— click Compute I
N or N/m
m
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

Open the full bolt torque calculator page: step-by-step working, formulas, FAQ and free PDF report →

T Fc Fc Fi d L p T = K · Fᵢ · d Fᵢ = % · Sₚ · Aₜ K ≈ 0.2 (dry steel) μ sets the K factor

Input Parameters

% (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

Open the full ball screw calculator page: step-by-step working, formulas, FAQ and free PDF report →

Servo Fixed Supported NUT l Dm Fa v Screw length Ls Balls

Step 1, Application Loads & Motion

Axial Force
N
Motion Profile
m/s
hours
Screw Geometry
mm
mm
mm (≈ 0.85·Dm)
mm
Support & Efficiency
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

Open the full linear guide life calculator page: step-by-step working, formulas, FAQ and free PDF report →

Fz Fx Fy My W Stroke ls Rail 1 Rail 2

Step 1, Guide & Load Data

Block Rating
N per block
N per block
Applied Loads on Table
N (↓ positive)
N
N
N·m
Layout
mm (between rail centres)
mm (between block centres)
Motion & Correction Factors
mm
strokes/min
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

Open the full servo motor sizing calculator page: step-by-step working, formulas, FAQ and free PDF report →

M Servo Jm i : 1 Reducer Load JL T ω accel constant speed decel t Inertia ratio JL / (i² · Jm) ≤ 10 Accel torque T = J · α + Tf

Input Parameters

kg·m²
RPM
s
N·m
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

Open the full shaft diameter calculator page: step-by-step working, formulas, FAQ and free PDF report →

Gear F Fa T Mmax BMD d/2 Critical section Kt keyway

Step 1, Applied Loads

Moments & Loads at Critical Section
N·m
N·m
N (tensile +, compressive −)
Material Properties
Fatigue Modifying Factors
Keyway ≈1.5 · Shoulder ≈1.5–3.0
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)

Open the full bearing life calculator page: step-by-step working, formulas, FAQ and free PDF report →

n Fr C, C₀ ratings Shaft Fr Fa P = X·Fr + Y·Fa L₁₀ = (C / P)³ × 10⁶ rev

Input Parameters

N
N
N
RPM
Radial factor (ISO)
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

Open the full cutting speed and feed calculator page: step-by-step working, formulas, FAQ and free PDF report →

n (rpm) Tool f (feed) ap D Vc Vc = π · D · n / 1000

Input Parameters

m/min
mm
mm/rev
mm

Results

Enter values and click Calculate

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

Sheet Metal Bend Allowance Calculator

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

Open the full sheet metal bend allowance calculator page: step-by-step working, formulas, FAQ and free PDF report →

neutral axis at K·t R θ t L1 L2 L1 BA L2 Flat blank BA = θ · (R + K·t) θ in degrees

Input Parameters

mm
mm
degrees
mm
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

Open the full pneumatic cylinder force calculator page: step-by-step working, formulas, FAQ and free PDF report →

P1 Air in Exhaust Fext D d Fext = P · πD²/4 · η Fret = P · π(D² − d²)/4 · η

Input Parameters

mm
mm
bar
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

Open the full belt conveyor power calculator page: step-by-step working, formulas, FAQ and free PDF report →

M Drive Tail v m (kg/m) θ H

Input Parameters

m
m/s
kg/m
kg/m
0.02–0.05
m (0 = flat)
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

Open the full gear ratio calculator page: step-by-step working, formulas, FAQ and free PDF report →

n1 Driver Z1 Driven Z2 n2 a i = Z2 / Z1 n2 = n1 / i T2 = T1·i·η a = m(Z₁+Z₂)/2

Input Parameters

teeth
teeth
RPM
N·m
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

Open the full beam bending stress calculator page: step-by-step working, formulas, FAQ and free PDF report →

N.A. y b σc σt Bending τmax Shear σ = M · y / Iτ = V · Q / (I · b)

Input Parameters

N·m
N
m⁴
m
m³
m
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

Open the full fabrication cost calculator page: step-by-step working, formulas, FAQ and free PDF report →

35% 40% 15% 10% Cost split Material ~35% Labour ~40% Overhead ~15% Finishing ~10% TOTAL ESTIMATE ₹ 0 Rough order of magnitude only

Input Parameters

kg
per kg
hours
per hour
hours
per hour
flat
% on subtotal
%

Results

Enter values and click Calculate

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