-------- | ---- | ----------- | ------------------- | | kips (kip) | kN | 4.448 | 50 kip = 222.4 kN | | kN | kips | 0.2248 | 200 kN = 44.96 kip | | kips | lbf | 1,000 | 10 kip = 10,000 lbf | | kN | N | 1,000 | 25 kN = 25,000 N | | metric tons | kN | 9.807 | 10 t = 98.07 kN | | US tons | kips | 2.0 | 5 ton = 10 kip |

Stress and pressure conversions

From To Multiply By Example
ksi MPa 6.895 50 ksi = 344.7 MPa
MPa ksi 0.1450 250 MPa = 36.26 ksi
psi MPa 0.006895 36,000 psi = 248.2 MPa
psf kPa 0.04788 100 psf = 4.788 kPa
ksf kPa 47.88 2 ksf = 95.76 kPa
MPa N/mm² 1.0 345 MPa = 345 N/mm²

Length and area conversions

From To Multiply By Example
ft m 0.3048 30 ft = 9.144 m
m ft 3.2808 10 m = 32.81 ft
in mm 25.4 12 in = 304.8 mm
mm in 0.03937 200 mm = 7.874 in
in² mm² 645.2 10 in² = 6,452 mm²
in⁴ mm⁴ 416,231 448 in⁴ = 186,471,000 mm⁴
in³ mm³ 16,387 64 in³ = 1,048,768 mm³
ft² m² 0.09290 1,000 ft² = 92.90 m²

Moment and distributed load conversions

From To Multiply By Example
kip-ft kN-m 1.3558 200 kip-ft = 271.2 kN-m
kN-m kip-ft 0.7376 300 kN-m = 221.3 kip-ft
kip-in N-mm 112,984 12,000 kip-in = 1,355,818 N-mm
klf kN/m 14.59 2.0 klf = 29.19 kN/m
kN/m klf 0.06852 30 kN/m = 2.056 klf
psf kN/m² 0.04788 50 psf = 2.394 kN/m²
kN/m² psf 20.88 5.0 kN/m² = 104.4 psf

Temperature conversions

From To Formula Example
Fahrenheit Celsius C = (F - 32) × 5/9 70°F = 21.1°C
Celsius Fahrenheit F = C × 9/5 + 32 20°C = 68°F
Fahrenheit Kelvin K = (F - 32) × 5/9 + 273.15 70°F = 294.3 K

Density and mass conversions

From To Multiply By Example
lb/ft³ kN/m³ 0.1571 490 lb/ft³ = 76.98 kN/m³
lb/ft³ kg/m³ 16.018 490 lb/ft³ = 7,849 kg/m³
lb/ft kg/m 1.488 35 lb/ft = 52.09 kg/m

Common Steel Design Values — Quick Reference

Material properties in both unit systems

Property Imperial Metric
Steel density 490 lb/ft³ 7,850 kg/m³
E (carbon steel) 29,000 ksi 200,000 MPa
Fy (A36) 36 ksi 248 MPa
Fy (A572 Gr 50 / A992) 50 ksi 345 MPa
Fu (A992) 65 ksi 450 MPa
Fu (A325 bolt) 120 ksi 827 MPa
Fu (A490 bolt) 150 ksi 1,034 MPa
Concrete f'c (typical) 4,000 psi 27.6 MPa
Concrete f'c (high) 8,000 psi 55.2 MPa

Standard deflection limits

Member Limit Metric Equivalent
Floor beam (live load) L/360 L/360 (same ratio)
Roof beam (live load) L/240 L/240
Floor beam (total load) L/240 L/240
Cantilever (live load) L/180 L/180
Brittle finishes L/480 L/480

Worked Example — Converting a Beam Design from Imperial to Metric

Problem: A W16x36 floor beam was designed using AISC 360 in imperial units. Convert the key design values to SI for comparison with an AS 4100 check.

Step 1 — Section properties

W16x36 (imperial):  Ix = 448 in⁴,  Sx = 56.5 in³,  Zx = 64.0 in³
                    d = 15.86 in,  bf = 6.985 in,  tw = 0.295 in

Convert to metric:
  Ix = 448 × 416,231 = 186,471,488 mm⁴ = 186.5 × 10⁶ mm⁴
  Sx = 56.5 × 16,387 = 925,866 mm³ = 926 × 10³ mm³
  Zx = 64.0 × 16,387 = 1,048,768 mm³ = 1,049 × 10³ mm³
  d = 15.86 × 25.4 = 402.8 mm
  bf = 6.985 × 25.4 = 177.4 mm
  tw = 0.295 × 25.4 = 7.49 mm

Step 2 — Loading and moment

Service load: w = 2.0 klf = 2.0 × 14.59 = 29.18 kN/m
Span: L = 20 ft = 20 × 0.3048 = 6.096 m

Service moment: M = wL²/8 = 29.18 × 6.096² / 8 = 29.18 × 37.16 / 8 = 135.6 kN-m
  Check: 100 kip-ft × 1.3558 = 135.6 kN-m ✓

LRFD factored load: wu = 3.2 klf = 3.2 × 14.59 = 46.69 kN/m
LRFD moment: Mu = 46.69 × 37.16 / 8 = 216.9 kN-m
  Check: 160 kip-ft × 1.3558 = 216.9 kN-m ✓

Step 3 — Capacity

PhiMn = 240 kip-ft = 240 × 1.3558 = 325.4 kN-m
Steel: E = 200,000 MPa, Fy = 345 MPa
Section: d = 402.8 mm, Zx = 1,049 × 10³ mm³
phiMn = 0.90 × 345 × 1,049,000 = 325,701,000 N-mm = 325.7 kN-m ✓

The conversion checks out: both unit systems give the same result when the conversion factors are applied correctly.

Common pitfalls and how to avoid confusion

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Frequently Asked Questions

What are the most common unit pitfalls when mixing metric and imperial structural calculations? The most frequently confused pairs are MPa vs ksi (stress), kN vs kip (force), and kN·m vs kip·ft (moment). A MPa is a megapascal (10⁶ N/m²) while ksi is kips per square inch; the conversion is 1 ksi = 6.895 MPa. Mixing these without conversion in a formula produces errors of approximately 7× in stress results. Similarly, 1 kip = 4.448 kN, so substituting kN values into a kip-based formula without conversion inflates forces by a factor of roughly 4.5.

How do I convert between kN·m and kip·ft for bending moments? The exact conversion is 1 kip·ft = 1.3558 kN·m, or equivalently 1 kN·m = 0.7376 kip·ft. A bending moment of 100 kip·ft equals 135.6 kN·m; a design moment of 200 kN·m equals 147.5 kip·ft. This conversion is needed constantly when comparing AISC (imperial) design aids against AS 4100 or EN 1993 (SI) calculations, or when checking a supplier’s load table against a design performed in different units.

What is the exact conversion between ksi and MPa? 1 ksi (kip per square inch) = 6.8948 MPa exactly (based on 1 lbf = 4.44822 N and 1 inch = 25.4 mm). In practice 6.895 MPa is used. Common structural values: A36 yield strength Fy = 36 ksi = 248 MPa; A572 Gr.50 Fy = 50 ksi = 345 MPa; A325 bolt Fnt = 90 ksi = 620 MPa. Memorising a few anchor values makes it easy to sanity-check converted stress figures in the field.

When should I use imperial units versus SI units on a project? The governing standard and the project specification dictate which unit system to use — AISC 360 is published in both customary (kip, in) and SI (kN, mm) editions, while AS 4100 and EN 1993 are SI-only. On international projects or joint ventures, explicitly agreeing on a single unit system at the outset prevents mixed-unit errors in transmitted calculations. When a calculation package spans both systems (for example, US-sourced material specs combined with SI drawings), maintain a dedicated conversion table at the front of the calculation and always label every numeric value with its unit.

How do unit consistency errors cause structural calculation failures? Unit errors typically manifest as results that are off by a fixed factor — 1000× (kN vs N), 6.895× (ksi vs MPa), or 304.8× (ft vs mm) — which can make an under-designed member appear over-capacity or vice versa. A classic case is entering a force in kN into a formula that expects kips: the result is approximately 4.4× smaller than the correct answer, making the connection appear to have 4× more capacity than it actually does. Dimensional analysis (checking that numerator and denominator units cancel correctly) is the single most effective technique for catching these errors before they reach design decisions.

What are the key area and section modulus unit conversions for steel design? 1 in² = 645.2 mm²; 1 in⁴ = 416,231 mm⁴; 1 in³ = 16,387 mm³. These conversions matter when using tabulated AISC section properties (in in² and in⁴) in SI-based capacity formulas. For example, the elastic section modulus S of a W18×35 is 57.6 in³ = 944,000 mm³. A factor of 10⁶ difference between mm⁴ and cm⁴ (1 cm⁴ = 10⁴ mm⁴) is another frequent source of error when comparing European and Australian section tables, which often list I in cm⁴, against North American tables listed in in⁴ or mm⁴.

Related pages

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