-------- | ---- | ----------- | ------------------- | | 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/mmÃÂò | 1.0 | 345 MPa = 345 N/mmÃÂò |
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 |
| inÃÂò | mmÃÂò | 645.2 | 10 inÃÂò = 6,452 mmÃÂò |
| inâÃÂô | mmâÃÂô | 416,231 | 448 inâÃÂô = 186,471,000 mmâÃÂô |
| inÃÂó | mmÃÂó | 16,387 | 64 inÃÂó = 1,048,768 mmÃÂó |
| ftÃÂò | mÃÂò | 0.09290 | 1,000 ftÃÂò = 92.90 mÃÂò |
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/mÃÂò | 0.04788 | 50 psf = 2.394 kN/mÃÂò |
| kN/mÃÂò | psf | 20.88 | 5.0 kN/mÃÂò = 104.4 psf |
Temperature conversions
| From | To | Formula | Example |
|---|---|---|---|
| Fahrenheit | Celsius | C = (F - 32) ÃÂà5/9 | 70ÃÂðF = 21.1ÃÂðC |
| Celsius | Fahrenheit | F = C ÃÂà9/5 + 32 | 20ÃÂðC = 68ÃÂðF |
| Fahrenheit | Kelvin | K = (F - 32) ÃÂà5/9 + 273.15 | 70ÃÂðF = 294.3 K |
Density and mass conversions
| From | To | Multiply By | Example |
|---|---|---|---|
| lb/ftÃÂó | kN/mÃÂó | 0.1571 | 490 lb/ftÃÂó = 76.98 kN/mÃÂó |
| lb/ftÃÂó | kg/mÃÂó | 16.018 | 490 lb/ftÃÂó = 7,849 kg/mÃÂó |
| 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/ftÃÂó | 7,850 kg/mÃÂó |
| 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 inâÃÂô, Sx = 56.5 inÃÂó, Zx = 64.0 inÃÂó
d = 15.86 in, bf = 6.985 in, tw = 0.295 in
Convert to metric:
Ix = 448 ÃÂà416,231 = 186,471,488 mmâÃÂô = 186.5 ÃÂà10âÃÂö mmâÃÂô
Sx = 56.5 ÃÂà16,387 = 925,866 mmÃÂó = 926 ÃÂà10ÃÂó mmÃÂó
Zx = 64.0 ÃÂà16,387 = 1,048,768 mmÃÂó = 1,049 ÃÂà10ÃÂó mmÃÂó
d = 15.86 ÃÂÃÂ 25.4 = 402.8 mm
bf = 6.985 ÃÂÃÂ 25.4 = 177.4 mm
tw = 0.295 ÃÂÃÂ 25.4 = 7.49 mm
Step 2 — Loading and moment
Service load: w = 2.0 klf = 2.0 ÃÂÃÂ 14.59 = 29.18 kN/m
Span: L = 20 ft = 20 ÃÂÃÂ 0.3048 = 6.096 m
Service moment: M = wLÃÂò/8 = 29.18 ÃÂà6.096ÃÂò / 8 = 29.18 ÃÂà37.16 / 8 = 135.6 kN-m
Check: 100 kip-ft ÃÂà1.3558 = 135.6 kN-m âÃÂÃÂ
LRFD factored load: wu = 3.2 klf = 3.2 ÃÂÃÂ 14.59 = 46.69 kN/m
LRFD moment: Mu = 46.69 ÃÂÃÂ 37.16 / 8 = 216.9 kN-m
Check: 160 kip-ft ÃÂà1.3558 = 216.9 kN-m âÃÂÃÂ
Step 3 — Capacity
PhiMn = 240 kip-ft = 240 ÃÂÃÂ 1.3558 = 325.4 kN-m
Steel: E = 200,000 MPa, Fy = 345 MPa
Section: d = 402.8 mm, Zx = 1,049 ÃÂà10ÃÂó mmÃÂó
phiMn = 0.90 ÃÂà345 ÃÂà1,049,000 = 325,701,000 N-mm = 325.7 kN-m âÃÂÃÂ
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
- Hidden assumptions: some checks require assumptions that are not explicit in the UI (e.g., end restraint idealization, load distribution, slip requirements). If you canâÃÂÃÂt state the assumption, do not treat the result as verified.
- Standard mismatch: names like âÃÂÃÂyield strengthâÃÂàand âÃÂÃÂultimate strengthâÃÂàare universal, but how they are used in a resistance model is standard-specific.
- Axis confusion: major/minor axis properties, sign conventions, and local coordinate systems can flip a result.
- Detailing constraints: minimum edge distances, minimum weld sizes, and installation constraints often govern before a strength limit state does.
- Over-trusting a single ratio: a utilization < 1.0 does not prove the detail is acceptable; it only indicates the evaluated checks passed under the toolâÃÂÃÂs assumptions.
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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 kNÃÂ÷m vs kipÃÂ÷ft (moment). A MPa is a megapascal (10âÃÂö N/mÃÂò) 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 7ÃÂàin 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 kNÃÂ÷m and kipÃÂ÷ft for bending moments? The exact conversion is 1 kipÃÂ÷ft = 1.3558 kNÃÂ÷m, or equivalently 1 kNÃÂ÷m = 0.7376 kipÃÂ÷ft. A bending moment of 100 kipÃÂ÷ft equals 135.6 kNÃÂ÷m; a design moment of 200 kNÃÂ÷m equals 147.5 kipÃÂ÷ft. This conversion is needed constantly when comparing AISC (imperial) design aids against AS 4100 or EN 1993 (SI) calculations, or when checking a supplierâÃÂÃÂs 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 — 1000ÃÂÃÂ (kN vs N), 6.895ÃÂÃÂ (ksi vs MPa), or 304.8ÃÂÃÂ (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 4.4ÃÂÃÂ smaller than the correct answer, making the connection appear to have 4ÃÂÃÂ 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 inÃÂò = 645.2 mmÃÂò; 1 inâÃÂô = 416,231 mmâÃÂô; 1 inÃÂó = 16,387 mmÃÂó. These conversions matter when using tabulated AISC section properties (in inÃÂò and inâÃÂô) in SI-based capacity formulas. For example, the elastic section modulus S of a W18ÃÂÃÂ35 is 57.6 inÃÂó = 944,000 mmÃÂó. A factor of 10âÃÂö difference between mmâÃÂô and cmâÃÂô (1 cmâÃÂô = 10âÃÂô mmâÃÂô) is another frequent source of error when comparing European and Australian section tables, which often list I in cmâÃÂô, against North American tables listed in inâÃÂô or mmâÃÂô.
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Disclaimer (educational use only)
This page is provided for general technical information and educational use only. It does not constitute professional engineering advice, a design service, or a substitute for an independent review by a qualified structural engineer. Any calculations, outputs, examples, and workflows discussed here are simplified descriptions intended to support understanding and preliminary estimation.
All real-world structural design depends on project-specific factors (loads, combinations, stability, detailing, fabrication, erection, tolerances, site conditions, and the governing standard and project specification). You are responsible for verifying inputs, validating results with an independent method, checking constructability and code compliance, and obtaining professional sign-off where required.
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