Bolt Root and Tensile Stress Area
Root area and tensile stress area per bolt size — metric M 14 to M 100 (coarse series) and inch 1/2 to 4 in. — the two areas every bolt load-capacity and pretension calculation starts from.
Last updated: 2026-11
Specifications
Two areas matter when you size a bolted joint, and they are not the same. The tensile stress area is the effective area a threaded bolt carries tension over: it blends the thread root diameter and pitch diameter so that the weaker threaded section and the shank can be compared on one number. The root area is the smaller area at the thread root itself — the section where fatigue cracks start — and conservative calculations size the bolt on it. This reference tabulates both per nominal size: metric M 14 through M 100 on the coarse series (e.g. M24-3: root 317.3 mm 2, tensile stress 352.5 mm 2) and inch sizes 1/2 through 4 in. with their threads-per-inch (e.g. 1-8: root 0.5509 in 2, tensile stress 0.6057 in 2). Above M 39 / 1 in. the coarse pitch stays constant while diameter grows, so the areas climb steeply — root area from 976.6 mm 2 at M 39 to 7253 mm 2 at M 100. Use the tensile stress area with the material's proof or yield strength for joint pretension, the root area where fatigue governs. Head dimensions, lengths and finishes are not tabulated here — per RFQ against the bolt's dimensional standard.
| Metric range | M 14 to M 100, coarse series designations (M14-2 ... M100-3), 21 sizes |
|---|---|
| Inch range | 1/2 to 4 in., 13-8 threads per inch, 21 sizes |
| Columns per size | Root area and tensile stress area, mm 2 (metric) / in. 2 (inch) |
| Worked example | M 16: root 141.0 mm 2, tensile stress area 156.7 mm 2; 3/4-10: root 0.3019 in 2, tensile stress area 0.3345 in 2 |
| Not tabulated | Property-class strengths to pair with the areas, head dimensions, lengths, finishes — per RFQ |
| Bolt Size, Basic Thread Designation [Notes(1),(2)] | Root Area, mm 2 | Tensile Stress Area, mm 2 [Note(3)] |
|---|---|---|
| M14-2 | 102.1 | 115.4 |
| M16-2 | 141.0 | 156.7 |
| M20-2.5 | 220.4 | 244.8 |
| M24-3 | 317.3 | 352.5 |
| M27-3 | 419.1 | 459.4 |
| M30-3 | 535.0 | 580.4 |
| M33-3 | 665.1 | 715.6 |
| M36-3 | 809.3 | 864.9 |
| M39-3 | 976.6 | 1028 |
| M42-3 | 1140 | 1206 |
| M45-3 | 1327 | 1398 |
| M48-3 | 1527 | 1604 |
| M52-3 | 1817 | 1900 |
| M56-3 | 2132 | 2222 |
| M64-3 | 2837 | 2940 |
| M70-3 | 3432 | 3545 |
| M76-3 | 4083 | 4207 |
| M82-3 | 4791 | 4925 |
| M90-3 | 5822 | 5970 |
| M95-3 | 6518 | 6674 |
| M100-3 | 7253 | 7418 |
| Bolt Size, in. | Threads per Inch | Root Area, in. 2 | Tensile Stress Area ,in. 2 [Note(3)] | |
|---|---|---|---|---|
| 1/2 | 13 | 0.1257 | 0.1419 | |
| 5/8 | 11 | 0.2017 | 0.2260 | |
| 3/4 | 10 | 0.3019 | 0.3345 | |
| 7/8 | 9 | 0.4192 | 0.4617 | |
| 1 | 8 | 0.5509 | 0.6057 | |
| 1 - 1/8 | 8 | 0.7276 | 0.7905 | |
| 1 - 1/4 | 8 | 0.9289 | 0.9997 | |
| 1 - 3/8 | 8 | 1.155 | 1.234 | |
| 1 - 1/2 | 8 | 1.405 | 1.492 | |
| 1 - 5/8 | 8 | 1.680 | 1.775 | |
| 1 - 3/4 | 8 | 1.979 | 2.082 | |
| 1 - 7/8 | 8 | 2.303 | 2.414 | |
| 2 | 8 | 2.652 | 2.771 | |
| 2 - 1/4 | 8 | 3.422 | 3.557 | |
| 2 - 1/2 | 8 | 4.291 | 4.442 | |
| 2 - 3/4 | 8 | 5.258 | 5.425 | |
| 3 | 8 | 6.324 | 6.506 | |
| 3 - 1/4 | 8 | 7.487 | 7.686 | |
| 3 - 1/2 | 8 | 8.748 | 8.963 | |
| 3 - 3/4 | 8 | 10.11 | 10.34 | |
| 4 | 8 | 11.57 | 11.81 |
Materials
- The areas are geometry, not strength — pick the strength from the property class or material spec your joint calls out (ISO 898-1, ASTM A307/A325/A490, etc.) and multiply. When you send an RFQ for high-strength or fatigue-critical bolts, state the size, the stress area basis your calculation used, and the required class so the supply can be quoted against a matching certificate
Ordering & documentation
Documents
Shipments are backed by Mill Test Certificate (MTC), Dimensional Report, Salt Spray Test Report on request, with full batch traceability from raw material to finished product. Quality management follows the owner-confirmed compliance list: ISO 9001:2015, RoHS, REACH. Exact document sets are confirmed on the order.
Quotation
- The fastener family (Bolt Root and Tensile Stress Area) plus the standard designation from your drawing — DIN / ISO / JIS / ASTM / ANSI, or a drawing for custom parts.
- Size (diameter and length), thread type (metric or inch), property class or grade, and coating or finish.
- Quantity per size and your target delivery date.
- Destination country, and any required documents (for example a mill test certificate) so the quote includes them.
Sample & supply
Minimum order quantity is 1,000–10,000 pieces depending on size. Stock items run 3–7 days. High-strength and custom parts run 15–25 days. Quantities or variants outside the standard range are confirmed at quotation.
Storage & shipping
Parts are packed for export and shipped factory-direct to buyers in Europe, Asia, the Americas and the Middle East. Store fasteners dry and protected until installation, and keep coated parts in their packaging until use; specific packing and preservation requirements can be stated on the order and confirmed at quotation.
Frequently asked questions
Which area should I use for a bolted-joint calculation — root or tensile stress area?
For static pretension and clamp-load calculations, the tensile stress area: it is the standard effective area for a threaded bolt in tension and is what torque-to-preload tables assume. For fatigue assessment, work from the root area, because the root is the stress-concentrated section where cracks initiate — comparing the root area of the threaded section against the full shank area also tells you whether the bolt will yield in the shank or at the threads first. The two columns in this table are roughly 8-10% apart in the metric range (e.g. M 16: 141.0 vs 156.7 mm 2), so using the wrong one shifts a capacity estimate by that much. If the joint is governed by shear, bearing or a code basis (AISC, Eurocode, BS 5950 legacy data on this site), use that code's own areas and rules instead.
Why does the inch table stop changing threads per inch above 1 in.?
Because the tabulated inch series is the coarse 8-UNC thread from 1 in. upward: large-diameter coarse threads keep 8 threads per inch all the way to 4 in., so only the areas grow with diameter (root 0.5509 in 2 at 1 in. against 11.57 in 2 at 4 in.). This matches how stock inch bolts are supplied — an 8-UN thread on large coarse-series sizes. If your joint specifies 8-UN specifically, fine-pitch (UNF) or 8-thread heavy-duty practice, confirm the thread callout on the drawing and quote the size with it; this page carries the tabulated series only, and special pitches are per RFQ.
Related knowledge
- What Bolt Property Classes 8.8, 10.9 and 12.9 Encode — and When High Strength Stops Being the Right Choice
- Bolt Grade Selection: ISO 898-1 8.8/10.9/12.9 vs ASTM A307 and A325
- 8.8 vs 10.9 vs 12.9 Bolts: Strength, Hardness and Cost — What the Evidence Settles
- Calculating Bolt Preload and Clamp Force: Torque, Friction and Tightening Method
- How to Determine Tightening Torque and Choose a Tightening Method for a Bolted Joint
- Fastener Failure Modes: Which Fatigue, Creep and SCC Controls the Evidence Supports
- Hydrogen Embrittlement in High-Strength Bolts: Which Grades Need Controls, Which Coatings and Baking Schedules Are Acceptable, and What to Require Before the RFQ
Request a Quote
Get factory-direct pricing from the manufacturer.
What to include in your inquiry
- ✓ Standard and property class (e.g. DIN 912, ISO 4762, class 8.8) — or a drawing for custom parts.
- ✓ Sizes, lengths and thread type (metric or inch).
- ✓ Quantity per size and your target delivery date.
- ✓ Destination country, plus any coating or finish requirement.
- ✓ Any documents you need with the shipment (e.g. mill test certificate) so the quote includes them.
- ✓ Your inquiry goes straight to the factory team by email and gets a reply within 24 hours.
- ✓ Factory-direct pricing
- ✓ Standard and custom specifications
- ✓ Factory-direct export to buyers in Europe, Asia, the Americas and the Middle East
- ✓ Full fastener family support