Expand IntroductionIntroduction
Expand AdministrationAdministration
Expand User InterfaceUser Interface
Expand SolidWorks FundamentalsSolidWorks Fundamentals
Expand Moving from 2D to 3DMoving from 2D to 3D
Expand AssembliesAssemblies
Expand CircuitWorksCircuitWorks
Expand ConfigurationsConfigurations
Expand SolidWorks CostingSolidWorks Costing
Expand Design CheckerDesign Checker
Expand Design Studies in SolidWorksDesign Studies in SolidWorks
Expand Detailing and DrawingsDetailing and Drawings
Expand DFMXpressDFMXpress
Expand DriveWorksXpressDriveWorksXpress
Expand FloXpressFloXpress
Expand Import and ExportImport and Export
Expand Model DisplayModel Display
Expand Mold DesignMold Design
Expand Motion StudiesMotion Studies
Expand Parts and FeaturesParts and Features
Expand RoutingRouting
Expand Sheet MetalSheet Metal
Collapse SimulationSimulation
Expand SimulationXpressSimulationXpress
Expand SketchingSketching
Expand Sustainability ProductsSustainability Products
Expand SolidWorks UtilitiesSolidWorks Utilities
Expand TolerancingTolerancing
Expand TolAnalystTolAnalyst
Expand ToolboxToolbox
Expand WeldmentsWeldments
Expand Workgroup PDMWorkgroup PDM
Expand TroubleshootingTroubleshooting
Hide Table of Contents

Tensile Stress Area of a Bolt

When you select Calculated tensile stress area (Connector-Bolt PropertyManager), the program calculates the tensile stress area (At), which is the mimimum area of the threaded section of the bolt, according to the formula: At = [(d3 + d2) / 2)]2 * π /4

  • P = pitch, axial distance between two adjacent threads
  • n = 1 / P, number of bolt threads per inch (ANSI) or millimeter (ISO)
  • d = nominal bolt shank diameter
ISO Bolt threads
  • d3 = d - 1.2268 * P
  • d2 = d - 0.6495 * P
The formula for the tensile stress area becomes: At = 0.7854 * [d - (0.9382 * P)]2

Substituting P = 1 / n results to At = 0.7854 * [d - (0.9382 / n)]2, where d is given in mm, and n is given in threads/mm.

ANSI threads

A similar approach is followed for the calculation of the tensile stress area:

At = 0.7854 * [d - (0.9743 / n)]2, where d is given in inches, and n is given in threads/inch.

Reference: Machinery's Handbook published by Industrial Press.

The table below provides the nominal bolt diameter and pitch values for the main ISO M large thread bolts.
Table 1. ISO M Metric Bolt Threads, ISO 724 (DIN 13 T1)
Nominal Diameter d (mm) Pitch P (mm)
M 1.60 0.35
M 2.00 0.40
M 2.20 0.45
M 3.00 0.50
M 4.00 0.70
M 4.50 0.75
M 5.00 0.80
M 6.00 1.00
M 8.00 1.25
M 10.00 1.50
M 12.00 1.75
M 16.00 2.00
M 20.00 2.50
M 24.00 3.00
M 30.00 3.50
M 36.00 4.00
M 42.00 4.50
M 48.00 5.00
M 56.00 5.50
M 64.00 6.00

Provide feedback on this topic

SOLIDWORKS welcomes your feedback concerning the presentation, accuracy, and thoroughness of the documentation. Use the form below to send your comments and suggestions about this topic directly to our documentation team. The documentation team cannot answer technical support questions. Click here for information about technical support.

* Required

Subject:   Feedback on Help Topics
Page:   Tensile Stress Area of a Bolt

Print Topic

Select the scope of content to print:


We have detected you are using a browser version older than Internet Explorer 7. For optimized display, we suggest upgrading your browser to Internet Explorer 7 or newer.

 Never show this message again

Web Help Content Version: SOLIDWORKS 2013 SP05

The search functionality within the web help is in a beta test phase and you may experience periodic delays or interruptions in its performance. These are the normal and ordinary features of a beta test and shall not under any circumstances give rise to any liability on the part of Dassault Systèmes SolidWorks Corporation or its licensors. The topics within the Web-based help are not beta topics; they document SOLIDWORKS 2013 SP05.

To disable Web help from within SOLIDWORKS and use local help instead, click Help > Use SOLIDWORKS Web Help.

To report problems encountered with the Web help interface and search, contact your local support representative. To provide feedback on individual help topics, use the “Feedback on this topic” link on the individual topic page.