The document discusses how SolidWorks calculates the tensile stress area of a bolt for structural analysis. It defines tensile stress area as the minimum cross-sectional area of the threaded section of a bolt. The formula used to calculate this area takes into account the bolt's nominal diameter and pitch. It provides the specific formulas and nominal values for ISO metric bolt threads and ANSI bolt threads.
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Tensile stress area of a bolt
1. 11/26/2017 2013 SOLIDWORKS Help ‐ Tensile Stress Area of a Bolt
http://help.solidworks.com/2013/english/SolidWorks/cworks/r_Tensile_Stress_Area_Bolt.htm 1/3
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Tensile Stress Area
of a Bolt
When you select Calculated tensile
stress area (ConnectorBolt
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
PARENT TOPIC
Bolt Connectors
RELATED CONCEPTS
Example of a Tight Fit Bolt
Connector
Bolt Connectors
Formulation
Thermal Effects for Bolt
Connectors
RELATED REFERENCE
Connector Bolt
Definition of Friction Factor
Bolt Connector PreLoad
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Search 'Tensile Stress Area of a Bolt' in the SOLIDWORKS Knowledge Ba
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