BOLT STRESS ANALYSIS
For High-Strength Bolts Subject to Tension and/or Shear  
Per AISC 9th Edition Manual (ASD)  
Input Data:
Tension Force/Bolt, T = kips/bolt
Shear Force/Bolt, V = kips/bolt
Bolt Diameter, db =
in.
ASTM Bolt Desig. =
This program assumes the use of ONLY high-strength bolts of ASTM designation A325 or A490.
Bolt Type (N, X, or SC) =
This program assumes the following bolt type:
N = Bearing bolt with threads included in shear plane
X = Bearing bolt with threads excluded from shear plane
SC = Slip-Critical bolt
Bolt Hole Type =
Single or Double Shear?
Is bolt in connection subject to single or double shear?
Note: if bolt can be considered to be in double shear,
then the allowable shear per bolt, 'Vb', is
multiplied by 2.
No. of Loading Cycles =
The Number of Loading Cycles reflects whether or not tensile fatigue is to be considered. When subject to tensile loading, the allowable tensile stress in A325 or A490 bolts due to the combined applied load and prying forces shall not exceed the values shown below, and the prying force shall not exceed 60% of the externally applied load.

Tensile Fatigue (AISC Sect. A-K4)
Ft (ksi) Ft (ksi)
Number of Cycles A325 Bolts A490 Bolts
<= 20,000* 44 54
20,000 to 500,000 40 49
> 500,000** 31 38

* approximately = to 2 applications/day for 25 years
** approximately = to 50 applications/day for 25 years
Note: when the Number of Loading Cycles <= 20,000 then fatigue effects are ignored.
(for 25 years)
Results:
Ab =
Connection Bolt Data
Nominal Diameter, d (in.) Area, Ab (in.^2)
5/8 0.3068
3/4 0.4418
7/8 0.6013
1 0.7854
1-1/8 0.9940
1-1/4 1.2272
1-3/8 1.4850
1-1/2 1.7671
in.^2 Ab = p*db^2/4
Tb =
TABLE J3.7
Minimum Pretension for Fully-tightened Bolts, kips*
Bolt Size, in. A325 Bolts A490 Bolts
5/8 19 24
3/4 28 35
7/8 39 49
1 51 64
1-1/8 56 80
1-1/4 71 102
1-3/8 85 121
1-1/2 103 148
*Equal to 0.70 of minimum tensile strength of bolts,
rounded off to nearest kip.
ksi
Bolt Tension:
ft = ksi ft = T/Ab
The Number of Loading Cycles reflects whether or not tensile fatigue is to be considered. When subject to tensile loading, the allowable tensile stress in A325 or A490 bolts due to the combined applied load and prying forces shall not exceed the values shown below, and the prying force shall not exceed 60% of the externally applied load.

Tensile Fatigue (AISC Sect. A-K4)
Ft (ksi) Ft (ksi)
Number of Cycles A325 Bolts A490 Bolts
<= 20,000* 44 54
20,000 to 500,000 40 49
> 500,000** 31 38

* approximately = to 2 applications/day for 25 years
** approximately = to 50 applications/day for 25 years
Note: when the Number of Loading Cycles <= 20,000 then fatigue effects are ignored.
ksi
Use: Ft =
TABLE J3.2
Allowable Stress on Fasteners, ksi
Description of Fasteners Allowable Tension (Ft)
A325 bolts, when threads are 44.0
not excluded from shear planes
A325 bolts, when threads are 44.0
excluded from shear planes
A490 bolts, when threads are 54.0
not excluded from shear planes
A490 bolts, when threads are 54.0
excluded from shear planes
Notes:
1. Allowable tension stress values shown above are for tension alone.
2. For Bearing-type connections with combined tension and shear, refer to
Table J3.3 (below) for allowable tension stress values, 'Ft'.

TABLE J3.3
Allowable Tension Stress, Ft, for Fasteners in Bearing-type Connections
Description of Threads Included in Threads Excluded
Fasteners Shear Plane from Shear Plane
A325 bolts (44^2-4.39*fv^2)^1/2 (44^2-2.15*fv^2)^1/2
A490 bolts (54^2-3.75*fv^2)^1/2 (54^2-1.82*fv^2)^1/2
Note: above interaction equations are actually in the form of:
Ft = (Ft^2-(Ft/Fv)^2*fv^2)^1/2
ksi
T = kips/bolt
B =
Allowable Tension Load on Bolts (kips)
ASTM Nominal Diameter, d (in.)
Designation 5/8 3/4 7/8 1 1-1/8 1-1/4 1-3/8 1-1/2
A325 13.5 19.4 26.5 34.6 43.7 54.0 65.3 77.7
A490 16.5 23.9 32.5 42.4 53.7 66.3 80.2 95.4
Note: Values above are taken from AISC Table I-A, page 4-3,
and are based on gross (nominal) area assuming NO shear.
kips/bolt
SR =
Bolt Shear:
fv = ksi fv = V/Ab
Fv =
TABLE J3.2
Allowable Stress on Fasteners, ksi
Allowable Shear (Fv)
Description of Fasteners Slip-Critical Bearing-type
Connections Connections
A325 bolts, when threads are 17.0 21.0
not excluded from shear planes
A325 bolts, when threads are 17.0 30.0
excluded from shear planes
A490 bolts, when threads are 21.0 28.0
not excluded from shear planes
A490 bolts, when threads are 21.0 40.0
excluded from shear planes

Notes:
1. Allowable shear stress values, 'Fv', shown above are for shear alone.
2. For Slip-Critical connections with combined tension and shear, the above
values of 'Fv' shall be multiplied by the reduction factor: (1-ft*Ab/Tb).
ksi
Shear Fact. =
Shear Factor = 1 for bolts in Single-Shear
Shear Factor = 2 for bolts in Doule-Shear
V = kips/bolt
Vb =
Allowable Shear Load on Bolts (kips)
ASTM Nominal Diameter, d (in.)
Designation 5/8 3/4 7/8 1 1-1/8 1-1/4 1-3/8 1-1/2
A325-SC(STD) 5.22 7.51 10.2 13.4 16.9 20.9 25.2 30.0
A325-SC(OVS) 4.60 6.63 9.02 11.8 14.9 18.4 22.3 26.5
A325-N 6.4 9.3 12.6 16.5 20.9 25.8 31.2 37.1
A325-X 9.2 13.3 18.0 23.6 29.8 36.8 44.5 53.0
A490-SC(STD) 6.44 9.28 12.6 16.5 20.9 25.8 31.2 37.1
A490-SC(OVS) 5.52 7.95 10.8 14.1 17.9 22.1 26.7 31.8
A490-N 8.6 12.4 16.8 22.0 27.8 34.4 41.6 49.5
A490-X 12.3 17.7 24.1 31.4 39.8 49.1 59.4 70.7
Note: Values above are taken from AISC Table I-D, page 4-5, and are
for bolts in single shear based on gross (nominal) area assuming
NO tension. STD = Standard hole, and OVS = Oversized hole.
For Double-Shear, multiply values above by 2.
kips/bolt Vb = Fv*Ab*(SF)
SR =
SUMMARY OF CHECKS:
Row No.: Results:
Stress Ratio:
Bolt Tension:
31
Bolt Shear:
39