Nothing Special   »   [go: up one dir, main page]

Bolt Capacity Calculations

Download as pdf or txt
Download as pdf or txt
You are on page 1of 4

Design Shear Capacity of bearing type bolts

Remarks/
Determine shear capacity of a 20mm bolt of property class 8.8 could safely carry
Codal
if it connects plates of 10 mm thick and in single shear (Shear plane cuts the
Provisions
shank)
M20 Bolt- Property Class 8.8: Bearing type bolt
Asb = Shank area of bolt = 314 mm2
Anb = Net tensile area at threads = 245 mm2
fub = 800 MPa
fy = 640 MPa
Solution:

Bolt in single shear

10mm
10mm

Bolt in single shear


Shear capacity of the bolt:

Vdsb = Vnsb / γmb


where
Clause
Vnsb = nominal shear capacity of a bolt, calculated as follows:
10.3.3
f
Vnsb = u (n n A nb + n s A sb )
3
where
fu = ultimate tensile strength of a bolt.
nn = number of shear planes with threads intercepting the shear plane
ns = number of shear planes without threads intercepting the shear plane
Asb = nominal plain shank area of the bolt
Anb = net tensile area at threads

Assume the threads are not intercepting the shear plane


∴nn = 0 ; ns = 1.

 (800
Vnsb =  (0 × 245 + 1 × 314) × 1 = 145.0 kN
 3  1000

145
Vdsb = = 116.0 kN (See Table 7.1)
1.25

Multiplication factor for packing plates (if used)

527
Let tpk = 10 mm
β pk = (1 − 0.0125t pk )
= (1 − 0.0125 ×10)
= 0.88

Multiplication factor for long joints

Assuming the length of the joint lj = 360 mm


Diameter of the bolt = 20 mm
lj/d =360/20 = 18
lj
β lj = (1.075 − 0.005 )
d
360
= (1 − 0.005 × )
20
= 0.99

Multiplication factor for large grip lengths

In the present case the grip length lg = 20 mm. Since it does not exceeds lg=5d ,
no reduction is needed. However for exemplifying the procedure the following
calculation is shown
8
β lg = ≤ β lj
lg
3+
d
8
=
20
3+
20
= 1.00 (max imum)

528
Design bearing Capacity of bearing type bolts
Determine bearing capacity of a 20mm bolt of property class 8,8 if it connects Remarks/
plates of 10 mm thick. Assume a pitch of 2.5 d and end distance of 1.5 d0 and Codal
also kb = 1.0 Provisions
M20 Bolt- Property Class 8.8: Bearing type bolt
d = diameter of the bolt =20 mm ; d0 = diameter of hole = 20 + 2 =22mm
thickness of the plate = 10 mm
fub = ultimate tensile strength of the bolt = 800 MPa
fyb = yield strength of the bolt = 640 MPa
fu = ultimate tensile strength of the plate = 410 MPa Table 19
Solution:
(a) Bolt in single shear

10mm
10mm

Bolts in single shear


Bearing capacity of the bolt:
Vdpb = Vnpb / γmb where
Vnpb = nominal shear capacity of a bolt, calculated as follows:
=2.5 kb d t fu where
kb is smaller of (i) e/3d0 (ii) (p/3d0) – 0.25 (iii) fub/fu (iv) 1.0 Clause
10.3.4
e,p = end and pitch distances of the fastener in the bearing direction
(i) e/3d0 = 1.5d0/3d0 = 0.5 (ii) (p/3d0) – 0.25 = 50 / (3 x 22) – 0.25 = 0.51
(iii) fub/fu = 800 /410 = 1.95 (iv) 1.0
Hence kb = 0.5

Vnpb = (2.5 × 0.5 × 20 ×10 × 410) ×


1
= 102.5 kN
1000

if kb = 1.0 then Vnpb = (2.5 ×1.0 × 20 ×10 × 410) ×


1
=205 kN
1000
102,5 205
Vdpb = = 82 kN & Vdpb = = 164 kN
1.25 1.25
If fub is used for the bearing stress calculation as:

if kb = 1.0 then Vnpb = (2.5 ×1.0 × 20 ×10 × 800) ×


1
=400 kN
1000
400
Vdpb = = 320 kN
1.25

529
Design tensile Capacity of bolts

Determine the design tensile capacity of 20mm bolt of Property class 8.8. Remarks/
Codal
Provisions

M20 Bolt- Property Class 8.8:


Bearing type bolt
Asb = Shank area of bolt = 314 mm2
Anb = Net tensile area at threads = 245 mm2
fub = 800 MPa
fy = 640 MPa
Solution:

(a) Bolt in tension

Bolt in tension

Tension capacity of the bolt:

Tdb = Tnb / γmb

where
Tnsb = nominal tensile capacity of a bolt, calculated as follows:
Tnb = 0.9 × f ub × Anb < ( f yb / γ m0 ) × Asb × γ mb Clause
10.3.5
Tnb = (0.9 × 800 × 245) ×
1
= 176.4 kN < 228.4 kN
1000
176.4
Tdb = = 141.1 kN
1.25

530

You might also like