Alum Sample z526u

MULLION BRACKET ANALYSIS BS 8118: Part 1: 1991 Structural Use of Aluminum I. CHECK FOR BOLT AND BEARING ON THE ALUMINUM IA. GENERAL PROPERTIES A. Threaded Fastener Bolt Grade = A4-70 Db = 8 mm

Bolt grade Bolt diameter

Ub =

700 MPa

Yb =

450 MPa

ps =

280 MPa

0.4U b (BS 5950-1:2000; Table 30) Shear strength

pt =

450 MPa

0.7U b or Y b (BS 5950-1:2000; Table 34) Tensile strength

pbb =

805 MPa 2 36.6 mm

0.7(U b + Y b ) (BS 5950-1:2000; Table 31) Bearing strength

As =

Minimum tensile strength of the fasterner

Tensile stress area

tp1 =

3 mm

Thickness of ply1

tp2 =

3 mm

Thickness of ply2

γm =

1.2

Fastener shear capacity Pv = 280 × 36.6 /1000 Pv =

10.25 KN

Fastener bearing capacity Pbb = 8 × 3 × 805 /1000 Pbb =

19.32 KN

B. Aluminum Ply Alloy = 6063-T6 pa = 175 MPa ebb = c= γm =

10 mm 2 1.2

Connected ply bearing capacity BRP1 = (2 × 8 × 3 × 175/1.2)/1000 BRP1 =

8.4 KN

Material factor

p s ×A s (BS 5950-1:2000; Sec 6.3.2.1) Shear capacity p s ×A s (BS 5950-1:2000; Sec 6.3.2.1) Shear capacity

d×t p ×p bb (BS 5950-1:2000; Sec 6.3.3.2) Bearing capacity d×t p ×p bb (BS 5950-1:2000; Sec 6.3.3.2) Bearing capacity

Aluminum alloy (BS 8118; Table4.1) Limiting stress (BS 8118; Table4.1) Edge distance Diameter to thickness ratio factor(BS 8118 Sec 6.4.4) Bearing Material factor

c×Db×t×pa/ym (BS 8118 Sec 6.4.4) Bearing c×Db×t×pa/ym (BS 8118 Sec 6.4.4) Bearing

BRP2 = (10 × 3 × 175/1.2)/1000

e×t×pa/ym (BS 8118 Sec 6.4.4) Bearing

BRP2 =

e×t×pa/ym (BS 8118 Sec 6.4.4) Bearing

5.25 KN

BRP= min( BRP1, BRP2)

(BS 8118 Sec 6.4.4) Bearing capacity of the ply

BRP=

(BS 8118 Sec 6.4.4) Bearing capacity of the ply

5.25 KN

II. CAPACITY CHECK A. Factored force calculation Nb = 1 Ns =

1

No. of fasterners in the direction of the shear No. of sides in the direction of shear

Factored shear along the x-axis for single fastener Vbx = 0.35 KN Vby =

0.11 KN

Total shear acting on a single fasterner 2 2 Vb = (√Vbx + Vby )/ Nb × Ns

Total shear acting on a single fasterner

Vb = (√0.35² + 0.11²) / 1 × 1

Total shear acting on a single fasterner

Vb =

Total shear acting on a single fasterner

0.37 KN

B. Summary check Bearing resistance of ply check Vb < BRP = 0.37 < 5.25; Therefore OK for bearing on the ply Shear resistance of fastener check Vb < Pv = 0.37 < 10.25; Therefore OK for shear on the bolt Bearing resistance of fastener check Vb < Pbb = 0.37 < 19.32; Therefore OK for bearing on the bolt