Determine the safe load that a single riveted butt joint:
Determine the safe load that a single riveted butt joint with two cover plates as shown in Figure 8 can carry if the pitch of the power-driven field rivets is 7.5 cm centers. (Nominal dia of rivets is 20 mm and fy = 150 MPa.) Determine the efficiency of the joint.
Figure
Solution
Gross diameter = 20 + 1.5 = 21.5 mm
Minimum edge distance = 32 mm (35 mm say) (Table 1)
Minimum pitch = 2.5 × 21.5 = 53.75 m
Maximum pitch = 32 × 9 = 288 mm
∴ The given pitch of 75 mm is OK.
Number of rivets = 5
Maximum permissible stress in power-driven field rivets (Table 2)
Shear (τvf) = 90 MPa
Bearing on rivet (σ pt) = 270 MPa
(a) Strength of rivets in double shear
= [ π/4 × 2 × (21.5) 2× 90] × 5 = 326745
(b) Strength of rivets in bearing with respect to main plate
= [21.5 × 16 × 270] × 5 = 464400
(c) Strength of rivets in bearing with respect to cover plates
= [21.5 × 18 × 270] × 5 = 522450
(d) Tearing strength of main plate = (370 - 5 × 21.5) × 16 × 150
= 630,000 N
(e) Tearing strength of cover plate
= (370 - 5 × 21.5) × 18 × 150 = 708,750 N
The safe load is the minimum of the above i.e. 326.7 kN.
The load that the plate without rivet holes can carry
= 370 × 16 × 150 = 888000 N = 888 kN
∴ Efficiency of the joint (η) = 326.7 /888×100 = 36.80% .