Question 16.1: An M10 bolt has been selected for a reusable application. Th...
An M10 bolt has been selected for a reusable application. The proof stress of the low carbon steel bolt material is 310 MPa. Determine the recommended preload on the bolt and the torque setting.
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From Table 16.2,
Table 16.2: Selected dimensions for a selection of British Standard ISO Metric Precision Hexagon Bolts.
Nominal size and thread diameter |
Pitch of thread (coarse pitch series) |
Width across flats | Height of head | Tapping drill |
Clearance drill |
||
(max) | (min) | (max) | (min) | ||||
M1.6 | 0.35 | 3.2 | 3.08 | 1.225 | 0.975 | 1.25 | 1.65 |
M2 | 0.4 | 4.0 | 3.88 | 1.525 | 1.275 | 1.60 | 2.05 |
M2.5 | 0.45 | 5.0 | 4.88 | 1.825 | 1.575 | 2.05 | 2.60 |
M3 | 0.5 | 5.5 | 5.38 | 2.125 | 1.875 | 2.50 | 3.10 |
M4 | 0.7 | 7.0 | 6.85 | 2.925 | 2.675 | 3.30 | 4.10 |
M5 | 0.8 | 8.0 | 7.85 | 3.650 | 3.35 | 4.20 | 5.10 |
M6 | 1 | 10.0 | 9.78 | 4.15 | 3.85 | 5.00 | 6.10 |
M8 | 1.25 | 13.0 | 12.73 | 5.65 | 5.35 | 6.80 | 8.20 |
M10 | 1.5 | 17.0 | 16.73 | 7.18 | 6.82 | 8.50 | 10.20 |
M12 | 1.75 | 19.0 | 18.67 | 8.18 | 7.82 | 10.20 | 12.20 |
M14 | 2 | 22.0 | 21.67 | 9.18 | 8.82 | 12.00 | 14.25 |
M16 | 2 | 24.0 | 23.67 | 10.18 | 9.82 | 14.00 | 16.25 |
M18 | 2.5 | 27.0 | 26.67 | 12.215 | 11.785 | 15.50 | 18.25 |
M20 | 2.5 | 30.0 | 29.67 | 13.215 | 12.785 | 17.50 | 20.25 |
M22 | 2.5 | 32.0 | 31.61 | 14.215 | 13.785 | 19.5 | 22.25 |
M24 | 3 | 36.0 | 35.38 | 15.215 | 14.785 | 21.00 | 24.25 |
M27 | 3 | 41.0 | 40.38 | 17.215 | 16.785 | 24.00 | 27.25 |
M30 | 3.5 | 46.0 | 45.38 | 19.26 | 18.74 | 26.50 | 30.50 |
M33 | 3.5 | 50.0 | 49.38 | 21.26 | 20.74 | 29.50 | 33.50 |
M36 | 4 | 55.0 | 54.26 | 23.26 | 22.74 | 32.00 | 36.50 |
M39 | 4 | 60.0 | 59.26 | 25.26 | 24.74 | 35.00 | 39.50 |
M42 | 4.5 | 65 | 64.26 | 26.26 | 25.74 | 37.50 | 42.50 |
M45 | 4.5 | 70.0 | 69.26 | 28.26 | 27.74 | 40.50 | 45.50 |
M48 | 5 | 75.0 | 74.26 | 30.26 | 29.74 | 43.00 | 48.75 |
M52 | 5 | 80.0 | 79.26 | 33.31 | 32.69 | 47.00 | 52.75 |
M56 | 5.5 | 85.0 | 84.13 | 35.31 | 34.69 | 50.50 | 56.75 |
M60 | 5.5 | 90.0 | 89.13 | 38.31 | 37.69 | 54.50 | 60.75 |
M64 | 6 | 95.0 | 94.13 | 40.31 | 39.69 | 58.00 | 64.75 |
M68 | 6 | 100.0 | 99.13 | 43.31 | 42.96 | 62.00 | 68.75 |
the pitch for a coarse series M10 bolt is 1.5 mm.
d_{p}=10-0.649519 \times 1.5=9.026 mm,d_{r}=10-1.226869 \times 1.5=8.160 mm,
Table 16.5: Values for the constant K for determining the torque required to tighten a bolt.
Conditions | K |
¼ in. to 1 in. mild steel bolts | 0.2 |
Nonplated black finish steel bolts | 0.3 |
Zinc-plated steel bolts | 0.2 |
Lubricated steel bolts | 0.18 |
Cadmium-plated steel bolts | 0.16 |
For a reusable connection, the recommended preload is
F_{i}=0.75 A_{t} \sigma_{p}=13.48 kN.
From Table 16.5, K = 0.2.
The torque required to tighten the bolt is given by
T=K F_{i} d=0.2 \times 13.48 \times 10^{3} \times 0.01=26.96 N m
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