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
A_{t}=\frac{\pi}{16}(9.026+8.16)^{2}=57.99 mm ^{2}

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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