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## Q. 3.4

Two bolts, with a centre distance of 50 mm, are used to assemble two plates. The recommended class of fi t between bolts and holes is 12H11-d11. Specify tolerance for the centre to centre distance between bolts.

## Verified Solution

Step I Maximum and minimum diameters of hole and bolt

Hole: 12H11 (Table 3.2)

Table 3.2 Tolerances for holes of sizes up to 100 mm (H5 to H11)

 H Diameter steps in mm 5-11 11 10 9 8 7 6 5 ei es to over 0 +60 +40 +25 +14 +10 +6 +4 3 0 0 +75 +48 +30 +18 +12 +8 +5 6 3 0 +90 +58 +36 +22 +15 +9 +6 10 6 0 +110 +70 +43 +27 +18 +11 +8 18 10 0 +130 +84 +52 +33 +21 +13 +9 30 18 0 +160 +100 +62 +39 +25 +16 +11 50 30 0 +190 +120 +74 +46 +30 +19 +13 80 50 0 +220 +140 +87 +54 +35 +22 +15 100 80

$12^{\overset{+0.110}{_{+0.000}}}$        $\text { or } \frac{12.110}{12.000} mm$.

Bolt: 12d11 (Table 3.3a)

Table 3.3a Tolerances for shafts of sizes up to 100 mm (from d to h)

 h g f e d Diametersteps in mm 10 9 8 7 6 5 5-10 7 6 6-7 8 7 6 6-8 9 8 7 6 6-9 11 10 9 8 8-11 ei es ei es ei es ei es ei es to over -40 -25 -14 -10 -6 -4 0 -12 -8 -2 -20 -16 -12 -6 -39 -28 -24 -20 -14 -80 -60 -45 -34 -20 3 0 -48 -30 -18 -12 -8 -5 0 -16 -12 -4 -28 -22 -18 -10 -50 -38 -32 -28 -20 -105 -78 -60 –48 -30 6 3 -58 -36 -22 -15 -9 -6 0 -20 -14 -5 -35 -28 -22 -13 -61 -47 -40 -34 -25 -130 -98 -76 –62 -40 10 6 -70 -43 -27 -18 -11 -8 0 -24 -17 -6 -43 -34 -27 -16 -75 -59 -50 -43 -32 -160 -120 -93 –77 -50 18 10 -84 -52 -33 -21 -13 -9 0 -28 -20 -7 -53 -41 -33 -20 -92 -73 -61 -53 -40 -195 -149 -117 –98 -65 30 18 -100 -62 -39 -25 -16 -11 0 -34 -25 -9 -64 -50 -41 -25 -112 -89 -75 -66 -50 -240 -180 -142 –119 -80 50 30 -120 -74 -46 -30 -19 -13 0 -40 -29 -10 -76 -60 -49 -30 -134 -106 -90 -79 -60 -290 -220 -174 –146 -100 80 50 -140 -87 -54 -35 -22 -15 0 -47 -34 -12 -90 -71 -58 -36 -159 -126 -107 -94 -72 -340 -260 -207 –174 -120 100 80

$12^{\overset{-0.050}{_{-160}}}$        $\text { or } \frac{11.950}{11.840} mm$.

Step II Calculation of x
From Eq. (3.1),

$x=\left(D_{\min .}-d_{\max }\right)$              (3.1).

$x=\left(D_{\min .}-d_{\max }\right)=(12.000-11.950)=0.05 mm$.

Step III Tolerance for the centre distance
The tolerance for the centre distance is given as
50 ± 0.05 mm.