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## Q. 3.2

The valve seat fitted inside the housing of a pump is shown in Fig. 3.26. Calculate
(i) the maximum and minimum diameters of the housing and valve seat; and
(ii) the magnitude of the maximum and minimum interferences between the seat and housing.

## Verified Solution

Step I Maximum and minimum diameters of the housing and valve seat
From Tables 3.2 and 3.3b, the tolerances for valve seat and housing are as follows:
Housing:

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

Table 3.3b Tolerances for shafts of sizes up to 100 mm (from j to s)

 s r p n m k j Diametersteps in mm 5-7 7 6 5 5-6 6 5 6-7 7 6 6-7 7 6 6-7 7 6 5-6 6 5 7 6 5 ei es ei es ei es ei es ei es ei es ei es ei es ei es to over +14 +24 +20 +18 +10 +16 +14 +6 +16 +12 +4 +14 +10 +2 – +8 0 +6 +4 -4 +6 -2 +4 -2 +2 3 0 +19 +31 +27 +24 +15 +23 +20 +12 +24 +20 +8 +20 +16 +4 +16 +12 +1 +9 +6 -4 +8 -2 +6 -2 +3 6 3 +23 +38 +32 +29 +19 +28 +25 +15 +30 +24 +10 +25 +19 +6 +21 +15 +1 +10 +7 -5 +10 -2 +7 -2 +4 10 6 +28 +46 +39 +36 +23 +34 +31 +18 +36 +29 +12 +30 +23 +7 +25 +18 +1 +12 +9 -6 +12 -3 +8 -3 +5 18 10 +35 +56 +48 +44 +28 +41 +37 +22 +43 +35 +15 +36 +28 +8 +29 +21 +2 +15 +11 -8 +13 -4 +9 -4 +5 30 18 +43 +68 +59 +54 +34 +50 +45 +26 +51 +42 +17 +42 +33 +9 +34 +25 +2 +18 +13 -10 +15 -5 +11 -5 +6 50 30 +56 +86 +75 +69 +42 +61 +55 +32 +62 +51 +20 +50 +39 +11 +41 +30 +2 +21 +15 -12 +18 -7 +12 -7 +6 80 50 +71 +106 +93 +86 +54 +73 +66 +37 +72 +59 +23 +58 +45 +13 +48 +35 +3 +25 +18 -15 +20 -9 +13 -9 +6 100 80

Note: 1. In Tables 3.1 and 3.2a and b, the tolerances are given in microns (1 micron = 0.001 mm).
2. es = upper deviation and ei = lower deviation.

Housing:

$20^{\overset{+0.021}{_{+0.000}}}$        $\text { or } \frac{20.021}{20.000} mm$.

Valve seat (outer diameter):

$20^{\overset{+0.048}{_{+0.035}}}$        $\text { or } \frac{20.048}{20.035} mm$              (i).

Step II Maximum and minimum interferences
Minimum interference = 20.035 – 20.021 = 0.014 mm
Maximum interference = 20.048 – 20.000 = 0.048 mm                 (ii).