A 30 mm hole shaft assembly results in minimum and maximum

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A 30 mm hole shaft assembly results in minimum and maximum clearances of 0.03 mm and 0.30 mm respectively. The hole has a unilateral tolerance with zero fundamental deviation. If the tolerance on the shaft is 0.08 mm, the maximum size of the hole is

1. 230.11
2. 30.16
3. 30.19
4. 30.27

Correct Option: C

Min. clearance
= Hole_min – Shaft_max = 0.03 .......(i)
Max clearance
= Hole_min – Shaft_max = 0.30 ............(ii)
Shaft_max – Shaft_min = 0.08 ...............(iii)
Since, hole has unilateral tolerance,
H_min = 30 mm
From eq. (i), we get
Shaft_max = 30 – 0.03 = 29.97 min
From eq. (iii), we get
Shaft_min = 29.89 mm
From eq. (ii), we get
Hole_max = 30.19 mm