Question

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

• A. 30.19
• B. 30.11
• C. 30.16
• D. 30.27

Answer 1

The correct option is A 30.19

$\text{Min. clearance}={\text{Hole}}_{\text{min}}-{\text{Shaft}}_{\text{max}}=0.03mm...\left(i\right)$

$\text{Max clearance =}{\text{Hole}}_{\text{max}}-{\text{Shaft}}_{\text{min}}=0.30mm...\left(ii\right)$

${\text{Shaft}}_{\text{max}}-{\text{Shaft}}_{\text{min}}=0.08mm...\left(iii\right)$

$\text{Since, hole has unilateral tolerance,}$

${\text{Hole}}_{\text{min}}=30mm$

$\text{Form eq (i), we get}$

${\text{Shaft}}_{\text{max}}=30-0.03=29.97mm$

$\text{Form eq.(iii), we get}$

${\text{Shaft}}_{\text{min}}=29.89mm$

$\text{Form eq.(ii), we get}$

$Hol{e}_{max}=30.19mm$