Compatability of two parts

A designer specifies the measurements of two parts (\(A\) and \(B\)) of a mobile phone that have to be connected.

The connection section of Part A is designed to be \(13mm\) wide. The connection section of Part B is designed to be \(12.5mm\) and fit into Part A.

The manufacturing process of Part A can guarantee the connection section to be 13 ± 0.2mm.

The manufacturing process of Part B however can only guarantee the connection section to be 12.5 ± 0.4mm.

This presents an issue of compatibility.

The range of possible width of the Part A connection is from \(13.2mm\) down to \(12.8mm\).

The range of possible width of the Part B connection is from \(12.9mm\) down to \(12.1mm\).

There is the possibility that Part B will be the same size or even larger than Part A at the connection point and will not be able to fit inside.

So this is not a design that will work in practice as the assembly will sometimes fail.

There would have to be a new design model to cope with the manufacturing process.

Question

The design instructions for the width of two connecting parts is as follows:

Part H is to fit into Part G

The manufacturing process for Part G can guarantee a width of \(45.6 + 0.4mm\).

The manufacturing process for Part H can guarantee a width of \(44.8 + 0.3mm\).

Comment on the compatibility of these parts given this information.

The design instructions for the width of two connecting parts is as follows:

Part T is to fit into Part S

The manufacturing process for Part S can guarantee a width of \(37.6 ± 0.3mm\).

The manufacturing process for Part T can guarantee a width of \(37.2 ± 0.2mm\).

Comment on the compatibility of these parts given this information.