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Two steel plates are to be held together by means of 16-mm-diameter high-strength steel bo...

Two steel plates are to be held together by means of 16-mm-diameter high-strength steel bolts fitting snugly inside cylindrical brass spacers. Knowing that the average normal stress must not exceed 200 MPa in the bolts and 130 MPa in the spacers, determine the outer diameter of the spacers that yields the most economical and safe design.

Fig. P8.51

Step-by-Step Solution

Solution 1
Step #1 of 2

Find the load taken by the bolts.

Here, is the normal stress in the bolts, P is the load taken by the bolts, is the diameter of the bolt and is the area of the bolt.

Substitute 200 MPa for and 0.016 m for

Step #2 of 2

Let the outer diameter of spacer

Write the equation for the normal stress.

Here, is the normal stress in the bolts.

Here, is the outer diameter of the spacer.

Substitute for P, 0.016 m for and 130 MPa for

Therefore, the outer diameter of the spacer is

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