

Problem 1: For the machine linkage shown below, determine the largest stress. If the allowable stress is 34.0 ksi, will the linkage fail? If so, where?

Solution: The average stress in each of the section is (in Section B, one has to use the actual width; i.e., the width remaining on either side of the hole):

Examining the region near the fillets first...

From Figure 2.64 on page 108, I read a stress concentration factor of 1.85 (this is open to some interpretation). Therefore, the maximum stress in the region of the fillets is (1.85)(18.22 ksi) =33.7 ksi. This is satisfactory, although it is barely within the limit of 34 ksi. Failure would not be expected at the fillets.
For the hole,

Since this exceeds the 34 ksi allowable stress, failure can be expected across the hole.