# Solution to Problem 126 Bearing Stress

**Problem 126**

The lap joint shown in Fig. P-126 is fastened by four ¾-in.-diameter rivets. Calculate the maximum safe load P that can be applied if the shearing stress in the rivets is limited to 14 ksi and the bearing stress in the plates is limited to 18 ksi. Assume the applied load is uniformly distributed among the four rivets.

**Solution 126**

Based on shearing of rivets:

$P = \tau A$

$P = \tau A$

$P = 14 [ \, 4 (\frac{1}{4} \pi) (\frac{3}{4})^2 \, ]$

$P = 24.74 \, \text{kips}$

Based on bearing of plates:

$P = \sigma_b A_b$

$P = 18 [ \, 4 (\frac{3}{4})(\frac{7}{8}) \, ]$

$P = 47.25 \, \text{kips}$

Safe load P,

$P = 24.74 \, \text{kips}$ *answer*

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