Question 3-18: Refer to Figure 3–14. Compute the bearing stress between the...
Refer to Figure 3–14. Compute the bearing stress between the 10.0 mm diameter pin and the mating hole in the link. The force applied to the link is 3550 N. The thickness of the link is 15.0 mm, and its width is 25.0 mm.
Objective Compute the bearing stress between the mating surfaces of the pin and the inside of the hole in the link.
Given Load = F = 3550 N. t= 15.0 mm; w= 25.0 mm; D = 10.0 mm. Geometry of members shoen in Figure 3-14.
Analysis Bearing stresses: Use Equation (3-20) for each pair of mating surfaces. Use the projected area of the hole for the bearing area.
\sigma_{b} = \frac{Applied load}{Bearing area} = \frac{F}{A_{b}} (3-20)
Results Between the pin and the link: L = t = thickness of the link. From Equation (3-21),
A_{b} = D \times t = (10.0 mm)(15.0 mm) = 150 mm²
Then, the bearing stress is
\sigma_{b} = \frac{3550 N}{150 mm^{2}} = 23.7 N/mm² = 23.7 MPa.