F a+b 2 (c) F (b) ·a+b- (d) (a) 82 -9+0- (e)
A pin in a knuckle joint carrying a tensile load F deflects somewhat on account of this loading, making the distribution
of reaction and load as shown in part (b) of the figure. A common simplification is to assume uniform load
distributions, as shown in part (c). To further simplify, designers may consider replacing the distributed loads with
point loads, such as in the two models shown in parts d and e. If a = 0.5 in, b = 0.75 in, d = 0.5 in, and F = 1000 lbf,
The pin is machined from AISI 1018 hot-rolled steel.
a) Estimate the maximum bending stress and the maximum shear stress due to V for the three simplified models.
b) Determine the factor of safety for yielding based on the distortion-energy theory for each of the simplified
models in parts c, d, and e of the figure.
c) Compare the three models from a designer’s perspective in terms of accuracy, safety, and modeling time.
d) and the most conservative loading model from parts c, d, and e of the figure for Problem 3–41. The pin is
machined from AISI 1018 hot-rolled steel.
e) Redesign the pin diameter to provide a factor of safety of 2.5 based on a conservative yielding failure theory,
and the most conservative loading model from parts c, d, and e of the figure.
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