Question 8.4: Boundary Conditions Between a Pin and Hole Problem: An overh...
Boundary Conditions Between a Pin and Hole
Problem: An overhung beam is supported on two pins in bearings. Determine a suitable boundary condition scenario for its analysis and estimate its maximum deflection, maximum stress, and spring rate at the load point.
Given: The beam dimensions in Figure 8-19 (p. 499) are: a = 8, l = 20, b = 0.75, h = 2, and d = 0.5 in. The load F = 100 lb. The beam and pins are steel and the bearings are bronze on steel. The beam cross section is constant over its length except for the pin holes, which are all 0.5-in-dia.
Assumptions: Loading and supports reactions are coplanar. Pin supports are significantly stiffer than the beam.
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