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(Solved): A uniform rod is arranged in a fixed free configuration as shown in fig A. the rod is 20ft long ...
A uniform rod is arranged in a fixed – free configuration as shown in fig A. the rod is 20ft long and is composed of material with ? = 96.6 pcf, n = 0.25 and Vc = 1000 fps.
The free end of the rod is loaded uniformly over the end with the compressive pulse series (two pulses) show in Fig. B on Fig. C, plot the particle displacement that occurs at point Y from equal to zero (when the first stress pulse is initially applied) until a time of 0.1 sec. Assume no stress is applied to the rod before time zero.
Fig. A Fig. B Fig. C
Expert Answer
To calculate the particle displacement at point Y on the rod, you'll need to use the wave equation for stress waves in a rod: = where u is the particle displacement, t is time, x is distance along the rod, and c is the wave speed in the rod, Which can be calculated using the material properties of the rod:c =