Тест 6.2 Dynamic problem for a rod with free ends

Analytical solution: S. Timoshenko, D. H. Young, Vibration Problems in Engineering, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 311, problem 2.

Geometry:


l = 4000 х 12 = 48000 in, А = 2 in², g = 386 in/sec².

Material characteristics: Е=30 x 10⁶ psi, γ=0.278 lb/in³, ρ=γ/g=0.0007202 lb-sec²/in⁴.

Boundary conditions:

Loads:

F1 = 6000 lb.

CALCULATION RESULTS:

Point	The desired value	Analytical solution	Calculation results (LIRA)	Uncertainty,%
x = l	Relocating u, in	4,8	4,9	2,08

Preview image: Array

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