Mandatory Problem 4. The ASTM A36 steel cantilever beam (with Young's modulus, E = 200 GPa) with hollow rectangle cross-section (same as problem # 1) with length, L = 120 ± 1.5 mm, width = B = 50 ± 0.50 mm, height = H = 70 ± 0.75 mm, wall thickness = t = 10 ± 0.50 mm, inner width = b = 30 ± 0.20 mm, inner height = h = 50 ± 0.25 mm, is loaded with the load, F = 350 ± 3.5 N at the free end as shown in the figure in Problem # 1.
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(a) Find the maximum deflection at the free end with uncertainty. (15 points)
Max deflection at free end, $$\delta$$ or $$\Delta = \left[\frac{FL^3}{3EI}\right]$$
(b) which variable contributes the most to the overall uncertainty? (5 points)
(See the hint # 2 in problem # 1)
