Question: Beam ACB hangs from two springs, as shown in the figure. The springs have stiffnesses k1 and k2 and the beam has flexural rigidity EI.

Beam ACB hangs from two springs, as shown in the figure. The springs have stiffnesses k1 and k2 and the beam has flexural rigidity EI.

(a) What is the downward displacement of point C, which is at the midpoint of the beam, when the moment M0 is applied? Data for the structure are as follows:
M0 = 10.0 kNˆ™m, L = 1.8 m, EI = 216 kNˆ™m2,
k1 = 250 kN/m, and k2 = 160 kN/m.
(b) Repeat (a) but remove M0 and apply uniform load q = 3.5 kN/m to the entire beam.

Mo k2 q 3.5 kN/m (for Part (b) only)

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