Chapter 9, Problem 9.5.10P

Beam ACE hangs from two springs, as shown in the figure. The springs have stiffnesses k_xand k₂and the beam has flex lira I rigidity EL

(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 kN m, L = 1.8 m,

EI = 216 kN m², Jt, = 250 kN/m, and

k₂= 160 kN/m,

(b)

Repeat part (a), but remove A/₍₎ and apply a

uniform load q — 3.5 kN/m to the entire beam.