Page 62 - Singiresu S. Rao-Mechanical Vibrations in SI Units, Global Edition-Pearson (2017)

1.7 sprinG elements 59
z
F y

w
x
d O
F z
l
y
(a)

F y

d O x k
d y

d y F y
y
(b)
z
d z F z
d z
w O x

k
F z

(c)
FiGure 1.26 Spring constants of a beam in two directions.

and then find the spring constant (k) as
P 3EIl 3
k = = (E.6)
2
2
y a 1l - a2 1al - a 2
2
where I = I zz .
3. The effect of the self weight (or mass) of the beam can also be included in finding the spring
constant of the beam (see Example 2.9 in Chapter 2).
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