Example 26: Analysis of a continuous beam
Description of the problem
To verify the mathematical model of
ELPLA
for analyzing continuous beams, results of a continuous beam introduced by
Harry
(1993) (Examples 10.2, 10.4 and 10.5, pages 399,
409 and 411) are compared with those obtained by
ELPLA.
A continuous beam of length
L
= 35 [m] is chosen as shown in Figure 60. The
beam is subjected to a point load of
P
= 500 [kN] at the center. The beam cross section
yields Moment of Inertia I
= 0.003 [m4].
Young's
modulus of the beam is
E
= 2.0*108[kN/m2].
For the comparison, three different cases are considered as
follows:
Case a: Continuous beam with a point load
P
at the center on supports at points
a,
b,
d
and e.
Case b: Instead of the point load
P
at the center of the beam, points
a,
b,
d
and
e have the following
support settlements: Δa
= -2.75 [cm], Δb
= -4.75 [cm], Δd
= -2.2 [cm] and Δe
= -1.0 [cm].
Case c: Points c
and
d
are supported by elastic springs that have
stiffness of ksb
= ksd
= 3600 [kN/m]. |
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