Example 14: Beam foundation on elastic springs
Description of the problem
To verify the mathematical model of
ELPLA
for analyzing beam foundations, the results of beam foundation on elastic springs obtained by
Rombach
(2000) (Section 2.4.2, page 34) are compared with those obtained by
ELPLA.
The geometry and the load of the foundation are the same as
those of Rombach
(2000) as shown in Figure 19. A strip foundation of thickness
d
= 0.60 [m] and length
L
= 5.0 [m] is considered.
The analysis is carried out for 1.0 [m] width stripe. The
beam cross section yields Moment of Inertia I
= 0.018 [m4] and Torsion modulus
J
= 0.045077 [m4]. The beam is subjected to a wall load of P
= 1000 [kN/m] at the center.
The parameters of beam material (Concrete C30/70) are
Young's
modulus
Eb
= 3.2 * 107[kN/m2] and Shear modulus
G
= 1.3 * 107 [kN/m2]. Modulus of subgrade reaction
of the soil is ks
= 50000 [kN/m ]. |