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 [m^{4}]. *Young's * modulus of the beam is *E * = 2.0×10^{8}[kN/m^{2}].

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: Δ*a * = -2.75 [cm], Δ*b *= -4.75 [cm], Δ*d * = -2.2 [cm] and Δ*e *= -1.0 [cm].

**Case c:** Points *c *and *d * are supported by elastic springs that have stiffness of *k _{sb} *=

*k*= 3600 [kN/m].

_{sd }