1. General characteristics#

1.1. Geometry#

It is a beam that is simply supported on its two supports [Figure 1.1-a].

_images/1007EACC000031320000313263846BFE75B4E5C2.svg

Figure 1.1-a: structure geometry

1.2. Material properties#

  • Concrete: \(E=37272\mathrm{MPa}\), \(\nu =0.2\), \(\rho =2400\mathrm{kg}/{m}^{3}\)

  • steel: \(E=200000\mathrm{MPa}\), \(\nu =0.33\), \(\rho =7800\mathrm{kg}/{m}^{3}\)

  • damping: Rayleigh type (\(\alpha K+\beta M\)), with 5% on modes 1 and 2

1.3. Boundary conditions and loads#

Simple press in \(B\): \(\mathrm{dy}=0\)

Press « double » in \(A\): \(\mathrm{dx}=\mathrm{dy}=0\)

To avoid out-of-plane modes, the following degrees of freedom are blocked all over the beam: \(\mathrm{rx}=\mathrm{ry}=\mathrm{dz}=0\)

Loading: earthquake ac_s2_c_1 [Figure 1.3-a], in the \(\mathrm{OY}\) axis applied to both supports (signal amplification factor = 137).

NB: transverse reinforcements are not taken into account in the calculations

_images/1001458C000032DA00001E6310CCD41E14FA24CF.svg

Figure 1.3-a: Accelerogram ac_s2_c_1 imposed on the structure