The continuous slab shown in the figure, of span length L=5. 00 m and of thickness h=160 mm, is subjected to covering load ge=1.0 kN/m2 and live load q=5.0 kN/m2. Concrete class C50/60. Calculate the shear forces and bending moments envelopes for the three slabs, in ultimate limit state.
The design dead load for each slab is gd=1.00·5.0=5.0 kN/m and the total design load is pd=γg·g+γq·q=1.35·5.0+1.50·5.0=14.25 kN/m.
Manual calculations: I=(b·h3)/12=(1.0·0.163)/12=341·10-6 m4
Modulus of elasticity for concrete C50/60 is equal to E=37.3 GPa.
For I10=I12=I23=Ic, stiffness factors k distribution indices υ are:
Due to frame symmetry: και