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Exercise 4.9.5

Given : Covering load gεπ=1.5 kN/m2, live load q=5.0 kN/m2, concrete quality C40/50.

Question : Perform static analysis of the slabs illustrated in the figure (shears forces, bending moments, deflections) using the finite element method with (a) global loading and (b) unfavourable loadings.

Figure 4.9.5-1: project <B_464>
Figure 4.9.5-1: project <B_464>

Solution:

Slabs are identical to those of the example of §4.6.4.

g=0.15x25.0+1.5=5.25 kN/m2

q=5.0 kN/m2

In ULS, the maximum design load is equal to:

pd=1.35g+1.50q=1.35x5.25+1.50x5.0=

=14.59 kN/m2

Software requires only characteristic loads of the structure to be inserted while the rest are obtained through internal calculations.

Due to both structure and loading being symmetric, results will also be symmetrical for both slabs.

 Figure 4.9.5-2: Bending moment diagrams Figure 4.9.5-2: Bending moment diagrams Figure 4.9.5-3: Shear force diagrams Figure 4.9.5-3: Shear force diagrams Mx=13.9 kNm, My=12.4 kNm, Myerm=-34.6 kNm Vxr=23.6 kN, Vyr=24.1 kN, Vyerm=45.5 kN Figure 4.9.5-4: Deflection diagrams Figure 4.9.5-4: Deflection diagrams Figure 4.9.5-5: Deflection diagrams and contours Figure 4.9.5-5: Deflection diagrams and contours ymax=4.03 mm