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Example 2

(project <Β_422-2>)


Figure 4.2.3-12: Shear force envelopes
Figure 4.2.3-12: Shear force envelopes

The most unfavourable shear forces are equal to:


Figure 4.2.3-13: Front view of the 3D shear force diagrams, corresponding to the envelope of [Vx]
Figure 4.2.3-13: Front view of the 3D shear force diagrams, corresponding to the envelope of [Vx]


Figure 4.2.3-16: Front view of the 3D bending moment diagrams, corresponding to the envelope of [Mx]
Figure 4.2.3-16: Front view of the 3D bending moment diagrams, corresponding to the envelope of [Mx]

Notice that although the live load has a relatively high value, the shear forces do not differ more than 10%. Of course, this is due to the fact that only 2 spans exist and the unfavourable shear forces at the supports result from the global loading 1.35g+1.50q. The differences would be even higher in multiple spans.


Figure 4.2.3-15: Bending moment envelopes
Figure 4.2.3-15: Bending moment envelopes

The most unfavourable bending moments are equal to:



Note that although the live load has a relatively high value, the differences between the moments are small and less than 20%.


Figure 4.2.3-18: Deflection envelopes
Figure 4.2.3-18: Deflection envelopes

The most unfavourable slab deflection is equal to y=-2.94 mm (-2.10 mm) [*]NoteNoteThe respective results corresponding to global loading are shown in brackets. and y=+0.48, i.e. the slab is lifted in this case as well, in contrast with the response of global loading case.



Figure 4.2.3-20: Side view of the 3D deflection diagrams
Figure 4.2.3-20: Side view of the 3D deflection diagrams

Notice that the deflections are as high as 40% while opposite sign deformations also arise (blue lines).


 
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