« Unfavourable loadings and envelopes of stresses - deflections Example 2 »

 

Example 1

(project <Β_422-1>)


Figure 4.2.3-3: Shear forces envelopes
Figure 4.2.3-3: Shear forces envelopes

The most unfavourable shear forces are equal to:


Figure 4.2.3-4: Front view of 3D shear force diagrams, corresponding to the envelope of [Vx]
Figure 4.2.3-4: Front view of 3D shear force diagrams, corresponding to the envelope of [Vx]


Figure 4.2.3-5: Side view of 3D shear force diagrams, corresponding to the envelope of [Vy]
Figure 4.2.3-5: Side view of 3D shear force diagrams, corresponding to the envelope of [Vy]

Note that although the live load has a relatively high value, the differences between the shear forces do not exceed 8%.


Figure 4.2.3-6: Bending moment envelopes
Figure 4.2.3-6: Bending moment envelopes

The most unfavourable bending moments are equal to:


Figure 4.2.3-7: Front view of 3D bending moment diagrams, corresponding to the envelope of [Mx]
Figure 4.2.3-7: Front view of 3D bending moment diagrams, corresponding to the envelope of [Mx]


Figure 4.2.3-8: Side view of 3D bending moment diagrams, corresponding to the envelope of [My]
Figure 4.2.3-8: Side view of 3D bending moment diagrams, corresponding to the envelope of [My]

Note that although the live load has a relatively high value, the differences between the bending moments are small and less than15%.


Figure 4.2.3-9: Deflection envelopes
Figure 4.2.3-9: Deflection envelopes

The largest slab deflection is equal to y=-2.00 (-1.53) [*]NoteNoteThe respective results corresponding to global loading are shown in brackets. mm and y=+0.24 mm. It is concluded that the slab is lifted, which is in contrast with the responseof the global loading case, due to symmetry of course.


Figure 4.2.3-10: Front view of 3D deflection diagrams
Figure 4.2.3-10: Front view of 3D deflection diagrams


Figure 4.2.3-11: Side view of 3D deflection diagrams
Figure 4.2.3-11: Side view of 3D deflection diagrams

Notice that the deflections are as high as 30% while opposite sign deformations also arise (blue lines).

 
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