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 [V_{x}] Figure 4.2.3-4: Front view of 3D shear force diagrams, corresponding to the envelope of [V_{x}]
Figure 4.2.3-5: Side view of 3D shear force diagrams, corresponding to the envelope of [V_{y}] Figure 4.2.3-5: Side view of 3D shear force diagrams, corresponding to the envelope of [V_{y}]
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 [M_{x}] Figure 4.2.3-7: Front view of 3D bending moment diagrams, corresponding to the envelope of [M_{x}]
Figure 4.2.3-8: Side view of 3D bending moment diagrams, corresponding to the envelope of [M_{y}] Figure 4.2.3-8: Side view of 3D bending moment diagrams, corresponding to the envelope of [M_{y}]
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
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).