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4.3 Tolerable settlement

As discussed above, limits on uniform settlement are usually associated to the function of the building e.g., access, connection to services etc. Limits on differential settlement (or differential deflection) and angular distortion, which are defined in Figure 4.6, depend on the type of the structure, and on the properties of the load-bearing frame. Building codes and standards, such as AS2870, impose limits on the maximum differential settlement to prevent e.g., cracks in masonry walls. Such limits for residential slabs and footings are presented in Table 4.1. Poulos et al. (2001) summarise typical limit values of uniform settlement, angular distortion, tilt and deflection for various types of structures. These limits are presented in Table 4.2. Of course other, perhaps stricter, project-specific limits may apply.

The top figure defines differential settlement of a structure with 2 supports as Δ=ρ_1-ρ_2 and angular distortion as Δ/Li, where Li is the distance between the supports. The bottom figure defines differential settlement of a structure with multiple supports. In that case Li is the distance between two successive supports.
Figure 4.6. Definition of differential settlement and of angular distortion.
Table 4.1. Maximum allowable differential settlement (deflection) of footings and rafts (AS2870).
Structure type Maximum allowable differential settlement (differential deflection), as function of span length, L Maximum allowable differential settlement (differential deflection), (units: mm)
Clad frame L/300 40
Articulated masonry veneer L/400 30
Masonry veneer L/600 20
Articulated full masonry L/800 15
Full masonry L/2000 10

 

Table 4.2. Recommended settlement, angular distortion, tilt and deflection criteria, for various types of structures (Poulos et al. 2001).
Structure type Criterion Limitation Recommended value
Common framed buildings and reinforced load-bearing walls Structural damage Angular distortion 1/150 to 1/250
Cracking in walls and partitions Angular distortion 1/500; 1/1000 to 1/1400 for end bays
Visual appearance Tilt 1/300
Connection to services Total settlement 50 to 75 mm for coarse-grained foundation soil; 50 to 135 mm for fine-grained foundation soil
Tall buildings Operation of lifts Tilt 1/1200 to 1/2000
Unreinforced load-bearing structural elements (e.g., masonry) Cracking by relative sag Deflection ratio (maximum relative deflection in a panel/panel length) 1/2500 for wall length/height ratio = 1; 1/1250 for wall length/height ratio = 5
Cracking by relative hog Deflection ratio (maximum relative deflection in a panel/panel length) 1/5000 for wall length/height ratio = 1; 1/2500 for wall length/height ratio = 5
Bridges Ride quality Total settlement 100 mm
Function Horizontal movement 38 mm
Structural damage Angular distortion 1/250 for multispan bridges; 1/200 for single span bridges

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