GC | Consolidation Settlement for Shallow Foundations

              z1 (m)
              
              z2 (m)
              
              Df (m)
              
              B (m)
              
              L (m)
              
              q (kPa)
              
              Clay Type
              
              Drainage Type
              
              mv (m2/kN)x10-5
              
              Cv (m2/s)x10-8
              
              t (month)
              
              z1: Starting of compressible layer measured from ground surface 

              z2: Ending of compressible layer measured from ground surface

              Df: Foundation depth 

              B: Foundation width

              L: Foundation length

              q: Stress due to foundation loads
            
              Clay Type: Behavior of compressible layer under loading

              mv: Coefficient of compressibility 

              Cv: Coefficient of consolidation 

              t: Consolidation time 

              Drainage Type Parameter for drainage path

Stress increase (q_z) at midpoint of compressible layer due to foundation load (q) is calculated by 2/1 method as follows:

q_z = (q x B x L) / [(B + z) x (L + z)]

q_z = {{temelAltiGerilmesi | round:2}} x {{tg | round:2}} x {{tl | round:2}} / [({{tg | round:2}} + {{ortaDerinlik | round:2}}) x ({{tl | round:2}} + {{ortaDerinlik | round:2}})]

q_z = {{stresArtisi | round:2}} kPa

Compressible layer thickness considering foundation depth (D_f) is calculated as H = {{sikisabilirTabakaKalinligi | round:2}} m. So;

s_oed = H x m_v x q_z = {{sikisabilirTabakaKalinligi | round:2}} x {{mv | round:2}} x 10^-5 x {{stresArtisi | round:2}}

s_oed = {{soed | round:3}} m = {{soedCM | round:1}} cm

Skemton ve Bjerrum correction factor for {{ kilTipiismi }} is selected as {{sbcf | round:2}} and consolidation settlement is calculated as;

s = μ x s_oed

s= {{sbcf | round:2}} x {{soedCM | round:1}} = {{s | round:2}} cm

In order to calculate the consolidation settlement in {{t | round:0}} months, Tv parameter should be calculated first.

Since drainage path is {{drenajTipiismi}}, H_dr = {{sikisabilirTabakaKalinligi}} / {{drenajTipi}} = {{drenajYolu}} m

T_v = c_v x t / H_dr²

T_v = ({{cv}} x 10^-8) x ({{t | round:0}} x 30 x 24 x 60 x 60) / {{drenajYolu}}²

T_v = {{tv | round:5}}

After calculating T_v parameter, U (%) can be calculated as follows:

0 ≤ U(%) ≤ 60 → U(%) = 100 x (4 x T_v / π)^0.5

60 < U(%) ≤ 100 → U(%) = 100- 10^{(1.781-Tv)/0.933}

U(%) = {{u | round:2}}

Finally, results are calculated and tabulated as follows:

Total (cm)	Time (month)	Completed (cm)	Remaining (cm)
{{s \| round:2}}	{{t \| round:0}}	{{sBiten \| round:2}}	{{sKalan \| round:2}}