Rumus Mektan 1.pdf

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Hubungan Berat dan Hubungan Berat – volume

γt =

(Gs + wc × Gs)× γ w 1+ e

Kadar air, wc :

Ww wc = × 100% Ws Berat volume tanah, γt

(Gs + e × Sr )× γ w

γt =

1+ e

γ t = (1 + wc ) × Gs × γ w × (1 − n )

Wt γt = Vt

MENENTUKAN γd

Berat volume kering, γd

γd =

γd =

Ws Vt

Berat volume air, γw

γw =

Ww Vw

Berat volume butir, γs

Ws γs = Vs Berat jenis tanah (Specific grafity), Gs

Gs =

γs γw

w air suling

γd =

Angka pori, e

e=

Vv Vs

Porositas, n

n=

Vv × 100% Vt

Derajat kejenuhan, Sr

Vw × 100% Sr = Vv Hubungan e dan n

Vv Vv Vv n e= = = Vt = Vs Vt−Vv Vt Vv 1−n − Vt Vt Vv Vv Vv e Vs n= = = = Vt Vs + Vv Vs Vv 1 + e + Vs Vs MENENTUKAN γt

γ t = γ d × (1 + wc)

(1 + wc )

γd

γ w × (1 − n )

MENENTUKAN e

e=

n 1− n

e=

wc × Gs Sr

 (Gs + wc × Gs )× γ w  e=  −1 γ t  

Gs × γ w 1+ e

γ w × Gs − γ t γ t − Sr × γ w

γ d = Gs × γ w × (1 − n )

e=

MENENTUKAN WC

 Gs × γ w  e=  −1  γd 

γ wc =  t γ d wc =

pada 20o C Hubungan Volume

γt

Gs =

wc =

  − 1 

MENENTUKAN n

e × Sr Gs

n=

[γ t × (1 + e )] − (Gs × γ w )

  γt n = 1−    (1 + wc ) × Gs × γ w   γd  n = 1−    Gs × γ w 

Gs × γ w

  γt wc =   −1 γ ( 1 ) Gs × × − n w  

e 1+ e

Wt

MENENTUKAN Sr

Sr =

wc × Gs e

γ × (1 + e ) − Gs × γ w Sr = t e×γ w

basah ) Ws

= Berat tanah kering

Ww

= Berat air

Vt

= Volume total (volume tanah basah)

MENENTUKAN Gs

Gs =

e × Sr wc

(1 + e)× γ t (1 + wc )× γ w γ × (1 + e ) − e × Sr × γ w Gs = t

Gs =

γw

γt Gs = (1 + wc ) × γ w × (1 − n) γ × (1 + e ) Gs = d γw

= Berat total (berat tanah

Vs

= Volume butir

Vv

= Volume pori

Vw

= Volume air

Va

= Volume udara

Rumus Tanah Jenuh MENENTUKAN γsat

γ sat = γ d × (1 + wc)

γ sat =

(Gs + e)× γ w 1+ e

γ sat =

(Gs + wc × Gs)× γ w 1 + wc × Gs

wi =

Wt − Ws × 100% Ws

∆w =

(Vi − Vf ) × γ W × 100%

MENENTUKAN γd(ZAV)

γ d ( ZAV ) =

Gs × γ w 1 + wc × Gs

Ws

Dimana :

MENENTUKAN WC

Wt = Berat tanah basah

e wc = Gs

Ws = Berat tanah kering Vi

γ − Gs × γ w wc = sat Gs × (γ w − γ sat ) MENENTUKAN Gs

= Volume tanah basah

Vf = Volume tanah kering ∆w = Berat volume air

A=

IP (%.butiran. yang < 2µ )

e Gs = wc

Indek Plastis (IP) atau Plastisitas

 γ × (1 + e )  Gs =  sat  −e γw  

perbedaan antara Batas Cair dan

Gs =

tanah

γ sat

(γ w + γ w × wc − γ sat × wc )

MENENTUKAN e

“Indek

Plastis

Batas Plastis dari suatu tanah, atau

IP = LL - PL Indek Kecairan (IL) wc − PL IL = IP

e = wc × Gs

0 < IL <1

 γ − (γ w × Gs ) e =  sat   (γ W − γ sat ) 

dalam daerah Plastis

KERAPATAN RELATIF (RELATIVE DENSITY)

DR =

emaks − e emaks − emin

Dimana : DR = Kerapatan Relatif, biasanya dinyatakan dalam persen e

= Angka Pori tanah di lapangan

emaks = Angka Pori tanah dalam keadaan paling lepas emin = Angka Pori tanah dalam keadaan paling padat KONSISTENSI TANAH SL = wi (%) – ∆w (%) Dimana : wi = Kadar air mula-mula ∆w = Perubahan kadar air yaitu dari kadar air mula-mula kadar air dalam keadaan batas susut

adalah

IL ≥ 1 keadaan

cair

Tanah berada

Tanah

dalam

cair atau hampir

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