FINALS

Question 1

VOID RATIO

Answer 1

e = n / (1-n)

e = Vv / Vs

Question 2

POROSITY

Answer 2

n = e / (1+e)

n = Vv / V

Question 3

AIR VOID RATIO

Answer 3

= (e - wGs) / (1+e)

= n (1-s)

Question 4

DEGREE OF SATURATION

Answer 4

s = Vw / Vv

s = wGs / e

Question 5

DRY UNIT WEIGHT

Answer 5

γ𝒹 = Gsγ𝓌 / (1+e)

γ𝒹 = Ws / Vᴛ

γ𝒹 = γₘ/(1+w)

γ𝒹 = (Gs+γ𝓌) / (1+Gsw/s)

Question 6

UNIT WEIGHT OF SOIL

Answer 6

γ = Wᴛ / Vᴛ

Question 7

MOIST UNIT WEIGHT

Answer 7

γm = γ𝒹 (1+w)

Question 8

ZERO AIR VOID UNIT WEIGHT

Answer 8

γ𝓏ₑᵣₒ = Gsγ𝓌 / (1+wGs)

Question 9

MOISTURE CONTENT

Answer 9

w = (Ww-Ws) / Ws

Question 10

SATURATED UNIT WEIGHT

Answer 10

γₛₐₜ = ((Gs+e)γ𝓌) / (1+e)

Question 11

SUBMERGED UNIT WEIGHT OR EFFECTIVE UNIT WEIGHT

Answer 11

γ = ((Gs-1)γ𝓌) / (1+e)

Question 12

MOIST UNIT WEIGHT IN TERMS OF DEGREE OF SATURATED AND VOID RATIO

Answer 12

γ = ((Gs+Se)γ𝓌) / (1+e)

Question 13

PLASTIC INDEX

Answer 13

PI = LL-PL

Question 14

LIQUIDITY INDEX

Answer 14

LI = (w -PL) / (LL-PL)

Question 15

CONSISTENCY INDEX

Answer 15

CI = (LL-w) / (LL-PI)

Question 16

SHRINKAGE RATIO

Answer 16

SR = m₂ / v₂ρ𝓌

Question 17

SPECIFIC GRAVITY

Answer 17

Gs = (1/SR - SL/100)⁻¹

Question 18

SHRINKAGE LIMIT

Answer 18

SL = ((m₁-m₂)/m₂)(100) - ((v₁-v₂)/m₂)ρ𝓌(100)

Question 19

MOIST UNIT WEIGHT OF COMPACTION

Answer 19

γ = w / Vm

Question 20

RELATIVE COMPACTION (%)

Answer 20

R% = (γ𝒹(ғɪᴇʟᴅ) / γ𝒹(ᴍᴀx-ʟᴀʙ)) x100

Question 21

RELATIVE DENSITY

Answer 21

Dr = ((γ𝒹(ғɪᴇʟᴅ) - γ𝒹(ᴍɪɴ))/(γ𝒹(ᴍᴀx)-γ𝒹(ᴍɪɴ))) (γ𝒹(ᴍᴀx)/γ𝒹(ғɪᴇʟᴅ))

Question 22

RELATIVE COMPACTION

Answer 22

R = Ro / (1 - Dr(1-Ro)

Question 23

Ro FORMULA

Answer 23

Ro = γ𝒹(ᴍɪɴ) / γ𝒹(ᴍᴀx)

Question 24

HYDRAULIC GRADIENT

Answer 24

i = h/L

Question 25

DISCHARGE VELOCITY

Answer 25

v = ki v = Q/A

Question 26

FLOW RATE

Answer 26

Q = kiA Q = Av

Question 27

SEEPAGE VELOCITY

Answer 27

Vs = v/n

Question 28

CONSTANT HEAD

Answer 28

K = QL/Aht

Question 29

FALLING HEAD TEST

Answer 29

K = (aL/At) ln (h₁/h₂)

Question 30

HORIZONTAL HYDRAULIC CONDUCTIVITY

Answer 30

Kʜ(ᴇǫ) = (K₁H₁ + K₂H₂ + K₃H₃) / H H = H₁ + H₂ + H₃

Question 31

VERTICAL HYDRAULIC CONDUCTIVITY

Answer 31

Kᴠ(ᴇǫ) = H / (H₁/Kv₁ + H₂/Kv₂ + H₃/Kv₃

Question 32

UNCONFINED AQUIFER

Answer 32

K = (Q ln (r₁/r₂)) / π (h₁² - h₂²)

Question 33

CONFINED AQUIFER

Answer 33

K = Q ln (r₁/r₂) / 2πt (h₁ - h₂)

Question 34

TRANSMISSIBILITY

Answer 34

T=Kt T = (Q ln (r₁/r₂)) / 2π (h₁ - h₂)

Question 35

TOTAL STRESS

Answer 35

δ = Σγh

Question 36

PORE WATER PRESSURE

Answer 36

u = γ𝓌 (h)

Question 37

EFFECTIVE STRESS

Answer 37

δ' = δ - u

Question 38

CAPILLARY STRESS

Answer 38

c = sγ𝓌h

Question 39

CAPILLARY RISE

Answer 39

h = c/eD₁₀

Question 40

TOTAL SETTLEMENT

Answer 40

Sᴛ = Sᴄ + Ss + Se

Question 41

COMPRESSION INDEX

Answer 41

Cc = 0.009 (LL-10)

Question 42

NORMALLY CONSOLIDATED CLAY

Answer 42

Sc = CcH/(1+eₒ) log (Pₒ+ΔP)/Pₒ

Question 43

AVERAGE INCREASE EFFECTIVE STRESS

Answer 43

ΔP = (Pᴛ + 4Pᴍ + Pʙ) / 6 P = APPLIED FORCE / ((B+z)(L+z)

Question 44

OVER-CONSOLIDATED CLAY WHEN Pₒ + ΔP < Pc

Answer 44

Sc = CsH/(1+eₒ) log ((Pₒ+ΔP)/Pₒ)

Question 45

OVER-CONSOLIDATED CLAY WHEN Pₒ + ΔP > Pc

Answer 45

Sc = CsH/(1+eₒ) log (Pc/Pₒ) + CcH/(1+eₒ) log (Pₒ+ΔP)/Pc

Question 46

SECONDARY SETTLEMENT

Answer 46

Ss = Ca'H log (t₂/t₁)

Question 47

Ca' FORMULA

Answer 47

Ca' = Ca/(1+eₚ)

Question 48

SECONDARY COMPRESSION INDEX

Answer 48

Ca = Δe / log(t₂/t₁)

Question 49

VOID RATIO AT THE END OF PRIMARY SETTLEMENT

Answer 49

eₚ = eₒ - Δe

Question 50

CHANGE IN VOID RATIO

Answer 50

Δe = Cc log (Po+ΔP)/Po

Question 51

ACTIVE SOIL PRESSURE

Answer 51

Ka = cosβ ((cosβ - √(cos²β - cos²φ)) / (cosβ + √(cos²β - cos²φ))) When β=0 Ka = (1-sinφ) / (1+sinφ)

Question 52

PASSIVE SOIL PRESSURE

Answer 52

Kp = cosβ ((cosβ + (cosβ + √(cos²β - cos²φ)) / ((cosβ - √(cos²β - cos²φ))) When β=0 Kp = (1+sinφ) / (1-sinφ)

Question 53

REST SOIL PRESSURE

Answer 53

Ko = 1-sinφ

Question 54

PRESSURE OF SOIL

Answer 54

Ps = Kγh

Question 55

PRESSURE ON ACTIVE OR PASSIVE COHESION

Answer 55

Pc = 2c√K

Question 56

PRESSURE SURCHAGE

Answer 56

Pq = Kq

Question 57

PRESSURE WATER

Answer 57

Pw = γh