Soil Mechanics Topics - GATE CE Syllabus

1

Three-phase system

1m2/10

📌 Key Formulae = Vv/Vs, n = Vv/Vt

2

Phase relationships

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📌 Key Formulaw = Ww/Ws, γ = W/V

3

Index properties

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📌 Key FormulaLL, PL, PI = LL-PL

4

Unified and Indian standard soil classification system

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5

Permeability - one dimensional flow

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📌 Key FormulaDarcy's: v = k i

6

Seepage through soils

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📌 Key Formulaq = k H (Nf/Nd)

7

Two - dimensional flow

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📌 Key FormulaLaplace equation

8

Flow nets

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📌 Key FormulaNf/Nd ratio

9

Uplift pressure

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📌 Key FormulaAverage head at base

10

Piping

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📌 Key FormulaCritical hydraulic gradient i_cr = (G-1)/(1+e)

11

Capillarity

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📌 Key Formulah_c = (2 T cosα)/(r γ_w)

12

Seepage force

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📌 Key FormulaJ = i γ_w per unit volume

13

Principle of effective stress

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📌 Key Formulaσ' = σ - u

14

Quicksand condition

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📌 Key Formulai_cr = (G-1)/(1+e)

15

Compaction of soils

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📌 Key FormulaDry density γ_d = γ / (1+w)

16

One- dimensional consolidation

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📌 Key FormulaCv = Tv H_dr² / t

17

Time rate of consolidation

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📌 Key FormulaU = f(Tv), Tv = Cv t / H_dr²

18

Shear Strength

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📌 Key Formulaτ = c + σ' tanφ

19

Mohr’s circle

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📌 Key FormulaCentre ( (σ1+σ3)/2 , 0 ), Radius (σ1-σ3)/2

20

Effective and total shear strength parameters

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📌 Key Formulac', φ' vs c_u, φ_u

21

Stress-Strain characteristics of clays and sand

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22

Stress paths

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📌 Key Formulap-q plot