EGB373-TUT 06-Week 07- Consolidation Settlement in soils-Answers-Colour

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Queensland University of Technology *

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373

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Mechanical Engineering

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Oct 30, 2023

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1.000 1.050 1.100 1.150 1.200 1.250 1.300 10 100 1000 Log( Effective stress kPa) Void Ratio Point with minimum radius (maximum curvature = 1/R) A Horizontal line at A Tangent at A Bisector s c ’ = 100 kPa The pre-consolidation pressure, σ c ’= 100 kPa Q1
1.000 1.050 1.100 1.150 1.200 1.250 1.300 10 100 1000 Log( Effective stress kPa) Void Ratio Slope: Compression index, C c Compression index, C c = 0.68 Select two points on the line AB: A B (90, 1.150) e 1 = 1.150 s 1 ’ =90 kPa Q1 conti.. (150, 1.000) e 2 = 1.000 s 2 ’ =150 kPa 68 . 0 ) 90 / 150 log( 150 . 0 90 log 150 log ) 000 . 1 150 . 1 ( log log ) ( ' 1 ' 2 2 1 s s e e C c
1.000 1.050 1.100 1.150 1.200 1.250 1.300 10 100 1000 Log( Effective stress kPa) Void Ratio Slope: Re-compression index, C r Re-compression index, C r = 0.15 Select two points on the line DE: D E (20, 1.250) e 1 = 1.250 s 1 ’ =20 kPa Q1 conti.. (1.200, 43) e 2 = 1.200 s 2 ’ =43 kPa 15 . 0 ) 20 / 43 log( 050 . 0 20 log 43 log ) 200 . 1 250 . 1 ( log log ) ( ' 1 ' 2 2 1 s s e e C r
Q2 e o =1.11 e c e f e s 0 ’=50 s c =100 s f =115 Log(σ ) Δσ =65kPa C r =0.08 C c =0.4 C r = 0.08 C c =0.4 Over consolidation ratio (OCR) = 2 kPa OCR c c c 100 50 2 ' 50 ' 2 ' ' 0 s s s s Pre-consolidation pressure (s c ) = 100 e 0 = 1.11 s 0 ’ =50 kPa Ds ’ = 65 kPa s f  s 0 + Ds ’ = 50+65 =115 kPa
Q2 Conti.. 086 . 1 50 100 log 08 . 0 11 . 1 50 100 log 08 . 0 ' ' log 0 D c c c o c r e e e e e C s s e o =1.11 e c e f e s 0 ’=50 s c =100 s f =115 Log(σ ) Δσ =65kPa C r =0.08 C c =0.4
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