The total stress paths corresponding to different loading conditions, for a soil specimenunder the isotropically consolidated stress state (O), are shown below Stress Path Loading Condition OP I-Compression loading(\sigma_{1}- increasing; \sigma_{3} - constant) OQ II-Compression unloading (\sigma_{1}- constant ; \sigma_{3} - decreasing) OR III- Extension unloading (\sigma_{1}- decreasing; \sigma_{3} - constant) OS IV - Extension loading (\sigma_{1} -constant; \sigma_{3} -increasing) The correct match between the stress paths and the listed loading conditions, is

Correct Answer is : OP−IV,OQ−III,OR−I,OS−II

OP - IV, {OQ}- {III}, {OR}- {I}, {OS}- {II}

OP- {III}, {OQ}- {II}, {OR}- {I}, {OS}- {IV}

O P-I, O Q-I I I, O R-I I, O S-I V

OP-I, O Q-I I, O R-I V, O S-I I I

GATE Civil Engineering (CE) 2020 Shift 1 Solved Paper

Question : 39 of 65

Marks: +1, -0

The total stress paths corresponding to different loading conditions, for a soil specimenunder the isotropically consolidated stress state (O), are shown below

Stress Path	Loading Condition
OP	I-Compression loading $(σ_{1}-$ increasing; $σ_{3}$ - constant)
OQ	II-Compression unloading $(σ_{1}-$ constant $; σ_{3}$ - decreasing)
OR	III- Extension unloading $(σ_{1}-$ decreasing; $σ_{3}$ - constant)
OS	IV - Extension loading $(σ_{1}$ -constant; $σ_{3}$ -increasing)

The correct match between the stress paths and the listed loading conditions, is

$OP - IV, {OQ}- {III}, {OR}- {I}, {OS}- {II}$
$OP- {III}, {OQ}- {II}, {OR}- {I}, {OS}- {IV}$
$O P-I, O Q-I I I, O R-I I, O S-I V$
$OP-I, O Q-I I, O R-I V, O S-I I I$

Validate

Solution:

σ_{1}

const

σ_{3} ↑ →

y coord

↓ & \times ↑

σ_{1} ↓ \; & \; σ_{3}=

const

\to y

axis

↓ \;& \;× ↓

σ_{1} ↑ \;&\; σ_{3}=

const

=x

axis

↑ \;&\; y ↑

σ_{1}

const

σ_{3} ↓ → y

axis

↑ \;& \;y ↓

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