Gate 2022 Civil Engineering solved paper with full explanation forenoon Q31 to Q40

Below the Gate 2022 Civil Engineering solved question paper(forenoon session ) which were held on 12-02-2022. The total number of questions are 65, 10 from aptitude and 55 from Civil Engineering. Question paper is cover in 7 pages and each page have 10 questions. Question on this page from 31 to 40 .

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Q 31.

An uncompacted heap of soil has a volume of 10000 m3 and void ratio of 1 . If the soil is compacted to a volume of 7500 m3 , then the corresponding void ratio of the compacted soil is _______ . (round off to one decimal place)

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Q 32.

A concentrated vertical load of 3000 KN is applied on a horizontal ground surface. Points P and Q are at depths 1 m and 2 m below the ground, respectively, along the line of application of the load.
Considering the ground to be a linearly elastic, isotopic, semi-infinite medium, the ratio of the increase in vertical stress at P to the increase in vertical stress at Q is +_____ . ( in integer )

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Q 33.

At s site, Static Cone Penetration Test was carried out. The measured point (tip) resistance qc was 1000 KPa at a certain depth. The friction ration (fr) was estimated as 1% at the same depth.
The value of sleeve (side) friction ( in KPa ) at that depth was _____ . (in integer )

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Q 34.

During a particular stage of the growth of a crop, the consumptive use of water is 2.8 mm/day . The amount of water available in the soil is 50 % of the maximum depth of available water in the root zone. Consider the maximum root zone depth of the crop as 80 mm and the irrigation efficiency as 70 % .
The interval between irrigation ( in days ) will be _____. ( round off to the nearest integer )

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Q 35.

The bearing of a survey line is N 31^ {\circ} 17 \,' W . Its azimuth observed from north is ____ deg. ( round off to two decimal places )

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Learn more : Previous year Gate papers of Civil Engineering with detailed solution

Learn more : GATE 2022 All  branches Aptitude Questions with detailed Solution

Q 36.

The Cartesian coordinates of a point P in a right handed coordinate system are ( 1, 1, 1). The transformed coordinates of P due to a 45 ^{\circ} . clockwise rotation of the coordinate system about the positive x-axis are
( 1, 0, \sqrt {2} )
( 1, 0, – \sqrt {2} )
( -1, 0, \sqrt {2} )
( -1, 0, – \sqrt {2} )

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Q 37.

A semi-circular bar of radius R m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude P KN is applied at the end H. The magnitude of the axial force, shear force and bending moment at point Q for \theta = 45^ {\circ} , respectively are
\dfrac {P} {\sqrt{2}} \; \textrm{KN} , \dfrac {P} {\sqrt{2}} \; \textrm{KN} ,\dfrac {PR} {\sqrt{2}} \; \textrm{KNm}
\dfrac {P} {\sqrt{2}} \; \textrm{KN} , \dfrac {P} {\sqrt{2}} \; \textrm{KN} , 0 \; \textrm{KNm}
0 \; \textrm{KNm} , \dfrac {P} {\sqrt{2}} \; \textrm{KN} ,\dfrac {PR} {\sqrt{2}} \; \textrm{KNm}
\dfrac {P} {\sqrt{2}} \; \textrm{KN} , 0 \; \textrm{KNm} , \dfrac {PR} {\sqrt{2}} \; \textrm{KNm}

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Q 38.

A weld is used for joining an angle section ISA 100 \, \textrm{mm} \, \times 100 \,\textrm{mm} \, \times \, 10 \textrm{mm} to a gusset plate of thickness 15 mm to transmit a tensile load. the permissible stress in the angle is 150 MPa and the permissible shear stress on the section through the throat of the fillet weld is 108 MPa . The location of the centroid of the angle is represented by Cyy in the figure, where Cyy = 28.4mm. The area of cross section of the angle is 1903 mm2 . Assuming the effective throat thickness of the weld to be 0.7 times the given weld size, the lengths L1 and L2 ( rounded-off to the nearest integer ) of the weld required to transmit a load equal to the full strength of the tension member are, respectively
541 mm and 214 mm
214 mm and 541 mm
380 mm and 151 mm
151 mm and 380 mm

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Learn more : Gate syllabus for Civil Engineering

Q 39.

The project activities are given in the following table along with duration and dependency.
ActivitiesDuration
(days)
Depends on
P10
Q12
R5P
S10Q
T10P, Q
Which one of the following combinations is correct ?
Total duration of the project = 22 days, Critical path is Q \rightarrow S
Total duration of the project = 20 days, Critical path is Q \rightarrow T
Total duration of the project = 22 days, Critical path is P \rightarrow T
Total duration of the project = 20 days, Critical path is P \rightarrow R

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Q 40.

The correct match between the physical states of the soils given in Group I and the governing conditions given In Group II is
Group I Group II
1. normally consolidated soilP. Sensitivity > 16
2. quick clayQ. dilation angle = 0
3. sand in critical stateR. liquid limit > 50
4. clay of high plasticity S. over consolidation ratio = 1
1- S, 2 – P, 3 – Q , 4 – R
1 – Q, 2 – S, 3 – P . 4 – R
1- Q, 2- P, 3 – R, 4 – S
1-S, 2 – Q, 3 – P, 4 – R

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