2021 · Paper 1

Complete GATE CE 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

Question 42

Open question

CENAT2 marksNeeds review

A square plate O-P-Q-R of a linear elastic material with sides 1.0 m is loaded in a state of plane stress. Under a given stress condition, the plate deforms to a new configuration O′-P′-Q′-R′ as shown in the figure (not to scale). Under the given deformation, the edges of the plate remain straight.



The horizontal displacement of the point (0.5 m, 0.5 m) in the plate O-P-Q-R (in mm, round off to one decimal place) is

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Question 43

Open question

CENAT2 marksNeeds review

A small project has 12 activities – N, P, Q, R, S, T, U, V, W, X, Y, and Z. The relationship among these activities and the duration of these activities are given in the Table.

Activity	Duration (in weeks)	Depends upon
N	2	-
P	5	N
Q	3	N
R	4	P
S	5	Q
T	8	R
U	7	R, S
V	2	U
W	3	U
X	5	T, V
Y	1	W
Z	3	X, Y

The total float of the activity “V” (in weeks, in integer) is

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Question 44

Open question

CENAT2 marksNeeds review

The soil profile at a construction site is shown in the figure (not to scale). Ground water table (GWT) is at 5 m below the ground level at present. An old well data shows that the ground water table was as low as 10 m below the ground level in the past. Take unit weight of water,



.



The overconsolidation ratio (OCR) (round off to two decimal places) at the mid-point of the clay layer is

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