Civil Engineering
2021 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE CE 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.
Question 45
Open questionCENAT2 marksNeeds review
A retaining wall of height 10 m with clay backfill is shown in the figure (not to scale). Weight of the retaining wall is 5000 kN per m acting at 3.3 m from the toe of the retaining wall. The interface friction angle between base of the retaining wall and the base soil is 20°. The depth of clay in front of the retaining wall is 2.0 m. The properties of the clay backfill and the clay placed in front of the retaining wall are the same. Assume that the tension crack is filled with water. Use Rankine’s earth pressure theory. Take unit weight of water,
.
The factor of safety (round off to two decimal places) against sliding failure of the retaining wall after ignoring the passive earth pressure will be
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 46
Open questionCENAT2 marksNeeds review
A combined trapezoidal footing of length
supports two identical square columns (
and
) of size 0.5 m × 0.5 m, as shown in the figure
. The columns
and
carry loads of 200 kN and 150 kN, respectively. If the stress beneath the footing is uniform, the length of the combined footing
(in m, round off to two decimal places) isLog in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 47
Open questionCENAT2 marksNeeds review
An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face makes an angle 50° with the horizontal. The slope material comprises purely cohesive soil having undrained cohesion 75 kPa. A trial slip circle KLM, with a radius 25 m, passes through the crest and toe of the slope and it subtends an angle 60° at its center O.
The weight of the active soil mass (
, bounded by KLMN) is 2500 kN/m, which is acting at a horizontal distance of 10 m from the toe of the slope. Consider the water table to be present at a very large depth from the ground surface. Considering the trial slip circle KLM, the factor of safety against the failure of slope under undrained condition (round off to two decimal places) isLog in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer