GATE CE 2023 Paper 2 — page 11

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

The steady-state temperature distribution in a square plate ABCD is governed by the 2-dimensional Laplace equation. The side AB is kept at a temperature of 100 °C and the other three sides are kept at a temperature of 0 °C. Ignoring the effect of discontinuities in the boundary conditions at the corners, the steady-state temperature at the center of the plate is obtained as T₀ °C. Due to symmetry, the steady-state temperature at the center will be same (T₀ °C), when any one side of the square is kept at a temperature of 100 °C and the remaining three sides are kept at a temperature of 0 °C. Using the principle of superposition, the value of T₀ is __________ (round off to two decimal places).

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An unconfined compression strength test was conducted on a cohesive soil. The test specimen failed at an axial stress of 76 kPa. The undrained cohesion (in kPa, in integer) of the soil is __________.

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The pressure in a pipe at X is to be measured by an open manometer as shown in figure. Fluid A is oil with a specific gravity of 0.8 and fluid B is mercury with a specific gravity of 13.6. The absolute pressure at X is __________ kN/m² (round off to one decimal place). [Assume density of water as 1000 kg/m³ and acceleration due to gravity as 9.81 m/s² and atmospheric pressure as 101.3 kN/m²]

Diagram for Civil Engineering question 33

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2023 · Paper 2

Question 31

Question 32

Question 33