GATE CE 2019 Set 1 — Question 64

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NAT+2 / -0HardMohr-Coulomb CriterionShear Strength of SoilsGeotechnical Engineering

Geotechnical Engineering → Shear Strength of Soils → Mohr-Coulomb Criterion

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Question

A 3 m×3 m3\text{ m} \times 3\text{ m} square precast reinforced concrete segments to be installed by pushing them through an existing railway embankment for making an underpass as shown in the figure. A reaction arrangement using precast PCC blocks placed on the ground is to be made for the jacks.
Diagram showing the setup for pushing precast RCC segments through an embankment using jacks and PCC blocks for reaction
At each stage, the jacks are required to apply a force of 1875 kN1875\text{ kN} to push the segment. The jacks will react against the rigid steel plate placed against the reaction arrangement. The footprint area of reaction arrangement on natural ground is 37.5 m237.5\text{ m}^2. The unit weight of PCC block is 24 kN/m324\text{ kN/m}^3. The properties of the natural ground are: c=17 kPac = 17\text{ kPa}; ϕ=25\phi = 25^\circ and γ=18 kN/m3\gamma = 18\text{ kN/m}^3. Assuming that the reaction arrangement has rough interface and has the same properties that of soil, the factor of safety (round off to 1 decimal place) against shear failure is ________
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