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GATE 2023 MN – Question 37

Geomechanics and Ground Control · Ground Control · 2 marks · Multiple choice

An 8 m diameter tunnel has rock-mass quality Q = 1.0 and excavation support ratio ESR = 1.0. Using the supplied Grimstad–Barton (1993) chart, choose the tunnel-wall fibre-reinforced shotcrete and bolt requirement.

Diagram for GATE 2023 MN question 37
  1. Shotcrete 9–12 cm; bolts 2.7–2.8 m
  2. Shotcrete 9–12 cm; bolts 3.0–3.2 m
  3. Shotcrete 5–9 cm; bolts 2.7–2.8 m
  4. Shotcrete 5–9 cm; bolts 2.5–2.6 m

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Show answer and explanation

Correct answer: (C) Shotcrete 5–9 cm; bolts 2.7–2.8 m

Explanation

Equivalent dimension is diameter/ESR = 8. For wall support in the intermediate Q range, use the wall-adjusted rock quality, 2.5Q = 2.5. Plot this against equivalent dimension 8 on the supplied chart: the fibre-reinforced shotcrete band is 5–9 cm, and the right-hand bolt-length scale reads about 2.7–2.8 m. Hence C. Treating this as an unadjusted roof-support point selects an unnecessarily heavier band.

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