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GATE 2024 MN – Question 33

Geomechanics and Ground Control · Geomechanics · 1 mark · Numerical answer

The 2 m scanline AB crosses the discontinuities shown. With $RQD=100(0.1\lambda+1)e^{-0.1\lambda}$ and λ the intersection frequency per metre, find RQD to two decimals.

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Correct answer: 85.00 to 87.00

Explanation

Count 13 discontinuity intersections along AB. Frequency isλ=13/2=6.5 per metre. Substitute: RQD=100(1+0.65)exp(−0.65)=86.1373%, or 86.14%. Count intersections with the scanline rather than every visible branch in the rock sketch.

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