GATE MN topic:geomechanics PYQs & Answers — Page 2

Questions 11–20 of 58. Imported answers require independent review unless marked reviewed.

A pit slope has the following information:

Number of benches = 5

Height of each bench = 8 m

Bench slope angle = 70 degree

If width of one bench is 24 m and that of other four benches is 10 m each, the overall pit slope angle, in degree, is ________ (rounded off to 2 decimal places).

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A longwall panel is to be developed in a flat seam at a depth of H m. The surface subsidence profile (s) of the area with the horizontal distance x is estimated as

where, S_ is the maximum subsidence at the centre of the panel, x is measured from the inflection point. The value of x is negative towards the panel centre and positive towards the panel boundary.

The ratio between the critical width of the panel and the depth is_____ (rounded off to 2 decimal places).

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If the major (

) and minor (

) principal stresses for a rock element have a relationship as

, the maximum shear stress is expressed by

Your answerChoose one option.

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The void ratio of an unconsolidated soil heap of volume 1000 m

is 1.0. If the soil heap is consolidated to a volume of 800 m

, the corresponding void ratio is_______. (round off up to 2 decimals)

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A scanline survey between points A and B of a rock mass is shown. Consider

where,

is the frequency of discontinuity per m. The RQD of the rock mass is_______. (round off up to 2 decimals)

Diagram for Mining Engineering question 33

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A Mohr-Coulomb envelop between shear stress,

and normal stress,

of a sandstone rock is given as

(unit of stress is MPa)

A sandstone sample is tested in triaxial mode with confining pressure of 5.0 MPa. The value of the shear stress,

in MPa at the failure, is_____. (round off up to 2 decimals)

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A circular tunnel is constructed at a depth of 100 m. The average unit weight of overburden rock is 27.0 kN/m

. If the tangential stress measured at point A located at the horizontal boundary of the tunnel as shown, is 5.0 MPa, the tangential stress at point B in MPa, is_____. (round off up to 2 decimals)

Diagram for Mining Engineering question 55

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In an opencast coal mine, blast vibrations are measured at two locations, A and B simultaneously for a maximum charge per delay (Q) of 100 kg is given.

Location	Distance from the blast face, D (m)	PPV (mm/s)
A	100	112.5
B	300	20.3

Assume the relation

where, K and

are site constants. The PPV in mm/s, at a distance of 200 m from the blast face, is _____. (round off up to 2 decimals)

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A shear stress

acts tangentially to the upper surface of a block and causes a small deformation

as shown. The shear strain is calculated by

Diagram for Mining Engineering question 13

Your answerChoose one option.

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Axial stress versus axial strain curves for two test results of a porous rock from triaxial undrained compression tests are shown in the figure. The pore water pressure for the curve B can be the best explained by

Diagram for Mining Engineering question 15

Your answerChoose one option.

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GATE MN topic:geomechanics PYQs

Question 47

Question 51

Question 22

Question 31

Question 33

Question 54

Question 55

Question 61

Question 13

Question 15