Mining Engineering
GATE MN Geomechanics PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 58. Imported answers require independent review unless marked reviewed.
Question 38
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A 3-point borehole extensometer is installed to identify the location of a single discontinuity plane in a hanging wall rock by measuring deformations at three locations as shown in the figure. The absolute readings of deformations measured on two different dates are listed in the table. Based on the measured data the most likely inference is
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In a uniaxial compressive strength test, a rock sample of diameter 50 mm fails at an angle of 60° as shown in the figure. If the peak load at failure is 120 kN, the normal and shear stresses on failure plane respectively, in MPa are ______ and _____.
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A circular tunnel of radius 3 m is constructed in a hydrostatic stress field of 15 MPa. The modulus of elasticity and Poisson’s ratio of the rock are 5 GPa and 0.25, respectively. A uniform support pressure
is applied at tunnel boundary to restrict the radial deformation at the tunnel boundary to 4 mm. The value of
in MPa is ______. (round off to two decimal places)Log in to check the answer
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A coal sample having moisture content of 8.0% has unit weight 15.6 kN/m³. The dry unit weight of the sample, in kN/m³ is _____. [round off to 2 decimal places]
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The Mohr circle of stress of a dry porous rock is shown in the figure. If the rock is fully saturated with a pore pressure
, then the Mohr circle takes the form of 
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The straight line shown depicts the failure criterion of a rock type. The values of stress at points A and B are as shown. The safety factor at the points A and B respectively are
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The plane stress condition is given by
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A rock sample has coefficient of thermal diffusivity 1.282×10⁻⁶ m²/s, specific heat 900 J/(kg °C) and density 2600 kg/m³. The coefficient of thermal conductivity of the rock sample in W/(m °C) is __________ (round off to 1 decimal place).
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Rock strata has unit weight of 25 kN/m³ and Poisson’s ratio 1/3. At a depth of 200 m, the horizontal stress in MPa is __________ (round off to 1 decimal place).
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A cylindrical sample of granular material has the following measurements:
Length: 10 cm
Diameter: 5 cm
Weight: 350 g
Assume the sample is completely dry with specific gravity of solid grains 2.8. The void ratio of the sample is __________ (round off to 3 decimal places).
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