GATE-CE-2010 - Page 1 CE Gate 2010 Q No 1 25 Carry One Mark...

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Q. No. 1 – 25 Carry One Mark Each 1. x 0 2 sin x 3 The lim is x (A) 2 3 (B) 1 (C) 1 4 (D) 1 2 2. Two coins are simultaneously tossed. The probability of two heads simultaneously appearing is (A) 1 8 (B) 1 6 (C) 1 4 (D) 1 2 3. The order and degree of the differential equation 3 3 2 3 d y dy 4 y 0 are respectively dx dx + + = 5. For the truss shown in the figure, the force in the member QR is 6. The major and minor principal stresses at a point are 3MPa and -3MPa respectively. The maximum shear stress at the point is (A) Zero (B) 3MPa (C) 6MPa (D) 9MPa Q T L S R L P 4. Two people weighing W each are sitting on a plank of length L floating on water at from either end. Neglecting the weight of the plank, the bending moment L 4 at the centre of the plank is WL 32 Page 1
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7. The number of independent elastic constants for a linear elastic isotropic and homogeneous material is (A) 4 (B) 3 (C) 2 (D) 1 8. The effective length of a column of length L fixed against rotation and translation at one end and free at the other end is 9. As per India standard code of practice for pre stressed concrete (IS:1343-1980) the minimum grades of concrete to be used for post-tensioned and pre-tensioned structural elements are respectively 10. A solid circular shaft of diameter d and length L is fixed at one end and free at the other end. A torque t is applied at the free end. The shear modulus of the material is G. The angle of twist at three free ends is 16TL d G π 32TL d G π 64TL d G π 128TL d G π 11. In a compaction test, G, w, S and e represent the specific gravity, water content, degree of saturation and void ratio of the soil sample, respectively. If γ w represents the unit weight of water and γ w represents the dry unit weight of the soil, the equation for zero air voids line is (A) w d G 1 Se γ γ + (B) w d G 1 Gw γ γ + (C) w d w G e S γ γ + γ (D) d Gw 1 Se γ + 12. A fine grained soil has liquid limit of 60 and plastic limit of 20. As per the plasticity chart, according to IS classification, the soil is represented by the letter symbols
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  • Spring '14
  • Shear Stress, Orders of magnitude, hockey, ⏐CE⏐ GATE

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