1. Two forces P and Q are acting at an angle as shown in the figure. In terms of these quantities, what are values of R and respectively?

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1 1. Two forces P and Q are acting at an angle as shown in the figure. In terms of these quantities, what are values of R and respectively? Q R P a) Qsin P Q PQ cos and tan 1 P Q cos b) Qsin P Q PQ cos and tan 1 P Q cos c) Qsin P Q PQ cos and tan 1 P Qcos d) Qsin P Q PQ cos and tan 1 P Qcos. Ratio of deflection at the free end of a cantilever in case of uniformly distributed load w and in case of a point load of wl at the free end is. L is the length of the cantilever beam. a) 3:5 b) 1: c) 3:8 d) 3:7 3. The ratio between average and maximum shear stress in a circular beam is a) 3: Page 1 of 19

2 b) :3 c) :3 d) 3:. The maximum normal stress in a circular shaft of diameter D subject to bending moment M and torque T 16 a) M M T D 3 3 b) M M T D 3 3 c) M M T D 3 6 d) M M T D 3 5. According to Euler s theory, the critical load (P) for a column with length l, flexural rigidity EI and both ends fixed is EI a) l EI b) l EI c) l EI d) 3l 6. Which of the following statements is correct for an under-reinforced beam? a) depth of actual neutral axis will be less than that of the critical neutral axis b) depth of actual neutral axis will be more than that of the critical neutral axis c) depth of actual neutral axis will be equal to the depth of critical neutral axis Page of 19

3 7. Refer to the Mohr s circle below. It is for two unequal and like principal stresses ( x and y ) acting on a body across two mutually perpendicular planes. The normal stress on an oblique section making an angle with the minor principal plane is given by P O B C Q a) OP b) OC c) OQ d) PQ 8. Units of surface tension and unit weight are respectively a) N/m and N/m 3 b) N/m and kg/m 3 c) Nm and N/m 3 d) Nm and kg/m 3 9. A square plate of side 50 cm is vertically placed in such a way that one of its edges touches the water surface. Depth of centre of pressure is a) 5.67 cm b) cm Page 3 of 19

4 c) cm 10. For a most economical channel section A) discharge is maximum for a given cross-sectional area and bed slope B) wetted perimeter is minimum a) Only (A) is correct b) Only (B) is correct c) both (A) and (B) are correct d) both (A) and (B) are incorrect 11. At vena contracta, streamlines become a) converging b) diverging c) parallel 1. The coefficient of contraction is equal to a) Cd Cv b) C d / Cv c) C v / Cd where C d is the coefficient of discharge and C v is the coefficient of velocity. 13. Refer to the following statements. Which of these is/are correct? A. Streamline is the line which is tangential to the velocity vector everywhere at a given instant. B. Pathline is the line traced by continuously injected tracer at a point. Page of 19

5 1. At a sudden expansion of pipe line, velocity changes from m/s (before the expansion) to 1 m/s (after the expansion). If gravitational acceleration is expressed in m/s, the loss of head (in m) due to this expansion is a) 1/g b) 1/g c) 3/g d) 3/g 15. Critical depth for a channel is given by a) q g 1 b) c) d) q g 3 q g q g where q is the discharge per unit width through the channel and g is the gravitational acceleration. Page 5 of 19

6 Discharge (m 3 /s) 16. Refer to the following direct runoff hydrograph resulting from a catchment area of 36 km. What is the rainfall excess? Time (hr) a) 1 cm b) cm c).365 cm 17. The equilibrium discharge (in m 3 /s) in the S-curve for a 50 km catchment derived from a -hour unit hydrograph is a) 17. b) 7. c) 37. d) Mass curve of rainfall is produced by a) Symon s type raingauge b) Tipping bucket type raingauge c) Weighing bucket type raingauge 19. Refer to the following statements. Which of these is/are correct? A. Specific retention more in fine grained soil as compared to coarse grained soil. Page 6 of 19

7 B. The discharge per unit drawdown at a well is known as specific yield. 0. The probability of 5-year flood occurring at least once in 10 successive years is a) b) 0.98 c) d) Refer to the following statements. Which of these is/are correct? A. Shrinkage of concrete depends on water-cement ratio. B. Vicat's apparatus is used for determining the consistency of cement.. Refer to the following statements. Which of these is/are correct? A. Hardness of water due to the presence of calcium carbonate is known as temporary hardness. B. Hardness of water due to the presence of magnesium carbonate is known as permanent hardness. Page 7 of 19

8 3. Which of the following chemical is used for dechlorination of water? a) Zeolite b) Potassium permanganate c) Both (a) and (b) d) Neither (a) nor (b). Which of the following is a part of secondary treatment of sewage? a) Grit chamber b) Sedimentation tank c) Trickling filter d) Chlorination tank 5. Septic tank is a combination of a) sedimentation and digestion b) sedimentation and aeration c) aeration and digestion 6. In case of radius of curvature R (in m), 75% of the design speed (V) and neglecting lateral friction, the maximum rate of superelevation is given by a) e V 75R b) V e 17 R c) e V 5 R Page 8 of 19

9 7. Refer to the following statements. Which of these is/are correct? A. The highest point on the road surface is known as crown. B. The strength and durability of a road depend on its sub-grade. 8. A camber of 1 in 30 on a 30 km long straight road of 30 m wide means a) Centre point of the road is 0.5 m above the edge of the road b) Elevation of the end point of the road is 1000 m above the elevation of the starting point c) Elevation of the end point of the road is 1000 m below the elevation of the starting point 9. The equilibrium super-elevation is given by a) V /R b) V /gr c) V /17R where V- speed of the vehicle in kmph, R- Radius of curvature in meter and g- gravitational acceleration in m/s. 30. Refer to the following statements. Which of these is/are correct? A. The design of curves depends on the speed of the vehicle. Page 9 of 19

10 B. At a particular location of a highway, the stopping sight distance is greater than overtaking sight distance. 31. Match the following as a most preferred choice in case of a highway. A) Vertical curve B) Transition curve C) Valley curve i) Clothoid ii) Parabolic iii) Lamniscate a) A i, B ii, C iii b) A iii, B i, C ii c) A ii, B i, C iii d) A iii, B ii, C i 3. In Programme Evaluation Review Technique (PERT), the probabilistic time for completion of an activity is given by a) b) c) t t t o o o t m t p t m t p 6 6t m t p 8 where, t o - Optimistic time, t m - Most probable time, and t p - Pessimistic time. Page 10 of 19

11 33. In the network shown in the following diagram, the critical path is along D D: Dummy activity a) b) c) Refer to the following statements. Which of these is/are correct? A. The California Bearing Ratio (CBR) is calculated at both.5 and 5 mm penetration. B. Cement concrete pavement is a rigid pavement. 35. Denoting Vw volume of water in the voids, Va volume of air in the voids, and Vs volume of solids, degree of saturation of soil is given by a) Va/(Va+Vw) b) Vw/(Va+Vw) c) Vs/(Va+Vv) Page 11 of 19

12 36. If the porosity of the soil is 0%, the void ratio is equal to a) 5% b) 16.67% c) 80% 37. If the porosity of soil is 30% and specific gravity of solid particles in the soil is.65, the dry unit weight of the soil is (assuming unit weight of water is 1 gm/cc) a).038 gm/cc b) gm/cc c) gm/cc d) cannot be determined 38. Refer to the following statements. Which of these is/are correct? A. The coefficient of active earth pressure is always greater than the coefficient of passive earth pressure. B. The shear strength of soil results from both cohesion and friction between soil particles. 39. For given soil, Dn denotes a particle size such that n% of the total mass of soil particles is finer than this size. If the D 10 is 0.01 mm, D 50 is 0.05 mm and D 60 is 0.1 mm and D 90 is 1. mm, the uniformity coefficient is a) 10 b) 1 c). Page 1 of 19

13 0. Refer to the following statements. Which of these is/are correct? A. The coefficient of permeability has the same unit as that of velocity. B. Darcy s law is applicable only for laminar flow. 1. The unit weight of completely saturated soil is G e a) 1 e 1 e b) G e c) 1 e w G 1 w w where G is the specific gravity of soil particle, w is the unit weight of water, and e is the void ratio.. The smallest sieve size according to Indian standard a) mm b) 0.05 mm c) 0.5 mm 3. Refer to the following statements. Which of these is/are correct? A. Flow lines and equipotential lines always intersect each other at 90 angle. B. The direction of seepage is always perpendicular to the equipotential lines. Page 13 of 19

14 . Refer to the following statements. Which of these is/are correct? A. The seepage force is proportional to the exit gradient. B. Critical exit gradient depends on the specific gravity of the soil. 5. Coefficient of consolidation depends on a) permeability b) thickness of the layer to be consolidated c) both permeability and thickness of the layer to be consolidated 6. Shearing strength of soil (according to Coulomb s law) a) c p tan b) c p tan c) p c tan d) p c tan where c is the cohesion, p is the normal stress on the plane of shear, and is the angle of internal friction. Page 1 of 19

15 7. According to Rankine s formula, depth of foundation in meter is a) b) c) d) s 1 sin p 1 sin p s 1 sin 1 sin s 1 sin p 1 sin p s 1 sin 1 sin where p is the safe permissible pressure on base in kn/m, s is the unit weight of soil in kn/m 3, and is the angle of repose of the soil. 8. The indentation or depression at the top face of a brick is known as a) Sill b) Jamb c) Corbel d) Frog 9. Refer to the following statements. Which of these is/are correct? A. If the water-cement ratio is high, the strength of concrete is low. B. Size of the fine aggregate is below.75 mm. 50. Initial setting time of ordinary Portland cement is Page 15 of 19

16 a) 30 minutes b) 60 minutes c) hours d) 3 hours 51. Refer to the following cantilever beam with uniformly varying load. The bending moment at the fixed end is w Fixed End L Free End a) wl wl b) 6 c) wl 1 5. Refer to the following cantilever beam with uniformly varying load and flexural rigidity EI. The deflection at the free end is w Fixed End L Free End a) b) c) wl EI wl 30EI wl 8EI Page 16 of 19

17 53. The shear stress at the centre of a circular shaft under torsion is a) zero b) maximum c) minimum d) infinity 5. Refer to the following two cantilever with flexural rigidity of 6500 kn-m. These beams are carrying uniformly distributed load as shown. The difference between maximum deflection between two beams is approximately equal to 10 kn/m m m 10 kn/m m a) 1.0 mm b).0 mm c) 3.0 mm Page 17 of 19

18 55. Longitudinal shearing stress acting on the surface between reinforcement bars and concrete in reinforced cement concrete is known as a) bond stress b) compressive stress c) tensile stress 56. The purpose of lateral ties in a concrete column is to a) bear tensile force b) bear compressive force c) avoid buckling of the longitudinal bars 57. The ratio between effective length and least lateral dimension of a slender column is more than a) b) 8 c) 1 d) The minimum diameter of reinforcement in a column is a) 8 mm b) 1 mm c) 16 mm d) 0 mm Page 18 of 19

19 59. Refer to the following statements. Which of these is/are correct? A. Strength of the rivet increases in cold driving. B. Hot driven rivets can be both power driven shop rivet and power driven field rivets. 60. In a bracket riveted connection, the number of rivets essential for resisting the external moment (M) is given by a) b) 6M Rp Rp 6M 6M c) Rp d) Rp 6M where R is rivet value and p is the pitch of rivets Page 19 of 19

PES Institute of Technology

PES Institute of Technology Bangalore south campus, Bangalore-5460100 Department of Mechanical Engineering Faculty name : Madhu M Date: 29/06/2012 SEM : 3 rd A SEC Subject : MECHANICS OF MATERIALS Subject