GATE

Q. Four bolts P, Q, R and S of equal diameter are used for a bracket subjected to a load of 130 kN as shown in the figure. The force in bolt P is (A) 32.50 kN              (B) 69.32 kN              (C) 82.50 kN              (D) 119.32 kN Ans: 69.32 kN

Q. Two rigid bodies of mass 5 kg and 4 kg are at rest on a frictionless surface until acted upon by a force of 36 N as shown in the figure. The contact force generated between the two bodies is (A) 4.0 N                    (B) 7.2 N                    (C) 9.0 N                    (D) 16.0 N Ans: 16.0

Q. A culvert is designed for a flood frequency of 100 years and a useful life of 20 years. The risk involved in the design of the culvert (in percentage, up to two decimal places) is Ans: 18.209%

Q. The intensity of irrigation for the Kharif season is 50% for an irrigation project with culturable command area of 50,000 hectares. The duty for the Kharif season is 1000 hectare/cumec. Assuming transmission loss of 10%, the required discharge (in cumec, up to two decimal places) at the head of the canal is                                                   Ans:

Q. A fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800 : 2007, the equivalent stress (in MPa, up to two decimal places) is Ans: 147.50 – 148.50 Sol:                        

Q. A reinforced-concrete slab with effective depth of 80 mm is simply supported at two opposite ends on 230 mm thick masonry walls. The centre-to-centre distance between the walls is 3.3 m. As per IS 456 : 2000, the effective span of the slab (in m, up to two decimal places) is              Ans: 3.15

Q. As per IS 456 : 2000, the minimum percentage of tension reinforcement (up to two decimal places) required in reinforced-concrete beams of rectangular cross-section (considering effective depth in the calculation of area) using Fe500 grade steel is                                           Ans: 0.17

Q. The quadratic equation 2×2 – 3x + 3 = 0 is to be solved numerically starting with an initial guess as x0 = 2 . The new estimate of x after the first iteration using Newton-Raphson method is              Ans: 1

Q. Probability (up to one decimal place) of consecutively picking 3 red balls without replacement from a box containing 5 red balls and 1 white ball is                                   Ans: 0.5 Sol: Probability of consecutively picking 3 red balls without replacement (P)

Q. The initial concavity in the load-penetration curve of a CBR test is NOT due to A. uneven top surface B. high impact at start of loading C. inclined penetration plunger D. soft top layer of soaked soil Ans: high impact at start of loading