GATE CE format:nat PYQs & Answers — Page 26

Questions 251–260 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 26 of 50

Vehicular arrival at an isolated intersection follows the Poisson distribution. The mean vehicular arrival rate is 2 vehicle per minute. The probability (round off to two decimal places) that at least 2 vehicles will arrive in any given 1-minute interval is ________

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An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of 1.5 m. It is supported on a solid steel circular column of diameter 75 mm and total height (L) of 4 m. Take, water density = 1000 kg/m³ and acceleration due to gravity = 10 m/s². If elastic modulus (E) of steel is 200 GPa, ignoring self-weight of the tank, for the supporting steel column to remain unbuckled, the maximum depth (h) of the water permissible (in m, round off to one decimal place) is

Diagram for Civil Engineering question 37

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Refer the truss as shown in the figure (not to scale). If load,

kN, moment of inertia,

, area of cross-section,

, and length,

m for all the members of the truss, the compressive stress (in kN/m

, in integer) carried by the member Q-R is

Diagram for Civil Engineering question 38

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A prismatic fixed-fixed beam, modelled with a total lumped-mass of 10 kg as a single degree of freedom (SDOF) system is shown in the figure. If the flexural stiffness of the beam is

kN/m, its natural frequency of vibration (in Hz, in integer) in the flexural mode will be

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A prismatic cantilever prestressed concrete beam of span length,

m has one straight tendon placed in the cross-section as shown in the following figure (not to scale). The total prestressing force of 50 kN in the tendon is applied at

mm from the top in the cross-section of width,

mm and depth,

mm. If the concentrated load,

kN, the resultant stress (in MPa, in integer) experienced at point ‘Q’ will be

Diagram for Civil Engineering question 39

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A perfectly flexible and inextensible cable is shown in the figure (not to scale). The external loads at F and G are acting vertically. The magnitude of tension in the cable segment FG (in kN, round off to two decimal places) is

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A column is subjected to a total load (

) of 60 kN supported through a bracket connection, as shown in the figure (not to scale). The resultant force in bolt R (in kN, round off to one decimal place) is

Diagram for Civil Engineering question 40

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A fire hose nozzle directs a steady stream of water of velocity 50 m/s at an angle of 45° above the horizontal. The stream rises initially but then eventually falls to the ground. Assume water as incompressible and inviscid. Consider the density of air and the air friction as negligible, and assume the acceleration due to gravity as 9.81 m/s². The maximum height (in m, round off to two decimal places) reached by the stream above the hose nozzle will then be

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Employ stiffness matrix approach for the simply supported beam as shown in the figure to calculate unknown displacements/rotations. Take length,

m; modulus of elasticity,

N/mm²; moment of inertia,

mm⁴.

Diagram for Civil Engineering question 41

The mid-span deflection of the beam (in mm, round off to integer) under

kN in downward direction will be

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A rectangular cross-section of a reinforced concrete beam is shown in the figure. The diameter of each reinforcing bar is 16 mm. The values of modulus of elasticity of concrete and steel are 2.0×10⁴ MPa and 2.1×10⁵ MPa, respectively. The distance of the centroidal axis from the centerline of the reinforcement (x) for the uncracked section (in mm, round off to one decimal place) is

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GATE CE format:nat PYQs

Question 37

Question 37

Question 38

Question 38

Question 39

Question 39

Question 40

Question 40

Question 41

Question 41