GATE CE kind:question PYQs & Answers — Page 24

Questions 231–240 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 24 of 130

Consider the rigid bar ABC supported by the pin-jointed links BD and CE and subjected to a load P at the end A, as shown in the figure. The axial rigidities of BD and CE are 22500 kN and 15000 kN, respectively. If CE elongates by 5 mm due to the load P, the magnitude of the downward deflection (in mm) of the end A would be _____________ (rounded off to the nearest integer).

Diagram for Civil Engineering question 51

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Consider a discrete random variable

whose probabilities are given below. The standard deviation of the random variable is _____ (round off to one decimal place).

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Consider a reinforced concrete beam section of 300 mm width and 700 mm depth. The beam is reinforced with the tension steel of 2000 mm² area at an effective cover of 50 mm. Concrete in the tension zone is assumed to be cracked. Assume the modular ratio of 12 and Young’s modulus of 200 GPa for steel. When the extreme fibre in the compression zone undergoes the strain of 0.0004 due to the applied bending moment, the stress in the steel (in MPa) is __________ (rounded off to the nearest integer).

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A steel beam supported by three parallel pin-jointed steel rods is shown in the figure. The moment of inertia of the beam is

. Take modulus of elasticity of steel as 210 GPa. The beam is subjected to uniform distributed load of 6.25 kN/m, including its self-weight. The axial force (in kN) in the centre rod CD is _____ (round off to one decimal place).

Diagram for Civil Engineering question 52

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Consider the beam section shown in the figure, with

indicating the depth of neutral axis (NA). The section is only subjected to an increasing bending moment. It is given that

mm, when the section has not yielded at the top and bottom fibres. Further,

decreases to 5 mm, when the entire section has yielded. The shape factor of the section is ____________ (rounded off to 2 decimal places).

Diagram for Civil Engineering question 53

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The figure shows a network diagram for a construction project. The activities A, B, C, D, E, and F are represented by arrows and their durations are in the figure.

The total float available for the activity E in day(s) is equal to _____ (round off to the nearest integer).

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Consider the built-up column made of two I-sections as shown in the figure, with each batten plate bolted to a component I-section of the column through 6 black bolts. Each connection of the batten plate with the component section is to be designed for a longitudinal shear of 70 kN and moment of 10 kN.m. The minimum bolt value required (in kN) is ____________ (rounded off to the nearest integer).

Diagram for Civil Engineering question 54

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A reinforced concrete beam has a support section with width of 300 mm and effective depth of 500 mm. The support section is reinforced with 3 bars of 20 mm diameter at the tension side. Two-legged vertical stirrups of 10 mm diameter and Fe415 steel at a spacing of 100 mm are provided as shear reinforcement. Assume that there is no possibility of diagonal compression failure at the section.

As per IS 456:2000, the maximum shear resisted by the vertical stirrups (in kN), as per limit state design, is __________ (round off to one decimal place).

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A cut slope is made in a silty clay soil for a new road project, as shown in the figure. The locations of ground water table (GWT) and potential failure surface are shown in the figure. After the cut is made, the excess pore water pressure is fully dissipated, and the shear stress at the point A is 60 kN/m². The factor of safety at the point A for long-term stability is __________________ (rounded off to 2 decimal places).

Note:

Shear strength properties of silty clay: c′ = 15 kN/m², ϕ′ = 15°, and cᵤ = 75 kN/m²

Unit weight of soil above the GWT (γ) = 19 kN/m³

Unit weight of soil below the GWT (γₛₐₜ) = 20 kN/m³

Unit weight of water (γw) = 9.81 kN/m³

Diagram for Civil Engineering question 55

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The bank of a canal has the profile shown in the figure. The material is a homogeneous clay with a bulk unit weight of 20 kN/m³, undrained cohesion of 30 kPa and it is fully saturated (φᵤ = 0). For the trial slip circle shown, the area ABCDE is 150 m² and the centroid is at P. A tension crack (DE) of 2.5 m deep was also observed. Assume unit weight of water is 9.81 kN/m³ and consider 1 m run of the bank for the analysis.

Considering the canal is empty and tension crack is completely filled with water, the factor of safety against slope failure of the bank is _____ (round off to two decimal places).

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GATE CE kind:question PYQs

Question 51

Question 51

Question 52

Question 52

Question 53

Question 53

Question 54

Question 54

Question 55

Question 55