GATE CE topic:infrastructure PYQs & Answers — Page 63

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Questions 621–630 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 63 of 130

Consider the linearly elastic plane frame shown in the figure. Members

and

are welded together at joint

. Joints

and

are fixed supports. A counter-clockwise moment

is applied at joint

. Consider flexural rigidity

for each member and neglect axial deformations.

Diagram for Civil Engineering question 51

If the magnitude (absolute value) of the support moment at

is 10 kN-m, the magnitude (absolute value) of the applied moment

(in kN-m) to maintain static equilibrium is __________. (round off to the nearest integer)

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The linearly elastic plane structure shown in the figure is acted upon by two vertical concentrated forces. The horizontal beams

and

are connected with the help of the vertical linear spring with spring constant

. The fixed supports are provided at

and

. It is given that flexural rigidity

, and

. Force

is applied at the center of beam

such that the force in the spring

becomes zero.

The magnitude of force

(in kN) is ________. (round off to the nearest integer)

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Consider a simply supported beam PQ as shown in the figure. A truck having 100 kN on the front axle and 200 kN on the rear axle, moves from left to right. The spacing between the axles is 3 m. The maximum bending moment at point R is ________ kN m. (in integer)

Diagram for Civil Engineering question 52

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A uniform rod

of weight

shown in the figure rests against a frictionless vertical wall at the point

and a rough horizontal surface at point

. It is given that

and

The minimum coefficient of static friction that is required at the point

to hold the rod in equilibrium is __________. (round off to three decimal places)

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A reinforced concrete beam with rectangular cross section (width = 300 mm, effective depth = 580 mm) is made of M30 grade concrete. It has 1% longitudinal tension reinforcement of Fe 415 grade steel. The design shear strength for this beam is 0.66 N/mm

. The beam has to resist a factored shear force of 440 kN. The spacing of two-legged, 10 mm diameter vertical stirrups of Fe 415 grade steel is ________ mm. (round off to the nearest integer)

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The activities of a project are given in the following table along with their durations and dependency.

Activities	Duration (days)	Depends on
A	10	-
B	12	-
C	5	A
D	14	B
E	10	B, C

The total float of the activity E (in days) is ________. (in integer)

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A square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed samples extracted from the clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven pile is 632 kN, the required width of the pile is ______ mm. (in integer)

(Bearing capacity factor

; adhesion factor

)

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A group of total 16 piles are arranged in a square grid format. The center-to-center spacing (

) between adjacent piles is 3 m. The diameter (

) and length of embedment of each pile are 1 m and 20 m, respectively. The design capacity of each pile is 1000 kN in the vertical downward direction. The pile group efficiency (

) is given by

where

and

are number of rows and columns in the plan grid of pile arrangement, and

. The design value of the pile group capacity (in kN) in the vertical downward direction is __________________. (round off to the nearest integer)

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A raft foundation of 30 m × 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of the raft foundation. Below the clay layer, a dense sand layer exists at the site. A 25 mm thick undisturbed sample was collected from the mid-depth of the clay layer and tested in a laboratory oedometer under double drainage condition. It was found that the soil sample had undergone 50 % consolidation settlement in 10 minutes.

The time (in days) required for 25 % consolidation settlement of the raft foundation will be ________________. (round off to the nearest integer)

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A saturated compressible clay layer of thickness

is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pressure at point P, which is located at the mid-depth of the clay layer, were 150 kPa and 25 kPa, respectively. Construction of a building caused an additional total vertical stress of 100 kPa at P. When the vertical effective stress at P is 175 kPa, the percentage of consolidation in the clay layer at P is __________. (in integer)

Diagram for Civil Engineering question 55

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GATE CE topic:infrastructure PYQs

Question 51

Question 51

Question 52

Question 52

Question 53

Question 53

Question 54

Question 54

Question 55

Question 55