GATE CE format:nat PYQs & Answers — Page 21

Questions 201–210 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 21 of 50

The plane truss shown in the figure is subjected to an external force

. It is given that

, and

Diagram for Civil Engineering question 50

The magnitude (absolute value) of force (in kN) in member

is ________. (round off to the nearest integer)

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Consider two linearly elastic rods

and

, each of length

, as shown in the figure. The rods are co-linear, and confined between two fixed supports at

and

. Both the rods are initially stress free. The coefficient of linear thermal expansion is

for both the rods. The temperature of the rod

is raised by

, whereas the temperature of rod

remains unchanged. An external horizontal force

is now applied at the node

. It is given that

. The axial rigidities of the rods

and

are

and

, respectively.

To make the axial force in rod

equal to zero, the value of the external force

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

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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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GATE CE format:nat PYQs

Question 50

Question 50

Question 51

Question 51

Question 52

Question 52

Question 53

Question 53

Question 54

Question 54