GATE CE year:2023 PYQs & Answers — Page 8

Questions 71–80 of 130. Imported answers require independent review unless marked reviewed.

A function

, that is smooth and convex-shaped between interval

is shown in the figure. This function is observed at odd number of regularly spaced points. If the area under the function is computed numerically, then ________.

Diagram for Civil Engineering question 36

Your answerChoose one option.

the numerical value of the area obtained using the trapezoidal rule will be less than the actual

the numerical value of the area obtained using the trapezoidal rule will be more than the actual

the numerical value of the area obtained using the trapezoidal rule will be exactly equal to the actual

with the given details, the numerical value of area cannot be obtained using trapezoidal rule

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The solution of the differential equation

is expressed as

, where

, and

are constants, with

and

being distinct and not equal to 2.5. Which of the following options is correct for the values of

and

Your answerChoose one option.

1 and 2

−1 and −2

2 and 3

−2 and −3

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Consider a doubly reinforced RCC beam with the option of using either Fe250 plain bars or Fe500 deformed bars in the compression zone. The modulus of elasticity of steel is

N/mm

. As per IS456:2000, in which type(s) of the bars, the stress in the compression steel (

) can reach the design strength (

) at the limit state of collapse?

Your answerChoose one option.

Fe250 plain bars only

Fe500 deformed bars only

Both Fe250 plain bars and Fe500 deformed bars

Neither Fe250 plain bars nor Fe500 deformed bars

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Two vectors

and

belong to the null space of a 4 × 4 matrix of rank 2. Which one of the following vectors also belongs to the null space?

Your answerChoose one option.

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Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place) for the cross-section?

Diagram for Civil Engineering question 38

Your answerChoose one option.

1.5

1.7

1.3

2.0

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Cholesky decomposition is carried out on the following square matrix

Let

and

be the (i,j)

elements of matrices

and

, respectively. If the element

of the decomposed lower triangular matrix

is 1.968, what is the value (rounded off to the nearest integer) of the element

Your answerChoose one option.

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Consider the pin-jointed truss shown in the figure (not to scale). All members have the same axial rigidity, AE. Members QR, RS, and ST have the same length

. Angles QBT, RCT, SDT are all 90°. The joint T carries a vertical load P. The vertical deflection of joint T is

. What is the value of

Diagram for Civil Engineering question 39

Your answerChoose one option.

1.5

4.5

3.0

9.0

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In a two-dimensional stress analysis, the state of stress at a point is shown in the figure. The values of length of PQ, QR, and RP are 4, 3, and 5 units, respectively. The principal stresses are ________. (round off to one decimal place)

Your answerChoose one option.

MPa,

MPa

MPa,

MPa

MPa,

MPa

MPa,

MPa

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With reference to the compaction test conducted on soils, which of the following is INCORRECT?

Your answerChoose one option.

Peak point of the compaction curve gives the maximum dry unit weight and optimum moisture content

With increase in the compaction effort, the maximum dry unit weight increases

With increase in the compaction effort, the optimum moisture content decreases

Compaction curve crosses the zero-air-voids curve

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Two plates are connected by fillet welds of size 10 mm and subjected to tension, as shown in the figure. The thickness of each plate is 12 mm. The yield stress and the ultimate stress of steel under tension are 250 MPa and 410 MPa, respectively. The welding is done in the workshop (partial safety factor,

). As per the Limit State Method of IS 800: 2007, what is the minimum length (in mm, rounded off to the nearest higher multiple of 5 mm) required of each weld to transmit a factored force P equal to 275 kN?

Diagram for Civil Engineering question 40

Your answerChoose one option.

100

105

110

115

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GATE CE year:2023 PYQs

Question 36

Question 36

Question 37

Question 37

Question 38

Question 38

Question 39

Question 39

Question 40

Question 40