GATE CE topic:structural-engineering PYQs & Answers — Page 3

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Questions 21–30 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 3 of 130

Matrix

is given as

The TRUE option is

Your answerChoose one option.

Trace of

is equal to the sum of the Eigen values of

is an identity matrix.

is a skew-symmetric matrix.

Absolute magnitude of each Eigen value is 1.

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Matrix A has the eigenvalues 1, 2, and 3. The Trace of

Your answerChoose one option.

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Given:

The above system of equations represents a

Your answerChoose one option.

plane

line

volume

point

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A fifth-degree polynomial in

is defined for

. All coefficients of the polynomial are positive. The first derivative of the polynomial is obtained numerically at a point by using the first-order forward as well as the first-order backward difference methods. Identical step lengths are used for both the methods.

Following statements are made.

(I) Forward difference method underestimates the true derivative. (II) Backward difference method overestimates the true derivative.

Which one of the following options is CORRECT?

Your answerChoose one option.

Both statements (I) and (II) are FALSE.

Both statements (I) and (II) are TRUE.

Statement (I) is TRUE and statement (II) is FALSE.

Statement (I) is FALSE and statement (II) is TRUE.

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A thin-walled spherical gas balloon of radius R and wall thickness t (t<< R) is subjected to an internal (gauge) pressure

. The maximum tensile and shear stresses in the balloon wall are, respectively:

Your answerChoose one option.

Zero and

and Zero

and

and Zero

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Periodic function

is given below.

The CORRECT option representing the Fourier series expansion of

is:

Your answerChoose one option.

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Black dot shown in the figure qualitatively represents the shear centre of the angle section. The option which represents the position of the shear centre is:

Your answerChoose one option.

Diagram for Civil Engineering question 14

Diagram for Civil Engineering question 14 (figure 2)

Diagram for Civil Engineering question 14 (figure 3)

Diagram for Civil Engineering question 14 (figure 4)

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A rectangular singly reinforced concrete beam has a width of 300 mm and an effective depth of 550 mm. The grades of steel and concrete are Fe500 and M25, respectively. The area of steel in tension is 1963 mm

. The depth of neutral axis is 302 mm. The ratio of the limiting depth of the neutral axis (

) to the effective depth (d) of the beam is 0.456.

The most probable mode of failure of the beam is

Your answerChoose one option.

compression failure

bond failure

shear failure

ductile failure

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Which one of the following is utilized to determine the long-term deformation of concrete under sustained loading?

Your answerChoose one option.

Creep

Shrinkage

Modulus of rupture

Split tensile strength

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As per IS:800-2007, design of a cantilever steel beam section for its moment capacity requires fulfilment of an upper bound, expressed as:

The reason for such upper bound is to

Your answerChoose one option.

control deflection

restrain lateral-torsional buckling

avoid plastic deformation under working load

avoid yielding at ultimate load

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GATE CE topic:structural-engineering PYQs

Question 11

Question 11

Question 12

Question 12

Question 13

Question 13

Question 14

Question 14

Question 15

Question 15