GATE XE 2020 Paper 1 — page 26

Questions 76–78 of 175. Imported answers require review unless explicitly marked reviewed.

Determine the correctness or otherwise of the following Assertion [a] and Reason [r].

Assertion [a]: Efficient columns are designed so that most of the column’s cross-sectional area is located as far away as possible from the principal centroidal axes of the section.

Reason [r]: Load carrying capacity of columns will increase as the moment of inertia of the cross-section increases.

Your answerChoose one option.

Both [a] and [r] are true and [r] is the correct reason for [a].

Both [a] and [r] are true but [r] is not the correct reason for [a].

Both [a] and [r] are false.

[a] is true but [r] is false.

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Consider the structure consisting of two massless elastic bars AB and BC, each of length

, cross-sectional area

, and Young’s modulus

. Connections at A, B, C are all pinned. A horizontal force

acts on the joint B as shown. Calculate the horizontal deflection of the joint B.

Diagram for Engineering Sciences question 12

Your answerChoose one option.

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A rigid bar ABC of mass

and length

is hinged at A and has a point mass

attached at C. An elastic spring with linear stiffness

is attached at B as shown. Ignore the effect of gravity and damping. The natural frequency of small oscillations of this system is _____.

Diagram for Engineering Sciences question 13

Your answerChoose one option.

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2020 · Paper 1

Question 11

Question 12

Question 13