GATE XE (Engineering Sciences) 2025 - Question 58

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Section: Solid Mechanics | Type: MSQ | Marks: 2

An infinitesimal square element PQRS is shown in the figure. The x and y axes are also marked in the figure. The strains on the element are given by 𝜀𝑥𝑥= 500 × 10−6, 𝜀𝑦𝑦= 100 × 10−6 and 𝜀𝑥𝑦= 0. Which of the following statements is/are CORRECT?

Figure for question 58, GATE XE (Engineering Sciences) 2025

  • A. Percentage change in length of the diagonal PR is 0.03.
  • B. Change in angle between PR and QS is 4 × 10−4 rad.
  • C. Change in angle between PR and QS is 2 × 10−4 rad.
  • D. Percentage change in length of the diagonal QS is 0.03.

Answer: A. Percentage change in length of the diagonal PR is 0.03.; B. Change in angle between PR and QS is 4 × 10−4 rad.; D. Percentage change in length of the diagonal QS is 0.03.

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