GATE XE (Engineering Sciences) 2025 - Question 59

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

The figure shows the stress distribution across an internal surface of a rectangular beam of height 30 mm and depth 10 mm. The normal stress distribution is given by the expression 𝜎𝑥𝑥= 200𝑦+ 500 N/mm2; y is the distance in mm from the centroidal axis of the beam. Assume that there is no variation in the stress distribution along the z-direction. Which of the following statements is/are CORRECT?

Figure for question 59, GATE XE (Engineering Sciences) 2025

  • A. The net force in the x direction is 150 kN.
  • B. The net force in the x direction is 75 kN.
  • C. The net moment about the z axis is 4500 Nm.
  • D. The net moment about the z axis is 2250 Nm.

Answer: A. The net force in the x direction is 150 kN.; C. The net moment about the z axis is 4500 Nm.

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