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Strength of Materials
Stress & Strain
GATE 2021
Hard

A prismatic bar PQRST is subjected to axial loads: 10 kN (leftward) at Q, 15 kN (rightward) at R, 20 kN (leftward) at S, and 25 kN (rightward) at T (free end); P is fixed to a wall. The segments having maximum and minimum axial stresses, respectively, are

  • AQR and PQ
  • BST and PQ
  • CQR and RS
  • ST and RS

Explanation

Using the method of sections (summing all loads to the right of each cut, tension positive): segment ST carries +25 kN (only the load at T); RS carries -20+25=+5 kN; QR carries +15-20+25=+20 kN; PQ carries -10+15-20+25=+10 kN. Since the bar is prismatic (uniform area), stress is proportional to axial force. Maximum |force|=25 kN in ST, minimum=5 kN in RS.

Source: GATE ME 2021 Session 1 (ME-1) (2021)

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