Question

Calculate the buckling stress in MPa of rod BC (E-200 GPa) about the yay axis. If a 19 mm and b-32 mm. Komeadfed currection P

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Answer #1

Buckling stress in the beam = 2 Elmin L: σή Area

where

  • E = Young's Modulus of material = 200 GPa = 200e3 MPa
  • I(min) = Minimum Area Moment of Inertia = ಹಿತಿ 12 32 X 19² 12 18290.66 mm
    • b = 32 mm
    • a = 19 mm
  • L(e) = Equivalent length = k x L = 0.5 x 5000 = 2500 mm
    • k = 0.5 (for fixed-fixed end)
    • L = 5 m = 5000 mm (using Pythagoras Theorem)
  • Area = area of cross-section = 19 x 32 = 608 mm2

2 Elmin L: σή Area

Oь П° 200e3x18290.66 25002 608 ob = 9.501 MPa (Ans.)​​​​​​​

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