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Strength Of Materials Miscellaneous

Strength Of Materials

  1. A horizontal bar, fixed at one end (x = 0), has a length of 1 m, and cross-sectional area of 100 mm2. Its elastic modulus varies along its length as given by E(x) = 100e–x GPa, where x is the length coordinate (in m) along the axis of the bar. An axial tensile load of 10 kN is applied at the free end (x = 1). The axial displacement of the free end is _____ mm.
    1. 1.788
    2. 0.718
    3. 1.718
    4. 2.718
Correct Option: C


Change in length of small strip

δ =
Px - x(dx)
Ax - xEx - x

Total change in length of bar

δ = 1.718 mm



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