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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. For the cantilever beam of span 3 m (shown below), a concentrated load of 20 kN applied at the free end causes a vertical displacement of 2 mm at a section located at a distance of 1m from the fixed end. If a concentrated vertically downward load of 10 kN is applied at the section located at a distance of 1 m from the fixed end (with no other load on the beam), the maximum vertical displacement in the same beam (in mm) is __________.
    1. 3
    2. 4
    3. 2
    4. 1
Correct Option: D


From beam q is law,
P1 × ∆12 = P2 × ∆21
10 × 2 = 20 × ∆21
∴ ∆21 = 1 mm



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