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Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. The dimensions for the flexural rigidity of a beam element in mass (M), length (L) and time (T) is given by
    1. MT2
    2. ML2 T–2
    3. ML–1 T–2
    4. ML–1 T2
Correct Option: B

In a beam, the flexural rigidity (EI) varies along the length as a function of x as shown in equation:

Where E is the young's modulus (in Pasual, Pa), I is the second moment of area (in m4). Y is the traverse displacement of the beam x and M(x) is the bending moment at x. The SI unit of flexural rigidity is thus Pa. m4 or Nm4
∴ Dimension is ML3T–2



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