Q1: The dimensions for the flexural rigidity of a beam element in mass (M), length (L) and time (T) is given by

ANS:D - M^-1T²

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

So, the Dimension is ML3T-2