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GATE Exam Questions - Engineering

Q1:

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

A MT-2

B ML3T-2

C ML-1T-2

D M-1T2

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