Aerospace Engineering > GATE 2011 > Beam Boundary Conditions
The partial differential equation (PDE) governing free vibrations of a uniform Euler–Bernoulli beam is given by: EI4w/∂x4 + m2w/∂t2 = 0, where EI is the flexural stiffness, m is the mass per unit length, w(x, t) is the bending displacement, x is the coordinate along the beam length, t is time, and L is the beam length.
For the cantilever beam shown in the figure, which of the following CANNOT be a possible
boundary condition?
A
w(0,t)=0
B
2w∂x2(L,t)=0
C
2w∂x2(0,t)=0
D
3w∂x3(L,t)=0

Correct : c

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Related Topics

Euler Bernoulli beam equation cantilever beam boundary conditions GATE Aerospace Engineering 2011 GATE AE 2011 Q49 free vibrations of beam beam vibration boundary conditions flexural stiffness bending displacement

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