Dynamic equilibrium of vibrated beam-column member

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omarxx84
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hi colleages...is the equation below represent a dynamic equilibrium of vibrated beam-column member and simple boundary conditions?

M(x,t)=Q(0,t)*x+integral{q(x,t)-mass*acceleration(x,t)}*(L-x)dx

where

M(x,t)= dynamic moment.
Q(0,t)=shear at x=0.
q(x,t)= external dynamic loading.
mass*accel.(x,t)= inertia force.
 
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hi colleages...is the equation below represent a dynamic equilibrium of vibrated beam-column member and simple boundary conditions?

M(x,t)=Q(0,t)*x+integral{q(x,t)-mass*acceleration(x,t)}*(L-x)dx

where

M(x,t)= dynamic moment.
Q(0,t)=shear at x=0.
q(x,t)= external dynamic loading.
mass*accel.(x,t)= inertia force.