NPTEL IIT Guwahati

Boundary conditions are given as:

and

Correspondingly we will be having: 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16 (total 12 equations) with right hand side terms as known( i.e. zero ).
Rest of four equations (i.e., 1, 3, 13, 15) can be removed (i.e. corresponding rows & columns can be eliminated) since it contain shear forces as additional unknown in the right hand side .
From the displacement information we will have the 1 ^st , 3^rd, 13^thand 15 ^thcolumns multiplied by zero (i.e. due to corresponding displacement from B.Cs.) so these columns will not contribute any term in totality.
Shear forces which are nothing but forces being transmitted through the bearing can be obtained once displacements are known.


Transverse Vibrations of continuous Beams		Print this page


Boundary conditions are given as: and Correspondingly we will be having: 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16 (total 12 equations) with right hand side terms as known( i.e. zero ). Rest of four equations (i.e., 1, 3, 13, 15) can be removed (i.e. corresponding rows & columns can be eliminated) since it contain shear forces as additional unknown in the right hand side . From the displacement information we will have the 1 ^st , 3^rd, 13^thand 15 ^thcolumns multiplied by zero (i.e. due to corresponding displacement from B.Cs.) so these columns will not contribute any term in totality. Shear forces which are nothing but forces being transmitted through the bearing can be obtained once displacements are known.

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