00:01
So here in this question we are considering that we are using a cantilever beam which is spotted by the string so let's say here we are considering this is a cantilever beam which from is stored by the string this is a point 1.
00:14
This is a point 2 this is a point 3 from here the force field is acting in this direction from here x is in this direction so this is e ,i what we are considering from here so from here we are considering, that is we're considering about stiffness of the element so k from here equals e ,i, which is divided by l raise to the power 3 so this from here is equals to 12, 6 of l, minus of 12, 6 of l 6 of l, 4 of l raise to the power 2, minus 6 of l 2 of l raise to the power 2 this from here equals to minus 12, minus 6 of l, 12, minus 6 of l and this from here equals to 6 of l and 2 of l raise to the power 2 so this is the stiffness of the matrix is given if we are considering about dof that is degree of freedom is represented by v that is v1 theta1 v2 theta2 and if we are considering about the force factor which is represented by f that form here is equal to f1 bar m1 dash f2 dash and m2 dash is here.
01:16
So from here we are considering about the total quantitative stiffness of the matrix that is k of 2 which is equals to f from here.
01:24
So matrix from here will be equals to e of i divided by l raised to the power 3 12 6 of l minus of 12 6 of l 6 of l 4 of l raised to the power 2 minus 6 of l 2 of l raised to the power 2 minus of 12 minus of 6 of l 12 of 12 minus 6 of l this form here is 61 2 of l raised to the power 2 minus 6 of l 4 of l raised to the power 2 which is multiplied by v1 theta1 v2 theta2 that is further multiplied by the f1 dash m1 dash f2 dash m2 dash.
01:58
So let's say this is the equation number 1...