Calculation of Stiffness in Structural elements
Q.1.Answer)
To obtain the 1st column of the 3 x 3 matrix, we impose unit displacement in DOF u1, with u2 = u3 = 0.
The elements in the 2nd column of the matrix are determined by imposing u2 = 1, with u1 = u3 = 0.
The elements in the 3rd column of the matrix are determined by imposing u3 = 0, with u1 = u2 = 0.
24 x EIc/h^3 6h x EIc/h^3 6h x EIc/h^3
6h x EIc/h^3 6h^2 x EIc/h^3 h^2 x EIc/h^3
6h x EIc/h^3 h^2 x EIc/h^3 6h^2 x EIc/h^3
By complete solving
Final answer : k = 96/7 x EIc/h^3
Q.2.Answer)
a)
No of degrees of freedom = 4
b)
No of degree of freedom = 2
Q.3.Answer)
Q.4.Answer)