(Solved): Identify the minimum number of degrees of freedom (DOF) of the 2D plane frame shown in Figure Q-1 ...

Identify the minimum number of degrees of freedom (DOF) of the 2D plane frame shown in Figure Q-1 if the axial deformation of members is neglected. Based on those DOF, evaluate the following quantities: (a) Nodal load vector of the structure. (7.5 Marks) (b) Stiffness matrix of the structure. (17.5 Marks) 30 kN 2m ? 4m 5 kN/m El E = 50 GPa I = 2.0×106 mmª I = 2.51 k= 4.5×105 kN/m Figure Q-1 Elb 50 kN 2m 4m El c ?? ooo 6m k