Q2. Figure Q1 shows a plane truss supported by roller at node 3 and pin and node 1 and 4. A horizontal load of 30 kN is applied at node 3 . The truss is to be analyze using matrix stiffness method.
a) Calculate the stiffness for all the truss members. (10 marks)
b) Assemble the stiffness
K_(11.)
( 10 marks )
c) Calculate the displacement at the free DOFs. ( 10 marks)
d) Assemble the stiffness
K_(22)
. ( 10 marks)
e) Calculate all the support reactions. (5 marks)
f) Calculate the internal force in member 4. (5 marks)
FIGURE 02