Home /
Expert Answers /
Mechanical Engineering /
question-1-a-two-bar-truss-is-shown-below-in-fig-q1-as-depicted-the-truss-structure-is-loaded-wi-pa672
(Solved): Question 1 A two-bar truss is shown below in Fig. Q1. As depicted, the truss structure is loaded wi ...
Question 1 A two-bar truss is shown below in Fig. Q1. As depicted, the truss structure is loaded with a horizontal force of
P=1000kN. The force
Pis applied at node 1 in the positive
xdirection. Both structural members have a cross-sectional area of
A=100mm^(2)and a Young's Modulus of
E=200GPa. Fig. Q1 Determine the element stiffness matrix for each structural member (1) and (2) (5 marks) Assemble the stiffness matrix for the truss in Fig. Q1. Determine the force-deformation relationship, stating the relevant boundary conditions. (10 marks) (15 marks) (20 marks) Determine the displacement of node 1 in the
xdirection. Determine the axial force in each element of the truss. Note: The formulae for elemental stiffness matrix and the [T] matrix are:
[K_(i)]=((AE)/(l))[[c^(2),cs,-c^(2),-cs,s^(2),-cs,-s^(2),-cs,c^(2),cs
-cs,-s^(2),cs,s^(2)]]
-cs
-c^(2)
-cs
-c^(2)
cs, where c=cos(\theta ) and s=sin(\theta )
[T_(i)]=[[c,s,0,0,0,c,s]]
0 where c=cos(\theta ) and s=sin(\theta )