For the beam shown below perform the tasks indicated as part of a Matrix analysis. EI $=$ constant.

Show how you could check$-$your answers.

A$.$ Divide the beam in to finite elements

and arbitrarily Identify each element

and its nodes.

Use a number written in a circle

for a node.

Use a number written in a square

for a Member.

B$.$ Specify the near and far ends of

each element symbolically with by

directing an arrow along the element,

with the head directed toward the

far end.

c$.$ At each nodal point specify numerically the y and z code numbers.

Lowest #s for unconstrained DoF.

Highest #s for constrained DoF.

D$.$ Establish the known displacements $[$DK$]$

and known external loads $[$Qk$].$

E$.$ Determine the member stiffness Matrix for each Member.

F$.$ Determine the structure stiffness Matrix.