NO MATLAB ALLOWED

The Figure shows a structure with relative dimensions as given, loading and materials indicated. The

horizontal member abc is fixed at point a$,$ pin$-$jointed to the inclined member eb at point b and pin$-$

jointed to the vertical member cd at c$.$ Find the following requirements:

a$.$ The appropriate type of element, DO$($F$)/($n$)$ode

and number of elements to model member eb$.$

b$.$ The reduced stiffness equation$($s$)$ for

member eb$.$

c$.$ The appropriate type of elem., DO$($F$)/($n$)$ode

and number of elements to model member

abc.

d$.$ The un$-$reduced global lumped load vector.

$($NB: identify reaction at nodes as R$\_($nx$)$ where

R is the type of reaction, i$.$e$.,$ R or M;n is the

node number; and x is the coordinate

direction$)$

e$.$ The reduced stiffness equation$($s$)$ for

member abc.

f$.$ The reduced global stiffness matrix for the node at point$-$b$.$

g$.$ The consistent and lumped load vectors for beam abc.

h$.$ Solve for the displacements in the structure.