Question

In the diagram above,all bars are straight vertical or horizontal,
except for the following bars (whose angles are indicated)
Bars 3 and 5 are 30 degrees from horizontal
Bars 2, 4 and 9 are 45 degrees from horizontal
Bars 10 and 12 are 60 degrees from horizontal
(A) Remove the following bars and redraw the system on
your own paper:
1 6 8 9
This is your truss system. There are many like it, but this oneis
yours.
(B) Compute the matrix A for your truss system from (A).
Write your result on your own paper in the form e = A u. Also
enter the matrix into matlab.
HINT: To enter A into Matlab, begin by creating a correctly
sized matrix of all zeros, then modify the entries that shouldnot
be zero. (In Matlab sin and cos are in radians.)
(C) Show that your truss system is unstable.
(The matlab command rank(A) tells the number of pivots that
A has.)
(D) Find the mechanisms, and draw one of them.
(The matlab command null(A,’r’) computes the null space
of A – each column of the result is a null space element.)
(E) Find the least number of bars to make the truss system
stable, and draw them on the truss. (You may need to add newbars).Prove that the new system is stable