Consult the diagram of trusses and pivots below: In the diagram above, all bars

Question

Consult the diagram of trusses and pivots below:

In the diagram above, all bars are straight vertical or horizontal, except for the following bars (whose angles are indicated)
Bars3and5are30 degreesfrom horizontal
Bars1and8are45 degreesfrom horizontal
Bars10and12are60 degreesfrom horizontal

(A)Remove the following bars and redraw the system on your own paper:

(B)Compute the matrixAfor your truss system from(A). Write your result in the forme=A?u.

(C)Show that your truss system is unstable.
(The matlab command rank(A) tells the number of pivots thatAhas.)

(D)Find the mechanisms, and draw one of them.
(The matlab command null(A,'r') computes the null space ofA.)

(E)Find the least number of bars to make the truss system stable, and draw them on the truss.
Prove that the new system is stable.

Explanation / Answer

yes the system is in equilibrium Bars3and5are30 degreesfrom horizontal

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