optimization design of a two bar truss using sequential method in matlab

Stress of each member does not exceed the allowable level, i.e., ?? ≤ ??⁄???
, ? = 1, 2.
(2) If a member is under compression, it should not buckle, i.e., ?? ≤ ???⁄???, ? = 1 or 2.
(3) The horizontal movement of point A does not exceed the allowable level, i.e., |?| ≤ ??.
(4) The vertical movement of point A does not exceed the allowable level, i.e., |?| ≤ ??.

Let ? and ? be the design variables where 3 ≤ ? ≤ 8 in and 12 ≤ ? ≤ 36 in. Let ?1 = 0.25 in.
Neglect constraints (3) and (4). Conduct a graphical solution to find the best design variables ?
∗
and ?
∗
such that the weight of the truss is minimum. Identify the active constraint(s) and determine
the corresponding ??? and ??? for each of the members, ?, and ?.
2. Let ?1, ?, and ? be the design variables where 0.1 ≤ ?1 ≤ 0.75 in, 3 ≤ ? ≤ 8 in, and 12 ≤ ? ≤ 36
in. Use the Sequential Simplex algorithm to find the optimum design variables ?1
∗
, ?
∗
, and ?
∗
such
that the weight of the truss is minimum. Present two sets of the results that are obtained by using
the initial vertices specified in Table 1, respectively.
3. Automate the main script so that it is able to generate a set of feasible initial vertices. Then present
two sets of the results using the format of Table 1.

1.Submit a project report (see the report requirements).
2. For Task 2, create a main Matlab script that will generate the results specified in Table 1.
3. For Task 3, create a main Matlab script that will generate the results with the initial simplex generated
randomly