Meen 2240
Pranil Dabadi
project12.pdf
1
Instructions:
Project 1 has 5 problems, solve the problems individually. Make sure you have all your MATLAB code, plots, figures and answers included in sequence, save as one pdf file, before submitting to Canvas.
Honor Pledge: I promise or affirm that I will not at any time be involved with cheating, plagiarism, fabrication, or misrepresentation while enrolled as a student at The University of North Texas. I have read the Academic Honor Code, which explains disciplinary procedures that will result from the aforementioned. I understand that violation of this code will result in penalties as severe as indefinite suspension from the University.
(signature)
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Project 1
2
1. For the system shown in the figure below, solve the following problems:
i) find the unit vectors (u1, u2, and u3) for F1, F2, and F3 respectively.
ii) using the results in part (i), determine the force vectors.
iii) organize the three forces from part (ii), put them in matrix form.
iv) using ‘sum’ function to sum up the x and y components from part (iii), to determine the resultant force FR.
x y
F1
F2
F3
2. Determine the moment projected by the force F in the above figure about point O. Express the result as a Cartesian vector.
i) find the position vectors rA, rB, and rAB.
ii) using the results in part (i), determine the unit vector uAB.
iii) organize the forces from part (ii), by using F = F � uAB.
iv) using ‘cross’ function to determine the moment by using rA x F, or rB x F
3
5 kN
4
3. The three forces act on the rod shown in figure. Determine he resultant moment they create about the flange at O. Express the result as a Cartesian vector.
F3 = {30i + 30j} N
C
5
4. The forces in the eight members of the truss shown in figure are determined from the solution of the following system of eight equations (equilibrium equations of pins A, B, C, and D):
0.9231 1690
0.7809 0
0.8575 0
0.3846 3625
0.6247 0
0.5145 0
0.3846 0.3846 0.7809 0
0.9231 0.6247 0.9231 0
AC
AB BC
CD DE
AB AC
BC BD
BD DE DF
CE AC BC CD
AC BC CE
F
F F
F F
F F
F F
F F F
F F F F
F F F
=
- =
+ =
- - =
- =
- - =
- - - =
+ - =
Write a MATLAB programming to determine the forces in the eight members.
6
5. Application of MATLAB.
From mechanical engineering courses, try to use MATALB to solve one engineering problem, which is complicated to be solved by hand. List the question came from which UNT course, MATLAB programming part, and result for this problems.
