PROJECT # 2: STATICS OF PARTICLE & RIGID BODY – MATHEMATICAL PROGRAMMING A.
Project Outcome: By the end of the project, the students should be able to: 1)
Analyze the force resultant problem of a particle and solve it using mathematical programming software.
2)
Analyze the moment resultant problem of a rigid body and solve it using mathematical programming software.
3)
Analyze the rigid body equilibrium problem and solve it using mathematical programming software.
B.
Project Materials: In order to complete the projects, the resources required are:
C.
1)
Computer
2)
Statics book – diagram of supports for rigid bodies.
3)
Excel for Engineers book
4)
Microsoft Excel
Project Performance Standards: The performance standards required for the projects: 1)
Submit Microsoft excel file containing the solution of problem within 4 weeks from date assigned. Late assignment will not be accepted.
2)
Successful completion of all problem and meeting all the criteria as below: i. Answer each problem on separate worksheets. ii. Each problem shall have its own pictures representing the problem. For problem 3, the picture must have support reactions drawn on it. iii. Ensure all forces and/or dimensions as variables which can be keyed-in by users. However, for submitting purposes, these variables shall contain the value represented in the problem. iv. Show equations (force resultant, moment resultant or equilibrium) as necessary. For problem 3, matrix equations must be shown. v. Show final answers. vi. Ensure all graphs are properly identified such as title, axes identification and its units are shown.
3)
MM 09
50% of the problems have correct answers and solution.
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GROUP # 1 Problem 1
• Using Microsoft excel, plot
Problem 2
• Using Microsoft excel, plot
Problem 3
• The lever is pin supported at
graph of force resultant
graph of moment resultant
point A and rest on smooth
versus θ acting at structural
at point O versus θ.
contact at point B.
member.
Determine all support reactions at A and B.
GROUP # 2 Problem 1
• Using Microsoft excel, plot
Problem 2
• Using Microsoft excel, plot
Problem 3
• The structure is support with
graph of force resultant
graph of moment resultant
ball joint at A and smooth
versus θ acting at structural
at point A versus θ
pin at point B. Determine all
member.
MM 09
support reactions at A ad B.
2
GROUP # 3 Problem 1
• Using Microsoft excel, plot
Problem 2
• Using Microsoft excel, plot
Problem 3
• The beam is supported by
graph of force resultant
graph of moment resultant
smooth pin at A and rocker
versus θ acting at structural
at point P versus θ.
at B. Determine all support
member.
reactions at A and B.
GROUP # 4 Problem 1
• Using Microsoft excel, plot
Problem 2
• Using Microsoft excel, plot
Problem 3
• The structure is supported
graph of force resultant
graph of moment resultant
with roller at point A and
versus θ acting at structural
at point A versus θ.
smooth pin at point B.
member.
Determine all support reactions at A and B
MM 09
3
GROUP # 5 Problem 1
• Using Microsoft excel, plot
Problem 2
• Using Microsoft excel, plot
Problem 3
• The structure is supported by
graph of force resultant
graph of moment resultant
roller at A and pin supported
versus θ acting at structural
at point B versus θ.
at B. Determine support
member.
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reactions at A and B.
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