1 of 5 CVEN2303 STRUCTUAL ANALYSIS AND MODELLING Assignment Name:_____________________________ Student No.:_________________ Workshop Room: __________________________________________________ Total number of Questions: 8 Submission Date: This assignment is to be submitted to the assignment box labelled “GAO” on 6th Floor in CE Building (next to the computer lab) by 5.00pm on Friday 16 September 2016, Week 8. Late submissions will not be accepted. Plagiarism: Beware. Plagiarism will not be tolerated! Identical submissions (and these are so easy to track!!) will be marked zero regardless of who copied from whom. Group work: I encourage you to work with your peers, although this is to be submitted as an individual work. A good way to learn the material is in small study groups. Such groups work best if members have attempted the problems individually before meeting as a group. A valued and honest collaboration occurs when, for example, you “get stuck” early on in attacking an exercise and go to your classmate with a relevant question. Your classmate then has the opportunity to learn from your question as well as help you. You then bring something to the collaboration. If someone offers you to copy their work, please keep on mind, they are taking away from you an opportunity to develop important engineering skills (and both of you will score zero!!). Presentation: All your workings must show detailed calculations. Presentation and neatness will also contribute towards your tutorial mark. 2 of 5 Question 1: The truss is loaded as shown below. EA for all bars is 40 x 103 kN. Use the virtual work method to determine the vertical displacement at joint B and horizontal displacement at joint E. Question 2: The truss is loaded as shown below. EA for all bars is 50 x 103 kN. 1) Use the force/flexibility method to determine the member forces and reactions. 2) Use the virtual work method to determine the horizontal and vertical displacements at joint E. A 40 kN 3 m C 3 m B D E 3 m 40 kN 40 kN A 40 kN 4 m 3 m C 60 kN 4 m 4 m B D E F Figure 1 Figure 2 3 of 5 Question 3: The truss is loaded as shown below. EA for all bars is 50 x 103 kN. 1) Use the virtual work method to determine the horizontal and vertical displacements at joint A. 2) Determine the horizontal and vertical displacements at joint F. Question 4: The truss is loaded as shown below. EA for all bars is 50 x 103 kN. 1) Use the virtual work method to determine the horizontal and vertical displacements at joint B. 2) Determine the horizontal and vertical displacements at joint C. E 50 kN 4 m A 4 m D C B 4 m 20 kN A 30 kN 6 m E 50 kN 8 m 8 m B F C D 20 kN 6 m Figure 3 Figure 4 4 of 5 Question 5: For the beam structure shown below, use the force method to 1) Determine the reactions at supports A, B and C. 2) Draw the bending moment diagram and indicate the peak values. Note: Neglect the effects of shear and axial forces; EI is constant (their values could be E  200 GPa and 7 4 I  5010 mm ). Question 6: For the beam structure shown below, compute all reactions and draw shear force and bending moment diagrams. E  200 GPa and 7 4 I  8010 mm . B C 16 kN A 5 m 5 m 8 m 8 m 20kN B C 20 kN 5 kN/m A 5 m 5 m 10 m Figure 5 Figure 6 5 of 5 Question 7: Determine all reactions. EI is constant (their values could be E  200 GPa and 7 4 I  5010 mm ). Neglect deformations due to N and S. Question 8: Draw the bending moment diagram. EI is constant (their values could be E  200 GPa and 7 4 I  5010 mm ). Neglect deformations due to N and S. E 10 kN/m 5 m F 5 m 10 kN/m A B 30 m 4 kN/m D 15 m 20 kN 15 m C Figure 7 Figure 8

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