Notes: Before preparing your assignment for submission, please refer to the assignment preparation guidelines given at the end of this sheet. The Textbook for this course is “Structural Analysis” by R C Hibbeler, 9th edition in SI Units. This assignment is worth 20% to your overall grade, i.e. 200 marks. Q1 (10 marks) – Determinancy and stability. Do problem 2.14 of text book (p. 72). Q2 (10 marks) – Statically determinate truss analysis. For the truss shown in problem 3.20 of textbook (p. 130), (a) determine the member forces in GF, FC and CD using the method of sections. Present your results in a table and clearly identify tension by ‘T’ and compression by ‘C’ (5 marks) (b) determine member forces in AG, AB, BC and BG using the method of joints. Present your results in a table and clearly identify tension by ‘T’ and compression by ‘C’ (5 marks) Q3 (15 marks) – Shear and moment diagrams for statically determinate beams. For the beam shown in problem 4.28 of textbook (p. 178), (a) draw the shear force diagram for the whole beam (3 marks). (b) using eqn 4.4 of text book (ie. change in moment = area under the shear diagram), draw the bending moment diagram for the whole beam (5 marks). (c) determine the shear (V(x)) and moment (M(x)) functions for AB segment. Take A as origin of x (5 marks). (d) using the shear and moment functions in part (c), determine the shear and moment values at mid-span of AB. Check these values against the values from part (a) and (b) (2 marks). Q4 (25 marks) – Shear and moment diagrams for statically determinate frames. For the frame shown in problem 4.40 of textbook (p. 180), (a) draw the shear force diagram for the frame (8 marks). (b) draw the bending moment diagram for the frame (12 marks). (c) draw a free body diagram of joint B clearly showing axial and shear forces and moments acting at each side of the joint (5 marks). (Hint: see Fig 4.16 c in p. 161). Q5 (30 marks) – Cable and arch analyses. (a) For the cable shown in problem 5.16 of textbook (p. 206), determine the uniform load w (in kN/m) if the maximum allowable tension in the cable is 8000 N (not 5000 N as given in the text). For the calculated value of load, determine the location and value of minimum tension (15 marks). (b) For the three hinged arch shown in problem 5.28 of textbook (p. 208), determine the horizontal and vertical components of reaction A, B, and C (15 marks). Q6 (25 marks) – Drawing deflected shapes and use of double integration method for deflection calculation. University of Southern Queensland Faculty of Health, Engineering and Sciences Submit your assignment via the Study Desk link by the due date. CIV3505 : Structural Analysis Assignment 1 Due Date: 18 April 2017(a) Draw deflected shapes for the four cases given problem F8.2 (not 8.2) of textbook (p. 338). Give step by step procedure you have used (and explaining why) for the case shown in F8.2(c) (10 marks). (b) Do problem 8.3 of textbook (p. 342) using double integration method. Details of boundary condition at B is explained in problem 8.2. (Hint: Refer to case 6 in Table 2.1, p. 39 of textbook. Resisting moment at B implies that slope at B is zero) (marks 15). Q7 (30 marks) – Beam deflections by moment-area and conjugate beam methods. For the beam shown in problem 8.32 of textbook (p. 344): (a) using the moment-area method, determine the slope at B and the displacement at C (15 marks). (b) repeat Q7(a) using the conjugate beam method (15 marks). Q8 (20 marks)- Truss deflections by the method of virtual work. Determine the vertical displacement of joint A of the truss shown in (a) problem 9.15 of textbook (p. 396) (15 marks). (b) problem 9.17 of textbook (p. 396) (5 marks). Q9 (20 marks) – Frame deflections by the method of virtual work. For the frame shown in problem 9.46 of textbook (p. 400), determine the horizontal displacement of the end C (20 marks). Q10 (25 marks) – Statically indeterminate beam analysis by the force method. For the beam shown in problem 10.8 of textbook (p. 448), (a) determine the support reaction at B (Hint : consider taking reaction at B as the redundant) (15 marks). (b) draw the bending diagrams for the whole beam (10 marks). Assignment Preparation Guidelines The following is an outline of the format for Assignment Submissions in this subject: 1. Margins must be at least 10 mm on all sides. 2. Print your name in the upper right hand corner. 3. Follow a logical sequence in obtaining your solution. Show all calculation details. A marker must be able to check your work, quickly and accurately. 4. Draw all necessary sketches, figures and free body diagrams. Do not write ``refer to assignment sheet or text book’’ for figures. 5. Define all variables used in the calculations. 6. Use appropriate units. 7. Show final answers clearly. Use a box around or two forward slashes or double underlines to show your answer. If appropriate provide a clearly labeled summary table for each question. 8. Do not show final answers to large number of significant places. Three significant places will be appropriate in most cases. Up to 10% penalty may be applied for “poor overall appearance” if students have not adhered to the above listed guidelines. .