CIVE 3206 Final Exam: Guidelines and Sample Questions

Page 1 of 8 CARLETON UNIVERSITY DEPT. OF CIVIL AND ENVIRONMENTAL ENGINEERING CIVE 3206 FINAL EXAM April 18, 2021 Instructions: This exam is to be completed on your own paper (or on a tablet). This exam is designed to be three hours long, but you have a total of 4 hours to complete and submit it. You may start writing as soon as it becomes available on CuLearn. See the table below for exam schedule and deadlines.  Write page numbers on top right-hand corner of each page (-5 marks if not done)  Start each question on a new sheet  Clearly identify your final answer(s). Permitted aids: The exam is “open book” in that only the following aids are permitted:  Concrete Design Handbook with no writing inside  Your own lecture notes made by yourself this term  Handouts and pdf files provided on CuLearn this term  Your own assignments  Assignment solutions from this year  Handheld calculator (calculations may be completed only with this) The CuLearn page for this course will be fully hidden except for the “Final Exam” section by 8:00am on the morning of the exam. Exam Schedule and Deadlines: Time Activities 9:00am Exam question sheet becomes available on CuLearn. 9:00am – 12:30pm a) Download exam. b) Write exam on your own paper. c) Scan exam and convert to pdf. 12:30 – 1:00pm Submit online through CuLearn. 1:00:00 pm Grace period to submit exam ends. Late penalty starts. Late Penalty = subtract 1 mark per 20 seconds late (strictly enforced) Students registered with PMC have later deadlines as indicated on pg. 2 Do not email solutions. You should have CuLearn open to the page “Final Exam -Realtime Updates from T Sherwood.” On this page I will provide any notices related to the exam while it is underway. If you have a question about the exam text “question” to the number written on that page and I will call you back. I will also be monitoring email. Solutions must be neat, legible and expressive of clear and rational thinking in order to receive marks. Messy or otherwise unclear solutions will nor be graded. If you feel that any information is missing from a question, make an appropriate assumption and continue with your solution. If unneeded information is provided, ignore it.

Page 2 of 8 This exam is to be completed individually with no collaboration or communication with any other person for any reason . For one bonus mark do the following: at the end of your exam write “ This exam has been completed solely by me with no communication or collaboration with anyone else. I have used only the permitted aids. Not doing so is dishonourable and represents an act of dishonesty towards myself and my classmates ” and sign your name beside this statement. Good luck! End of grace period for students registered with PMC (all times EST) No PMC Accommodation: 1:00:00 pm 25% Extra Time: 2:00 pm 33% Extra Time: 2:20 pm 50% Extra Time: 3:00 pm 66% Extra Time: 3:40 pm 100% Extra Time: 5:00 pm

Page 3 of 8 Grading Scheme: Question Marks 1 /20 2 /20 3 /20 4 /20 5 /20 Grade: /100 A reminder: it is very easy for a marker to tell when a solution has been copied from (or completed with the aid of) other people or unauthorized aids, either on an exam or an assignment. Don’t do it.

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Page 4 of 8 Question 1: Columns The square tied column is subjected to the following loads: P F = 1500 kN M Fx = 150 kN-m M Fy = 130 kN-m Is the column safe? In your solution sketch the CAC interaction curve(s) you used and show how you used them. 350 mm 8-20M 𝑓 ௖ ᇱ = 40 MPa 𝑓 ௬ = 400 MPa 𝐴 ௦ = 2400 mm 2 350 mm 125 mm 125 mm

Page 5 of 8 Question 2: Shear The simply-supported beam shown below supports a factored load of 55 kN/m which consists entirely of dead load and self weight (the beam is not subjected to any live load). Design the shear reinforcement. Use double-legged 10M stirrups, and for simplicity use a single stirrup spacing everywhere along the length of the beam. The distance between the inside faces of the supports is 6000mm. 𝑓 ௖ ᇱ = 35 MPa 𝑓 ௬ = 400 MPa 𝐸 ௦ = 200,000 MPa max aggregate size = 10 mm

Page 6 of 8 Question 3: Flexure You are designing the cross-section of a rectangular beam to resist a factored moment of M F = 400 kN-m. For architectural reasons the cross-section dimensions are required to be b = 300mm and h = 500mm. The concrete strength is f’ c = 30 MPa. Design the longitudinal reinforcement. The beam is to be used inside an office building.

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Page 7 of 8 Question 4: Axial An axial element 5m in length is subjected to a load of N = 61 kN. The element has the cross- section shown and is reinforced with four 25M rebars. It is drying out and experiencing drying shrinkage which will eventually cause the concrete to crack. Calculate the following, assuming a creep coefficient of 0.5. Ignore self-weight. (a) the shrinkage strain that will cause cracking (b) the member elongation just prior to cracking (c) the steel stress just prior to cracking (d) the member elongation just after cracking (e) the steel stress just after cracking 𝑓 ௖ ᇱ = 35 MPa 𝑓 ௬ = 400 MPa 𝐸 ௦ = 200,000 MPa 𝐴 ௖ = 88,000 mm 2 𝐴 ௦ = 2000 mm 2

Page 8 of 8 Question 5 a) Footings (10 marks) A square spread footing supports a square column at its centre. Column loads are P F = 5000kN and M F = 500kN-m. Does the footing have sufficient one-way shear capacity? 𝑓 ௖ ᇱ = 30 MPa b) Discussion (10 marks) Explain the problem that the pre-2019 ACI-318 code had in terms of calculating shear strength of reinforced concrete beams.

Final_CIVE_3206_2021

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