BCEE_345_Second_Midterm_exam - Name Student Number...

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Unformatted text preview: Name ______________________________ Student Number ______________________________ Department of Building, Civil & Environmental Engineering BCEE 345 – Structural Design II (Reinforced Concrete Design) Second Midterm Exam Winter 2007 Dr. K. Galal Duration of examination: 11:45 am to 1:00 pm This examination paper includes 3 questions in 3 pages. You are responsible for ensuring that your copy of the paper is complete. Bring any discrepancy to the attention of your invigilator. Special Instructions: 1- This is a CLOSED BOOK exam with the exception that students will be allowed to use an unmarked copy of the design standard CSA A23.3 i.e. PART I of the “Concrete Design Handbook”. The rest of the handbook should not be used. 2- This exam is for a total of 100 points. 3- Attempt ALL THREE questions. 4- The use of any programmable calculator is not allowed. 5- Use information provided. 6- If given data is not sufficient, assume reasonable values for any additional needed information. 7- State clearly all assumptions made. 8- This examination paper must be returned. Design aids: ⎛ 2 K r ⎞ α 1φ c f c′ ⎟ ▪ ρ = ⎜1 − 1 − ⎜ α 1φc f c′ ⎟ φ s f y ⎝ ⎠ φ s ρf y ⎞ ⎛ ▪ K r = φ s ρf y ⎜1 − ⎜ 2φ α f ′ ⎟ ⎟ c 1 c⎠ ⎝ ▪ ≤ ρ max = α 1 β1φ c f c′ ⎛ 700 ⎜ φ s f y ⎜ 700 + f y ⎝ ⎞ ⎟ ⎟ ⎠ Mr = bd 2 × 10 −6 Kr ▪ s ≥ 1.4 db , ≥ 1.4 amax , ≥ 30 mm ▪ min. clear cover to the outside of stirrups: 40mm (exposed), and 30mm (non-exposed) ▪ Note: Areas and diameters of reinforcing rebars are in page 220 of the Concrete Design handbook Continued on page 2 2 Problem 1: [40 points] The following figure shows the top plan view of a floor that is supported by three RC beams. Section X-X shows the dimensions and reinforcement of the beam along axis B. It is required to calculate the factored moment resistance, Mr, of the beam along axis B. Data: fc' = 25 MPa; fy = 400 MPa; Interior exposure; amax = 25 mm; 10M stirrups; 400x400 columns. A h = 600 mm 100 B C 1 10-30M 400 6000 mm 400 2 1500 mm 1500 mm Section X-X X X [Hint: No need to check minimum reinforcement, crack control, horizontal spacing between rebars, and skin reinforcement] 400 Problem 2: [35 points] The following figure shows the cross-section of a RC T-beam. The beam has U-shaped 10M stirrups at a uniform spacing of 200 mm. [20] It is required to calculate the factored shear capacity, Vr, of the beam. [15] If the factored shear force at the critical section, Vf , is equal to 300 kN, check the adequacy of the shear resistance of the beam. Check if the 200 mm spacing meets the code requirements for maximum spacing between the stirrups. [Hint: If the web reinforcement is not sufficient, no need to provide a revised design]. 500 h = 600 mm Data: fc' = 30 MPa; fy = 400 MPa. 300 Continued on page 3 d = 510 mm 3 Problem 3: [25 points] Section Y-Y shows the cross-section of the continuous beam A-B-C-D at the mid-span of panel BC. The instantaneous deflections at the mid-span of the panel B-C due to service dead load and total load are 4.0 mm and 10.0 mm, respectively. It is required to: [5] Calculate the instantaneous deflection due to service live load. [15] Check long-term deflection at the mid-span of panel B-C according to the CSA A23.3-04 deflection limitations, given that partitions were installed after 3 months of removing the shoring and that 25% of the live load is sustained. Note that partitions are likely to be damaged by large deflections. [5] Comment on the results, and suggest solutions to meet the code requirements without changing the concrete dimensions of the elements. Y A B Columns 300x300 mm Y C D 6.00 m 6.00 m 6.00 m h = 600 mm 300 Section Y-Y The End Best wishes Continued on page 4 d = 510 mm ...
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This note was uploaded on 03/11/2009 for the course ENGR BCEE 345 taught by Professor Drgala during the Winter '07 term at Concordia Canada.

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