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16-Civ-B2 Advanced Structural Design: Undated paper

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Two-span continuous beam — lightest wide-flange section
  2. Question 2 Rigid-jointed frame — one wide-flange section for beam and columns
  3. Question 3 Two sections for the Figure 1 beam, with a welded moment splice at B
  4. Question 4 Reinforced concrete beam for the Figure 3 loading
  5. Question 5 Square reinforced concrete column for the Figure 2 frame with a rigid deck
  6. Question 6 Rectangular footing at 3:1 for column A–B, and the column-to-pier connection
  7. Question 7 Prestressed beam for the Figure 3 loading, and its long-term deflection

Start with Question 1 →

Paper format. 16-Civ-B2 Advanced Structural Design, 3 hours, closed book (handbooks and textbooks permitted). Seven design questions of 20 marks each in three parts — Part A (steel, do two of three), Part B (reinforced concrete, do two of three) and Part C (prestressed concrete, do question C1); five solutions constitute a complete paper. All seven are solved here, because the set is a study resource rather than an examination script.

Design data given on page 1. Solutions to the latest CAN/CSA S16 (steel), CAN/CSA A23.3 (concrete) and CAN/CSA O86 (timber). All loads shown on the figures are unfactored. Structural steel is G40.21 300W unless noted, so $F_y = 300\ \text{MPa}$ and $E = 200\,000\ \text{MPa}$; reinforcement is 400W, so $f_y = 400\ \text{MPa}$. Concrete strengths are stated question by question (25 MPa in B1 and B3, 35 MPa in B2, 40 MPa in C1). Load combinations follow NBCC Table 4.1.3.2.

Reference texts. CISC, Handbook of Steel Construction, 12th ed. (CSA S16-19 with commentary) — Parts 1, 4 and 5; Kulak & Grondin, Limit States Design in Structural Steel, 10th ed.; MacGregor & Bartlett, Reinforced Concrete: Mechanics and Design (Canadian edition); CAC, Concrete Design Handbook, 4th ed. (A23.3 with explanatory notes); Collins & Mitchell, Prestressed Concrete Structures; CPCI, Design Manual, 5th ed.; NBCC Part 4 for loads and load combinations.

Every value quoted here was read from the printed figure of the original page: B1 uses 25 MPa, B2 uses 35 MPa, B3 uses 150 kPa allowable / 225 kPa ultimate with 25 MPa concrete, and C1 refers to Figure 3, not Figure 2.