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16-Civ-B1 Advanced Structural Analysis: December 2018

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

  1. Question 1 Schematic shear-force and bending-moment diagrams
  2. Question 2 Influence lines for the shear immediately left of support B
  3. Question 3 Castigliano’s theorem — deflection of an overhanging beam
  4. Question 4 Least work — propped cantilever under a partial distributed load
  5. Question 5 Slope-deflection — trapezoidal frame with a settling support
  6. Question 6 Flexibility (force) method — symmetric frame under a distributed load
  7. Question 7 Slope-deflection — gable frame with load and support settlement
  8. Question 8 Slope-deflection — symmetric two-chord frame
  9. Question 9 Deriving the stiffness matrix and load vector of a parallel-leg frame

Start with Question 1 →

National Examinations — December 2018. 16-Civ-B1, Advanced Structural Analysis. Three hours, closed book (approved Casio or Sharp calculator only). Nine questions on seven pages: Questions 1 and 2 are compulsory (12 and 8 marks); the candidate then answers TWO of Questions 3, 4 or 5 (18 marks each) and TWO of Questions 6, 7, 8 or 9 (22 marks each), so six questions make a complete paper of 100 marks. Because this set is a study resource, all nine questions are solved here.

Reference texts. R. C. Hibbeler, Structural Analysis, 10th ed. (Pearson) — Ch. 6 influence lines, Ch. 8–9 deflections and virtual work, Ch. 10 force (flexibility) method, Ch. 11 slope-deflection, Ch. 12 moment distribution, Ch. 15–16 matrix stiffness. A. Kassimali, Structural Analysis, 6th ed. (Cengage) — Ch. 7 Castigliano and least work, Ch. 8 influence lines, Ch. 13 slope-deflection, Ch. 17–18 matrix stiffness. A. Ghali, A. M. Neville and T. G. Brown, Structural Analysis: A Unified Classical and Matrix Approach, 7th ed. (CRC). Canadian context for the support-settlement questions: NBC 2020 Part 4 and CSA S6:19 treat differential settlement as an imposed deformation to be combined with the permanent loads, so the self-equilibrating moment sets computed in Questions 1(c), 5 and 7 are real design actions, not curiosities.

Check: representative dimensions in Questions 1 and 2. The source prints no dimensions on any of the five structures in Questions 1 and 2 — they are labelled “schematically show”. Every shape, every zero and every discontinuity below is dimension-independent and is what the marker is looking for. To put real numbers on the ordinates, representative dimensions have been adopted in the drawn proportions and are stated with each part; they are declared here rather than presented as data read off the paper.