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16-Civ-A1 Elementary Structural Analysis: May 2018

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

  1. Question 1 Classify each structure — unstable / determinate / indeterminate
  2. Question 2 Reactions, shear- and bending-moment diagrams
  3. Question 3 Vertical deflection at B of a non-prismatic beam
  4. Question 4 Truss member forces (tension / compression)
  5. Question 5 Influence lines
  6. Question 6 Continuous frame by moment distribution
  7. Question 7 Frame with relative $EI$ (slope-deflection / moment distribution)
  8. Question 8 Truss joint deflections by virtual work

Start with Question 1 →

Paper: National Exams — May 2018, 16-Civ-A1 Elementary Structural Analysis (closed book, 3 h; Casio/Sharp calculator permitted). Six questions constitute a complete paper: answer Q1–Q5 and one of Q6/Q7/Q8. For completeness all eight questions are worked here.

Reference texts: R. C. Hibbeler, Structural Analysis (10th ed., Pearson) — determinacy (Ch. 2), method of joints & sections (Ch. 3), shear & moment diagrams (Ch. 4), influence lines (Ch. 6), virtual-work deflections (Ch. 8–9), moment distribution / slope–deflection (Ch. 11–12); A. Kassimali, Structural Analysis (6th ed., Cengage) — internal hinges, compound (Gerber) beams, indeterminate frames.

Sign convention. Upward reactions positive; sagging bending moment positive (tension on the underside), hogging negative; member axial force tension positive (T), compression negative (C).

These A1 papers are defined entirely by their figures, so every structure is redrawn to scale below.