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16-Civ-A1 Elementary Structural Analysis: December 2015

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 Deflection of a trapezoidal bent (flexural, virtual work)
  4. Question 4 Member forces in two trusses
  5. Question 5 Indeterminate frame by moment distribution / slope-deflection
  6. Question 6 Three-hinged gable frame
  7. Question 7 Influence lines
  8. Question 8 Horizontal deflection of a truss by virtual work

Start with Question 1 →

Reference texts: R.C. Hibbeler, Structural Analysis (10th ed., Pearson) — determinacy, method of joints/sections, virtual-work deflections, moment distribution / slope–deflection, influence lines; A. Kassimali, Structural Analysis (6th ed., Cengage) — internal hinges, compound (Gerber) beams and three-hinged frames. Sign convention: sagging bending moment positive, upward reactions positive, member tension positive (T) / compression negative (C).

The paper requires Q1–Q4 in full plus two of Q5/Q6/Q7/Q8. For completeness all eight questions are worked here.