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07-Str-A1: May 2015

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

  1. Question 1 Determinacy and stability of six structures
  2. Question 2 Reactions, shear force and bending moment diagrams for three structures
  3. Question 3 Vertical deflection of a pin-jointed truss by virtual work
  4. Question 4 Member forces in two trusses
  5. Question 5 Influence lines for a compound beam and for a truss diagonal
  6. Question 6 Frame by the slope-deflection method
  7. Question 7 Deflection of a tie-rod-supported beam by virtual work
  8. Question 8 Three-hinged gable frame

Start with Question 1 →

Paper format. National Examinations, May 2015 — 07-Str-A1 Elementary Structural Analysis. Three hours, CLOSED BOOK, an approved Sharp or Casio calculator permitted. Six questions constitute a complete paper: answer ALL of Questions 1 to 5 and ONE of Questions 6, 7 or 8. Marks are shown in the left margin (6 + 18 + 16 + 18 + 20 + 22 = 100). All eight questions are solved below, because the three alternatives exercise quite different methods — slope-deflection, virtual work and the statics of a three-hinged frame — and the complete set is the more useful study resource.

Reference texts.

Check: every support type, hinge and member below was read off the drawings, not off the printed text. In this subject the text carries almost no data: spans, loads, support types and hinge positions exist only in the hand-drawn figures. The classification in Question 1 in particular turns entirely on telling a pin (plain triangle on hatching) from a roller (triangle over two rollers) and a rigid joint from an internal hinge (small open circle).