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07-Str-A1: December 2014

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 and bending moment diagrams for three structures
  3. Question 3 Vertical deflection at B of a beam with stepped stiffness
  4. Question 4 Member forces in two determinate trusses
  5. Question 5 Influence lines for a determinate three-span structure, and a moving vehicle
  6. Question 6 Two-storey frame by slope-deflection
  7. Question 7 Three-hinged gabled frame
  8. Question 8 Horizontal deflection at C by virtual work

Start with Question 1 →

Paper format. National Examinations, December 2014 — 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 + 18 + 18 + 20 + 20 = 100). All eight questions are solved below, because the three alternatives test quite different methods — moment distribution, statics of a three-hinged frame, and virtual work — and the complete set is the more useful study resource.

Reference texts.

Check: support types were read from the printed drawings, not from the text. Every support symbol, internal hinge and member line quoted below was taken from the drawings. In this subject the drawings carry data that appears nowhere in the printed text, and the classification in Question 1 in particular turns entirely on telling a pin (plain triangle on hatching) from a roller (triangle over rollers) and a rigid joint from a hinge (small open circle).