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07-Str-A1: May 2017

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

  1. Question 1 Stability and Degree of Static Indeterminacy
  2. Question 2 Reactions, Shear and Bending Moment Diagrams
  3. Question 3 Vertical Deflection at the Overhang Tip by Virtual Work
  4. Question 4 Truss Member Forces
  5. Question 5 Influence Lines
  6. Question 6 Triangular Truss — Member Forces and Joint Deflection
  7. Question 7 Frame by Slope Deflection — Shear and Moment Diagrams
  8. Question 8 Deflection of a Strut-Propped Beam by Virtual Work

Start with Question 1 →

Paper format. 07-Str-A1 Elementary Structural Analysis, National Examinations, May 2017. Three hours, CLOSED BOOK (an approved Sharp or Casio calculator is permitted). Page 1 states that six questions constitute a complete paper: Questions 1–5 are compulsory and the candidate answers one only of Questions 6, 7 or 8. All eight questions are worked below.

Sign conventions used throughout. Sagging bending moment is positive and is plotted above the axis; shear is the sum of the upward forces on the portion to the left of the section. Truss member forces are quoted as T for tension and C for compression. In the slope-deflection work of Question 7 the member-end moments follow the usual convention — clockwise on the member end taken as positive — so the sagging moment is $+M_{ij}$ at the left end of a member and $-M_{ji}$ at its right end. For the bent members of Questions 2(c) the diagrams are developed: the abscissa is distance measured along the member axis, not the horizontal projection.

Reference texts.