04-BS-3 / May 2019 — Statics and Dynamics. Closed book; one 8½″×11″ self-prepared note sheet permitted; approved Casio/Sharp calculator. Candidates were instructed to complete 5 of 6 questions (3 of 3 Part A, 2 of 3 Part B) — all 6 are solved below. Reference texts: Hibbeler, Engineering Mechanics: Statics, 14th ed.; Hibbeler, Engineering Mechanics: Dynamics, 14th ed.
Two genuinely under-dimensioned figures required a stated assumption per the exam's own Note 1 ("if doubt exists… submit a clear statement of any assumption made"): Question 1's pin at A is taken as free to rotate about the pipe's own axis A–E (so $M_{Ay}=0$), and cable anchor C is read at the same plan position as A but 1 m higher; Question 2's support at D is read as a roller (horizontal reaction only) rather than a second pin, since two full pins on 7 members (m+r=11 vs 2j=10) is statically indeterminate and unsolvable by first-year statics — the roller reading returns exact, self-consistent reactions. Question 6's rod angle was measured directly from the printed figure (≈31.4° below horizontal) since it is not given numerically.
