National Examination — Statics and Dynamics (04-BS-3), December 2014. 3 hours, closed book (one 8.5"×11" self-prepared note sheet permitted). Candidates were required to complete 2 of the 3 questions in Part A (Statics) and 2 of the 3 questions in Part B (Dynamics); every question in both parts is solved below.
Reference texts: Hibbeler, Engineering Mechanics: Statics; Hibbeler, Engineering Mechanics: Dynamics.
Check — figure readings (Questions 1 and 3): (1) In Figure 1's truss only three members meet at joint D (C–D, D–B, D–E) — there is no separate C–E member, and the truss coordinates are A(0,0), B(4,0), C(1,2), D(3,2.6), E(7,4) m. (2) Figure 3A's axial dimension stack (2+4+2+4+2 = 14 in) does not sum to the labelled overall height of 16 in unless the hub's "2 in." label is read as a half-thickness measured from the shaft centreline (giving a full hub thickness of 4 in, which closes the stack exactly: 2+4+4+4+2 = 16 in). Both readings are disclosed here and used consistently in the solutions below.
