Cork Institute of Technology
Bachelor of Engineering (Honours) in Structural Engineering – Stage 2
(NFQ – Level 8)
Autumn 2007
Solid Mechanics & Structures I
(Time: 3 Hours)
Instructions
Answer any FIVE questions.
All questions carry equal marks
Examiners: Mr. J. J. Murphy
Prof. P. O’Donoghue
Mr. P. Anthony
Q1. A plane pin-jointed framework is attached to a roller support at A and a pinned support at
B and is loaded as shown in Fig. Q1. All the members are of steel and have cross-
sectional areas of 1500 mm2. Taking E = 205 kN/mm2 determine the horizontal deflection
of point C.
Q2. A uniform beam is loaded and supported as shown in Fig. Q2.
(a) Write the equation for the bending moment using Macaulay’s notation and hence
determine the vertical deflections at C and D.
(b) Draw the shear force and bending moment diagrams for the beam, noting the principal
values (including all local maximum and minimum values).
E = 205 kN/mm2 I = 2000 cm4
Q3. (a) Determine the horizontal and vertical reactions at A and G for the uniform two pinned
portal frame shown in Fig. Q3.
(b) Draw the bending moment diagram for the frame, noting the principal values (at each load
position).
