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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Autumn Examinations 2010/
Module Title: Theory of Structures
Module Code: CIVL
School: Building and Civil Engineering
Programme Title: BEng (Hons) in Structural Engineering – Year 3
Programme Code: CSTRU_8_Y
External Examiner(s): Dr. MG Richardson Mr. J O’Mahony Internal Examiner(s): Mr D Coleman Mr JJ Murphy
Instructions: Answer all four questions Use seperate answer books for each section All questions carry equal marks.
Duration: 2 hours
Sitting: Autumn 2011
Requirements for this examination:
Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the correct examination paper. If in doubt please contact an Invigilator.
SECTION A
Q1. A steel beam, for which I = 50 x 10^6 mm^4 , is fixed to a support at A and is also supported at B and C by mild steel ties, for which A = 200 mm^2 , as shown in Fig. Q1. It is subjected to a uniform load of 10 kN/m between B and C as indicated. Use the flexibility method to find the axial forces in each of the ties. Hence draw the bending moment diagram for the beam, noting the principal values. E = 205 kN/mm^2 The beam may be assumed to have infinite axial stiffness while the ties have zero flexural stiffness. (25 marks)
Q2. The pin-jointed truss shown in Fig. Q2 is simply supported at A and B and is loaded on its upper boom. (a) Draw the influence lines for the axial forces in Members 1, 2 and 3, noting significant values. (10 marks) (b) Determine the maximum force in Member 1 when the truss is traversed by a symmetrical train of point loads 30 kN; (1.0 m); 20 kN; (1.0 m); 30 kN. (5 marks) (c) Determine the maximum tensile and compressive forces in Member 2 when the truss is loaded by a uniform dead load of magnitude 15 kN/m and a uniform live load of magnitude 10 kN/m. (5 marks) (d) Determine the maximum force in Member 3 when the truss is traversed by a uniform load of magnitude 8 kN/m and length 6.0 m. (5 marks)
