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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Autumn Examinations 2008/
Module Title: Theory of Structures
Module Code: CIVL 8021
School: Building and Civil Engineering
Programme Title: Bachelor of Engineering (Honours) in Structural Engineering – Stage 3
Programme Code: CSTRU_8_Y
External Examiner(s): Prof. P. O’Donoghue, Mr. P. Anthony Internal Examiner(s): Mr JJ. Murphy
Instructions: Answer all four questions
Duration: 2 Hours
Sitting: Autumn 2009
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.
Q1. A steel beam for which I = 250 x 10 6 mm^4 is simply supported at A and B and also by mild steel ties for which A = 250 mm^2 as shown in Fig. Q1. The beam is loaded by two vertical loads of magnitude 50 kN and 10 kN as shown. Use the flexibility method the values of the forces n the ties. Hence draw the bending moment diagram for the beam, noting the principal values.
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. (b) Determine the maximum compressive and tensile forces in Member 2 when the truss is traversed by a uniform load of magnitude 10 kN/m and length 12.0 m. (c) Determine the maximum compressive force in Member 3 when the truss is loaded by a reversible train of point loads 20 kN; (1.0 m); 30 kN, (2.0m), 25 kN. (d) Determine the maximum tensile force in Member 3 when the truss is traversed by a uniform load of magnitude 10 kN/m and length 5.0 m.
Q3. The frame shown in Fig. Q3 has rigid joints at B, C and E, fixed foundation connections at D and F and a pinned foundation connection at A. It is subjected to the combined vertical and horizontal loads shown. The plastic moment capacities of the members are: AB, DC: Mp = 200 kNm. BC, EF: Mp = 300 kNm. CE: Mp = 600 kNm. Neglecting the effects of shear and axial force and the self-weight of the frame, determine the load factor of the frame. Hence, determine the foundation reactions at the onset of collapse and sketch the bending moment diagram at collapse, noting all significant values.
