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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Semester 2 Examinations 2008/
Module Title: Structural Analysis (ACCS)
Module Code: CIVL
School: Building and Civil Engineering
Programme Title: B Eng in Civil Engineering
Programme Code: CCIVE_7_Y
External Examiner(s): Mr J Kindregan Mr J Lapthorne Internal Examiner(s): Mr A McIlwraith Mr JJ Murphy
Instructions: Answer all four questions
Duration: 2 hours
Sitting: Summer 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 uniform beam is loaded and supported as shown in Fig. Q1. (a) Write the equation for the bending moment using Macaulay’s notation and hence determine the vertical deflection at C. (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/mm^2 I = 2500 cm^4
Q2. The uniform frame shown in Fig. Q2 has rigid connections at B and C and fixed foundation connections at A and D. Using the method of moment distribution, determine the values of the bending moments at the joints and sketch the bending moment diagram noting all significant values.
Q3. (a) A composite shaft comprises a hollow steel section, a solid bronze section and a solid steel section connected together and attached to fixed supports as shown in Fig. Q3. The shaft is loaded by a torque of 25 kNm at B. Determine the rotations at B and C and the maximum shear stresses in the steel and bronze. Determine also the strain energy stored in the shaft.
(b) A solid steel shaft of diameter 150 mm is subjected to a torque of 125 kNm. If the shear stress at yield is 165 N/mm^2 , determine the depth of yielding in the shaft and the angle of rotation of a metre length of the shaft. Determine also the residual stress on the outside surface of the shaft when the shaft is unloaded.
GSteel = 80 kN/mm^2 GBronze = 40 kN/mm^2
