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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Autumn Examinations 2010/
Module Title: Structural Analysis
Module Code: CIVL
School: Building and Civil Engineering
Programme Title: Bachelor of Engineering in Civil Engineering
Programme Code: CCIVL_7_Y
External Examiner(s): Ms M. Kyne Mr J. Murphy Internal Examiner(s): Mr J.J. Murphy
Instructions: Answer all four questions. 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.
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. (16 marks) (b) Draw the shear force and bending moment diagrams for the beam, noting the principal values (including all local maximum and minimum values). (9 marks) E = 210 kN/mm^2 I = 6000 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. (25 marks)
Q3. (a) A composite shaft comprises a solid aluminium section, a hollow bronze section and a solid steel section connected together and attached to a fixed support as shown in Fig. Q3. Determine the maximum torque (T) that can be applied to the free end of the shaft if the limits of shear stress in the steel, bronze and aluminium are 70 N/mm^2 , 45 N/mm^2 and 40 N/mm^2 respectively. Determine also the rotation at the end of the shaft and the strain energy stored in the shaft when the torque T is applied. (18 marks) (b) A hollow steel shaft of external diameter 400 mm and internal diameter 200 mm is subjected to a torque of T so that yielding occurs to a depth of 40 mm. If the shear stress at yield is 165 N/mm^2 , determine the magnitude of T. If the shaft is subsequently unloaded, determine the residual stress on the outside surface of the shaft. (7 marks) GSTEEL= 80 kN/mm^2 GBRONZE = 40 kN/mm^2 GALUMINIUM = 30 kN/mm^2
