Download Macaulay’s Notation - Structural Analysis - Old Exam Paper and more Exams Structural Analysis in PDF only on Docsity!
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 – Award
Programme Code: CCIVL_7_Y
External Examiner(s): Ms M Kyne, Mr. J Murphy Internal Examiner(s): Mr JJ Murphy
Instructions: Answer all four questions. All questions carry equal marks
Duration: 2 Hours
Sitting: Autumn 2010
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 = 4000 cm^4
Q2. The uniform frame shown in Fig. Q2 has rigid joints 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 compound shaft comprises a solid bronze section of diameter 120 mm securely connected to a hollow steel tube of external diameter 100 mm and internal diameter 50 mm as shown in Fig. Q3(a). A torque of 20 kNm is applied at B. (i) Determine the rotation at B. (ii) Determine the maximum shear stresses in the steel and bronze. (iii) Determine the maximum torque that can be applied at B if the maximum permissible shear stresses in the steel and bronze are 80 N/mm^2 and 30 N/mm^2 respectively. (13 marks) GSteel = 80 kN/mm^2 GBronze = 35 kN/mm^2
(b) A steel box section has external dimensions 120 mm x 120 mm and wall thicknesses as shown in Fig. Q3(b). The section is subjected to a torque of 0.6 kNm. Determine the maximum shear stress in the section and the rotation per metre length of the section: (i) when a longitudinal slit that runs along the full length of the section is formed at point A on the cross-section. (ii) when there is no slit in the section. (12 marks) Aide memoire: τ = T/2tAm, θ = (T l /4Am^2 G)(∫ds/t), θ = 3T l /(GΣdt^3 ), τ = tGθ/ l G = 80 kN/mm^2
