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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Semester 1 Examinations 201 2 /1 3
Module Title: Structural Analysis
Module Code: CIVL70 17
School: Building and Civil Engineering
Programme Title: B Eng in Civil Engineering
Programme Code: CCIVL_7_Y
External Examiner(s): Mr Brian Burke Mr Adrian Cunningham Internal Examiner(s): Mr John J Murphy
Instructions: Answer all three questions
Duration: 2 hours
Sitting: Winter 201 2
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) A steel beam is loaded and supported as shown in Fig. Q1(a). The cross-section of the beam is shown in Fig. Q1(b). (i) Draw the shear force and bending moment diagrams for the beam, noting all significant values. (3 marks) (ii) Determine the bending stress at point O on the cross-section (immediately to the right of the support at A ). (3 marks) (iii) Determine the flexural shear stress at O. (3 marks) (iv) Determine the principal stresses at O. (3 marks) (v) Determine the maximum shear stress at O. (2 marks) (vi) Determine the normal and shear stresses on plane XX at 35° to the vertical at O as shown in Fig. Q1(c). (3 marks) (vii) Determine the reading on a strain gauge attached to the beam at an angle of 60° to the horizontal at O as shown in Fig. Q1(d). (3 marks) E = 210 kN/mm^2 ν = 0. (b) Fig. Q1(e) shows the stresses acting at a point in a structure. Direct stresses of magnitudes σx = 18 0 N/mm^2 and σy = - 2 0 N/mm^2 and a shear stress τ are applied. If the yield stress in a simple tension test is 275 N/mm^2 , determine the magnitude of τ required to cause yield at the point if the yield criterion is: (i) Maximum principal stress; (ii) Maximum shear stress. (5 marks)
Q2. A uniform beam is loaded and supported as shown in Fig. Q2. (a) Write the equation for the bending moment using Macaulay’s notation and hence determine the vertical deflections at C and D. (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 = 15000 cm^4
