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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Semester 1 Examinations 2012/
Module Title: Structural Engineering
Module Code: CIVL
School: Building and Civil Engineering
Programme Title: M Eng in Structural Engineering
Programme Code: CSTRU_9_Y
External Examiner(s): Dr. Michael J Creed Mr Pearse Sutton Internal Examiner(s): Mr John J Murphy
Instructions: Answer all four questions All questions carry equal marks
Duration: 3 hours
Sitting: Winter 2012
Requirements for this examination: This is an open book 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. The uniform frame shown in Fig. Q1 has rigid joints at B and C and fixed foundation connections at A and D. Taking full account of shear and axial deformations in addition to bending deformations, write the stiffness matrix equations required to determine the horizontal and vertical deflections and rotations at B and C. If the displacements are: ΔBH = 0.007524 m; ΔBV = -0.000202 m; θB = 0.005399 rads ΔCH = 0.007167 m; ΔCV = -0.000124m; θC = -0.001459 rads, determine the magnitudes of the bending moments at B and D.
E = 210 kN/mm^2 I = 2.5 x 10-4^ m^4 Cross-sectional area (A) = 1.0 x 10-2^ m^2 ; Shear Area (Av) = 1.5 x 10-3^ m^2 (25 marks)
Q2. A 203 x 133 x 30 UB is connected to a 203 x 203 x 60 UC as shown in Fig. Q2. Determine the moment resistance of the connection. (It is not necessary to design shear, compression or tension stiffeners, but the checks should identify whether they are needed. The lower bolt group is used for shear resistance and can be ignored in the moment calculations.) Steel: S275 - fy = 275 N/mm^2 ; E = 210000 N/mm^2 Bolts: Grade 8.8 - fu = 800 N/mm^2 ; 16 mm diameter Welds: 8 mm fillet welds Shear Area (Av) of 203 x 203 x 60 UC: 2220 mm^2 End Plate: 170 mm x 300 mm x 15 mm
(25 marks)
Dimensions in mm tf tw b h r d 203 x 133 x 30 UB 9.6 6.4 133.9 206.8 7.6 172. 203 x 203 x 60 UC 14.2 9.4 205.8 209.6 10.2 160.
