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The instructions and questions for the engineering mechanics examination held at the cork institute of technology during the winter 2009 semester. The examination is for students enrolled in the b.eng (hons) in structural engineering or mechanical engineering programs, and covers topics such as beam reactions, shear force and bending moment diagrams, plane pinjointed frameworks, and compressive stresses in concrete columns. Four questions with a total of 100 marks.
Typology: Exams
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Semester 1 Examinations 2009/
Module Code: MECH
School: Building and Civil Engineering
Programme Title: B.Eng (Hons) in Structural Engineering Year 1 B.Eng (Hons) in Mechanical Engineering Year 1
Programme Code: CSTRU_8_Y EMECH_8_Y EOMNI_8_Y
External Examiner(s): Mr. J. O’Mahony, Dr. M. Richardson Internal Examiner(s): Brian D. O’Rourke
Duration: 2 hours
Sitting: Winter 2009
Requirements for this examination: Students may use mathematics tables
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.
(a) Determine the reactions for the beam shown. (b) Draw the shear force and bending moment diagrams for the beam noting all significant values.
30 marks
Use the Method of Joints to determine the forces in the plane pin- jointed framework shown.
30 marks
reinforced with 8 No. 25mm diameter high tensile steel bars. The
column is subject to an applied load of 2200kN excluding self-weight. The self-weight may be taken as the weight of the gross volume of the column taken as plain concrete.
Determine (a) the maximum compressive stresses in the concrete and the steel and (b) the amount of shortening of the column under the total
load. Take Econcrete = 26 kN/mm^2 ; E (^) steel = 205 kN/mm^2
Take unit weight of concrete = 24kN/m^3
20 marks
seconds later another ball is thrown upwards with an initial velocity of of u m/s. The balls collide after a further 1.5 seconds. Shown that u = 17.93m/s. What is the total distance each ball travels before they collide? g = 9.81m/s^2
20 marks
Contd./-