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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Semester 2 Examinations 2011/
Module Title: Engineering Mechanics 2
Module Code: CIVL
School: Building and Civil Engineering
Programme Title: Bachelor of Engineering (Honours) in Structural Engineering – Year 1 Bachelor of Engineering (Honours) Common Entry – Year 1
Programme Code: CSTRU_8_Y EOMNI_8_Y
External Examiner(s): Dr Mark G. Richardson, Mr John O’Mahony Internal Examiner(s): Mr Brian D. O’Rourke
Instructions: All questions to be attempted.
Duration: 2 Hours
Sitting: Summer 2012
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.
Q1 Figure Q. 1
Determine the vertical deflection of the joint X in the pin jointed framework shown. Take the cross-sectional area for each member, A = 400mm^2 and Young’s modulus of elasticity, E = 200 kN/mm^2
25 marks
Q2 Figure Q. 2
For the universal beam section, determine: (a) The location of the neutral axis of bending (b) The second moment of area of the section about the neutral axis of bending.
The section is to be used as a simply supported beam spanning 8m while carrying a uniformly distributed load of 35 kN/m, including self- weight. Determine: (c) The maximum tensile and compressive bending stresses that develop in the beam (d) The maximum shear stress in the beam.
25 marks
Q3 Figure Q.
A rigid right-angle bracket OAB supports a 5 kN force and 8 kN force as shown in the figure. The bracket is fixed at point O. Determine the reactions (including moment) at point O.
25 marks
Q4 Figure Q.
The vertical gate shown in the figure is hinged at A and held shut by a horizontal force (FB) applied near its base at B. The gate closes the side of a fresh water tank that is 1.2m wide (perpendicular to the plane of the figure). Determine the force at B when the water is at a height of 1.6m.
Take density of fresh water as ρ= 1000 kg/m^3 and g = 9.81m/s^2
25 marks
Coordinates (x,y,z) m O (0,0,0) A (0,0,2) B (1.5,0,2)
1.6m
A
0.1m
2.0m
FIGURE Q. 4
B F
B
FIGURE Q. 3
0.75m 0.75m
5 kN
(parallel to y-z plane)
z
x
y
O
A
B
2.0m
8 kN
(parallel to x-z plane)
