UNIVERSITY OF BOLTON SCHOOL OF ENGINEERING HNC CIVIL ENGINEERING SEMESTER 2 EXAM 2015/2016 MODULE NO: CIE4001
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1 UNIVERSITY OF OLTON TW8 SCHOOL OF ENGINEERING HNC CIVIL ENGINEERING SEMESTER 2 EXM 2015/2016 ENGINEERING MTHEMTICS & STRUCTURL NLYSIS MODULE NO: CIE4001 Date: Friday 20 May 2016 Time: pm INSTRUCTIONS TO CNDIDTES: There are THREE questions. nswer LL THREE questions. Each question carries equal marks Marks for parts of questions are shown in brackets. This exam carries a total of 75 marks. ll working must be shown. numerical solution to a question obtained by programming an electronic calculator will not be accepted.
2 Page 2 of 5 Question 1: eam nalysis Figure Q1 below shows a 4 m long, cantilever beam, carrying both point loads and a partial length uniform distributed load. For the beam: a. Determine the value and direction of the support reactions at. (5 marks) b. Draw the Shear Force diagram. Show the values of shear force at,, C, and D along the beam. (6 marks) c. Draw the ending Moment diagram, indicating the values of bending moment at,, C, and D along the beam. (10 marks) d. If the only loading on the cantilever was a vertical point load at D, what would be the value and direction of this single load, to give the same maximum bending moment at, as your calculations in part c revealed? (4 marks) 31 kn 19 kn 13 kn/m C 1 m 2 m 1 m 4 m D FIGURE Q1
3 Page 3 of 5 Question 2 Truss nalysis (25 marks) Figure Q2 shows a pin jointed truss, with a pin support at and a roller support at E. The truss is subjected to a vertical load of 33 kn at joint and a horizontal load of 40 kn at joint D. a. Use the formula (m + r 2j = 0) to show that the truss is statically determinate (2 marks) b. Demonstrate how the following support reactions are calculated i. H = 40kN ii. V = 22kN iii. V E = 11kN (6 marks) c. Using the method of joints, determine the value and type of force in each element of the truss (14 marks) d. Summarise your answer on a diagram of the truss layout (3 marks) 33 kn C D 40 kn G F E 4.8 m Figure Q2
4 Page 4 of 5 Question 3 (25 marks) 75mm 40mm 12mm 160mm 20mm 180mm Figure Q3 (i) Figure Q3 (i) shows a cross-section of an asymmetrical steel beam. a) Determine the position of the horizontal neutral axis of the beam. (5 marks) b) What is the value of the second moment of area I about the horizontal neutral axis of the beam section? (8 marks)
5 Page 5 of 5 75mm 25mm 18mm 175mm 5 2.5m Figure Q3 (ii) Section through cantilever tee beam Figure Q3 (iii) Elevation on cantilever tee beam Figure Q3 (ii) shows a cross-section of an asymmetrical cast iron tee beam with a cantilever span of 2.5m. The allowable bending stresses in the tee beam are shown the table below: Maximum stress N/mm 2 Tension 18.5 Compression 98.8 The geometrical properties of the tee beam are shown in the table below: Distance of the horizontal neutral axis of the tee beam above 124.8mm the bottom of the section Second moment of area (I) 1989 cm 4 c) What is the maximum force that can be applied vertically downward to the cantilever tee beam without exceeding the allowable bending stress in the tee beam (ignore force )? (8 marks) d) What is the maximum force that can be applied vertically upward to the cantilever tee beam without exceeding the allowable bending stress in the tee beam (ignore force )? (4 marks) END OF TEST
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