THE UNIVERSITY OF WESTERN ONTARIO
THE UNIVERSITY OF WESTERN ONTARIO FACULTY OF ENGINEERING DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
ES022Y – ENGINEERING STATICS FINAL EXAMINATION April 26, 2005 (9:00 AM - 12:00 PM) INSTRUCTORS: M.H. El Naggar/ D. Inculet
Limited Open Book The only external aid allowed is an electronic calculator. Notes: 1. There are six questions. 2. Each question is worth 17 marks for a total of 102 Marks. 3. This exam is worth 30% of the final mark for the course. 4. Draw proper free body diagrams as required. 5. Show all steps and calculations clearly. 6. Specify all units with proper prefixes. 7. Give all final answers to 3 significant figures. 8. Answer all questions in the space provided. 9. Indicate if answers are continued on last page provided. 10. Marks will be deducted for poor diagrams and presentation.
Question 1 2 3 4 5 6
Total Mark Name (print): _______________________________ Signature: ______________________________
Mark / 17 / 17 / 17 / 17 / 17 / 17
/ 102 ID: __________________ Lecture Section: ______________
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________
ID: __________________
Question 1 For the Fink roof truss shown in Figure 1, determine the force in members BD, CD, CE and DE. State whether each member is in tension or compression.
Figure 1
2
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________
ID: __________________
Question 2 For the beam shown in Figure 2, draw the shear and bending moment diagrams in terms of P, and determine the maximum absolute value of the bending moment knowing that a) P = 14 kN b) P = 20 kN
Figure 2
4
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________
ID: __________________
Question 3 The wedge is used to level the member shown in Figure 3. Determine the horizontal force P that must be applied to move the wedge to the right. The coefficient of static friction between the wedge and the two surfaces of contact is µ s = 0.25. Neglect the size and weight of the wedge.
Figure 3
6
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________ Question 4 The three flat blocks are positioned on the 30o incline as shown, and a force P parallel to the incline is applied to the middle block. The upper block is prevented from moving by a wire which attaches it to the fixed support. The coefficient of static friction for each of the three pairs of surfaces is shown. Determine the maximum value P may have before any slipping takes place.
8
ID: __________________
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________ Question 5 The hinged gate ABC closes an opening of width b (perpendicular to the page) in a water channel. The water has free access to the underside as well as the right side of the gate. When the water level rises above a certain value of h, the gate will open. Neglecting the mass of the gate, determine the critical value of h for which the gate will open.
10
ID: __________________
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________ Question 6
The bracket shown is constructed from sheet metal of uniform thickness. Determine the coordinates of the centre of mass of the bracket.
12
ID: __________________
ES022Y – ENGINEERING STATICS FINAL EXAMINATION April 26, 2005 (9:00 AM - 12:00 PM) INSTRUCTORS: M.H. El Naggar/ D. Inculet
Limited Open Book The only external aid allowed is an electronic calculator. Notes: 1. There are six questions. 2. Each question is worth 17 marks for a total of 102 Marks. 3. This exam is worth 30% of the final mark for the course. 4. Draw proper free body diagrams as required. 5. Show all steps and calculations clearly. 6. Specify all units with proper prefixes. 7. Give all final answers to 3 significant figures. 8. Answer all questions in the space provided. 9. Indicate if answers are continued on last page provided. 10. Marks will be deducted for poor diagrams and presentation.
Question 1 2 3 4 5 6
Total Mark Name (print): _______________________________ Signature: ______________________________
Mark / 17 / 17 / 17 / 17 / 17 / 17
/ 102 ID: __________________ Lecture Section: ______________
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________
ID: __________________
Question 1 For the Fink roof truss shown in Figure 1, determine the force in members BD, CD, CE and DE. State whether each member is in tension or compression.
Figure 1
2
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________
ID: __________________
Question 2 For the beam shown in Figure 2, draw the shear and bending moment diagrams in terms of P, and determine the maximum absolute value of the bending moment knowing that a) P = 14 kN b) P = 20 kN
Figure 2
4
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________
ID: __________________
Question 3 The wedge is used to level the member shown in Figure 3. Determine the horizontal force P that must be applied to move the wedge to the right. The coefficient of static friction between the wedge and the two surfaces of contact is µ s = 0.25. Neglect the size and weight of the wedge.
Figure 3
6
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________ Question 4 The three flat blocks are positioned on the 30o incline as shown, and a force P parallel to the incline is applied to the middle block. The upper block is prevented from moving by a wire which attaches it to the fixed support. The coefficient of static friction for each of the three pairs of surfaces is shown. Determine the maximum value P may have before any slipping takes place.
8
ID: __________________
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________ Question 5 The hinged gate ABC closes an opening of width b (perpendicular to the page) in a water channel. The water has free access to the underside as well as the right side of the gate. When the water level rises above a certain value of h, the gate will open. Neglecting the mass of the gate, determine the critical value of h for which the gate will open.
10
ID: __________________
ES022Y – ENGINEERING STATICS – Final Exam April 26, 2005 (9:00 am -12:00 pm) Name (print): _______________________________ Question 6
The bracket shown is constructed from sheet metal of uniform thickness. Determine the coordinates of the centre of mass of the bracket.
12
ID: __________________
