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CVEN1300 Engineering Mechanics Hand-in Tutorial Total number of Questions: 10 Submission Date:

This tutorial is to be submitted to the assignment box labelled “GAO” on 6th Floor in CE Building (next to the computer lab) by 5.00pm on Friday 16 September 2011, Week 8. Late submissions will not be accepted.

Plagiarism: Beware. Plagiarism will not be tolerated! Identical submissions (and these are so easy to track!!) will be marked zero regardless of who copied from whom.

Group work: I encourage you to work with your peers, although this is to be submitted as an individual work. A good way to learn the material is in small study groups. Such groups work best if members have attempted the problems individually before meeting as a group. A valued and honest collaboration occurs when, for example, you “get stuck” early on in attacking an exercise and go to your classmate with a relevant question. Your classmate then has the opportunity to learn from your question as well as help you. You then bring something to the collaboration. If someone offers you to copy their work, please keep on mind, they are taking away from you an opportunity to develop important engineering skills (and both of you will score zero!!).

Presentation: All your workings must show detailed calculations. Presentation and neatness will also contribute towards your tutorial mark.

1 of 6

Question 1: (2009 Quiz) For the simply supported beam shown in Figure 1, 1) Calculate the reactions at B and E. 2) Draw the shear force and bending moment diagrams, clearly indicating the magnitude and sign of all actions at A, B, C, D and E. 50 kN

25 kN/m

20 kN/m

A

B 4m

D

C 5m

5m

E 2m

Figure 1

Question 2: (2009 Exam) The simply supported beam shown in Figure 2 carries a uniformly distributed load and two concentrated loads as shown. 1) Calculate the reactions at A and C and draw the shear force and bending moment diagrams, clearly indicating the magnitude and sign of all actions at A, B, C and D. 2) Determine the position and magnitude of the maximum positive moment. 100 kN

20 kN/m

4m

D

C

B

A

30 kN

12 m

3m

Figure 2

2 of 6

Question 3: (2010 Quiz) For the simply supported beam shown in Figure 3, 1) Calculate the reactions at A and D. 2) Draw the shear force and bending moment diagrams, clearly indicating the magnitude and sign of all actions at A, B, C and D. 2 kN/m 10 kN

C

B

A

2m

3m

5m

D

Figure 3

Question 4: (2010 Exam) The beam shown in Figure 4 carries a uniformly distributed load of 20 kN/m, plus two 150 kN concentrated loads as shown. 1) Calculate the reactions at B and E and neatly draw the shear force and bending moment diagrams, clearly indicating the magnitude and sign of all actions at A, B, C, D and E. 2) Calculate the position and magnitude of the maximum positive moment in the span BE. 20 kN/m

C

B

A 4m

150 kN

150 kN

6m

E

D 5m

3m

Figure 4

3 of 6

Question 5: (2009 Quiz) For the truss structure shown in Figure 5, 1) Find the reactions at A and E. 2) Determine the force in each member of the truss, and indicate whether the members are in tension or compression. Note: assume each member is pin-connected. 40 kN C 60 kN 4m 60 kN B

D

4m E

A

6m Figure 5

Question 6: (2010 Quiz) The Howe bridge truss is subjected to the loading shown in Figure 6, 1) Find the reactions at A and E. 2) Determine the force in members HD, CD and GD, and state if the members are in tension or compression. 30 kN

40 kN 20 kN

20 kN

I

J

H

G

F

4m A

E B

C

D

4 @ 4 m = 16m Figure 6 4 of 6

Question 7: (2009 Exam) Determine the force in members CD, CJ, DJ, IJ, FG, FL and LG of the truss which serves to support the deck of a bridge. State if these members are in tension or compression.

80 kN

80 kN 40 kN A

C

B

D

E

F

G

60 kN

3.0m

H

I

J

K

L

6 @ 4.0m = 24.0m Figure 7

Question 8: (2010 Exam) For the pin-joined truss shown in Figure 8, 1) Find the reactions at A and J; 2) Determine the axial force in each of the 7 members connected at E, and state if these members are in tension or compression. 40 kN

40 kN C

40 kN

I

G

D

40 kN

5m 30 kN B

J

H

E

5m

60 kN A

F 20 kN 5m

5m

5m

Figure 8

5 of 6

Question 9: (2009 Exam) For the frame shown in Figure 9, 1) Find the reactions at A and E. 2) Draw the axial force, shear force and bending moment diagrams for the frame, showing the magnitude of all peak values. Note: support A is fixed and there is a hinge at connection D. 60 kN 30 kN/m 20 kN/m B

C

E

D

F

6m

A

2m

7m

4m

5m

Figure 9 Question 10: (2010 Exam) For the frame shown in Figure 10, 1) Find the reactions at A and F. 2) Draw the axial force, shear force and bending moment diagrams for the frame, showing the magnitude of all peak values. Note: support A is a roller, support F is fixed, and there is an internal hinge at D. 20 kN/m B

C

E

D

6m

6m 120 kN F

A

5m

7m

4m

Figure 10 6 of 6

View more...
This tutorial is to be submitted to the assignment box labelled “GAO” on 6th Floor in CE Building (next to the computer lab) by 5.00pm on Friday 16 September 2011, Week 8. Late submissions will not be accepted.

Plagiarism: Beware. Plagiarism will not be tolerated! Identical submissions (and these are so easy to track!!) will be marked zero regardless of who copied from whom.

Group work: I encourage you to work with your peers, although this is to be submitted as an individual work. A good way to learn the material is in small study groups. Such groups work best if members have attempted the problems individually before meeting as a group. A valued and honest collaboration occurs when, for example, you “get stuck” early on in attacking an exercise and go to your classmate with a relevant question. Your classmate then has the opportunity to learn from your question as well as help you. You then bring something to the collaboration. If someone offers you to copy their work, please keep on mind, they are taking away from you an opportunity to develop important engineering skills (and both of you will score zero!!).

Presentation: All your workings must show detailed calculations. Presentation and neatness will also contribute towards your tutorial mark.

1 of 6

Question 1: (2009 Quiz) For the simply supported beam shown in Figure 1, 1) Calculate the reactions at B and E. 2) Draw the shear force and bending moment diagrams, clearly indicating the magnitude and sign of all actions at A, B, C, D and E. 50 kN

25 kN/m

20 kN/m

A

B 4m

D

C 5m

5m

E 2m

Figure 1

Question 2: (2009 Exam) The simply supported beam shown in Figure 2 carries a uniformly distributed load and two concentrated loads as shown. 1) Calculate the reactions at A and C and draw the shear force and bending moment diagrams, clearly indicating the magnitude and sign of all actions at A, B, C and D. 2) Determine the position and magnitude of the maximum positive moment. 100 kN

20 kN/m

4m

D

C

B

A

30 kN

12 m

3m

Figure 2

2 of 6

Question 3: (2010 Quiz) For the simply supported beam shown in Figure 3, 1) Calculate the reactions at A and D. 2) Draw the shear force and bending moment diagrams, clearly indicating the magnitude and sign of all actions at A, B, C and D. 2 kN/m 10 kN

C

B

A

2m

3m

5m

D

Figure 3

Question 4: (2010 Exam) The beam shown in Figure 4 carries a uniformly distributed load of 20 kN/m, plus two 150 kN concentrated loads as shown. 1) Calculate the reactions at B and E and neatly draw the shear force and bending moment diagrams, clearly indicating the magnitude and sign of all actions at A, B, C, D and E. 2) Calculate the position and magnitude of the maximum positive moment in the span BE. 20 kN/m

C

B

A 4m

150 kN

150 kN

6m

E

D 5m

3m

Figure 4

3 of 6

Question 5: (2009 Quiz) For the truss structure shown in Figure 5, 1) Find the reactions at A and E. 2) Determine the force in each member of the truss, and indicate whether the members are in tension or compression. Note: assume each member is pin-connected. 40 kN C 60 kN 4m 60 kN B

D

4m E

A

6m Figure 5

Question 6: (2010 Quiz) The Howe bridge truss is subjected to the loading shown in Figure 6, 1) Find the reactions at A and E. 2) Determine the force in members HD, CD and GD, and state if the members are in tension or compression. 30 kN

40 kN 20 kN

20 kN

I

J

H

G

F

4m A

E B

C

D

4 @ 4 m = 16m Figure 6 4 of 6

Question 7: (2009 Exam) Determine the force in members CD, CJ, DJ, IJ, FG, FL and LG of the truss which serves to support the deck of a bridge. State if these members are in tension or compression.

80 kN

80 kN 40 kN A

C

B

D

E

F

G

60 kN

3.0m

H

I

J

K

L

6 @ 4.0m = 24.0m Figure 7

Question 8: (2010 Exam) For the pin-joined truss shown in Figure 8, 1) Find the reactions at A and J; 2) Determine the axial force in each of the 7 members connected at E, and state if these members are in tension or compression. 40 kN

40 kN C

40 kN

I

G

D

40 kN

5m 30 kN B

J

H

E

5m

60 kN A

F 20 kN 5m

5m

5m

Figure 8

5 of 6

Question 9: (2009 Exam) For the frame shown in Figure 9, 1) Find the reactions at A and E. 2) Draw the axial force, shear force and bending moment diagrams for the frame, showing the magnitude of all peak values. Note: support A is fixed and there is a hinge at connection D. 60 kN 30 kN/m 20 kN/m B

C

E

D

F

6m

A

2m

7m

4m

5m

Figure 9 Question 10: (2010 Exam) For the frame shown in Figure 10, 1) Find the reactions at A and F. 2) Draw the axial force, shear force and bending moment diagrams for the frame, showing the magnitude of all peak values. Note: support A is a roller, support F is fixed, and there is an internal hinge at D. 20 kN/m B

C

E

D

6m

6m 120 kN F

A

5m

7m

4m

Figure 10 6 of 6

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