Civil Engineering CIVE3203 A Stru. Anal. PA Assignment 3 1
PA Assignment 3
Part 1 { Due 5:30PM, Monday, Nov. 7, 2011
For Monday, Nov. 7, submit Q1 and Q2 or Q3.
Question 1 [16 marks]
Use the principle of virtual work (virtual displacements) to determine each of the four external
reactions in the following frame. In each case, impose a virtual displacement so that only one of
the reactions does any work.
20kN
30kN
12kN/m
8m 4m
6m
Question 2 [8 marks]
Use the principle of virtual work (virtual displacements) to determine the internal shear force
and bending moment at point a in the following beam.
2m 6m 2m 2m 4m
16kN/m
48kN
a
b
Question 3 [12 marks]
Draw complete in
uence lines for the following quantities:
1. Vertical reaction at c.
2. Shear force at point b.
3. Bending moment at point c.
For a concentrated live load of 40 kN, and a distributed live load of 8 kN/m, compute the
extreme values for each of the above quantities. Clearly show the load pattern used for each.
3m 2m 2m 1m 1m 2m
a b c d e f g
Civil Engineering CIVE3203 A Stru. Anal. PA Assignment 3 2
Part 2 { Due 11:30AM, Monday, Nov. 14, 2011
For Monday, Nov. 14, submit all remaining questions.
Question 4 [20 marks]
Draw complete in
uence lines for the following quantities:
1. Moment at a.
2. Shear force just to the left of c.
3. Shear force just to the right of c.
4. Shear force at point d.
5. Moment at point f.
For a concentrated live load of 40 kN, and a distributed live load of 8 kN/m, compute the
extreme values for each of the above quantities. Clearly show the load pattern used for each.
3m 2m 2m 1m 1m 2m
a b c d e f g
Question 5 [10 marks]
Live loads are applied vertically to the simply supported stringers from point a to point f. Use
the Mueller-Breslau principle to sketch in
uence lines for:
1. Vertical reaction at g.
2. Horizontal reaction at g.
3. Bending moment in the frame at joint j.
4. Bending moment in the frame midway between b and c.
5. Bending moment in the frame at point c.
5@8m = 40m
a b c d e f
g
h
i
5m
j k
Question 6 [10 marks]
Draw in
uence lines for the axial force in members A, C and D. The live loads are applied
vertically to the bottom chord.
8@5m = 40m
5m
A
B
C
D

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