30 kN/m D 8 m 30 kN 7 m 4 m 3 m FIGURE Q1(a) В 30kN/m C 4m 3m FIGURE Q1(b) As a structural engineer, you are assigned to perform an analysis for ALL member forces of a plane truss as shown in Figure Q1(a). All answers are in three decimal places. Q1 (a) (i) Identify the stability and determinacy of the plane truss. (ii) Determine the force in each member of the loaded truss by Method of Joints. (iii) Predict the vertical displacement at joint D by applying unit load method. (b) Figure Q1(b) shows the steel truss with a 3-meter span. The cross-sectional area for all members of the truss is 400 mm². Span BC carried a uniformly distributed load of 30 kN/m. Prove that the plane truss is internal statically indeterminate. Then, using the Method of Virtual Work, approximate the member forces AC. Assume that member AC is redundant in your analysis. Given Es = 200 GPa. All answers are in three decimal places.
30 kN/m D 8 m 30 kN 7 m 4 m 3 m FIGURE Q1(a) В 30kN/m C 4m 3m FIGURE Q1(b) As a structural engineer, you are assigned to perform an analysis for ALL member forces of a plane truss as shown in Figure Q1(a). All answers are in three decimal places. Q1 (a) (i) Identify the stability and determinacy of the plane truss. (ii) Determine the force in each member of the loaded truss by Method of Joints. (iii) Predict the vertical displacement at joint D by applying unit load method. (b) Figure Q1(b) shows the steel truss with a 3-meter span. The cross-sectional area for all members of the truss is 400 mm². Span BC carried a uniformly distributed load of 30 kN/m. Prove that the plane truss is internal statically indeterminate. Then, using the Method of Virtual Work, approximate the member forces AC. Assume that member AC is redundant in your analysis. Given Es = 200 GPa. All answers are in three decimal places.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:30 kN/m
D
8 m
30 kN
7 m
4 m
3 m
FIGURE Q1(a)
В
30kN/m
C
4m
3m
FIGURE Q1(b)
Transcribed Image Text:As a structural engineer, you are assigned to perform an analysis for ALL member
forces of a plane truss as shown in Figure Q1(a). All answers are in three decimal
places.
Q1
(a)
(i)
Identify the stability and determinacy of the plane truss.
(ii)
Determine the force in each member of the loaded truss by Method of Joints.
(iii)
Predict the vertical displacement at joint D by applying unit load method.
(b)
Figure Q1(b) shows the steel truss with a 3-meter span. The cross-sectional area for
all members of the truss is 400 mm². Span BC carried a uniformly distributed load of
30 kN/m. Prove that the plane truss is internal statically indeterminate. Then, using the
Method of Virtual Work, approximate the member forces AC. Assume that member
AC is redundant in your analysis. Given Es = 200 GPa. All answers are in three
decimal places.
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