The scissor truss below supports a roof with the factored loads shown. All members are steel shapes with E - 29000 ksi. Complete the following prompts considering this truss. a. Show mathematically that the truss is statically indeterminate. b. If all members have equal areas of A = 8 in.², determine all member forces and report your results in a table. You should use the principle of virtual work with Member BE as your redundant member. c. Repeat part (b) but modify Member BE only such that its area is A = 2 in.2. Describe the effect of this modification on the member forces in the truss compared to those found in part (b) (both the total member forces in the indeterminate system and those in the statically determinate subsystem).
The scissor truss below supports a roof with the factored loads shown. All members are steel shapes with E - 29000 ksi. Complete the following prompts considering this truss. a. Show mathematically that the truss is statically indeterminate. b. If all members have equal areas of A = 8 in.², determine all member forces and report your results in a table. You should use the principle of virtual work with Member BE as your redundant member. c. Repeat part (b) but modify Member BE only such that its area is A = 2 in.2. Describe the effect of this modification on the member forces in the truss compared to those found in part (b) (both the total member forces in the indeterminate system and those in the statically determinate subsystem).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Objective: Practice analyzing indeterminate truss systems with bar redundancies.
The scissor truss below supports a roof with the factored loads shown. All members are steel shapes with
E - 29000 ksi. Complete the following prompts considering this truss.
a. Show mathematically that the truss is statically indeterminate.
b. If all members have equal areas of A = 8 in.2, determine all member forces and report your results in
a table. You should use the principle of virtual work with Member BE as your redundant member.
c. Repeat part (b) but modify Member BE only such that its area is A = 2 in.2. Describe the effect of
this modification on the member forces in the truss compared to those found in part (b) (both the
total member forces in the indeterminate system and those in the statically determinate subsystem).
12'
A
14¹.
30 k
B
'16'
60 k
C
16¹-
30 k
D
14'
E
Note: You do not need to show repeated calculations in part (c). Attach any Excel sheets used to facilitate
your calculations.
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Step 1: Introduce the problem statement
VIEWStep 2: Determine SI
VIEWStep 3: Analysis of determinate truss
VIEWStep 4: Member forces due to given loading
VIEWStep 5: Member forces due to given loading
VIEWStep 6: Member forces due to unit loading
VIEWStep 7: Determine member forces when area is same
VIEWStep 8: Determine member forces when area of BE is 2 square inch
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