Structural Analysis Questions and Answers – Analysis of Externally Redundant Trusses

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This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Analysis of Externally Redundant Trusses”.

1. Externally redundant truss can be solved by three equilibrium equations.
a) True
b) False
View Answer

Answer: b
Explanation: Redundant truss is solved by using equilibrium equations along with the displacement equilibrium.
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2. Calculate the P value of the member AC for the given external redundant truss, considering the horizontal reaction of support B as a redundant force.

a) 1kN
b) 3kN
c) 5.77kN
d) 2.89kN
View Answer

Answer: c
Explanation:

Va=Vb (Due to symmetry)
Va=Vb=5kN
At joint A,

∑V=Fac sin⁡ θ=5kN
Fac=\(\frac{5}{sin60}\)=5.77kN.

3. Calculate the P value of the member AC for the given external redundant truss, considering the horizontal reaction of support B as a redundant force.

a) 1kN
b) 3kN
c) 5.77kN
d) 2.89kN
View Answer

Answer: d
Explanation:

Va=Vb (Due to symmetry)
Va=Vb=5kN
At joint A,

∑V=Fac sin⁡θ=5kN
Fac=\(\frac{5}{sin60}\)=5.77kN
Fac cos⁡θ=Fab=5.77*cos⁡60=2.89kN.
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4. Calculate the P value of the member BC for the given external redundant truss, considering the horizontal reaction of support B as a redundant force.

a) 1kN
b) 3kN
c) 5.77kN
d) 2.89kN
View Answer

Answer: c
Explanation:

Va=Vb (Due to symmetry)
Va=Vb=5kN
At joint B,

∑V=Fbc sin⁡θ=5kN
Fbc=\(\frac{5}{sin60}\)=5.77kN.

5. Calculate the k value of the member BC for the given external redundant truss, considering the horizontal reaction of support B as a redundant force.

a) 0kN
b) 1kN
c) 2.89kN
d) 3kN
View Answer

Answer: a
Explanation: If the support reaction at support is considered 1kN rightward, the horizontal force at the joint will be balanced by horizontal force in member AB. Thus, member BC becomes a zero-force member.

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6. Calculate the k value of the member AC for the given external redundant truss, considering the horizontal reaction of support B as a redundant force.

a) 0kN
b) 1kN
c) 2.89kN
d) 3kN
View Answer

Answer: a
Explanation: If the support reaction at support A is considered 1kN leftward, the horizontal force at the joint will be balanced by horizontal force in member AB. Thus, member AC becomes a zero-force member.

7. Calculate the k value of the member AB for the given external redundant truss, considering the horizontal reaction of support B as a redundant force.

a) 0kN
b) 1kN
c) 2.89kN
d) 3kN
View Answer

Answer: a
Explanation: If the support reaction at support is considered 1kN leftward, the horizontal force at the joint will be balanced by horizontal force in member AB. Thus, member AC becomes a zero-force member.

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8. Calculate the redundant horizontal forces at support B, for the given truss considering the horizontal reaction of support B as a redundant force.

a) 1kN
b) 5kN
c) 3kN
d) 2.89kN
View Answer

Answer: d
Explanation:

Member P values k values Length of Member \(\frac{P k L}{AE}\) \(\frac{∑k^2 L}{AE}\)
AB 2.89 1 3 8.67 3
BC -5.77 0 3 0 0
AC -5.77 0 3 0 0

Redundant horizontal force at support B=\(\frac{- ∑\frac{P k L}{AE}}{\frac{∑k^2 L}{AE}}\) = -2.89kN

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9. Calculate the force in the member AB for the given truss.

a) 0kN
b) 2.89kN
c) 5.78kN
d) 10kN
View Answer

Answer: a
Explanation:

Member P values k values Length of Member \(\frac{P k L}{AE}\) \(\frac{∑k^2 L}{AE}\)
AB 2.89 1 3 8.67 3
BC -5.77 0 3 0 0
AC -5.77 0 3 0 0

Redundant horizontal force at support B=\(\frac{- ∑\frac{P k L}{AE}}{\frac{∑k^2 L}{AE}}\) = 2.89kN(leftward)
Considering, joint B

∑H=0
2.89-2.89+Fab=0
Fab=0 kN.

10. Externally redundant trusses are always internally determinate.
a) True
b) False
View Answer

Answer: b
Explanation: There is no dependency among the external and internal indeterminacy of a truss. If a truss is externally indeterminate, it can be either internally determinate or indeterminate.

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter