The stiffened cross-section of a long slender uniform structural member is idealized as shown in the
figure below. The lumped areas at A, B, C and D have equal cross-sectional area of 3 cmଶ. The
webs AB, BC, CD and DA are each 5 mm thick. The structural member is subjected to a twisting
moment of 10 kNm. The magnitudes of the shear flow in the webs, qAB, qBC, qCD, and qDA in kN/m
are, respectively
Options:
(A) 20, 20, 20, 20
(B) 0, 0, 50, 50
(C) 40, 40, 0, 0
(D) 50, 50, 50, 50
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2013 Q.18)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Structural Mechanics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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