GATE_AE_2027_MOCK_01_Q61 GATE 2027 Aerospace Engineering All-India Master Mock 01 (Foundation & Standard Core Calibration) NAT · 2 Marks
Aerospace Structures • Thin-Walled Structures • Torsion of Multi-Cell Thin-Walled Tubes

A two-cell thin-walled aircraft torque box has cell areas $A_1 = 0.3\text{ m}^2$ and $A_2 = 0.2\text{ m}^2$. Under an applied torque $T$, the shear flows are $q_1 = 12000\text{ N/m}$ in cell 1 and $q_2 = 8000\text{ N/m}$ in cell 2. According to Bredt's theory for multi-cell tubes, what is the total applied torque $T$ in kilonewton-meters ($\text{kN}\cdot\text{m}$)?

Answer Key:
10.4

Step-by-Step Verified Solution

### Solution: Total torque for multi-cell thin-walled sections is $T = 2 A_1 q_1 + 2 A_2 q_2 = 2(0.3)(12000) + 2(0.2)(8000) = 7200 + 3200 = 10400\text{ N}\cdot\text{m} = 10.4\text{ kN}\cdot\text{m}$. Correct: 10.4.
← Prev Question Next Question →
Solve in CBT Simulator