A thin closed single-cell section consists of a semicircle of radius 50 mm and the triangular part shown, with axial width 500 mm and total height 100 mm. Wall thickness is 1 mm, shear modulus is 26 GPa and applied torque is 1 kN m. Find the wall shear stress in MPa (one decimal place).
The enclosed median-line area is $A=\tfrac12(0.5)(0.1)+\tfrac12\pi(0.05)^2=0.028927$ m². Bredt’s relation gives shear flow q=T/(2A), and τ=q/t. Therefore $\tau=1000/[2(0.028927)(0.001)]=17.29$ MPa, or 17.3. G would be needed for twist, not this stress.
More Flight vehicle structures: torsion, bending and shear of thin-walled sections, loads on aircraft questions
GATE 2024 AE Q33– An airplane experiences a net vertical ground reaction of 15000 N during landing. The…
GATE 2024 AE Q54– The cross section of a thin-walled beam with uniform wall thickness t, shown in the…
GATE 2025 AE Q60– Two designs A and B, shown in the figure, are proposed for a thin-walled closed section…
GATE 2026 AE Q17– A cantilever beam with an unsymmetric cross-section is subjected to a transverse shear…
GATE 2026 AE Q45– The deformation of an open-section bar subjected to pure torsion can be solved by choosing…
GATE 2026 AE Q58– A thin-walled circular tube is made of a material whose magnitude of the ultimate…