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Torsion of Thin-Walled Tubes

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Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 1: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 1: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 1: – Diagram

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Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 1: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 1: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 1: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 1: – Diagram

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Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 2: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 2: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 2: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 2: – Diagram

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Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 3: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 3: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 3: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 3: – Diagram

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Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 4: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 4: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 4: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 4: – Diagram

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Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 6: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 6: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 6: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 6: – Diagram

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Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 7: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 7: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 7: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 7: – Diagram

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Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 8: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 8: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 8: – Diagram Torsion of Thin-walled Sections | Mechanics of Deformable Bodies – Problem 8: – Diagram
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Question Bank: q558

PSAD - Mechanics of Deformable Bodies / Torsion of Thin-walled Shafts / Engr. Deguma

A thin-walled tube having a semi circular shape has a mean diameter of 50mm and a wall thickness of 2mm. If the stress concentration at the corners is neglected, what torque will cause a shearing stress of 40 MPa in N-m?

Answer:

  1. 157
  2. 137
  3. 153
  4. 175
For a thin-walled closed section, $T=2A_mt\tau$. The median-line area of a semicircle with mean radius $r=25$ mm is:
$$A_m=\frac{\pi r^2}{2}=981.75\text{ mm}^2$$
$$T=2(981.75)(2)(40)=157080\text{ N}\cdot\text{mm}=157\text{ N}\cdot\text{m}$$

Therefore, the required torque is 157 N·m.