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**Q.1 A closed thin-walled tube has thickness, t, mean enclosed area within the boundary of the centerline of tube's thickness, A _{m} and shear stress, τ. Torsional moment of resistance T, of the section would be [2019 : 1 Mark, Set-ll](a) 2τA_{m}t(b) 4τA_{m}t(c) τA_{m}t(d) 0.5τA_{m}tAns.** (A)

Shear stress,

∴

(a) 0.0 MPa

(b) 0.51 MPa

(c) 0.815 MPa

(d) 2.0 MPa

Ans.

The only non-zero stresses are if θ is 90

Hence

= 16T/πd

But in rest of the planes shear stresses are zero, hence,

⇒ T = 23 kNm

Ans.

Angle of twist is given by,

⇒

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