Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE

GATE: Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE

The document Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE is a part of the GATE Course Solid Mechanics.
All you need of GATE at this link: GATE

Q.1 A closed thin-walled tube has thickness, t, mean enclosed area within the boundary of the centerline of tube's thickness, Am and shear stress, τ. Torsional moment of resistance T, of the section would be    [2019 : 1 Mark, Set-ll]
(a) 2τAmt
(b) 4τAmt
(c) τAmt
(d) 0.5τAmt
Ans.
(A)
Solution:
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Shear stress, Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE

Q.2 A solid circular beam with radius of 0.25 m and length of 2 m is subjected to a twisting moment of 20 kNm about the z-axis at the free end, which is the only load acting as shown in the figure. The stress component τry at Point ‘ M ’ in the cross- section of the beam at a distance of 1 m from the fixed end is    [2018 : 1 Mark, Set-I]
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
(a) 0.0 MPa
(b) 0.51 MPa
(c) 0.815 MPa
(d) 2.0 MPa
Ans.
(A)
Solution:
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
The only non-zero stresses are Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE if θ is 900 then θ = y
Hence Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
= 16T/πd3 = 0.815 MPa
But in rest of the planes shear stresses are zero, hence, Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE

Q.3 A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is _____.    [2017 : 2 Marks, Set-II]
Solution:

Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
⇒ T = 23 kNm

Q.4 A solid circular shaft of diameter d and length L is fixed at one end and free at the other end. A torque T is applied at the free end. The shear modulus of the material is G. The angle of twist at the free end is    [2010 : 1 Mark]
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Ans.
(b)
Solution:
Angle of twist is given by,
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE
Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE 

The document Past Year Questions: Torsion of Shafts & Pressure Vessels Notes | Study Solid Mechanics - GATE is a part of the GATE Course Solid Mechanics.
All you need of GATE at this link: GATE
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