An open-coiled helical spring of wire diameter 12 mm, mean coil radius 84 mm, helix angle 60° carries an axial load of 480 N. What is the twisting moment ?

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ESE Civil 2021 Official Paper
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  1. 10.22 Nm
  2. 20.16 Nm
  3. 14.24 Nm
  4. 24.11 Nm

Answer (Detailed Solution Below)

Option 2 : 20.16 Nm
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ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Explanation:

Given Data

Wire diameter(d) = 12 mm

Mean coil radius(R) = 84 mm

Angle of helix () = 600

Axial Load (W) = 480 N

Now the twisting moment(T) due to the axial load acting on an open-coiled helical spring is given by

 

  N-mm

 T= 20.16 N-m

Additional Information The axial load acting on an open-coiled helical spring, bending moment(M) is given by

  

The Strain energy in open-coiled helical spring due to axial load given by

 Strain energy = Strain energy due to bending + Strain energy due to torsion

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