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A closely coiled helical compression spring of mean coil diameter $D$ and wire diameter $d$, is loaded by an axial force $F$.

The maximum shear stress developed in the wire is

  1. $\dfrac{8 F D}{\pi d^{3}}+\dfrac{4 F}{\pi d^{2}}$
  2. $\dfrac{8 F D}{\pi d^{3}}+\dfrac{2 F}{\pi d^{2}}$
  3. $\dfrac{16 F D}{\pi d^{3}}+\dfrac{4 F}{\pi d^{2}}$
  4. $\dfrac{32 F D}{\pi d^{3}}+\dfrac{4 F}{\pi d^{2}}$

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