A close coiled helical spring is lo carry a load of 500 N . Hs mean coil diameter is to be 10 is to times that of the wire diameter, Calculate the diameters if the maximum shear stress in the malerial of the spong are to be $80 \mathrm{~N} / \mathrm{mm}^{2}$. :2. A cylindrical shell 90 cm long and 20 cm internal diameler having thickbess of metal as 8 mm is rilled with nuid al almospheric pressure. If an additional $20 \mathrm{~cm}^{3}$ of tluid is pumped into the cylinder, find the (b) hoop stress induced. Assume poisson's ratio $\mu=0.3$ and $E=200 G \mathrm{~N} / \mathrm{m}^{2}$.
Explanation
The maximum shear stress in a close-coiled helical spring is given by the equation: τ = (8WD)/(πd^3). This equation can be rearranged to solve for the wire diameter d. The given values are W = 500 N, D = 10d, and τ = 80 N/mm^2. Substituting these values into the equation, we can solve for d.
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