Question

Example 6.1 A thin annular disc has an inner radius of 50mm and an outer radius of 150mm and rotating uniformly at 5000 RPM. Determine the hoop $\sigma_\theta$ and radial $\sigma_r$ stresses at the inner and outer radii? Show the variation of these stresses with $r$ and the radius for which $\sigma_r$ is maximum. Assume that the disc is made of steel for which $\rho = 7480 \text{ kg/m}^3$ and $\nu = 0.3$.

          Example 6.1
A thin annular disc has an inner radius of 50mm and an outer radius of
150mm and rotating uniformly at 5000 RPM. Determine the hoop $\sigma_\theta$ and
radial $\sigma_r$ stresses at the inner and outer radii? Show the variation of these
stresses with $r$ and the radius for which $\sigma_r$ is maximum. Assume that the
disc is made of steel for which $\rho = 7480 \text{ kg/m}^3$ and $\nu = 0.3$.

Example 6.1
A thin annular disc has an inner radius of 50mm and an outer radius of
150mm and rotating uniformly at 5000 RPM. Determine the hoop σθ and
radial stresses at the inner and outer radii? Show the variation of these
stresses with r and the radius for which is maximum. Assume that the
disc is made of steel for which ρ = 7480 kg/m^3 and ν = 0.3.

Added by Sharon C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

07/13/2023

Step 1

We can use the formula ω = (2π * RPM) / 60. Show more…

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Example 6.1 A thin annular disc has an inner radius of 50mm and an outer radius of 150mm and rotating uniformly at 5000 RPM. Determine the hoop sigma _( heta ) and radial sigma _(r) stresses at the inner and outer radii? Show the variation of these stresses with r and the radius for which sigma _(r) is maximum. Assume that the disc is made of steel for which ho =7480k(g)/(m^(3)) and v Example 6.1 A thin annular disc has an inner radius of 50mm and an outer radius of 150mm and rotating uniformly at 5000 RPM. Determine the hoop 0 and radial o, stresses at the inner and outer radii? Show the variation of these stresses with r and the radius for which o is maximum. Assume that the disc is made of steel for which = 7480 kg/m3 and v= 0.3.