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Find the inner and Outer diameter of hollow Steel shaft subjected to Torque of magnitude 13,000lb and having premissible shear stress of 9000psi.the outer diameter istwice the innner diameter?
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Find the inner and Outer diameter of hollow Steel shaft subjected to T...

Given Data:
- Torque (T) = 13,000 lb
- Permissible shear stress (τ) = 9000 psi

Assumptions:
- Material of the shaft is steel
- The outer diameter is twice the inner diameter

Calculations:
Let the inner diameter be d inches. Therefore, the outer diameter will be 2d inches.

Torque transmitted through the shaft:
T = (π/16) * τ * (D^4 - d^4)

Where,
D = outer diameter
d = inner diameter

Given T = 13,000 lb and τ = 9000 psi, we can substitute these values in the equation.

13,000 = (π/16) * 9000 * ((2d)^4 - d^4)

Solving the equation will give us the inner diameter, and then the outer diameter can be calculated accordingly.

Conclusion:
The inner diameter and outer diameter of the hollow steel shaft subjected to a torque of 13,000 lb and having a permissible shear stress of 9000 psi can be calculated using the above method. This will ensure that the shaft is capable of withstanding the applied torque without failure, considering the given material properties and constraints.
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Find the inner and Outer diameter of hollow Steel shaft subjected to Torque of magnitude 13,000lb and having premissible shear stress of 9000psi.the outer diameter istwice the innner diameter?
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