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Step2247 [10]
3 years ago
7

A gear box’s shaft is made of a hollow circular steel tube with allowable yield stress equal to σa????????o???? . The shaft is l

oaded by a combination of bending moment ???? and torque T. Assume that the tube’s inner diameter is half of the outer diameter. Determine the minimal outer diameter D of the steel tube according to von Mises (or called Maximum-DistortionEnergy) failure theory. Present a step-by-step derivation.

Engineering
1 answer:
Leni [432]3 years ago
3 0

Answer:

See explaination

Explanation:

The failure theory asserts that Material failure theory is the science of predicting the conditions under which solid materials fail under the action of external loads. The failure of a material is usually classified into brittle failure or ductile failure.

See attachment for the step by step solution.

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Solution :

$P_1 = 120 \ psia$

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$h_{2f} = 11.445 \ Btu/lbm$

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$u_{2g} = 94.3 \ Btu/lbm$

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Change in temperature, $\Delta T = T_2-T_1$

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Now we find the quality,

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$x_2=0.32198$

The final energy,

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   $=38.09297 \ Btu/lbm$

Change in internal energy  

$\Delta u= u_2-u_1$

   = 38.09297-40.5485

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