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Ivan
3 years ago
8

The pressure at a point on a sloping surface within a tank filled with liquid depends on the

Physics
1 answer:
Kaylis [27]3 years ago
7 0
The pressure at a point on a sloping surface with a tank filled with liquid depends on the slope of the  surface because the elevation is a factor here. The force that is a factor too is dependent on the angle of elevation. Force is equal to weight times sine angle. 
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A prismatic bar AB of length L and solid circular cross section (diameter d) is loaded by a distributed torque of constant inten
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Answer:

a) the maximum shear stress τ_{max} the bar is 16T_{max} /πd³

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Explanation:

Given the data in the question, as illustrated in the image below;

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(a) Determine the maximum shear stress tmax in the bar

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we know that;

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so

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now from the second image;

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T(x) = tx

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so

d\theta = tx.dx / G(πd⁴/32)

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so total angle of twist \theta will be;

\theta =  \int\limits^L_0  \, d\theta

\theta =  \int\limits^L_0  \, 32tx.dx / πGd⁴

\theta = 32t / πGd⁴  \int\limits^L_0  \, xdx

\theta = 32t / πGd⁴ [ L²/2]

\theta = 16tL² / πGd⁴  

Therefore,  the angle of twist between the ends of the bar is 16tL² / πGd⁴  

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