Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. Two circular bars, one of

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Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. Two circular bars, one of

brass and the other of steel, are to be loaded by a shear load of 30 kN. Determine the necessary diameter of the bars (a) in single shear, (b) in double shear, if the shear stress in the two materials must not exceed 50 MN/m2 and 100 MN/mZ respectively.

Engineering

1 answer:

NeX [460] · Answer 1 · 2023-12-19T19:13:54+03:00

<h3>What is shear stress?</h3>

Shear stress or tangential stress is a type of stress generated by forces applied in opposite ways, but in similar directions in the analyzed material.

With that being said:

a) The necessary diameter of the bars in single shear is 27,6mm, this because:

$Tb = \frac{F}{A}\\ Tb = \frac{F}{\frac{\pi }{4} .d^2}\\ d^2 = \frac{4F}{\pi Tb} = \frac{4.30.10^3}{\pi .50.10^6}=0,0276m = 27,6mm$

b) The necessary diameter in double shear, if the shear stress in the two materials must not exceed 50 MN/m2 and 100 MN/mZ respectively is 13,8mm, this because:

$Ts=\frac{F}{2A}\\ d^2=\frac{4.30.10^3}{2\pi .100.10^6}=13,8mm$

See more about tension at: brainly.com/question/13259307

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