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## Homework Statement

i am study for a physics test and i think my physics teacher gave me the wrong equation for shear stress

## Homework Equations

she gave me F=Δx/l *A

- Thread starter tristanmagnum
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- #1

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i am study for a physics test and i think my physics teacher gave me the wrong equation for shear stress

she gave me F=Δx/l *A

- #2

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- #3

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so then what would the equation be?

- #4

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- #5

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so stress can be used to find the shear modulus?

- #6

Chestermiller

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The equation you gave is for tensile stress, not shear stress, and, you left out Young's modulus on the right hand side of the equation.so then what would the equation be?

- #7

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what is this equatiomn Δl=(1/G)(F/A)l

- #8

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Even then, it is not, strictly speaking, the equationThe equation you gave is for tensile stress, not shear stress, and, you left out Young's modulus on the right hand side of the equation.

- #9

PhanthomJay

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That is the equation for shear deformation measured perpendicular to the length of a square element of the cross section.what is this equatiomn Δl=(1/G)(F/A)l

- #10

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so is that what im looking for ?

- #11

PhanthomJay

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That is the equation for shear deformation, not shear stress.so is that what im looking for ?

- #12

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so whats the shear stress equation because thats the only equation i can find in my book?

- #13

PhanthomJay

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- #14

Chestermiller

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I've never seen an equation like this with the shear modulus G in it, and I have lots of experience with deformational mechanics. This is the equation for a tensile deformation, provided the G is replaced by the Young's modulus E (or some people use Y). For a shear deformation between two parallel plates separated by a distance Δy, the equation to use is (F/A)=GΔx/Δy, where F is the tangential force on the upper plate (a plane of constant y), Δx is the displacement in the x direction of the upper plate relative to the lower plate, A is the area of the plates, and G is the shear modulus = [itex]\frac{E}{2(1+\nu)}[/itex], where [itex]\nu[/itex] is the Poisson ratio.what is this equatiomn Δl=(1/G)(F/A)l

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