The poisson's ratio can not have the value
Value of possion's ratio die in range of 1 to 1/2.
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The poisson's ratio can not have the value
Value of possion's ratio die in range of 1 to 1/2.
The value of poisson's ratio lies between........
$ y = 3k (1-2 \sigma); y = 2n (1 + \sigma) $ $ For Y=0 we get 1 -2 \sigma = 0 also 1 + \sigma = 0 $ $ \Rightarrow \sigma lies between $
If the young's modulus of the material is 3 times its modulus of rigidity. Then what will be its volume elasticity ?
$ y = 2n ( 1 + \sigma) \rightarrow 3n = 2n ( 1 + \sigma) \Rightarrow \sigma = {3 \over 2 } -1 = {1 \over 2 } $ Now, substituting the value of $ \sigma $ in the following expression $ \Rightarrow k = { y \over 3 ( 1 - 2 \sigma) }= \infty $
For a given material the Young's modulus is 2.4 times that of rigidity modulus. What is its poisson's ratio ?
$ Y = 2n ( 1 + \sigma ) $
The lower surface of a cube is fixed. On its upper surface is applied at an angle of $ 30 ^\circ $ from its surface. What will be the change of the type ?
There will be both shear stress and normal stress.
The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of $ 30 ^\circ $ . Then what is the angle of shear ?
Angle of shear $ \phi = { r \theta \over L } = { 4 \times 10^{-1} \over 100 \times 30' } = 0.12 ' $
A 2mlong rod of radius 1 cm which is fixed from one end is gien a twist of 0.8 radians. What will be the shear strain developed ?
$ r \theta = L \phi 10^{-2} \times 0.8 = 2 \times \phi = 0.004$
Shearing stress causes change in
$ Y = 3K (1 -2 \sigma ) and Y = 2n ( 1 + \sigma) $ $ Eliminating \sigma we got Y = { 9nk \over n+3k } $
What is the relationship between Young's modulus Y, Bulk modulus k and modulus of rigidity $ \eta $ ?
Poisson's ratio varies between - 1 and 0.5
Assertion and Reason : Read the assertion and reason carefully to mark the correct option out of the option given below Assertion : The bridges are declared unsafe after a long use. Reason : Elastic strength of bridges decrease with
Ivory is more elastic than wet-clay. Hence, the ball of ivory will rise to a greater height. In fact the ball of wet day will not rise at all it will be same, what flattended permanently.
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