Civil Engineering - Strength of Materials - Discussion

Discussion Forum : Strength of Materials - Section 1 (Q.No. 28)
28.
For a given material Young's modulus is 200 GN/m2 and modulus of rigidity is 80 GN/m2. The value of Poisson's ratio is
0.15
0.20
0.25
0.30
0.40
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
24 comments Page 3 of 3.

Kk bhal said:   6 years ago
The answer is supposed to be 0.4.

C = (mE)/2(m+1).

Relationship between Young's modulus of elasticity and Rigid modules.

Ref: RS Khurmi.

Maxwell said:   6 years ago
Please anyone solve this, If the modulus of rigidity is given as 42MN/mm square and the modulus of elasticity is 200 KN/mm square, what will be an acceptable value for bulk modulus if the material has a cuboid configuration?
(2)

Kowsalya said:   4 years ago
E = 200*10^9N/m^2.
G = 80*10^9N/m^2.
U=?
E=2G(1+U).

(200 * 10^9)/(2 * 80 * 10^9) = (1+U),
100/80 = 1+U,
(10/8)-1 = U,
(5/4)-1 = U,
(5-4)/4 = U.
1/4 = U==>U = 0.25.
(5)

Inayat Ullah Kakar said:   9 months ago
Formula:

C = mE/2(m+1)
By rearrannging;
1/m= (E/2C)-1.
1/m=(200/2×80)-1.
1/m= 0.25.
So, The value of Poisson's ratio is value is equal to1/m = 0.25.
So, the given answer is correct because we use the passion ratio value by 1/m.
(4)


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