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 2 of 3.

Vikas Kumar said:   1 decade ago
Formula of poisson ratio = (E-2G)/2G.

Where E = Young's modulus.
G = Modulus of Rigidity.

Now U = (200-2*80)/2*80 = 0.25.

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.

Mayuri said:   1 decade ago
E = 2G (1-1/m).
200 = 2*80(1-1/m).
200 = 160-160/m.
40 = 160/m.
1/m = 40/160.
1/m = 0.25.

PIYUSH SINGH said:   1 decade ago
Young modulus = E.
Modulus of Rigidity = G.
Poisson's Ratio = U.

Formula => E = 2G (1-u).

Therefore:

A) 200 = 2*80 (1-u).
B) 1-u = 1.25.
C) u = 1.25-1.
D) u = 0.25.

Pradip behera said:   8 years ago
Here, E=2G(1+u)=3K(1-2u)=9KG/(3K+G).

Chakradhar padhan said:   8 years ago
Relation between e[young], k[bulk], c[mod of rig] and 1/m[poiss].e = 3k(1-2/m)=2c(1+1/m)
=9kc/3k+c,e = 200 and c=80.e = 2c(1+1/m).
So 200=2*80(1+1/m) so 1/m=40 /160 =. 25.

Abhay said:   10 years ago
Young's modulus E = 2G(1 + μ) where, G = Modulus of rigidity.

=> μ = E/2G - 1.

=> 200/(2*80) - 1.

= 1.25 - 1.

μ = 0.25.

Gondelamahesh said:   8 years ago
If the modulus of rigidity is 80 kn/mm square and bulk modulus 140 kn/mm square position ratio is what anyone explain it?

Bikash kabiraj said:   8 years ago
Relation between e[young], k[bulk], c[mod of rig] and 1/m[poiss].
e = 3k(1-2/m)=2c(1+1/m)=9kc/3k+c,
e = 200 and c=80.
e = 2c(1+1/m) so 200=2*80(1+1/m) so 1/m=40 /160 =. 25ans.

Anusha Reddy said:   8 years ago
Good explanation @Ammulu.


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