# solid mechanics

posted by .

A round bar 40 mm dia meter is subjected to an axial pull of 80 kn and reduction in diameter was found to be 0.00775mm.find poisson's ratio and young's modules for the material of the bar. take value of shear modules as 40kn/mm square.

• solid mechanics -

Assuming an isotropic and elastic material,

εy=-0.00775/40
σx=80 kN
G=40 N/mm^2 (40 kN was probably a typo)

Use
εy=(σy-ν(σx+σz))/E ....(1)
and
G=E/[2(1+ν)] ...(2)

Solve for ν by substituting
E=2G(1+ν) from (2)
into (1)

εy=(σy-ν(σx+σz))/[2G(1+ν)]

and solve for ν.
Substitute ν into (2) to find E.

I get ν=0.24, E=99.2 MPa

• solid mechanics -

## Similar Questions

1. ### physics

Consider two straight bars of uniform cross section made of the same material. Bar 1 has an axial length of and a square cross section with side length . Bar 2 has an axial length of and a round cross section with diameter. When subjected …
2. ### psuchics

Reaction at support and internal axial force resultant Consider two straight bars of uniform cross section made of the same material. Bar 1 has an axial length 1m of and a square cross section 1mm with side length . Bar 2 has an axial …
3. ### Physic

Reaction at support and internal axial force resultant Consider two straight bars of uniform cross section made of the same material. Bar 1 has an axial length 1m of and a square cross section 1mm with side length . Bar 2 has an axial …
4. ### solid mechanics

A piece of material subjected to three mutually perpendicular stresses of 70, 56 and 84 Mpa. If E = 200GPa, Poisson's ratio = 0.28, determine (10) (a) Principal strains (b) Shear modules (c) Bulk modules.
5. ### math

A round bar 40mm diameter is subjected to an axial pull of 80kN and reduction in diameter was found to be 0.00775mm. Find Poisson's ratio and Young's modules for the material of the bar. Take value of shear modules as 40kN/mm0…5.
6. ### solid mechanics

A round bar 40 mm diameter was found to be 0.000775 mm. Find the Poisson's ratio and Young's Modulus for the material of the bar. Take value of shear modulus as 40 kN/mm square.
7. ### Solid Mechanics

A round bar 40 mm dia meter is subjected to an axial pull of 80 kn and reduction in diameter was found to be 0.00775mm.find poisson's ratio and young's modules for the material of the bar. take value of shear modules as 40kn/mm square. …
8. ### solid mechanics

Under what axial tensile load, the diameter of a steel bar will be reduced from 8 cm to 7.995 cm?
9. ### solid mechanics

Under what axial tensile load, the diameter of a steel bar will be reduced from 8 cm to 7.995 cm?
10. ### soild mechanics

Under what axial tensile load, the diameter of a steel bar will be reduced from 8 cm to 7.995 cm?

More Similar Questions