Question

The stress at a point, material properties, and change in temperature are as given below. Calculate $\epsilon_{xx}$, $\epsilon_{yy}$, $\gamma_{xy}$, $\epsilon_{zz}$, and $\sigma_{zz}$ (a) assuming plane stress, and (b) assuming plane strain.\ $\sigma_{xx} = -300$ MPa, $\sigma_{yy} = 300$ MPa, $\tau_{xy} = 150$ MPa Isotropic material: $G = 15$ GPa, $\nu = 0.2$, $\alpha = 26\mu/\degree C$, $\Delta T = 75\degree C$

          The stress at a point, material properties, and change in temperature are as given below. Calculate $\epsilon_{xx}$, $\epsilon_{yy}$, $\gamma_{xy}$, $\epsilon_{zz}$, and $\sigma_{zz}$ (a) assuming plane stress, and (b) assuming plane strain.\
$\sigma_{xx} = -300$ MPa, $\sigma_{yy} = 300$ MPa, $\tau_{xy} = 150$ MPa
Isotropic material: $G = 15$ GPa, $\nu = 0.2$, $\alpha = 26\mu/\degree C$, $\Delta T = 75\degree C$

The stress at a point, material properties, and change in temperature are as given below. Calculate ϵxx, ϵyy, γxy, ϵzz, and σzz (a) assuming plane stress, and (b) assuming plane strain.σxx = -300 MPa, σyy = 300 MPa, τxy = 150 MPa
Isotropic material: G = 15 GPa, ν = 0.2, α = 26μ/ C, Δ T = 75 C

Added by Christine H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/12/2023

Step 1

Given: \alpha = 26 (\mu)/(\deg)C, \Delta T = 75\deg C \epsi _T = 26 * 75 = 1950 (\mu) Show more…

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The stress at a point, material properties, and change in temperature are as given below. Calculate epsi _( imes ), epsi _(yy),gamma _(xy),epsi _(zz), and sigma _(zz) (a) assuming plane stress, and (b) assuming plane strain. sigma _( imes )=-300MPa,sigma _(yy)=300MPa, au _(xy)=150MPa Isotropic material: G=15GPa,v=0.2,alpha =26(mu )/(deg )C,Delta T=75deg C The stress at a point, material properties, and change in temperature are as given below. Calculate &xx, &yy, Yxy, &zz, and ozz (a) assuming plane stress, and (b) assuming plane strain. Ox=-300 MPa, Ow=300 MPa, Txv=150 MPa Isotropic material: G=15 GPa, v=0.2, a=26/C, T=75C