# Question

Consider a cylindrical test specimen under a confining pressure of 20.69 MPa and an axial stress of 20.69 MPa with compression positive, so that in cylindrical coordinates

σzz = 20.69 σrr = 20.69 σθθ = 20.69

τrz = 0.0 τzθ = 0.0 τθr = 0.0

Find:

1 εrr , εzz , εθθ , γrz , γzθ , γθr ;

2 the axial stress σzz required to maintain a zero axial strain;

3 the strain energy and strain energy density, if the test specimen is an NX core with a height to diameter ratio of two. Note: E = 16.55 GPa, ν = 0.20, and the sample is isotropic.

σzz = 20.69 σrr = 20.69 σθθ = 20.69

τrz = 0.0 τzθ = 0.0 τθr = 0.0

Find:

1 εrr , εzz , εθθ , γrz , γzθ , γθr ;

2 the axial stress σzz required to maintain a zero axial strain;

3 the strain energy and strain energy density, if the test specimen is an NX core with a height to diameter ratio of two. Note: E = 16.55 GPa, ν = 0.20, and the sample is isotropic.

## Answer to relevant Questions

Show that under complete lateral restraint and gravity loading only, that the vertical normal stress in a homogeneous, isotropic linearly elastic earth at a depth z measured from the surface with compression positive is ...Consider gravity loading only under complete lateral restraint in flat strata with properties given in Table 1.2. Vertical stress at the top of the geologic column given in Table 1.2 is 1,000 psi. Compression is positive, ...Suppose a static factor of safety is defined as the ratio of resisting to driving forces, that is, FS = R/D. Show that a factor of safety less than one implies acceleration is impendingLet f: R→R 2. Prove that f is differentiable at a € R if and only if f 1 and f 2 are, and in this case f 1(a) = ((f 1)1 (a) (f 2)1 (a)).Find the partial derivatives of the following functions: a. f(x,y,z)=xy b. f(x,y,z)=z c. f(x,y)=sin (xsin (y)) d. f(x,y,z)= sin (x sin (y sin(z))) e. f(x,y,z)=xy2 f. f(x,y,z)=xy=z g. f(x,y,z)=(x +y)2 h. f(x,y)= ...Post your question

0