Recent content by L.Richter

Thank you so much for your help! This is part 4 of one problem. I still have 2 more complete problems to do! I will keep you in mind for any further help, if that's ok.

Am I correct in thinking that I have to calculate the product of the mean of S(t) and S(t+T)? Also since the X(t) is stationary, can I assume that S(t) is also stationary and that the expectation would be S(t)2?

Homework Statement Stress described as: S(t) = a0 + a1X(t) + a2X2(t) where X(t) is a the random displacement, a Gaussian random process and is stationary. Determine the autocorrelation function of S(t) (hint: remember a nice formula for the evaluation of high order moments of Gaussian random...

I will try post #12 also. Thanks!

..."I solved for A, B and D. They all contain the force P that I am ultimately solving for though. So now I'm stuck!" A = -P/2M B = Pa^2b^2/2M D = P(a^2 + b^2)/M M = a^2 - b^2 + (a^2 + b^2) ln b/a Can I use delta = integral from a to b P(x)/A(x)E dx ?? where delta is the...

Thank you nvn! Basically I'm solving for P the force that it takes to open the ring delta/2. Or the stress that is produced when the ring is cut that causes the displacement. I propose a psi function based on the vector diagram. Mine was f(r)cos theta. From there I get my Airy stress...

Got the boundary conditions! And now I'm working on solving the constants from these equations: -B - 2Dx + 2Eh = 0 2A + 6Cx - 2Dh = 0 -B - 2Dx - 2Eh = -sx/I 2A + 6Cx + 2Dh = 0 Odd system of equations.

Homework Statement A cantilever beam (length, L, height, 2h, thickness 1). The top surface is subjected to shear stress tsubxy = s. Determine the stress function psi. The boundary conditions at the end of the free end (x=L) can be satisfied by integration (e.g., traction free can be...

This is the best that I could do! Hopefully you can see it...

The attachment exceeds the size limits of the forum. Any suggestions??

@nvn~ can you give me any suggestions on how to proceed?

I took an element at the top of the ring so that: N = P cos theta V = P sin theta psi(r,theta) = 9Ar^2 + B/r + Cr + Drlnr) cos theta sigma rr = (2Ar - 2B/r^3 + D/r) cos theta sigma theta theta = (6Ar + 2B/r^3 + D/r) cos theta sigma r theta = (2Ar - 2B/r^3 + D/r) sin theta applied...

Thank you for your help. I just keep thinking about the problem statement and it asking to apply SVP. All the examples for the principle involve a beam and taking a point load or distributed load and concentrating it to a "far/distant" point and applying the math. I'm picturing the ring as a...

If the forces are applied after the cut is made then how does Saint Venant's principle apply? As I understand it the forces that produce the displacement, delta, should equal the force in a distant section of the ring. Can I take a cross sectional area of the ring at a distant point and apply...

Homework Statement An originally complete ring made of linear elastic material (Young's modulus, E and Poisson's ratio, v) is cut by a saw. A gap, delta, is generated by a pair of forces, P. Determine this force, P. (Use Saint Venant's principle) Inner radius of ring, a. Outer radius, b...