For the Kelvin state as considered in Example 15.4, explicitly justify the displacement and stress results given
Question:
For the Kelvin state as considered in Example 15.4, explicitly justify the displacement and stress results given in relations (15.2.8) and (15.2.10).
Data from example 15.4
Equation 15.2.8
Equation 15.2.10
Transcribed Image Text:
Consider next the combined Kelvin problem with unit loads aa (a = 1, 2, 3) acting along each of three coordinate directions, as shown in Fig. 15.6. This singular state is denoted by S"(x) and is given by the potentials p = 0, y = -C- R 1 8 (1-v) The displacements and stresses corresponding to this case become +(3-4v) ai] = C Xaxi 2R R UR = TR$ = C(1-2v) of= C [3x a Xixj R R As a special case of this state, consider aa= [0, 0, 1], which would be state S*(x) with potentials - Jijxa) - -+ (1-2v)(daixj + dajxi dijxa, sino where C = 0==4=0, = (15.2.9) and in spherical coordinates (R0,0) (see Fig. 1.6) yields the following displacements and stresses 2C(1-v) cosp C(3 - 4v) sind R 2 R OR=-2C(2-v)- 9 coso R = up R TRO= Te = 0 de=0=C(12v)- (15.2.7) Ug = 0 coso R (15.2.8) (15.2.10)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
KelvinStatewith Unit Load 0 y C where C R 2 x y 41v y C2 401v C34v C 2R 34v 8 2v8 12v x 10 10 C R C ...View the full answer
Answered By
Keziah Thiga
I am a self motivated financial professional knowledgeable in; preparation of financial reports, reconciling and managing accounts, maintaining cash flows, budgets, among other financial reports. I possess strong analytical skills with high attention to detail and accuracy. I am able to act quickly and effectively when dealing with challenging situations. I have the ability to form positive relationships with colleagues and I believe that team work is great key to performance. I always deliver quality, detailed, original (0% plagirism), well-researched and critically analyzed papers.
4.90+
1504+ Reviews
2898+ Question Solved
Related Book For
Elasticity Theory Applications And Numerics
ISBN: 9780128159873
4th Edition
Authors: Martin H. Sadd Ph.D.
Question Posted:
Students also viewed these Engineering questions
-
List three specific parts of the Case Guide, Objectives and Strategy Section (See below) that you had the most difficulty understanding. Describe your current understanding of these parts. Provide...
-
In this problem, we consider the analysis of the combined information from both raters on the shoulder flexion (SF) scores in the posture measurement study. Thus, the questions below concern the data...
-
What is the spring cloud API Gateway and how do you set it up to make a call to the product service via eureka service discovery server? Give me the complete code in detailed steps.
-
Yang Company purchased 2,000 widgets and has 400 widgets in its ending inventory at a cost of $90 each and a current replacement cost of $80 each. The net realizable value of each unit in the ending...
-
A machine pulls a 40 kg trunk 2.0 m up a 40 o ramp at constant velocity, with the machine's force on the trunk directed parallel to the ramp. The coefficient of kinetic friction between the trunk and...
-
Implement the test in Problem 10.149, and provide a p-value (two-tailed)? A more efficient method of analysis would leave the change in retinopathy level in its raw form without grouping the data but...
-
RJR Nabisco also had $10 billion in bonds outstanding at the time of the dividend increase in Problem 10. How would you expect the bonds to react to the announcement? Why? Reference from in problem...
-
Santana, Inc. reports the following liabilities (in thousands) on its January 31, 2014, balance sheet and notes to the financial statements. Instructions (a) Identify which of the above liabilities...
-
please see the following attachment! and explain clearly! thanks! For a fully discrete whole life insurance of 1000 on (30), you are given: (i) V is the net premium reserve at the end of year k. (ii)...
-
Verify that the displacements and stresses for the center of compression are given by (15.2.21) and (15.2.22). Equation 15.2.21 Equation 15.2.22 u Xi 2R 1 (3xxj - dij R R
-
Using similar notation as Exercise 15.6, show that the strain energy associated with the edge dislocation model of Example 15.1 can be expressed by: Note that this energy is larger than the value...
-
Find, in the form x + iy, showing details, 1/(4 + 3i)
-
Anna Drew sells custom cabinets and doors. She receives a 15% commission on the doors she sells and a 7% commission for each cabinet. What would her total commission be if she sold $5,200-worth of...
-
Calculate each account balance. (Enter the balance, along with a "Bal" posting reference on the appropriate side of each T-account.) Supplies 132 Note payable 221 3/8 1,100 3/27 1,000 3/20 1,300 3/5...
-
A local pizza store knows the mean amount of time it takes them to deliver an order is 45 minutes after the order is placed. The manager has a new system for processing delivery orders, and they want...
-
coni nomin Record the following transactions in the General Fund general ledger accounts. (Analyze the effects of the transactions on all other funds and nonfund accounts.) 1. Martinsville ordered...
-
In this assessment, you will work in a group to critically analyse beliefs about children and early childhood practice and creatively reimagine how this might look in practice. This will be in the...
-
Determine the effects of a decrease in the population growth rate on the golden rule quantity of capital per worker and on the golden rule savings rate. Explain your results.
-
Suppose that the electrical potential at the point (x, y, z) is E(x, y, z) = x + y - 2z. What is the direction of the acceleration at the point (1,3,2)?
-
A shallow foundation measuring 1 m 2 m in plan is to be constructed over a normally consolidated sand layer. Given: D f = 1 m, N 60 increases with depth, N 60 (in the depth of stress influence) =...
-
A 2 m wide continuous foundation carrying a 260 kN/m wall load is placed at a depth of 1.0 m in sand where the unit weight is 19.0 kN/m 3 and (N 1 ) 60 is 32. Assuming Poissons ratio of 0.15,...
-
A 2 m 2 m foundation carrying a 1000 kN column load is placed at 1.0 m below the ground level in a sand where = 19 kN/m 3 and (N 1 ) 60 = 25. Estimate the settlement using the Berardi and...
-
M understates her age in an application for a life insurance policy. At M's death the company will MOST likely: OA. OB. pay all benefits and charge an additional premium for the difference between...
-
People's willingness to buy the PC or Mac format of computer software depends on how popular the software format is among other consumers. This is an example of a cartel. an opportunity cost. a...
-
MAE 241 - Spring 2023 - Homework 2 Administered 01/20/2023 - Due Sunday 01/29/2023, 11:59 PM to Gradescope Problem 1 (20 points) As you may recall from lectures in chapter 2, there are different...
Study smarter with the SolutionInn App