Consider the plane stress inhomogeneous case with only variation in elastic modulus given by E = E(y)
Question:
Consider the plane stress inhomogeneous case with only variation in elastic modulus given by E = E(y) = 1/ (Ay + B). Further assume that the Airy function depends only on y, ∅ = ∅(y). Show that governing relation (14.1.6) reduces to the ordinary differential equation:
Equation 14.1.6
Transcribed Image Text:
d b (Ay+B)- +2A- dy oldy = C/(y + B/A), thus giving the stress forms 0x d dy3 = Solve this relation to find that db C dy y+B/A where C and C are arbitrary constants of integration. 0 + C, ay = Txy = 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
0 106 v0 For plane stress 1416 ay Edy E x For the case with E Ey1Ay B v constant ...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ 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
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Consider a stress function formulation for the axisymmetric problem discussed in Section 14.2. The appropriate compatibility relation for this case has been previously developed in Example 8.11; see...
-
For Example 16.1, show that the element stiffness equations for the isotropic case are given by relations (16.4.1) and (16.4.2). Data from example 16.1 Equation 16.4.1 Equation 16.4.2 Consider the...
-
How many objects are eligible for garbage collection at the end of the main() method? A. None. B. One. C. Two. D. Three. E. The code does not compile. F. None of the above. package store; public...
-
Two titanium spheres approach each other head-on with the same speed and collide elastically. After the collision, one of the spheres whose mass is 300 g, remains at rest. (a) What is the mass of the...
-
Axel Telecommunications has a target capital structure that consists of 70% debt and 30% equity. The company anticipates that its capital budget for the upcoming year will be $3 million. If Axel...
-
If the supporting rods of equal diameter are made from 2014-T6 aluminum, determine the required diameter to the nearest 1/16 in. of each rod when P = 80 kip. The allowable normal stress of the...
-
Bank 98 operates a main location and three branch locations in a medium-size city. All four locations perform similar services, and customers typically do business at the location nearest them. The...
-
What are the concept of learning styles, personalities, and how these concepts are combined with adult learning in organizational training and development programs ?
-
The stress state x = y = 0, xy = T = constant corresponds to the Airy stress function =T xy . For this case with constant Poissons ratio, show that the general equation (14.1.6) greatly reduces...
-
Following the scheme used in Example 14.1, consider the same stress field case = Ty 2 /2 but with modulus variation in the y-direction, E = E(y). First show that the required modulus variation is...
-
What are the operator, unknown(s), forcing function and input(s) for T T = 5x
-
If you must do positive work to bring a charged balloon toward a negatively charged sphere, is the charge on the balloon positive or negative?
-
A rubber rod exerts no electric force on a small scrap of paper. After it is rubbed on cat fur for several seconds, the rod exerts an attractive force on the scrap. Is the force exerted by the fur on...
-
How can one prevent the development of a toxic culture such as the one described?
-
A closed system consists of a neutron and a positron. The neutron eventually decays. After decay, what are the most likely particles in the system, and what is the charge in the system? (Use the...
-
Metal sphere \(\mathrm{A}\) is hung from the ceiling by a long, thin string and given a positive charge. An identical sphere B is suspended nearby with an identical string and given a negative charge...
-
What happens to the supply curve for dollars in the currency market under the following conditions? a. Americans wish to buy more Japanese consumer electronics. b. the United States wishes to prop up...
-
Assume a simple Keynesian depression economy with a multiplier of 4 and an initial equilibrium income of $3,000. Saving and investment equal $400, and assume full employment income is $4,000. a. What...
-
The following function describes oscillations in some mechanical structures and electric circuits. In this function t is time, and is the oscillation frequency in radians per unit time. The...
-
The electric potential field V at a point, due to two charged particles, is given by where q 1 and q 2 are the charges of the particles in coulombs (C), r 1 and r 2 are the distances of the charges...
-
Refer to Problem 25 of Chapter 4. Use the function file created for that problem to generate a surface mesh plot and a contour plot of x versus h and W for 0 W 500 N and for 0 h 2 m. Use the...
-
Answer question (i) to (v) as in Program 7 below with suitable codes to produce output as in Figure 3. //Program 7 public class TestException { public static void main(String args[]) { int array[]...
-
15. Sort the following integer array into descending order using selection sort. Number the passes, and show the state of the array after each pass. Pass (8, 2, 5, 6, 7) State of the array 16. Sort...
-
Which sequences of paths are explored by BFS and DFS in this problem? Exercise 2 Given the graph represented in t Figure 1, where n, is the initial state, n, is the final state, each edge nn' is...
Study smarter with the SolutionInn App