For polar coordinates defined by Fig. 1.8 , show that the transformation relations can be used to

Question:

For polar coordinates defined by Fig. 1.8 , show that the transformation relations can be used to determine the normal and shear strain components er, eq, and erq in terms of the corresponding Cartesian components:

er = ex+ey ex-ey, -+ 2 2 eo = ero = ex+ey 2 ey - ex 2 -cos 20 +exy sin 20 ex-ey 2 -cos 20exy sin 20 sin 20+

Fig 1.8

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Elasticity Theory Applications And Numerics

ISBN: 9780128159873

4th Edition

Authors: Martin H. Sadd Ph.D.

See More Books

Question Posted: Jan 15, 2024 05:00 AM

See More Questions

Show that the general two-dimensional stress transformation relations can be used to generate relations for the normal and shear stresses in a polar coordinate system in terms of Cartesian...
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
What is the effect of cultural commoditization and transformation on local traditions and customs? Give an example. Check Chapter 4 in the textbook for information on cultural commoditization and...
A vertical well is drilled through a stratigraphic section twice (repeated section). What type of fault can we infer, and why can we not explain this by folding?
A uniform spring with k = 8600 N/m is cut into pieces I and 2 of un-stretched lengths L1 = 7.0 cm and L2 = 10 cm. What are? (a) k1 and (b) k2? A block attached to the original spring as in Figure...
Norman NV's income statement for the year ended December 31, 2019, contained the following condensed information. Norman's statement of financial position contained the following comparative data at...
In 1988, the Upper Deck Company was a company with an idea for a better baseball card: one that had a hologram on it. By the 1990s, the firm was a major corporation worth at least a quarter of a...
These financial statement items are for B. Snyder Company at year-end, July 31, 2010. Instructions(a) Prepare an income statement and an owner??s equity statement for the year. The owner did not make...
6. What %A, %B, and %C are represented by the black dot in the drawing ==> ? (Figure out real number values using the lever rule and a ruler.) A C b a C B
A rosette strain gage is an electromechanical device that can measure relative surface elongations in three directions. Bonding such a device to the surface of a structure allows determination of...
Explicitly verify that the general rigid-body motion displacement field given by (2.2.10) yields zero strains. Next, assuming that all strains vanish, formally integrate relations (2.2.5) to develop...
Use the binomial theorem to expand each expression. (2m + 3)3
1 You have been asked by a client to forecast the dividend per share of Clouds plc over the next 3 years. From initial investigation, you find out that the company paid a dividend of 1.00 per share...
New equity issues are generally only a small portion of all new issues. At the same time, companies continue to issue new debt. Why do companies tend to issue little new equity but continue to issue...
The shareholder equity accounts for Hexagon International are shown here: (a) If Hexagon shares currently sell for 25 per share and a 10 per cent stock dividend is declared, how many new shares will...
Behavioural Finance Do you think emerging markets will be more or less efficient? Do you think they will be more or less sensitive to market sentiment? Explain.
My company can borrow at 5 per cent so it means that its cost of capital for all new projects is 5 per cent. Do you agree with this statement? Explain.
Your first child is now a 1-year-old. It currently costs a total of $60,000 to attend a public college for four years. If these costs rise 5 percent annually, how much must you invest each year to...
Ball bearings are widely used in industrial applications. You work for an industrial food machinery manufacturer and your role is to design the driveshaft assembly on a new type of equipment that...
(a) What value of absorbance corresponds to 45.0% T? (b) If a 0.010 0 M solution exhibits 45.0% T at some wavelength, what will be the percent transmittance for a 0.020 0 M solution of the same...
(a) A 3.96 10 4 M solution of compound A exhibited an absorbance of 0.624 at 238 nm in a 1.000-cm cuvet; a blank solution containing only solvent had an absorbance of 0.029 at the same wavelength....
Ammonia can be determined spectrophotometrically by reaction with phenol in the presence of hypochlorite (OCl - ): 4.37-mg sample of protein was chemically digested to convert its nitrogen into...
How do metabolic flux analysis techniques, such as isotopic labeling, metabolomics, and flux balance analysis, provide quantitative insights into metabolic pathway activity, metabolic flux...
The following data are available for Big Box Corporation: Beginning inventory $ 1 2 , 5 0 0 Purchases returns and allowances 8 0 0 Purchases 4 5 , 0 0 0 Sales 8 5 , 4 0 0 Purchases discounts 1 , 2 0...
The graph number of years of experience for 25 teachers enrolled in an advanced-degree program at a particular university. If a 26th teacher with 2 years of experience is added to the program and to...

For polar coordinates defined by Fig. 1.8 , show that the transformation relations can be used to

Question:

er = ex+ey ex-ey, -+ 2 2 eo = ero = ex+ey 2 ey - ex 2 -cos 20 +exy sin 20 ex-ey 2 -cos 20exy sin 20 sin 20+ exy cos 20

Step by Step Answer:

cos sin e QU sin cos Use twodimensiona 1 transfor...View the full answer

Elasticity Theory Applications And Numerics

Students also viewed these Engineering questions