A large plate is fabricated from a steel alloy that has a plane strain fracture toughness of 50.0 MPa-m1/2 . If, during service use, the plate is exposed to a tensile stress of 200 MPa (29,000 psi), determine the minimum length of a surface crack that will lead to fracture. Assume a value of 1.0 for Y.

Answers

Answer 1

Answer:

The answer is "[tex]0.0199044586 \ m\\\\[/tex]".

Explanation:

The crucial stress essential for activating the spreading of the crack is [tex]\sigma[/tex], the hardness of the strain break is K, as well as the area long of a break is a, for dimensionless Y. Its equation of the length of its surface of the fracture is 50.1 MPa [tex]\sqrt{m}[/tex] on K, 200MPa on [tex]\sigma[/tex], and 1 on Y.

[tex]a = \frac{1}{\pi} (\frac{K}{Y \ \sigma} )^2 \\\\[/tex]

  [tex]= \frac{1}{\pi} ( \frac{50.0}{1 \times 200} )^2 \\\\= \frac{1}{3.14} ( \frac{1}{4})^2 \\\\= \frac{1}{3.14} ( \frac{1}{16}) \\\\=\frac{1}{50.24}\\\\=0.0199044586 \ m\\\\[/tex]


Related Questions

Other Questions
PLS HELP BEING TIMED!!!!Which describes the transformation that could have been applied to triangle ABC?A dilation could have been applied because all of thevertices decreased by 2 units.O An isometric transformation could have been appliedbecause all of the vertices moved 2 units right and 2units down.A dilation could have been applied because all of thevertices increased 2 units.An isometric transformation could have been appliedbecause all of the vertices moved 2 units left and 2units up. Which of the following illustrates the concept of civic virtue?aHelping the economy grow bDoing things for the common good cMaking the government strong dBecoming a wealthy individual Pls dont give me a essay from the internet. I have a app that can tell me if its from the internet. Pls help me :( How were indentured servants different from slaves?A.They worked in the household instead of in the fields.B. They were guaranteed free land after a set time of service.C. They worked for a limited number of years before being free.D. They were able to return to their homeland during their service. Write one rule when using the pretrito (spanish 2) Games at the carnival cost $2.50 each. The prizes awarded to winners cost $135.00. How many games must be played to make at least $45?7171.57272.5help 1Vie3Jaylan makes limeade using cup water percup lime juice. Wanchen makes limeadef steVid1using cup water per cup lime juice. Find the unit rates of water (cups) per lime23juice (cups). Whose limeade has a weaker lime flavor? Enter your answer as a properfraction or a mixed number.TePriPart 1 out of 2Jaylan's limeade containsWenchan's limeade containscups water per cup of lime juice.cups water per cup of lime juice. Help plzs I really need it I'm answering any 5th grade and below questions PLEASE HELP ME!!! A particle, initially 15m from the origin and travelling at 2 ms^-1, accelerates at a constant rate and ends up 20 m from the origin and travelling at 5 ms^-1. Whatis its acceleration? How do the authors of the Declaration best use deductive reasoning tosupport the idea that the colonists have a right to form a new government? Developing the ability to solve problems can help you . The first step you should take is to the problem and then solve it. a. advance in your career a. create b .become more ethics b. identify c. change your values c. ignore Parte u. Tipos de prrafosLee cuidadosamente los siguientes prrafos Clasificalos en ARGUMENTATIVO, ESPOSITIVO.DESCRIPTIVO, NARRATIVO E COMPARATIVO. 12 puntos1. El perro de Ana es un perro grande, de color negro para mesta. Tienetodas las vacunas al dia. Se llama "Puppy y tiene 14 anos. Es muy obediente aunque ya est unpoco sordo. Como es muy mayor de edad, el duerme todo el dia2. Holanda es un pais que pertenece a una regin de los Paises Bajos. Amenudo se confunde el trmino "Paises Bajos" con "Holanda" cuando el trmino Holanda sotocomprende 2 regiones de las 12 que constituyen los Pases Bajos. Este territorio, est divididoen dos provincias o estados desde el ao 1840, formando as "Holanda septentrional"Holanda meridional", Completa las oraciones con el superlativo absoluto del adjetivo entre parntesis. Ramona completed all 30 questions on the test. If 5/6 of the questions were correct, how many questionsdid Ramona answer incorrectly?Help taking a test.! Read President McKinleys State of the Union Address from April 11, 1898, in the passage below and answer questions #8-14The grounds for such intervention may be briefly summarized as follows: First, in the cause of humanity and to put an end to the barbarities, bloodshed, starvation, horrible miseries now existing thereSecond, we owe it to our citizens in Cuba to afford them protection and indemnity for life and property, which no government there can or will affordThird, the right to intervene may be justified by the very serious injury to the commerce, trade and business of our people, and by the wanton destruction of property and devastation of the island Question 8 (2 points)To whom is President McKinley directing the State of the Union speech?aThe United States Congress in the Washington D. C.bThe American people via television.cThe Cuban people while sitting on a beach in Havana.dThe Spanish people via internet. Which of the following best describes interval C on the graph shown? (4 points) A coordinate plane is shown. The line increases from x equals 0 to 2, then is horizontal from 2 to 4, decreases from 4 to 5, and then increases from 5 to 8. Group of answer choicesLinear increasingLinear constantLinear decreasingNonlinear increasing I need help with this question! Thanks! Please put a comment if you need the text to read it. What role do Political Parties play in the United States? A centroid of a triangle is always inside the triangle because thepasses through a vertex and the side opposite.A. medianB. angle bisectorC. altitudeD. perpendicular bisector