
(a)
Interpretation:
The critical crack length required to cause a fracture needs to be determined.
Concept Introduction:
Relation of critical fracture toughness is as follows:
Here,

Answer to Problem 7.37P
Critical crack length to cause fracture is given by 0.00853 m.
Explanation of Solution
Given Information:
Critical fracture toughness is given by
Here,
Squaring on both sides
Equation (1) becomes
The critical length that results to fractured is 0.00853 m.
(b)
Interpretation:
The cycles that cause product failure needs to be determined, if critical length is 0.00853 m.
Concept Introduction:
Equation for the number of cycles that causes failure is as follows:

Answer to Problem 7.37P
Number cycle that will cause product failure is 50366 cycles.
Explanation of Solution
Given Information:
Since, equation for number of cycles that causes failure is as follows:
Here,
Putting the values,
Hence a number of the cycle causes product failure is 50366 cycles.
Now, the critical length that causes a fracture, if the product is removed when a crack reaches 15% of critical crack length
Now, the number of cycles required when the product fails can be calculated as follows:
Equation (1) becomes,
Cycles cause product failure is 2043 cycles.
(c)
Interpretation:
If cycle causes failure is given by 2043 cycles, the percentage of the useful life of the product if it is removed from service needs to be determined.
Concept Introduction:
The percentage of the useful life of the product is given by the following relation:

Answer to Problem 7.37P
Percentage of the useful life of product remains is 4%.
Explanation of Solution
Given Information:
The percentage that of useful life of the product remains is as follows:
Hence the percentage of useful life is 4%.
Want to see more full solutions like this?
Chapter 7 Solutions
Essentials Of Materials Science And Engineering, Si Edition
- Can you determine the eignevalues by hand?arrow_forwardMonthly exam 13 2021-2022 Power plant Time: 1.5 Hrs Q1. A The gas-turbine cycle shown in Fig. is used as an automotive engine. In the first turbine, the gas expands to pressure Ps, just low enough for this turbine to drive the compressor. The gas is then expanded through the second turbine connected to the drive wheels. The data for the engine are shown in the figure, and assume that all processes are ideal. Determine the intermediate pressure Ps, the net specific work output of the engine, and the mass flow rate through the engine. Find also the air temperature entering the burner T3 and the thermal efficiency of the engine. Exhaust Air intake Φ www Regenerator www Bumer Compressor Turbine Power turbine et 150 kW Wompressor P₁ = 100 kPa T₁ = 300 K PP₁ =60 P-100 kPa T₁ = 1600 K Q2. On the basis of a cold air-standard analysis, show that the thermal efficiency of an ideal regenerative gas turbine can be expressed as 77 = 1- where - () () гp is the compressor pressure ratio, and T₁ and…arrow_forwardI need to find m in R = mD from the image given. Do you really need to know what R and D is to find R. I was thinking geometrically we can find a relationship between R and D. D = R*cos(30). Then R = mD becomes m = R/D = 1/cos(30) = 1.1547. Is that correct?arrow_forward
- Q1] B/ (16 Marks) To produce a lightweight epoxy part to provide thermal insulation. The available material are hollow glass beads for which the outside diameter is 1.6 mm and the wall thickness is 0.04 mm. Determine the weight and number of beads that must be added to the epoxy to produce a 0.5 kg of composite with a density of 0.65 g/cm³. The density of the glass is 2.5 g/cm³ and that of the epoxy is 1.25 g/cm³.arrow_forwardSuppose a random variable X as pmf / Px (x) = { %, x = 1, 2, 3, 0, otherwise. find constand c ①P(X = 1), P(X 7,2), PC1 3) C CDFarrow_forwardGiven the following request to an AI chatbot, which response is better? Prompt Write a love poem about someone longing for a sandwich. Make it a sonnet, and give it a tone that straddles a serious love poem and whimsy appropriate for a poem about a sandwich.arrow_forward
- Help i keep getting the wrong answer. So I must be doing something wrong.arrow_forwardSuppose that a coin is tossed three so that the sample space is Let X represent the number of heads that can come up. i) Find the probability function corresponding to the random variable X. Assuming that the coin is fair ii) Find the distribution function for the random variable X. iii) Obtain its graph.arrow_forwardQ9 A single-phase transformer, 2500 / 250 V, 50 kVA, 50 Hz has the following parameters, the Primary and secondary resistances are 0.8 ohm and 0.012 ohm respectively, the primary and secondary reactance are 4 ohm and 0.04 ohm respectively and the transformer gives 96% maximum efficiency at 75% full-load. The magnetizing component of-load current is 1.2 A on 2500 V side. 1- Draw the equivalent circuit referred to primary (H.V side) and inserts all the values in it 2- Find out Ammeter, voltmeter and wattmeter readings on open-circuit and short-circuit test. If supply is given to 2500 V side in both cases. Ans. O.C. Test (Vo= 2500 V, lo=1.24 A, Wo=781.25 w) S.C. Test (Vsc =164.924 V, Isc =20 A, Wsc =800 w )arrow_forward
- Q. VI: An equimolar liquid mixture of benzene and toluene is separated into two product streams by distillation. At each point in the column some of the liquid vaporizes and some of the vapor stream condenses. The vapor leaving the top of the column, which contains 97 mole% benzene, is completely condensed and split into two equal fractions: one is taken off as the overhead product stream, and the other (the reflux) is recycled to the top of the column. The overhead product stream contains 89.2% of the benzene fed to the column. The liquid leaving the bottom of the column is fed to a partial reboiler in which 45% of it is vaporized. The vapor generated in the reboiler (the boilup) is recycled to become the rising vapor stream in the column, and the residual reboiler liquid is taken off as the bottom product stream. The compositions of the streams leaving the reboiler are governed by the relation, YB/(1 - YB) XB/(1 - XB) = 2.25 where YB and XB are the mole fractions of benzene in the…arrow_forward1. Comparison between Stack and Queue: Concepts and Use Cases A comparative study between stacks and queues in terms of behavior, structure, and real-world applications.arrow_forwardIs developed App in play store much easier than in app store because i look app like human anonymus and like walter labs prioritize iphone app store first is it difficult to developed app on play store ? And btw i want to move to iphone anroid suckarrow_forward
- MATLAB: An Introduction with ApplicationsEngineeringISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncEssentials Of Materials Science And EngineeringEngineeringISBN:9781337385497Author:WRIGHT, Wendelin J.Publisher:Cengage,Industrial Motor ControlEngineeringISBN:9781133691808Author:Stephen HermanPublisher:Cengage Learning
- Basics Of Engineering EconomyEngineeringISBN:9780073376356Author:Leland Blank, Anthony TarquinPublisher:MCGRAW-HILL HIGHER EDUCATIONStructural Steel Design (6th Edition)EngineeringISBN:9780134589657Author:Jack C. McCormac, Stephen F. CsernakPublisher:PEARSONFundamentals of Materials Science and Engineering...EngineeringISBN:9781119175483Author:William D. Callister Jr., David G. RethwischPublisher:WILEY





