Sunday, January 26, 2020

Radial Ball Bearing Material

Radial Ball Bearing Material You are tasked with selecting a material that is suitable for the balls in a radial ball bearing such as the one shown in Fig. 1. Radial ball bearings although intended primarily for radial loads, will also carry a certain amount of thrust.    Ball Figure 1 Ball bearing The following details are known in relation to radial ball bearing design: Youngs modulus should have a minimum of 200 GPa. The compressive strength should have a value à ¯Ã¢â‚¬Å¡Ã‚ ³ 300 MPa. The balls must not fail under load. It can be assumed that the contact stress can be modelled for a sphere on a flat (see Fig. 1). An assumption should be made that the material for the ball and the raceway are the same and therefore they have the same moduli and Poissons ratio has a value of 1/3. The balls should be light. Material selection process. This refers to selecting a material that meets all the constraints and objective below. Design requirements: Table 1 Table of design requirements Function   Suitable for balls in a radial ball bearing Constraints Youngs modulus must be greater than 200 Gpa. Compressive strength should not have a value of less than 300Mpa. (Assumption)Moduli and Poissons ratio being the same (ratio of ). Objectives The balls must not fail under load, contact should be modelled for a sphere on a flat. The balls should be light. Free variables Cross sectional area Material choice Mass of ball Below is a figure of all materials with a mechanical property (Youngs modulus greater than 200Gpa and Compressive strength greater than 300Mps) against density: Seen below is a table of the materials and their corresponding Youngs modulus. Table 2 Table of materials Name Youngs modulus (GPa) Tungsten carbides 625 700 Boron carbide 440 472 Silicon carbide 400 460 Alumina 343 390 Tungsten alloys 310 380 Aluminium nitride 302 348 Silicon nitride 290 318 Zirconia 200 250 Nickel-based super alloys 150 245 Nickel-chromium alloys 200 220 Nickel 190 220 Low alloy steel 205 217 Medium carbon steel 200 216 Low carbon steel 200 215 High carbon steel 200 215 Stainless steel 210 Although seen above, 16 values have passed the requirements so far, further analysis will be conducted, and this can be seen below; The below table illustrates the materials that meet the design requirements, the table is ranked based on Youngs modulus, from highest modulus to lowest. The Compressive strength of the material must also be considered, a minimum compressive strength of 300MPa must apply. The table below illustrates each materials Youngs modulus and corresponding compressive strength. Table 3 Materials with Youngs modulus and compressive strengths that meet design requirements (density also noted) Name Youngs modulus (GPa) Compressive strength (MPa) Tungsten carbides 625 700 3.35e3 6.83e3 Boron carbide 440 472 2.58e3 5.69e3 Silicon carbide 400 460 690 5.5e3 Alumina 343 390 690 5.5e3 Tungsten alloys 310 380 555 800 Aluminium nitride 302 348 1.97e3 2.5e3 Silicon nitride 290 318 524 5.5e3 Zirconia 200 250 3.6e3 5.2e3 Nickel-based super alloys 150 245 300 1.9e3 Nickel-chromium alloys 200 220 365 460 Nickel 190 220 70 1e3 Low alloy steel 205 217 400 1.5e3 Medium carbon steel 200 216 305 1.76e3 Low carbon steel 200 215 250 395 High carbon steel 200 215 335 1.16e3 Stainless steel 189 210 170 1e3 Below is a bubble chart of Youngs modulus versus compressive strength: Figure 2 Bubble chart of Youngs modulus of Compressive strength The above figure is on a logarithmic scale. Only materials that have passed the requirements were plotted. When surfaces are placed in contact they touch at one or a few discrete points. If the surfaces are loaded, the contacts flatten elastically and the contact areas grow until failure of some sort occurs. (Duffy, 2010) Compressive stress causes this. As the requirements state; should be modelled as a sphere on a flat, this allows the student to use following formulae (contact stresses); Figure 3 Sphere on a flat (Duffy, 2010) (Yield Stress)   Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   The following is subbed in to produce the below: x x x x = = The mass of the sphere must be derived, this is done below; Where is density and is volume Volume of a sphere is denoted as: m= The student knows the objective is to minimise the mass of the ball, the derivation above is done on that basis and results in the equation being flipped above. From the material selection index above, the equation can be related in the logarithmic scale: = This results in: This now means the slope can be known to be = 0.222 The above value is known as an index line; Index lines can be used to compare the performance of different materials, and to find replacement materials. Materials that are on the line will all perform equally well in each design. Materials above the line have a higher performance index and will therefore perform better; those below the line have a lower index value. (Edupack, 2006) The below bubble chart illustrates the material selection process using the slope; Figure 4 Material selection with material index As seen from above, with a material index of 0.222 the following two materials passed (whole record is within the selection was used); Name Index slope =0.2222 Silicon nitride 6.55e101 Zirconia 1.66e100 As seen from above the materials are both ceramic. An additional chart plotting the materials costs can also be seen below; Figure 5 Price of selected material Figure 6 Price of selected material Pass only A table of the materials cost can also be seen below; Table 4 Table of costs Name Price(EUR/kg) Zirconia 17.1-24.7 Silicon nitride 32.3-49.4 (i) It has been identified that both Youngs modulus and compressive strength are important material properties when selectin ball bearings, below is a detailed summary of why each property is important; Youngs modulus refers to a materials elastic modulus. This determines the stiffness of a solid material. This is a proportional (constant) between stress as long as stress is less than the yield point. This results in a smaller strain with the same stress in a stiffer material. In relation to a ball bearing Youngs modulus of Silicon nitride is about 1.5 times that of steel, meaning a smaller contact surface is present when there is a high contact pressure. Hertz theory means the maximum load for combination steel- Silicon nitride reduced with 30%. In relation to the contact of the bearing we know it will be a sphere on a flat. The balls within a bearing are going to experience both an axial and radial force. If the force is too great for the material this may result in deformation (changing of shape). This affects the ball bearings ability to perform, this can be compared to as a wheel on a car, if it is flat may result in a pulling motion. If severe deformation occurred this may result in the bearing not allowing for rotation. This means that Youngs modulus is important when selecting materials for ball bearings. Youngs modulus mathematical representation; It is noted from CES EduPack that silicon nitride is used mostly for ball bearings the Youngs modulus is known to be; 290-318 GPa (Edupack, 2006) Compressive strength refers to a materials resistance to compressive stress. This is when a force is applied in an inwards direction in the material. It is opposite to tensile stress. As a ball bearing is going to have one point of contact, (below) compressive strength is an important element in choosing the material. This is due to the radial forces applied when the ball is in the raceway. Once again, if the radial force is greater than the materials compressive strength abilities this will result in deformation. This will affect the bearings performance. Compressive strength can be up to 10 times greater than tensile stress. Ceramic material has a good compressive strength due to crack propagation, since there are more internal cracks in ceramics (than most materials) if placed under tension cracks will propagate and produce failure where if it is placed under compression it works in the opposite manner. Compressive strength mathematical representation; It is noted from CES EduPack that silicon nitride is used mostly for ball bearings the compressive strength is known to be; 524-5.5e3 MPa   (Edupack, 2006) (ii) The other material properties of Silicon Nitride which lead to superior operating performance can be seen below; General properties Density3.1e3-3.4e3kg/m^3 Price*32.3-49.4EUR/kg Date first used1958 Mechanical properties Youngs modulus290-318GPa Shear modulus*100-128GPa Bulk modulus*210-232GPa Poissons ratio0.26-0.28 Yield strength (elastic limit)*600-720MPa Tensile strength600-720MPa Compressive strength524-5.5e3MPa Elongation0% strain Hardness Vickers1.4e3-1.6e3HV Fatigue strength at 10^7 cycles*300-500MPa Fracture toughness4-6. 7MPa.m^0.5 Mechanical loss coefficient (tan delta)*2e-5-5e-5 Thermal properties Melting point2.39e3-2.5e3 °C Maximum service temperature1e3-1.2e3 °C Minimum service temperature-272271 °C Thermal conductor or insulator?Good conductor Thermal conductivity22-30W/m. °C Specific heat capacity670-800J/kg. °C Thermal expansion coefficient3.2-3.6 µstrain/ °C Electrical properties Electrical conductor or insulator?Good insulator Electrical resistivity1e20-1e21 µohm.cm Dielectric constant (relative permittivity)7.9-8.1 Dissipation factor (dielectric loss tangent)*5e-4-7e-4 Dielectric strength (dielectric breakdown)*11-131000000 V/m Optical properties TransparencyTranslucent Refractive index1.95-2 Processability Moldability2-3 Weldability1-2 Eco properties Embodied energy, primary production116-128MJ/kg CO2 footprint, primary production4.63-5.12kg/kg RecycleRecycle (Edupack, 2006) The above characteristics result ceramic materials being the optimum material for ball bearings; High speed, faster acceleration this is because ceramics are only 40% as dense as steel. However, the material can deliver 30-50% higher running speeds with reduced skidding and less lubrication needed. Lighter in weight ceramic ball bearings are more rigid to that of steel ball bearings and lighter in weight.   This allows for lower coefficients and a higher overall RPM (rotation per minute) Greater accuracy since ceramics has 50% higher modulus of elasticity than steel. This means less of a deformation which leads to vibration and spindle deflection, this increases components productivity and quality. Reduced friction: benefits of this include: longer life, energy efficiency reduced noise levels, less heat and less lubrication needed. Non-conductive materials like Silicon nitride eliminate the pitting and fluting of raceways which ic common in electrical motor applications. If steel is used in bearings the electricity could cause magnetic field (EMF) and this could act as a conducted damaging the bearings over time. Ceramic materials are immune to EMF, which mean they perform well even when electricity is present. Corrosion resistance Silicon nitride; more effective than steel balls in the presence of liquids such as water or corrosive materials. Corrosion resistance can be enhanced when ceramic balls are used with dry fil, lubricant on the ring and retainer components. Longer operating life Up to 5 to 10 times longer than standard metal bearings. Higher temperature operation ceramic ball bearings can operate in high temperatures (up to 1,800  °F) Less noise and vibration due to a lower coefficient of friction (Ibsco, 2011) The two materials chose were Silicon Nitride and Zirconia. A brief description can be seen below outlining why the individual ceramic is the optimum choice; Silicon Nitride: This material contains high temperature capabilities, meaning it has a low thermal expansion coefficient which gives good thermal shock resistance compared to other ceramic materials. The material is up to 58% lighter than steel silicon (Carter, 2009). As the material is lighter it means a smaller force is needed to roll the element. The main advantage to this is that silicon nitride can carry similar loads to that of silicon steel with less force needed. Zirconia: Zirconia was made for high performance duties such as (atmospheric journeys). This means the material has the highest temperature ability. However, this material has a high thermal expansion (almost like steel) but weighs less so it does not have the same weight saving and thermal shock resistance found in other ceramic materials. (Carter, 2009) Zirconia is used when low loads are applied or when high temperature capabilities are needed (corrosive too). (iii) Porosity refers to a measure of void (empty spaces in a material) and is a fraction of the volume of voids over the total volume between 0% and 100% (Quora, 2003) Technical ceramics do not have open porosity. To achieve porosity manufacturing process must be done (use of additives). This then allows closed and open pores to be created, ranging from nm to  µm. Porosity can have various effects on the mechanical properties of ceramics (as chosen). The following properties are effected: Compressive strength Density Fatigue Youngs modulus Fracture toughness Shear modulus Tensile strength Any residual porosity will influence elastic properties and strength. For some materials, the magnitude of the modulus of elasticity E decreases with volume fraction per; It is known that porosity affects flexural strength as it reduces cross-sectional area. It also results in pores acting as stress concentrates. (Duffy, 2010) (iv) Below is a completed table for ceramic materials having 20vol% porosity. This is done by using the following; The below calculation for silicon nitride is done for clarity; ) = 199.424 GPa Where is the modulus of elasticity and is the porosity volume. Table 5 Ceramic materials with 20vol% Material Modulus of Elasticity GPa Porosity at 20vol% E(20%) Porosity GPa Silicon nitirde 304 0.2 199.424 Zirconia 205 0.2 134.48 Silicon carbide 345 0.2 226.32 Aluminum oxide 393 0.2 257.808 Glass-ceramic 120 0.2 78.72 Mullite 145 0.2 95.12 Spinel 260 0.2 170.56 Magnesium oxide 225 0.2 147.6 Fused silica 73 0.2 47.888 Soda-lime glass 69 0.2 45.264 As seen from the above, silicon nitride is the ceramic material resulting in a modulus of elasticity when having a porosity volume of 20%. References Carter, 2009. Carter. [Online] Available at: http://www.carterbearings.co.uk/unasis/hybrid-and-ceramic-bearings/ceramic-matericals-and-their-properties-part-2/[Accessed Saturday Feburary 2017]. Duffy, J., 2010. Moodle. [Online] Available at: http://moodle.itb.ie/pluginfile.php/115304/mod_resource/content/0/CES%20EduPack%20-%20USEFUL%20SOLUTIONS%20to%20COMMON%20PROBLEMS%202008%20-%2001Jan13.pdf[Accessed Wednesday Feburary 2017]. Edupack, C., 2006. s.l.: s.n. Ibsco, 2011. Ibsco. [Online] Available at: http://www.ibsco.com/ceramic-ball-bearings.php[Accessed Saturday Feburary 2017]. Quora, 2003. Quora. [Online] Available at: 2017[Accessed Wednesday Feburary 2017].

Saturday, January 18, 2020

Effective Habits Worksheet Essay

Review Phoenix Career Plan results of Career Plan Building Activity: Work Culture Preference, respond to the following in 50 to 100 words each: 1.Describe your ideal study environment. My ideal study environment has to be in a quit and organized place. I like to listen to soft classical music in the background while I study. My dominant intelligences is Visual, Verbal, and Interpersonal. Learning while I listen to music helps me focus. Having my desk organized, I spend less time digging through files and books to find the information I need for my studying. 2.List some of the distractions that might hinder your study progress or your performance in an online classroom. There are few distractions that can hinder anyone’s studying progress. With the online classroom, you need to go on the internet. There are many interesting pop-up ads and web site that will get your attention. Social community web sites such as Facebook can also distract your studying habit. The internet can be helpful in many ways, but it can also hinder your studying progress. 3.What actions can you take to manage and eliminate distractions? The best way to eliminate distractions is to set your homepage to the University of Phoenix web site. You should also bock any pop-up advertisement through internet options settings. Keep your desk organize for you to easily locate the things near your surroundings. This will help you focus on the subject your studying. 4.How will you apply your personal learning style? How does your personal Learning style affect your study habits? After finding out my VARK score, this gave me the best way for me to learn using different strategies. I have learned that I am better with Visual learning strategies. I will be more focused with underlining my notes, use symbols, charts, or graphs to display my notes. This will be more effective and going back to my notes will help me remember the lesson I have learned. 5.List 5 effective study strategies from this week that you will use. Explain why you selected them and why they are effective strategies for online learning. 1.Making studying into a part of my daily routine. Even with the busy schedule that I have, having it as my daily routine will allow me to go online and follow my syllabus and stay on track with my learning habit. This is also effective for online learners because, it is self-studies and you need to manage your time wisely to achieve your success. Your professors are not there to check up on you daily. 2.Collaborate with others will help me with the understanding of the topics. They can provide with the ideas that I haven’t thought of. Going into the discussion form, you can chat with others and express your own opinions to get feedbacks. This will help the online learns since they are not in the class room environment. 3.Trying to get more sleep daily. This is something I really focused this week. Sleeping will reduce your stress level and help you focus more on the topic. Online learners might be busy with their schedules. This is something they all should consider. It will improve your personal as well. 4.Following a regular exercise program is something I am going to try. Exercising is also related to stress level. It is very difficult to focus when you are stressed. The best way to release stress is to exercise. Exercise will help everyone who are studying online. 5.Getting a tutor will be something I will use later in the difficult courses. With my current busy schedule, it is very difficult keeping up with the subjects. Having a tutor will help me with the things I missed. This will help the online learners in the same way that I did. 6.Identify one change you can make immediately to increase the effectiveness of your study habits. Explain how this will help you become more effective. Making studying into a part of my daily routine will be the most effective way to increase the effectiveness of my studying. Set myself with a fixed time schedule and always committed to the studying schedules, As long as I follow the schedule well, this will change my daily routine and I will always make an appointment around my studying time. 7.How does your personal learning style relate to your ideal workplace and your personal work competencies? With my personal learning style, I am likely to gain more from visual, verbal, and interpersonal environment. With my work culture, I am better with teamwork centered and leadership intensive. This relates to my interpersonal skills and I share information with others and teach the information as well. This can also relate to my competencies strengths. I have well organizing skills which tells me that it also relates to my personal learning style, 8.How is understanding your ideal learning environment applicable to selecting your ideal workplace? Understanding you ideal learning environment, you will have the knowledge how to make it more effective and how to learn in a stress free environment. Everyone has a different ways to learn. Once you have mastered how to effectively study with you learning habit, you can look for a position which will allow you to work more effectively and produce the most profit for the company.

Friday, January 10, 2020

Becoming Members of Society: Learning the Social Meanings

Melvin Richardson Professor Shana Smith English 112 (D22P) March 21, 2013 Machin Rifamos (The Rise of Brown America An argument essay by Melvin Richardson) â€Å"Resistance is futile† is a resounding statement first exclaimed by the alien race called the Borg in the Gene Roddenberry long running television series Star Trek. â€Å"Why do you resist? Asked the Borg commander, Ryker replies â€Å"I like my species the way it is†! Borg commander counters with, â€Å"We only wish to raise quality of life for all species†.This is the last thing you heard before your kind was assimilated and your unique cultural and biological essences absorbed. If you have heard or read this statement before, it’s because it has been the theme of White America since its inception and so has appropriating and assimilating cultures, with racism, class warfare, and loss of ethnic identity as unfortunate by-products. The Xicano (Chicano) was able to evolve and retain their cultural identity and ethnicity by creating a border dialect or language (a Patois) which supports the view of the essayist Gloria Anzaldua’s â€Å"How to Tame a Wild Tongue. This dialect is viewed as sub-cultured jargon in their homeland (Mexico) where Standard Mexican Spanish is spoken and the Working Class English is demanded by their adopted host north of the border, America. Ultimately, the appropriation and assimilation of borderland Mexicans (Hispanic Americans) did not occur as did the Native American Indians or the African Americans that occupy the rest of the nation. However, these Hispanic Americans, who are considered second class in their native home (Mexico) and 3rd class by the U. S.For use many years use of the Spanish language declined in the Chicano Nation because of the immigration of Anglo-Americans and the brutal efforts of the U. S. imperialists to eradicate the Spanish language. Further analysis reveals, the link between language and identity with respect to c ommunity cohesiveness effects self- awareness. The focus of Gloria Anzaldua’s essay, â€Å"How to Tame a Wild Tongue,† focuses on the idea of losing an accent or native language to conform to the current environment. Anzaldua’s essay describe what it was for her, living in a English speaking nvironment, and not being an Anglo, combined with speaking Xicano Spanish and not true Spanish. Many Xicano parents did not pass the Spanish language on to their children, largely because upward mobility in America is directly connected to proper use of the â€Å"Queen’s English† with all its proper enunciations and cultural correctness’s. As substantiated in her piece she stated, â€Å"being caught speaking Spanish at recess—that was good for three licks on the knuckles with a sharp ruler and being sent to the corner of the classroom for talking back to the Anglo teacher when all I was trying to do was tell her how to pronounce my name.The Anglo teacher said, â€Å"If you want to be American, speak American, if you don’t like it, and go back to Mexico where you belong. † However by contrast, now this trend is reversing itself with the rise of Hispanic Americans, both born in the U. S. and the ones that were able to acquire U. S. citizenship. At one time, it seemed that the English language would replace Spanish as the common language of the Xicano Nation, this no longer appears likely. Anzaldua is arguing for the ways in which identity is intertwined with the way we speak and for the ways in which people can be made to feel ashamed of their own tongues.People no matter what race of culture needs a group of like kinds in which to identify their proud ethnicities and heritages. This tendency for oneness or sameness is demonstrated in an article published in the Colorado Gazette â€Å"A New Era in Race Relations? Real life say’s not so much†. William King, professor of Afro-American Studies of the University of Colorado-Boulder, â€Å"insist(s) it's just human nature to seek out people who look like them† he insists there's more to it: blacks and other minorities segregate themselves only because society has taught them that grouping together is the only way to stay safe.In support of this argument I contend that this feeling of being ashamed of one’s own native tongue is nothing less than marginalization, in order to appropriate the labor of the Hispanic Americans to keep them from assimilating into the American mainstream. In the 1960’s American society was influenced by movements that were fighting the political and social injustices of the time. The Xicano movement was no exception. During this time there were visible signs of â€Å"No Dogs or Mexicans Allowed† as well as a general sentiment of segregation based on race and economic class.As the movement started to progress in the Xicano (Hispanic) community, identifying with the term Chicano b ecame widely accepted. This is an evolutionary moment of the language. Although native Mexicans believe that the word Chicano is an ugly term to use when identifying one’s cultural background. To them, Chicano signifies a lower class of the Mexican. The term â€Å"Chicano† seemed to spring up out of very impoverished areas of the Mexican-American neighborhoods known as Barrios.Mexicans, as well as US culture connected the word Chicano with another term called Pachuco or Cholo. Despite the negative connotations and images the term sparks up youth and others (gang members) embrace being Cholo, to call oneself a child of the Mexica. In support of the position taken by Senora Gloria Anzaldua, I titled my piece â€Å"Machin Rifamos† which means â€Å"High achieving† and â€Å"We Rule†. Xicano dialect is an evolutionary event. With the rise of Hispanic Americans in every walk of American life, the â€Å"phoenix effect† is occurring.William Blaine Richardson, governor of New Mexico; Sonya Sotomayor Supreme Court Judge; Linda T. Sanchez U. S. congresswoman; with individuals that not only speak Xicano; need the support of this new powerful evolved group of Americans and potential Americans . The evidence is irreversible and ongoing. By the end of this century, Spanish speakers will comprise the biggest minority group in the U. S. , and the America that has been, conditioned by effortless assimilating, appropriating cultures and native people, miss the boat this time.

Thursday, January 2, 2020

Abnormal Psychology Chapter Mood Disorders - 5762 Words

Chapter 7--Mood Disorders and Suicide Key 1. Prior to the DSM-IIIR, conditions that are currently characterized as mood disorders were referred to by several different names, including all of the following EXCEPT: A. B. C. D. 2. depressive disorders affective disorders psychotic episodes depressive neuroses One of the symptoms of a mood disorder is called anhedonia, which means: A. a feeling of worthlessness B. an altered pattern of sleep C. indecisiveness D. an inability to experience pleasure 3. Mood disorders can range from mild to severe; the most severe type of depression is called: A. major depressive disorder B. dysthymia C. cyclothymia D. profound depression 4. Most episodes of major depression are time-limited,†¦show more content†¦Although grieving is considered a normal process it does sometimes become a psychological disorder. Which of the following cases would NOT be diagnosed as a pathological grief reaction? A. Mr. A experienced a death in his family. In addition to symptoms of depression, he has been having auditory hallucinations in which he hears other deceased people talking to him. B. Miss B. has experienced the death of a close friend. She is so depressed that she has no appetite, no energy and is suicidal. C. Mrs. C’s dog recently died. Three weeks later her friends suggest that she get another dog â€Å"to help her get over the loss.â€Å" Mrs. C. refuses and says she just isn’t ready to get another dog and besides, it would be impossible to replace her beloved â€Å"Toto.â€Å" D. Dr. D’s wife died a few months ago. Recently, in addition to his depressive symptoms, he has been having paranoi d delusions in which he believes that certain unnamed individuals are planning to remove his wife’s body from the grave. 25. Anhedonia is: A. loss of energy B. inability to engage in pleasurable activities C. inability to focus or concentrate D. loss of speech 26. 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