School Report Case Study Example | Topics and Well Written Essays - 750 words

School Report - Case Study Example Latin understudies aggregate up to 10% (NYC branch of instruction). The instructors that make up the staff have various degrees of capabilities and shifting degrees of the experience. Just 38% of the educators are those having experts or the doctorate qualification, as indicated by the insights of the year 2007. Regarding experience; just 15% of the instructors are having three years of experience. For this situation the school organization needs to take a shot at progressively employing the instructors with higher capabilities as doctorate and bosses capabilities. The instructors with more prominent encounters must be given need over the educators with lesser encounters' as at long last it impacts the understudies' learning procedure. The advancement on account of showing the subjects as maths and English is certain. On account of the understudies' exhibition, normal 60% of the understudies performed more prominent than the third level in the subject of English. Normal 80% of the understudies performed more noteworthy than the third level in maths. In science 78% of the understudies performed well. The better performing number of understudies can be expanded by in taking exceptionally qualified instructors. So the better execution is seen on account of maths just albeit other subject need more work (NYC branch of training). The enlistment number of the understudies, including the unique understudies' enlistment has diminished throughout the years. This shows the guardians are progressively worried about getting their youngsters conceded in better schools with better instructors as the guardians depend on those schools having the better and higher qualified staff (insideschools.org). The participation of the understudies is nearly a similar that is around 93%. This is the main point where the school organization has been performing well indeed. Generally, the quantity of the female understudies is somewhat more prominent when contrasted with the male understudies. In science and English language the exceptional understudies perform better when contrasted with the other racial gatherings. In the English language subject learning, 64% of the unique understudies out of all the racial gathering understudies performed well. In the subject of maths same was the situation seen that 44% of the specialized curriculum understudies performed well when contrasted with the 28% of the dark understudies execution in a similar case (insideschools.org). Notwithstanding the reports, there was an overview that was led. Out of the considerable number of guardians 25% of the guardians partook with 35 educators making up 48%. Since the most recent year the scores in various perspectives has expanded which incorporate the Academic Expectations, Communication and Safety and Respect. For each situation, the fulfillments from the guardians and the educators were higher and it was above half. Anyway on account of security and regard the school needs some work to be finished. Understudies' suspensions have expanded throughout the years. The fulfillment proportion of the guardians and the instructors is extremely less which implies that the order must be kept up better than anyone might have expected. The significant worry for the school ought to be to make changes in the manners they control the understudies in a disciplinary way (NYC division of training). On account of correspondence where the school organization makes the understudies and their folks mindful of the new changes being actualized on the school's condition

The Carnival Cruise Lines Today Tourism Essay Essay Example

Year of Wonders Essay

The plague draws out the best in the town. Do you concur? All through the plague year a significant number of the locals were influenced by the terrible hit of the plague. One of the principle topics in the novel ‘’fear’’ is something that profoundly influences the activities and can totally change their qualities and ethics. Dread which comes complimentary with the torment and can draw out the best and the most noticeably terrible in the residents. Times of emergency can draw out a beast in every last one of us, yet can a simply like jon said â€Å"these times they do make beasts of us all†lso yet occasions such as this can likewise draw out the good.As the plague hit Anna’s town absence of logical and clinical data lead the locals to make their own determinations and strange notions, of the plague. We see dread and feelings assume responsibility for the residents through the lynching of Anys Gowdie, by the furious horde. the crazed crowd whi ch blames Anys for black magic just represents the idea that confidence can dazzle individuals alongside dread. This occasion was inappropriate and awful. The locals were put under a perpetual condition of pressure and dread, which drove individuals to do some awful activities and carry on in insensitive ways.In her final words Anys reprimands the town and assaults them for their obliviousness instead of proclaiming an adoration for God, which may have spared her. Through these activities Brooks can investigate the quality of one’s convictions and ethics in troubling circumstances. Anna anyway isn't blinded by her confidence like a large portion of the locals and doesn't accept that the plague is a demonstration of God, or black magic and essentially reasons that it was welcomed on naturally. maybe the plague was neither evidence God nor the Devil yet straightforward a thing in nature as the stone on which we stub a toe† here Anna give her first indications of abandonme nt, question confidence and shows the improvement of her new attitude This complements how Anna is astute past her time and her rationale permits her to thrive in this tragic chain of occasions. Times of emergency and the plague can likewise draw out the great and gallant individuals like Anna, who are eager to help others and keep on keeping up their qualities and ethics regardless. Anna magnanimously attempts to help the town in everything she can never really battle the plague.Throughout the plague year Anna thrives. In spite of the awfulness of her two children and spouse passing she proceeds onward with her life and offer it to helping other people. anna builds up a feeling of personality and freedom and starts to step up over the male centric principles of ladies around then, scrutinizing her confidence and society. Emergency of the plague likewise achieved underhanded, alongside those individuals who misuse the circumstance of death, dread and languishing. Jos abuses the resi dents who are as of now enduring enormously, he covers individuals alive, takes their cash and family unit goods.He shows no respect for humankind in his corrupt conduct and is unmistakably determined by eagerness and his own childish wants. Dread and disaster can do numerous things to individuals. In Year of Wonders dread drew out the best and the most noticeably terrible in individuals. The residents dreaded demise and misfortune which was an amazing feeling. Times of emergency can change individuals and make beasts of us all. The tale shows how dread can misuse awful epople like Anna’s father and Jos. However, in others can draw out the best, and improve an individual.

Beowulf †Anglo Saxon Culture Free Essays

Beowulf’s Strength and Fearlessness Anglo-Saxon verse mirrors their way of life and life. Verse is a wide piece of their lives, and huge numbers of them went to the relatives through the informal. From numerous verse told, â€Å"Beowulf† would be a top of the line case of the Anglo-Saxon lives. We will compose a custom article test on Beowulf †Anglo Saxon Culture or on the other hand any comparative theme just for you Request Now â€Å"Beowulf† is a sonnet about a bold saint who hears stories of a fearsome monster that destroyed a realm. Beowulf, the primary character, as a courageous warrior, battles the brutes and recoveries the realm. Beowulf is valiant and solid. These qualities show the estimations of the Anglo-Saxon culture. Beowulf was â€Å"the most grounded of the Geats† and â€Å"greater and more grounded than anybody anyplace is this world† (lines 110-111). This demonstrates Beowulf was more grounded than any Anglo-Saxon men. Beowulf likewise acknowledges himself that he is solid as well. He says, â€Å"He would never abandon me, swim quicker/Across the waves than I could†¦Ã¢â‚¬  (274-275). He says this to demonstrate that he is most grounded everything being equal, and that nobody could beat him in anything. The significances in Beowulf’s remarkable physical capacities uncover the estimation of solidarity in the Anglo-Saxon culture. Among the Danes and Geats, Beowulf is adulated as the epic saint since he overcomes the wretched beasts, Grendel and his mother. Grendel and Beowulf would be all out contrary energies of one another. Grendel is the evil spirit who â€Å"snatched up thirty men, crushed them/Unknowing in their beds, and ran out with their bodies† (37-38). The individuals of Herot detested Grendel for his butchering. At the point when Beowulf slaughters Grendel, Herot gains opportunity from the evil presence. That fundamentally makes Herot love Beowulf for his great deed. Beowulf â€Å"struck with all the quality he had left,/Caught her in the neck and slice it through,/Broke bones what not. † (641-643) and â€Å"then struck off/His head with a solitary blow. † (663-665). The butcher of Grendel and his mom spared Herot from its proceeding of pitiful passings. Once more, Beowulf’s estimation of unbelievable quality uncovers the Anglo-Saxon culture. Beowulf was brave to the entirety of his adversaries and never lost a fight. He never relinquished any of them, and won triumph each time no nonsense. At the point when Beowulf initially shows up in Herot, he is approached to leave every one of his weapons. Beowulf says, â€Å"My master Higlac/Might consider less me on the off chance that I let my blade/Go where my feet were hesitant to, in the event that I covered up/Behind some expansive linden shield: My hands/Alone will battle for me, battle forever/Against the beast. † (170-175) Beowulf doesn’t need to resemble a frail legend by taking the entirety of his weapons, so he leaves his lances and fight shields behind. He doesn’t need his lord to consider less himself. Beowulf stresses his boldness by leaving the entirety of his weapons behind. The champion of Beowulf’s bravery shows an Anglo-Saxon trademark. Beowulf additionally shows his valor during the festival after Grendel withdraws with his arm cut off. Beowulf says, â€Å"When we crossed the ocean, my companions/And I, I definitely realized that all/My motivation was this: to win the positive attitude/Of your kin or pass on in fight, squeezed/In Grendel’s savage hold. Let me live in enormity/And mental fortitude, or here in this lobby welcome/My demise! (364-369) Beowulf says that he would prefer to bite the dust in Grendel’s hand on the off chance that he was unable to crush him. He doesn't dread to surrender his life in a fight in the event that he can’t win. This exhibits Beowulf isn't dreadful in any way, even before death. Beowulf’s activities toward death show valor, an Anglo-Saxon trademark. From the sonnet â€Å"Beowulf†, the fundamental ch aracter, Beowulf shows quality and valor, the attributes of the Anglo-Saxon culture when he initially shows up to Herot and when he overcomes Grendel and his mom. Step by step instructions to refer to Beowulf †Anglo Saxon Culture, Essay models

Letter of advice on how customer service in BA can be improved

I am writing to offer you some exhortation on how client assistance in BA can be improved. Your Chief Executive, Mr Willie Walsh, recommended I keep in touch with you since he was intrigued with my proposals about checking and assessing client support. The four zones I will concentrate on are: 1. Upgrades to quality 2. Unwavering quality 3. Upgrades to the association 4. Upgrades to workers There are numerous manners by which you can improve the nature of your administration in BA. Right off the bat I accept the presentation of additional staff preparing will profoundly profit your organization and thusly help improve your client support. For example all staff ought to be prepared to manage troublesome clients; this can be problematic to the customer base and besides make a negative picture for BA. In the event that all staff is prepared around there it will imply that methods can run easily and troublesome clients can be managed adequately. Just as this staff ought to be prepared in helping individuals with extraordinary needs, for example, older, incapacitated, or little youngsters. It is significant that they are dealt with equivalent to standard clients and treated with due consideration and consideration. This will stand out to your organization as individuals will realize that your organization is client centered and has significant levels of client support for a wide range of individuals. In addition you could present strategies, for example, the presentation of new principles that will set better standards from your staff. This can incorporate drawing closer whatever number clients as could be expected under the circumstances and inquiring as to whether they need any help with regions, for example, registration. This will improve client support levels as you can guarantee that everybody is adhering to the principles that have been set and thusly you can include more standards and guidelines that will guarantee that all staff is doing likewise all through your business. To every individual group you can set month to month focuses on, this will permit you to screen the segment and afterward make more targets you plan for them to reach. This will profit clients on the grounds that each gathering of individuals will have goals that they have to accomplish and will be checked all through their advancement to guarantee the best client care is given. As I proposed in a letter to your CEO Mr Willie Walsh, the utilization of riddle customers and overviews will exceptionally profit your organization as far as client assistance. These two techniques will recognize zones where there are issues and will permit you to place in the right measures so this can be improved. For instance if a puzzle customer recognized that the staff were disagreeable, this will mean you can set up preparing or potentially points and targets and permit you to fix this issue. This will make your client care progressively dependable on the grounds that it will imply that it is focused on specific viewpoints that have been called attention to as being under standard. Anyway it is additionally vital for the executives to concentrate on client assistance. This will assist keep with staffing cheerful as they realize that the administration care about the administration gave to clients and will thus urge them to receive a similar style. Just as this it can likewise improve levels of client devotion, this is on the grounds that clients will feel that they are being dealt with quite well and the staff are guaranteeing that the customer’s needs are satisfied to the most elevated guideline. This won't just lift the measure of return clients yet additionally give BA the notoriety of being client centered. This will likewise pull in clients that normally utilize different carriers expanding the notoriety of your business and thus the notoriety of BA will develop. This will prompt expanded deals as there will be a high volume of clients and thus this will make expanded benefits. At long last I trust it is basic that you prepare and build up your staff as this will permit you to pick up the most from them. It will improve the degrees of client assistance they give, and imply that they are increasingly sure with their activity jobs. Furthermore they will be propelled to try sincerely and self assess their presentation. Assuming every single individual from staff does this it will improve the entire of BA’s execution and cause it to turn into a progressively effective organization. For example if an individual from staff has been prepared in client care, they will be certain when speaking with the client and giving data, (for example, ticket data, things data), when they are decidedly compensated by the client (through language and articulation) they will feel roused to work much harder and will get reproachful of their own work and ensure it is to the best quality, and on the off chance that not, at that point attempt to improve it. This will imply that staff will continually attempt to accomplish as well as can be expected and offer superb assistance. In correlation, an individual from staff who has not been prepared in client care will be uncertain about the manner in which they should converse with the client and will in this way feel unconfident with the work they are being approached to do. This will prompt them not being propelled to buckle down which will make the nature of their work much more dreadful. All things considered this will imply that BA is being spoken to seriously through its staff.

Writing Essay Helpers - How to Find One

Writing Essay Helpers - How to Find OneWhile many writers are trained to do research, outline and proofread, a good essay helper can be the best of friends. This is a person who can find your problems, problems in writing, and go over your work for you. You need to be a good reader to be able to think on your feet and make changes to your essay.A good essay helper can also help you in planning your arguments and in selecting a topic. You may have a very well thought out essay, but if it doesn't have a solid foundation, there will be nothing behind it to get your reader to buy what you are selling. But how do you find one? The internet is one of the most valuable resources. First, ask around and see who else has used an essay helper. If you don't feel comfortable asking others about it, then check the major search engines. For example, if you type 'how to write an essay', your search engine will pull up a number of articles that give information on writing an essay. You may be surpris ed how many there are.Another way to find an essay helper is to check out what other people are saying about them. Just Google essays and essay helpers and see what you come up with. There is also the professional website, Writers Central, which lists several professionals who work with different types of people to help them with their essay writing.The essay help you get from your college or employer will be limited. However, you can use your imagination to help yourself out. Try writing out a list of topics and giving them to someone who can help you with your essay. Then give them a brief description of the essay topics and the techniques used to support them.You can also search the world wide web for free sample essays written by essay helpers. These include essay review, essay editing, and essay writing. As you are looking through them, compare your writing style with theirs. You will see that they follow similar structures and similar standards. Your main goal is to strike a b alance between what they provide you with and what you want to write.You will find a good essay helper on several sites and get a free sample from them. Try reviewing it carefully. You will be surprised at how much help you will get.If you are not getting the help you need, try another free sample. This time try reading more of it, but keep in mind to see if you feel the same as the writer. You should quickly find a good essay helper.

Axial stresses - Free Essay Example

An analysis of the state of stresses generated by torsion in twisted non-circular bars Abstract One of the main problems that must be solved in the design of the machine components stressed in torsion is to establish their optimum shapes and dimensions in order to resist for a given twisting load. Also, in the case of some parts (crankshafts, ornamental bars, blades of screw propeller for torpedoes) manufactured by using plastic torsion as technologic operation the designer must determine the needed deformation energy. An important factor that has a direct implication on the designing methodology and on the resistance to torsion of these components is the state of stress generated by the twisting load application. Usually, the components that transmit or must support twisting moments are circular or tubular in cross-section, but in certain cases components with other than circular sections can be used. The present paper reviews the main aspects concerning the state of stress generated by elastic and plastic torsion in non-circular bars. Keywords: Torsion; State of stress; Shearing stresses; Axial stresses; Non-circular bars 1. Introduction By considering a non-circular bar stressed in torsion, the following effects generated by the twisting load application are emphasized by the Theory of Elasticity in the twisted bar: the helical orientation of the initially straight fibres, especially, for large angles of twist; the warping of the plane cross-sections; the change in length of the material fibres and differences in length from a deformed fibre to another; the modification of the initially right angle between the deformed fibre and the section normal to it. One of the main factors that generates or influences these effects is the state of stress, which occurs in bars during torsion. Relating to this state of stress generated by torsion, the Theory of Elasticity and Plasticity discusses, generally, about the shearing stresses that act on the cross-sections of the twisted bars. 1.1. Remark The solutions for the problems concerning the shearing stresses magnitude and distribution on the cross-sections of elastic, elastic-plastic and plastic twisted bars, circular or non-circular in cross-section, can be found in Refs.[1],[2],[5],[6],[8],[9],[10],[11],[12],[13],[14],[15],[16],[17]and[18]. Some authors analyzed the possibility that axial stresses to be developed in certain conditions in the twisted bars. Thus, an experimental analysis concerning the development of axial stresses during hot torsion tests, for the case of round samples twisted for different ranges of temperature, is presented in Ref.[7]. According to the obtained results it has been concluded that hot torsion develop in twisted bars axial stresses whose distribution and magnitude depend on temperature range. Some aspects relating to the generation of axial stresses in the twisted non-circular bars are also discussed in Ref.[3]. The knowledge of the values and distribution of the stresses in a twisted bar is of a great importance for the designing and manufacturing processes of different machine components. Thus, by knowing the maximum value and the distribution of the stresses on different sections, the designer can establish an optimum shape of the component section can determine the optimum dimensions of the machine components and can verify certain sections of the bar stressed by torsion. Also, the knowledge of the stresses value and distribution will permit to determine the deformation energy needed to manufacture different parts by using torsion as technologic operation. On the other hand, the knowledge of the state of stress due to torsion will permit to elucidate different phenomena that occur in the twisted bars. Concerning the state of stress generated by torsion in the twisted non-circular bars, the present paper addresses the following questions: 1. What is the real state of stresses generated by torsion in a non-circular bar? 2. What is the variation of the stresses on the cross and longitudinal sections of the twisted non-circular bars? In answer to these questions, the paper performs an analytical analysis concerning the shearing stresses distribution and, based on some theoretical suppositions or experimental investigations, discusses the possibility that the axial stresses to be generated and developed in the twisted non-circular bars. 2. Shearing stresses distribution on different cross-section shapesa review According to the Theory of Elasticity and Plasticity related to torsion, the state of stress on the cross-section of a twisted bar is characterized by the following general properties[2],[3],[6],[10],[13]and[17]: in the case of elastic torsion, the state of stress in an arbitrary point of the section corresponds to the state of pure shear and the shearing stress vector reaches its maximum value on the section contour; in the case of elastic-plastic torsion, the following two regions can be distinguished on the cross-section of bar: an elastic region, located in the close proximity of the axis of bar, where the Hookes law is valid at any point and the stress distribution presents similar aspects like in the case of elastic torsion; a plastic region, which starts when the shearing stress reaches the yield valuekand satisfies the condition of plasticity expressed by the relation: wherexzandyzare the non-zero components of the shearing stresses resultant andmaxis the maximum value of the shearing stress; in the case of fully plastic torsion, by considering that the whole section is in yielding state, the shearing stress vector is constant in magnitude and its direction is perpendicular to the normal on the contour of the plastic region. The distribution and the magnitude of the shearing stresses present different aspects as a function of cross-section shape and dimensions. This paragraph analyses the main aspects concerning the shearing stress distribution on the most frequently used non-circular sections. 2.1. Sections having curvilinear contours In the case of a solid elliptic cross-section, having the semi-axesaandband stressed by the twisting momentT( 1), the distribution of the shearing stresses presents the following aspects[1],[6],[13],[14]and[15]: the resultant of the shearing stresses can be calculated by using the following relation: the two components of the shearing stress vector (xz,yz) have a linear variation along the Oxand Oyaxis, these components and their maximum values being expressed by the following relations: the maximum stress will occur on the elliptic contour in the point closest by the axis of bar atx=a,y=b, its value being given by the relation: whereis the angle of twist per unit length andGis the transverse modulus of elasticity. From the diagram shown in 1, we can observe that the maximum value of the shearing stress is reached in the pointsBandDwhere it is equals toxz. the components of the shear stress vectorxzandyzare equal to zero on the Oyand Oxaxis, respectively; if we consider the ratio between the two components of the shearing stresses vector we obtain the following relation: this relation expresses the fact that on an arbitrary direction OM the shearing stress vector has a constant direction. Plastic yielding will occur at the extremities of the minor axis of the ellipse whenmax=k, the corresponding twisting moment being equal to: In the case of an elliptic section having an elliptic hole ( 2), the shearing stresses variation presents the same aspects like in the case of the solid elliptic sections[11]. By considering a section having a shape in the form of an inverse ellipse ( 3), the components of the shearing stress vector will be given by the following relations: xz=2GcsinuF1,yz=2GccosuF2, whereF1andF2are functions that depend onkand on the real parametersuandv[11]. In the case of a lobe keyed section ( 4), by using a conformable transformation, the shearing stress components can be obtained from the following relation: zbeing a complex variable[11]. In the case of a section in the form of a curvilinear triangle ( 5), the maximum shearing stress occurs in the point located at the middle of the triangle side and has the following value: max=1.15Ga, abeing the triangle side[2]and[9]. 2.2. Sections having contours formed by straight sides In the case of a section in the form of equilateral triangle, having the heighthand the equations of its sides given by:View the MathML source, the distribution of the shearing stresses on the section shown in 6presents the following aspects[1],[2],[6]and[8]: the stress vector components can be calculated using the following relations: the maximum intensity of the shearing stress vector will be reached at the middle of the triangle sides and it can be determined using the following relation: whereais the size of the triangle side. Yielding will start to set in when the shear stress vector reaches the intensitykand the twisting moment becomes equal to: the fully plastic twisting moment can be calculated using the following relation: In the case of a rectangular cross-section, the distribution of the shearing stresses presents the following particularities[5],[12]and[15]: the maximum shearing stress occurs at the middle of the longest side, its value being given by the relation: wherebandaare the dimensions of the cross-section (bbeing the longer side) andmis a factor given in tables as a function ofbanda; the distribution of the shearing stresses on the cross-section is shown in 7; we can observe that at the middle of the smaller side the shearing stress is equal to: xzmax=yzmax, being a coefficient also given in tables as a function of ratiob/a. for a given twisting moment and cross-section area, the maximum shearing stress reaches its smallest value in the case of dimensions leading to the smallest polar second moment of area; for a narrow rectangular cross-section[8],[10]and[18], according to equationxz=2Gx, the shearing stress is linear inx; its maximum value occurs at a/2 ( 8) and is given by the relation: yielding starts at the midpoint of the longer sides when the applied twisting moment becomes equal to: the fully plastic twisting moment is given by the following formula: In the case of a square cross-section[1],[8]and[10], by using a harmonic stress function, the maximum shearing stress will be given by the following relation: abeing the square side andAan expression equal to the yielding starts at the midpoint of the square sides when the stress vector reaches the intensityk; in the case of fully plastic torsion, the twisting moment can be calculated using the following relation: 3. Aspects concerning the possibility that axial stress to be generated by torsion Let us consider the particular case of a rectangular bar stressed in torsion by applying the twisting moment at its both ends. After the twisting load application, we can observe the following effects generated by torsion in the twisted bar: the main effect of the twisting load application will be the helical orientation of the initially straight longitudinal edges of bar ( 9a) and hence the change of their length[4]. Thus, by examining the half of a longitudinal section of bar as non-deformed ( 9b) and deformed after its twisting ( 9c) we can remark the following aspects: the initially straight edge AA of the rectangle OAAO will occupy the new position AA, after its helical orientation around a cylindrical surface of radiusR=OA=OA; the helical orientation of the edge AA will determine the modification of its length from the initial valueL0=LAAto the valueLAA=LAA+LA, where LAis the elongation of the edge of bar; the value of the elongation can be calculated using the following formula: whereRis the radius of the cylindrical surface described by the points of edge during torsion,L0the initially length of edge andnis the number of complete rotations of the ends of bar. 3.1. Remark From relation(21), we can observe that the elongation and the changes in length of the edge depend on the applied angle of twist, the position of the edge in comparison with the neutral axis of bar and the dimensions of bar. in the frame of the same rectangle OAAO, we consider now the side MM which after its twisting will become the helix MM folded around a cylindrical surface of radius OM=OM. From the evident inequality OMOA, we can conclude that the length of the helix MM is smaller than the length of the helix AA (LAALMM). Hence, it results that the changes in length of the rectangle sides or edges of bar depend on their position in comparison with the neutral axis of bar. By this point of view, we can divide the longitudinal section of bar in the following two regions as deformed after twisting: the region from the neutral axis and its neighbouring, where the elongation of the rectangle sides presents the smallest values and becomes equal to zero for the neutral axis; the region from the periphery of section, where the elongation of the rectangle sides presents the greatest values. Hence, we can suppose that the region from the neutral axis of bar, where are registered the smallest deformations, will oppose to the tendency manifested by the peripheral region to be elongated under the action of the twisting load. By examining the internal macrostructure on the etched longitudinal section of a square bar, made in low carbon steel and cold twisted with an angle of twist per unit length equal to 9.42102radmm1( 10), we can observe the presence of two distinct regions as deformed in the axial direction. The first region is located in the close proximity of the axis of bar and represents the rolling core, initially present in the non-twisted bar. In this region, the material will oppose to the tendency of bar to be deformed under the action of the twisting moment and hence minimum torsional deformations and the tendency to contract the material fibres will be registered. The second region is located in the peripheral zones of bar, where maximum torsional deformations and considerable elongation of the material fibres will take place. The above-presented aspects are confirmed by analyzing the variation of the material hardness determined in these two regions after one complete revolution of the ends of bar; thus: in the region from the neutral axis of bar, the hardness increases from a value equal to 196 HB before twisting till a value equal to 212 HB after twisting; in the region from the periphery of bar, the hardness increases from the value equal to 207 HB before twisting till a value equal to 230 HB after twisting. The differences between the values of the material hardness from the periphery and the neutral axis of bar can confirm the presence of these two distinct regions as deformed in the axial direction after twisting. Let us now consider two longitudinal edges of the same outer face of a rectangular bar, the first AA that represents the edge of bar and the second NN placed at the middle of the face ( 11). We can remark that, because these edges will be folded during torsion around cylindrical surfaces of different radii (OA and ON, respectively), the resulted helixes will present different lengths (LNNLAA). The above-presented aspects concerning the effects of torsion in the axial direction of non-circular bars can lead to the following conclusions: The modification of the length of bar edges during torsion and the differences in length resulted between the generated helixes indicate and determine the development of axial deformations and stresses in the twisted non-circular bars. 3.2. Remark The aspects relating to the generation and distribution of the axial stresses in the round bars twisted over the yield limit of material are analyzed in[7]. The analysis proves that the axial stresses can be tensile or compressive depending on temperature and material properties. The main cause that determines the appearance of the compressive stresses is attributed to grains deformation, which has a maximum intensity at low temperatures and at the beginning of the deforming process. The slipping of the grains, which has a maximum intensity at high temperatures and at the end of the deforming process is considered the cause that determines the appearance of the tensile stresses. The opposite tendencies manifested between the outer and inner regions of a non-circular bar indicate the generation of two opposite axial stresses in these two regions: tensile in the peripheral region and compressive in the region from the neutral axis. The differences in length resulted between the deformed longitudinal edges from the outer surface of bar and the variation of their elongation as a function of their position in comparison with the neutral axis of bar can explain the warping of the non-circular sections. These differences can, also, indicate the possibility that the distribution of the axial deformations and stresses to become non-uniform on the longitudinal sections of the twisted non-circular bars. 4. Discussion The distribution of the shearing stresses on the cross-section of the twisted bars is imperative to be known because: the values of these stresses are used in design to determine the shape and dimensions of the section of bar; the shearing stresses distribution and value have an important contribution and influence on different phenomena that occur in bar during torsion. The main aspects concerning the shearing stress variation emphasized by the above-presented analysis are as follows: on the cross-section of twisted non-circular bars only shearing stresses will occur and act; these stresses will determine a state of pure shear. the variation of the shearing stresses depends, generally, on the cross-section shape; thus: in the case of an elliptic section, the shearing stresses resultant has a constant direction that is parallel to the direction of the tangent to the boundary where it is cited by the considered radius; in the points of a given diameter the stresses resultant has a linear increase as we move away from its origin. in the case of rectangular, square and triangular sections the variation of the shearing stresses is non-linear on all the directions and depends on the section shape and dimensions. the shearing stress vector attains its maximum value on the contour of cross-section indifferently of its shape; the maximum intensity of the shearing stress vector will be reached in different points of the contour as a function of cross-section shape and dimensions; thus: in the case of an elliptic section, the maximum shearing stress will occurs at the extremities of the minor axis of the ellipse; in the case of a rectangular bar the maximum shearing stress is reached at the midpoints of the longest sides; in the case of an equilateral triangle the maximum shearing stress will occur at the midpoints of the triangle sides. Generally, the shearing stress decrease in the sense of displacement from the outer contour of cross-section to neutral axis and reach the zero value in the point located on the neutral axis. But, as a function of cross-section shape, the zero value of the shearing stress can be also reached and in other points of the cross-section. Let us consider the corner of a rectangular bar ( 12) and an element of area located in the close proximity of this corner. We can observe that, because on the lateral surface of bar the stress componentsxy=zy=0 are equal to zero, the shearing stress componentsxz,yzwill be, also, equal to zero. Hence, we can conclude that, for a polygonal section, the shearing stresses are equal to zero in the close proximity of the corners. From the above-mentioned effect of torsion concerning the modification of the angle between the longitudinal edge and the cross-section edges of a rectangular bar (initially right angles), we can remark the following aspects: the modification of this angle is smaller in the close proximity of the bar edge and greater near the longitudinal axis of the bar face, and, hence, the modification of the cross-section contour will take place. by examining the internal macrostructure of the material on an etched square cross-section ( 14), we can distinguish two regions as deformed in the transverse plane: the first region is located in the close proximity of the axis of bar and represents the rolling core, initially present in the non-twisted bar; the second region is located in the peripheral zones of bar. The irregular shapes of these regions point out that for large angles of twist the deformation on the cross-section can become non-uniform. By taking into account these aspects concerning the non-uniform deformation of cross-section, we can conclude that, in certain conditions, the shearing stresses can become non-uniform distributed on the cross-section of the twisted non-circular bars. The axial stresses can occur during torsion of the non-circular bars and can be generated by the modification in length of the longitudinal sections. These stresses can be tensile or compressive as a function of position of the longitudinal section in comparison with the neutral axis of bar. Thus, on the peripheral sections of bar the tensile stresses will occur and on the inner sections the compressive stresses will act. In certain conditions, the axial stresses can present a non-uniform distribution on the same longitudinal section or between different sections of bar as a function of their position in comparison with the neutral axis. 5. Conclusions The general theory of elastic or plastic torsion, when discusses about the state of stresses generated by torsion in the twisted bar, take only into consideration the shearing stresses that occur on the cross-section. According to the above presented aspects and suppositions, the complete state of stresses generated by torsion in the twisted non-circular bars must consider not only the shearing stresses on the cross-sections but also axial stresses, compressive or tensile, on the longitudinal ones. The development of axial stresses (tensile or compressive) in the twisted non-circular bars can explain the changes in the length (elongations or contractions) that take place during torsion in the case of bars unconstrained from the axial displacement. Hence, the knowledge of the distribution and values of axial stresses that occur during torsion will permit to determine the precise length of the semi-parts used to manufacture different mechanical components using torsion as technologic operation.