Strength of Material Essay Example | Topics and Well Written Essays - 1000 words

Strength of Material - Essay ExampleStress can be defined as the compact acting on a given area. This is mathematically represented asRobert hook investigated the behavior of material under tensile force and found go forth that the extension on materials was proportional to the applied load. This is called the hooks law. Hooks law apply up to the viscoelastic limit. Continued application of load beyond the elastic limit results to the material becoming plastic, That is, its elongation is not proportional to the applied load and does not regain its original shape once the force is removed.The construct of stress was introduced by Cauchy in 1822 Cauchy found out that a body was subjected to surface and internal forces. These caused the deformation on the body. When stress is uniformly distributed over the cross-section(a) area of a body, it can be calculated development the formula (1), however, the stress is not uniformly distributed. Cauchy calculated the state of stress at a giv en point and found it to be given by the second order tensor given below.Another version of the Mohr stress heap is using the opposite approach method. The Mohr stress circle can besides be used for the determination of stress in the three dimensional plane. A special Mohr circle is drawn to calculate the nominal and shear stress in the three dimensional plane. ... Are the normal stresses. Where Are the shear stressesStress can also be calculated using the Mohr stress circle this is the graphical representation of the stress. The diagrammatic representation of the Mohr stress circle is as shown belowFig 1 showing the Mohr stress circleAnother version of the Mohr stress circle is using the polar approach method. The Mohr stress circle can also be used for the determination of stress in the three dimensional plane. A special Mohr circle is drawn to calculate the nominal and shear stress in the three dimensional plane. Other methods used in the determination of stress include the Bi ot stress tensor and the Kirchhoff stress tensor (Dieter, 1989).In general the determination of stress using the graphical methods was laborious and complex, one required a lot of skills to draw these circles and determine the normal and shear stress. The method had many mathematical errors. These methods fuddle for the most part been replaced by computerized material strength analysis (Marsden & Hughes1994). Current methods for the evaluation of stress include the use of softwares. Softwares such as AutoCAD and solid works enable engineers to have a detailed analysis of the behavior of the designed product under loading. This helps in developing products that dont fail easily. Another program that is widely used is the impermanent element analysis program. It enables the graphical representation of a designed engineering component under load. ReferencesDieter, G. (1989). Mechanical Metallurgy. New York McGraw-Hill.Ferdinand, P. (1992). Mechanics of Materials. New York McGraw-Hil l ProfessionalMarsden, J. & Hughes, T. (1994). numerical Foundations of Elasticity. New York Dover