Mechanical Engineer

The concept of principal stresses and strains is an important factor in designing of everyday machine elements or components. It is an important factor for an engineering which help in manifest an element. The true understanding of this concept will come to you by imaging the following situation: Normal force applied on a cube Suppose we have a cube in space under Cartesian co-ordinates . Now you apply some force in a particular direction say in positive x-direction. The force we applied is of finite magnitude and for a significant amount of time so the the cube  is taken from its stable elastic region to plastic region. Now the cube is deformed in the direction of the applied force,i.e, the force was tensile in nature. In our case the only stress generated throughout the volume of cube is normal stress. Traction force applied on a cube Now suppose you have a cube fixed at one face and we are applying force parallel(traction force)on the face opposite to the fixed sid

Application of hoop or circumferential in thin spherical shells has prime significance in daily life. Pressurized gas filled in shell Image a spherical shell in which we have pumped a gas up to significant pressure. Due to this pressurized gas, the shell will undergo volumetric expansion and stresses will be developed.  Whenever we have to account for the stresses develop in any shape, we use a hypothetical cutting plane, to divided our object into sections and then examine the nature of stress developed in analytical method. However, for the experimental stress analysis there are in-numerous methods and each method can be exploited for determining specific forces. Expression: Sphere being cut into halves Consider a spherical shell with is cut into half using an imaginary cutting plane. Now the sphere is made into two halves and we analysis on one of the half. The stress will have two components. One component along x-axis and one along y-axis. We wi

In our daily life, either technical or non-technical field, we come across object with the dominant shape of a cylinder. Looking around our-self, there are innumerous cylindrical objects, so to study the behavior of this shapes under stress has become an important aspect. Expression Cylinder subjected to internal pressure Consider a cylinder of thickness t filled with pressurized gas exerting a force on the inner walls of the cylinder. Due to pressure exertion the block undergoes volumetric expansion and stresses are being develop. Specification of cylinder: Radius r, Diameter D Thickness t Length L Small element taken for further integration We consider a small element of the cylinder, analyze the forces acting on this element and integrating the resultant to get the total force. Length  of arc subtended from the center: r* 𝛅 θ Integral element under pressure Area of this element: (D/2)* 𝛅 θ * 𝛅L Small force