solution theory of machines r s khurmi
- andreyivanov101
- Oct 8, 2021
- 2 min read
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What is Solution Theory of Machines? It is the study of the work done by forces acting on parts in contact. It also elucidates how to generate work by forces acting on parts in contact. This theory allows us to discuss the work done for given quantities of movement and other data, or vice versa. And it not only deals with frictionless surfaces but also with rough surfaces where friction plays an important role. Solution theory deals only with the work done by contact forces; it deals with the energy required to bring a body to equilibrium. It helps us understand why some machines wear out quickly and others last long. It also helps in understanding the performance of machines that produce work (mechanical power) or perform work (mechanical power). Solution Theory is a part of Engineering Science, which covers the different types of forces acting on parts in contact and how these forces affect motion. These forces include gravity, friction etc. They are discussed here in detail under Forces section. It is a successful scientific pursuit for understanding various phenomena occurring in nature and engineering context. It deals with the study of forces in nature and engineering. It is used in mathematical formulation of problems related to engineering sciences. What do we mean by work done? Let us consider a machine body in equilibrium or any mechanical system in which the forces acting on the body are zero. Let there be a force acting on this body, when it moves away from its equilibrium position & it works on this body when it moves back to its equilibrium position again. The work done by this force is called out-of-equilibrium internal energy or work done by force while moving away from equilibrium position to another equilibrium position. This work done by the system is called external energy, due to which there is change in internal energy of system i. e. Work. Let this force F act on a body B from its equilibrium position i.e., from its rest position, say, A to any other position i.e., from B to C or from B to D & work done by this force is equal to F·B"2". This is called work done by a force which is applied in moving an object (Internal energy of the system) A distance equal to twice "a distance between A and B". Therefore work done by mechanical forces on an object can be defined as the fourth integral of the displacement of the object in the direction of application of force. So total work performed by all forces acting on one body (i.e. on an object) is equal to the work performed by a force, which consists of two components: the first is [½] [½] [1] [1] [3] and second is - [½]- [½]- 1- 1 "2"... Now we shall give a simple example of solution theory. Suppose we have a bar M P 30 cm long. The forces acting on it are weight W mg and friction P N . The following data will be required: Weight : W = P kg = 60 N, f = 9. eccc085e13
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