Digital content of applied mechanics
- 1. INTRODUCTION OF APPLIED MECHANICS CIVIL 3RD SEM DIGITAL CONTENT
- 2. Applied mechanics • Applied mechanics describes the behavior of a body, in either a beginning state of rest or of motion, subjected to the action of forces. Applied mechanics, bridges the gap between physical theory and its application to technology.
- 3. MECHANICS • MECHANICS The branch of applied mathematics dealing with motion and forces producing motion. Statics Statics deal with the condition of equilibrium of bodies acted upon by forces. Dynamics is the study of forces on moving bodies
- 4. ENGINEERING APPLICATIONS • Applications of the equations of static equilibrium • Plane trusses • Space trusses and shear force and bending moment diagrams • Cable support systems • Coulomb friction and belt friction
- 7. CONCEPT OF RIGID BODY • A rigid body is defined as a definite quantity of matter, the parts of which are fixed in • position relative to each other. Physical bodies are never absolutely but deform slightly • under the action of loads. If the deformation is negligible as compared to its size, the • body is termed as rigid.
- 9. Laws of forces • Forces definition, physical power or strength possessed by a living being: He used all his force in opening the window • Point load that is also called as concentrated load. • Distributed load • Coupled load
- 10. • Point load is that load which acts over a small distance. Because of concentration over small distance this load can may be considered as acting on a point. Point load is denoted by P • Distributed load is that acts over a considerable length or you can say “over a length which is measurable. Distributed load is measured as per unit length.
- 11. EFFECT OF FORCE
- 12. Characteristics of force • Force can introduce motion in a body. • Force can change direction of a moving body. • Force can change size of an object. • Force is a vector quantity. • Force can stop a moving body. • Force has a unit of Newton(N) in M.K.S system and dyne in C.G.S system.
- 13. FORCE SYSTEM
- 14. Principle of Transmissibility • The principle of transmissibility states that the point of application of a force can be moved anywhere along its line of action without changing the external reaction forces on a rigid body. • principle of superposition. ... Also known as superposition theorem. (mechanics) The principle that when two or more forces act on a particle at the same time, the resultant force is the vector sum of the two.
- 15. Method of composition of forces • Method of Resolution is the most commonly used method to calculate resultant of many forces acting on a body. In Method of Resolution we divide the forces into two components one along X-axis and the other along Y-axis
- 16. LAW OF FORCES • 1TRIANGLE LAW OF FORCES • If two forces acting at a point are represented in magnitude and direction by the two adjacent sides of a triangle taken in order, then the closing side of the triangle taken in the reversed order represents the resultant of the forces in magnitude and direction.
- 18. The law of parallelogram • The law of parallelogram of forces states that if two vectors acting on a particle at the same time be represented in magnitude and direction by the two adjacent sides of a parallelogram drawn from a point their resultant vector is represented in magnitude and direction by the diagonal of the parallelogram drawn from the same point.
- 20. Free-body diagram • Free-body diagrams are diagrams used to show the relative magnitude and direction of all forces acting upon an object in a given situation. A free-body diagram is a special example of the vector diagrams that were discussed in an earlier unit. These diagrams will be used throughout our study of physics
- 21. Equilibrant force • An equilibrant force is a force which brings a body into mechanical equilibrium. ... Therefore, an equilibrant force is equal in magnitude and opposite in direction to the resultant of all the other forces acting on a body.
- 22. Lami's theorem • Lami's theorem states that if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces. Consider three forces A, B, C acting on a particle or rigid body makingangles α, β and γ with each other
- 24. CONCEPT OF MOMENT Moment of force is the tendency of a force to twist or rotate an object. The SI unit for moment is the newton meter (kgm^2s^-2). The Principle of Moment states that when a system is in equilibrium the sum of its CLOCKWISE MOMENTS equals the sum of its ANTICLOCKWISE MOMENTS.
- 25. Varignon's theorem • The moment of the resultant of two concurrent forces with respect to a centre in their plane is equal to the alzebric sum of the moments of the components with respect to some centre.
- 26. THE END THANK YOU PREPARED BY WARISH KHAN SUKEDIYA PH.D SCHOLAR