Senin, 28 Maret 2011
Engineering Mechanics Statics
Introduction
Engineering statics is often the first topic of study, within the more general discipline of engineering mechanics. It is fundamental (but not limited to) most branches of engineering, including aerospace, aeronautical, civil, electrical, and mechanical engineering. It is also the basis for more advanced study in dynamics, vibration, and mechanics of materials within civil engineering, engineering mechanics, and mechanical engineering.
Engineering statics is often the first topic of study, within the more general discipline of engineering mechanics. It is fundamental (but not limited to) most branches of engineering, including aerospace, aeronautical, civil, electrical, and mechanical engineering. It is also the basis for more advanced study in dynamics, vibration, and mechanics of materials within civil engineering, engineering mechanics, and mechanical engineering.
Prerequisites
Prerequisites for studying statics include a background in calculus and engineering physics. Students will make use of the mathematical principles learned in calculus and analytical geometry, as well as the classical mechanics principles studied in physics. In reality, much of statics is an extension of physics principles applied to engineering structures.
Prerequisites for studying statics include a background in calculus and engineering physics. Students will make use of the mathematical principles learned in calculus and analytical geometry, as well as the classical mechanics principles studied in physics. In reality, much of statics is an extension of physics principles applied to engineering structures.
Definition
Engineering mechanics statics is a fundamental building block to a clear understanding of forces and motion in real-world engineering applications. Statics deals with of the forces and interactions that occur in rigid bodies that are in static equilibrium. It is the analysis of how two and three-dimensional simple structures react and support applied loads.
Engineering mechanics statics is a fundamental building block to a clear understanding of forces and motion in real-world engineering applications. Statics deals with of the forces and interactions that occur in rigid bodies that are in static equilibrium. It is the analysis of how two and three-dimensional simple structures react and support applied loads.
Topics of Study
During the study of statics, the student will learn how to resolve forces, moments, and couples to achieve equilibrium in stationary structures. The calculation of centers of gravity, properties of plane areas, and moments of inertia will form the basis for further study in dynamics and engineering mechanics of materials. Additional topics include vector analysis, particle equilibrium, distributed forces, and internal forces in structural members. Finally, the analysis of friction in structures, and the concepts of virtual work typically conclude the study of engineering statics.
During the study of statics, the student will learn how to resolve forces, moments, and couples to achieve equilibrium in stationary structures. The calculation of centers of gravity, properties of plane areas, and moments of inertia will form the basis for further study in dynamics and engineering mechanics of materials. Additional topics include vector analysis, particle equilibrium, distributed forces, and internal forces in structural members. Finally, the analysis of friction in structures, and the concepts of virtual work typically conclude the study of engineering statics.
Vector Analysis (Vector Mechanics)
Vector analysis is a critical skill that will be used throughout the study of engineering statics. It is often convenient to resolve a single force into two distinct forces. Known as components, these forces, when acting together, have the same external effect on a body as the original force (the resultant). This process is derived from the study of physics, and is called vector analysis or vector mechanics. When forces are being represented as vectors, it is important to show a clear distinction between a resultant and its components. The resultant could be shown with color or as a solid line and the components shown as dashed lines, or vice versa.
Vector analysis is a critical skill that will be used throughout the study of engineering statics. It is often convenient to resolve a single force into two distinct forces. Known as components, these forces, when acting together, have the same external effect on a body as the original force (the resultant). This process is derived from the study of physics, and is called vector analysis or vector mechanics. When forces are being represented as vectors, it is important to show a clear distinction between a resultant and its components. The resultant could be shown with color or as a solid line and the components shown as dashed lines, or vice versa.
Free Body Diagrams (FBD's)
Experience has shown that drawing Free Body Diagrams (FBDs) is the most important skill needed for solving engineering mechanics problems. By emphasizing the importance of visual analysis, text discussion, and homework problems, students will learn that drawing free body diagrams will greatly benefit their engineering education. Further study in dynamics and mechanics of materials is strongly tied to the concept of free body diagrams.
Experience has shown that drawing Free Body Diagrams (FBDs) is the most important skill needed for solving engineering mechanics problems. By emphasizing the importance of visual analysis, text discussion, and homework problems, students will learn that drawing free body diagrams will greatly benefit their engineering education. Further study in dynamics and mechanics of materials is strongly tied to the concept of free body diagrams.
Simple Structures
In engineering mechanics, an arrangement of rigid members connected in specific patterns is called a structure. A bridge, a communication tower, and the frame of an automobile all are considered structures. Simple structures include plane and space trusses, beams, frames, and machines. These simple structures are the types that are studied in engineering statics. For instance, the method of joints is a method that is used to determine the forces in each member of a simple truss or space frame.
In engineering mechanics, an arrangement of rigid members connected in specific patterns is called a structure. A bridge, a communication tower, and the frame of an automobile all are considered structures. Simple structures include plane and space trusses, beams, frames, and machines. These simple structures are the types that are studied in engineering statics. For instance, the method of joints is a method that is used to determine the forces in each member of a simple truss or space frame.
Instructional Aids
There are many instructional aids that can help the student or engineer understand the principles of engineering mechanics statics. Example problems and homework are probably the best teaching aid because they illustrate the application of fundamental theory to practical engineering problems. Graphical methods of force resolution were developed before the turn of the century, but are still applicable today. Photos that show the connection between physical situations and their mathematical simulations are very helpful. Video and tutorial animations that are available online illustrate statics in a unique teaching format. Optional MATLAB and MathCAD worksheets online are also helpful, as well as solution manuals
There are many instructional aids that can help the student or engineer understand the principles of engineering mechanics statics. Example problems and homework are probably the best teaching aid because they illustrate the application of fundamental theory to practical engineering problems. Graphical methods of force resolution were developed before the turn of the century, but are still applicable today. Photos that show the connection between physical situations and their mathematical simulations are very helpful. Video and tutorial animations that are available online illustrate statics in a unique teaching format. Optional MATLAB and MathCAD worksheets online are also helpful, as well as solution manuals
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