Couple 136
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This presentation defines a couple as a system of two parallel forces that are equal in magnitude but opposite in direction and separated by a perpendicular distance. It provides the expression for calculating the magnitude of a couple as the product of one of the forces and the perpendicular distance between them. Some key properties discussed are that a couple produces rotational but not translational movement and has a resultant moment but not force. Examples of how couples apply to reinforced and pre-stressed concrete are also provided.
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Engineering Mechanics Pdf
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Unit 1 sem one-SI UNITS AND STATICS
This document discusses fundamental concepts in engineering physics including SI units, statics, vectors, forces, moments, and couples. It defines scalar and vector quantities, explains the parallelogram law of forces and Lami's theorem for resolving forces. Examples are also provided to illustrate concepts like finding the resultant of two forces and calculating torque.
Fundamental of Statics (Part 3)
This document outlines topics to be covered related to coplanar non-concurrent forces in a Fundamentals of Machine Design course. It will cover: the moment of a force, couples, characteristics of couples, equivalent couples, force-couple systems, Varignon's principle of moments, and the conditions of equilibrium for coplanar non-concurrent forces. Examples will also be provided. The document lists the learning objectives for each topic and provides explanatory text and diagrams. It also includes contact information for the instructor, Prof. Malay Badodariya.
Ewald summation
This document discusses the Ewald summation method, which is a technique for efficiently calculating long-range electrostatic interactions in systems with periodic boundary conditions. It separates interactions into short-range and long-range parts for faster calculation. The method decomposes the lattice sum into real space and reciprocal space contributions. It also discusses applications of the Ewald summation method, including for uniformly charged surfaces, using fast Fourier transforms to improve computation time, and calculating interactions between molecules.
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Coplanar forces res & comp of forces - for merge
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Couple 136
- 2. Prepared by Sharif Ibne Ibrahim Student ID No: 10.01.03.136 Year: 4th, Semester: 2nd, Sec: C
- 4. Definition A couple is system of forces that consists of two parallel forces that has equal magnitude, oppositely directed and do not act in a straight line but are separated by a perpendicular distance.
- 5. Schematic Diagram of Couple
- 6. Expressions The magnitude of the couple is given by F C=Fd d Here, F are the two forces and d is the perpendicular distance between the forces or is the moment arm. F
- 7. Properties Couple does not produce any translational movement but rotational. The resultant force of a couple is zero. but the resultant moment is not zero.
- 8. Properties Couple is independent of the moment center. d’ F The moment of couple about d the point A, M(A) A d’’ F = +F*d” – F*d’ M(A) = +F(d”-d’) M(A) = +Fd **[Anti-clockwise= +ve]
- 9. Is Torque and Couple same thing? In engineering mechanics, torque is the resultant moment of a couple. In general physics, it represents the moment of a force. Expression: t or C= Force * perpendicular distance
- 10. Couple in Reinforced Concrete The concept of couple is consider in reinforced concrete member. Here, reinforcement takes tension and concrete takes the compression so the two materials form a resisting couple against the external moment acting on the member.
- 11. Couple in Pre-stressed Concrete One of the general principal of pre-stressed Concrete is directly governed by the concept of Couple. In this type of member, by pre-stretching and anchoring the steel in the bottom of concrete member, we produce compressive stress in bottom fiber and tensile stress in top fiber. So when a external load act on that member and try deflect it downward, the internal resisting couple generated by high-strength steel counter that force.