ES2501: Statics/Unit 8-1: Moment of Force (2D cases)

Slides:

Advertisements

Similar presentations

ENGR-1100 Introduction to Engineering Analysis

Advertisements

CE Statics Lecture 15. Moment of a Force on a Rigid Body If a force is to be moved from one point to another, then the external effects of the force.

MOMENT OF A COUPLE (Section 4.6)

Torque Torque is defined as the tendency to produce a change in rotational motion.

Chapter 6 Bending.

MOMENT OF A FORCE (SCALAR FORMULATION), CROSS PRODUCT, MOMENT OF A FORCE (VECTOR FORMULATION), & PRINCIPLE OF MOMENTS Today’s Objectives : Students will.

Torque Torque is defined as the tendency to produce a change in rotational motion.

Torque. Torque Torque results when a force acts to rotate an object Torque results when a force acts to rotate an object A force applied to some point.

Chapter 4 : statics 4-1 Torque Torque, , is the tendency of a force to rotate an object about some axis is an action that causes objects to rotate. Torque.

MOMENT OF A FORCE (Section 4.1)

READING QUIZ The resultant force of a given couple system is always _______. A) positive B) negative C) zero D) None of the above.

Dr. Jie Zou PHY 1151G Department of Physics1 Chapter 11 Rotational Dynamics and Static Equilibrium.

MOMENT AND COUPLES.

MOMENT OF A FORCE SCALAR FORMULATION, CROSS PRODUCT, MOMENT OF A FORCE VECTOR FORMULATION, & PRINCIPLE OF MOMENTS Today’s Objectives : Students will be.

4.6 Moment due to Force Couples

Lecture #6 part a (ref Chapter 4)

Engineering Mechanics: Statics

MOMENT OF A COUPLE Today’s Objectives: Students will be able to

QUIZ #2 If cable CB is subjected to a tension that is twice that of cable CA, determine the angle Θ for equilibrium of the 10-kg cylinder. Also, what are.

1© Manhattan Press (H.K.) Ltd. Torque Couple Couple 1.4 Moment of a force.

ENGR 3340: Fundamentals of Statics and Dynamics Fundamentals of Statics and Dynamics - ENGR 3340 Professor: Dr. Omar E. Meza Castillo

Overview of Mechanical Engineering for Non-MEs Part 1: Statics 3 Rigid Bodies I: Equivalent Systems of Forces.

MOMENT OF A FORCE SCALAR FORMULATION, CROSS PRODUCT, MOMENT OF A FORCE VECTOR FORMULATION, & PRINCIPLE OF MOMENTS Today’s Objectives : Students will be.

MOMENT OF A FORCE (SCALAR FORMULATION), CROSS PRODUCT, MOMENT OF A FORCE (VECTOR FORMULATION), & PRINCIPLE OF MOMENTS In-Class Activities : Check Homework.

MOMENT OF A COUPLE In-Class activities: Check Homework Reading Quiz Applications Moment of a Couple Concept Quiz Group Problem Solving Attention Quiz Today’s.

Statics, Fourteenth Edition R.C. Hibbeler Copyright ©2016 by Pearson Education, Inc. All rights reserved. In-Class activities: Check Homework Reading Quiz.

College of Engineering CIVE 1150 Summer a = 200mm W = 16Kg*9.8m/s 2 W = 156.9N Find tension in each of the three cords.

MOMENT OF A FORCE (Section 4.1) Today’s Objectives : Students will be able to: a) understand and define moment, and, b) determine moments of a force in.

Chapter 4 Force System Resultant. The moment of a force about a point provides a measure of the tendency for rotation (sometimes called a torque). 4.1.

Moment. In addition to the tendency to move a body in the direction of its application, a force can also tend to rotate a body about an axis. The axis.

Lecture #6 Moments, Couples, and Force Couple Systems.

ME 201 Engineering Mechanics: Statics Chapter 4 – Part A 4.1 Moment of a Force - Scalar 4.2 Cross Product 4.3 Moment of a Force – Vector 4.4 Principle.

MEC 0011 Statics Lecture 4 Prof. Sanghee Kim Fall_ 2012.

MOMENT OF A FORCE (SCALAR FORMULATION), CROSS PRODUCT, MOMENT OF A FORCE (VECTOR FORMULATION), & PRINCIPLE OF MOMENTS Objectives : a) understand and define.

Introduction Treatment of a body as a single particle is not always possible. In general, the size of the body and the specific points of application.

Chapter 5A. Torque A PowerPoint Presentation by

GOVERNMENT ENGINEERING COLLEGE, DAHOD CIVIL ENGINEERING DEPARTMENT

Rigid Bodies: Equivalent Systems of Forces

ES2501: Statics/Unit 9-1: Moment of Force (3D cases)

Sample Problem 3.5 A cube is acted on by a force P as shown. Determine the moment of P about A about the edge AB and about the diagonal AG of the cube.

Sakalchand Patel College

4.5 MOMENT ABOUT AN AXIS - Scalar analysis

Rotational Dynamics and Static Equilibrium

MOMENT OF A COUPLE Today’s Objectives: Students will be able to

Chapter 5A. Torque A PowerPoint Presentation by

Couples. Resolution of a force into a force and a couple.

MOMENT ABOUT AN AXIS Today’s Objectives:

STATICS (ENGINEERING MECHANICS-I)

MOMENT OF A FORCE SCALAR FORMULATION, CROSS PRODUCT, MOMENT OF A FORCE VECTOR FORMULATION, & PRINCIPLE OF MOMENTS Today’s Objectives : Students will be.

MOMENT OF A FORCE SCALAR FORMULATION, CROSS PRODUCT, MOMENT OF A FORCE VECTOR FORMULATION, & PRINCIPLE OF MOMENTS Today’s Objectives : Students will be.

Statics Course Code: CIVL211 Dr. Aeid A. Abdulrazeg

Structure I Course Code: ARCH 208 Dr. Aeid A. Abdulrazeg

MOMENT OF A COUPLE Today’s Objectives: Students will be able to

Moments A moment of a force is a measure of its tendency to cause a body to rotate about a point or axis. It is the same as torque. A moment (M) is calculated.

QUIZ (Chapter 4) 7. In statics, a couple is defined as __________ separated by a perpendicular distance. A) two forces in the same direction B) two.

KNUS&T Kumasi-Ghana Instructor: Dr. Joshua Ampofo

Understanding Torque Torque is a twist or turn that tends to produce rotation. * * * Applications are found in many common tools around the home or industry.

Students will be able to a) define a couple, and,

MOMENT OF A COUPLE Today’s Objectives: Students will be able to

Moment of a Force.

Moment of a Force.

Moment of a Force.

Moment of a Force.

MOMENT OF A FORCE (SCALAR FORMULATION), CROSS PRODUCT, MOMENT OF A FORCE (VECTOR FORMULATION), & PRINCIPLE OF MOMENTS Today’s Objectives : Students will.

Students will be able to: a) understand and define moment, and,

MOMENT OF A COUPLE Today’s Objectives: Students will be able to

MOMENT OF A FORCE (Section 4.1)

Moment of a Force.

Torque Rotational analogue of Force Must contain Use door example

Presentation transcript:

ES2501: Statics/Unit 8-1: Moment of Force (2D cases) Motivation: door Forces distributed over a rigid body may cause rotation. Effects of a force on rotation depend not only on magnitude and direction of the force but also on where it applies. Concept of moment To open the door where is better to apply the force? Definition of Moment of a Force about a point: Magnitude of the force Distance of the force to its line of action Sign convention: “+“---- counterclockwise “-” --- clockwise Moment of a force about point O Moment is additive: Line of action of the force Dimension: [M}=[F}{L] Unit: N-m; lb-ft

ES2501: Statics/Unit 8-2: Moment of Force (2D cases) General Comments: Moment of a force about a point is zero if the point is on the line of action of the force. Sign convention: “+“---- counterclockwise “-” --- clockwise Line of action of the force d must be the perpendicular distance to the line of action of the force Alternative formula based on the additive property of moment Equivalence? correct d Line of action of the force A is ANY point on the Line of action of the force

ES2501: Statics/Unit 8-3: Moment of Force (2D cases) Example: Find the moment of the force shown about point O (1) By basic definition Clockwise (2) By Cartesian compopnents (2) By the cross-product definition The same answer !

ES2501: Statics/Unit 8-4: Moment of Force (2D cases) Moment of a Couple Couple ----- a pair of forces with the same magnitude and opposite direction Moments of a Couple: Distance between lines of action of the couple of force Moment of the couple Magnitude of force Sign convention Moment of a couple about ANY point is the same!!