CE 201 - Statics Chapter 5 – Lectures 4 and 5. EQUILIBRIUM IN THREE DIMENSIONS Free-Body Diagram Equations of Equilibrium.

Slides:

Advertisements

Similar presentations

Equilibrium of Rigid Bodies

Advertisements

Today’s Objective: Students will be able to:

Problem y x Collars A and B are connected P

Equilibrium of a Rigid Body

Equilibrium of Rigid Bodies

EQUILIBRIUM OF RIGID BODIES

CE Statics Chapter 6 – Lecture 20. THE METHOD OF JOINTS All joints are in equilibrium since the truss is in equilibrium. The method of joints is.

Equilibrium Equilibrium refers to a condition in which an object is at rest originally at rest (static equilibrium) or has a constant velocity if originaly.

ME221Lecture 131 ME 221 Statics Lecture #13 Sections 5.1 – 5.7 Exam #2 Review.

ME 221Lecture 251 ME 221 Statics Lecture #25 Sections 5.1 – 5.7.

EGR 280 Mechanics 3 – Rigid-Body Statics. Static Equilibrium of Rigid Bodies In addition to the resultant force being zero, the resultant moment about.

CHAP 5 Equilibrium of a Rigid body

ME 221Lecture 221 ME 221 Statics Lecture #22 Sections 5.1 – 5.4.

ME221Lecture 121 ME 221 Statics Lecture #12 Sections 5.6 – 5.7.

ME221Lecture 111 ME 221 Statics Lecture #11 Sections 5.1 – 5.5.

ME 221Lecture 231 ME 221 Statics Lecture #23 Sections 5.6 & 5.7.

ME 221Lecture 231 ME 221 Statics Lecture #23 Section 5.5.

Chapter 3 Equilibrium of Coplanar Force Systems

EQUILIBRIUM OF RIGID BODIES. RIGID BODIES Rigid body—Maintains the relative position of any two particles inside it when subjected to external loads.

Rigid Bodies II: Equilibrium

3D Rigid Body Equilibrium. (Reference 5.5 and 5.6)

Equilibrium of Rigid Bodies

CE Statics Chapter 5 – Lecture 1. EQUILIBRIUM OF A RIGID BODY The body shown is subjected to forces F1, F2, F3 and F4. For the body to be in equilibrium,

In the study of the equilibrium of rigid bodies, i.e. the situation when the external forces acting on a rigid body form a system equivalent to zero, we.

5.6 Equations of Equilibrium

Copyright © 2010 Pearson Education South Asia Pte Ltd

Equilibrium of a Rigid Body 5 Engineering Mechanics: Statics in SI Units, 12e Copyright © 2010 Pearson Education South Asia Pte Ltd.

5.4 Two- and Three-Force Members

RIGID BODY EQUILIBRIUM IN 3-D (Sections 5.5 – 5.7)

Today’s Objective: Students will be able to:

ENGINEERING MECHANICS STATICS & DYNAMICS Instructor: Eng. Eman Al.Swaity University of Palestine College of Engineering & Urban Planning Chapter 5: Equilibrium.

Students will be able to:

Slide #: 1 Chapter 4 Equilibrium of Rigid Bodies.

ME 201 Engineering Mechanics: Statics

CE Statics Chapter 6 – Lecture 22. FRAMES AND MACHINES Frames And machines are structures composed of pin-connected members. Those members are subjected.

CE Statics Chapter 7 – Lecture 1. INTERNAL FORCES  Internal Forces Developed in Structural Members (2-D)  Internal Forces Developed in Structural.

ME 201 Engineering Mechanics: Statics Chapter 3 – Part A 3.1 Condition for the Equilibrium of a Particle 3.2 The Free-Body Diagram 3.3 Co-Planar Force.

Chapter 5 EQUILIBRIUM OF A RIGID BODY. APPLICATIONS A 200 kg platform is suspended off an oil rig. How do we determine the force reactions at the joints.

EF 202, Module 2, Lecture 3 1 Albert Einstein, when asked to describe radio, replied: "You see, wire telegraph is a kind of a very, very long cat. You.

Problem 4-c 1.2 m y 1.5 m z x 5 kN A B C E D  1 m 2 m A 3-m pole is supported by a ball-and-socket joint at A and by the cables CD and CE. Knowing that.

Procedure for drawing a free-body diagram - 2-D force systems Imagine the body to be isolated or cut “free” from its constraints and connections, draw.

Equilibrium of a Rigid Body 5 Engineering Mechanics: Statics in SI Units, 12e Copyright © 2010 Pearson Education South Asia Pte Ltd.

MEC 0011 Statics Lecture 6 Prof. Sanghee Kim Fall_ 2012.

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

EQUILIBRIUM OF RIGID BODIES

RIGID BODY EQUILIBRIUM IN 3-D

Lecture10 Equilibrium.

Equilibrium of Rigid Bodies

Equilibrium of Rigid Bodies

Today’s Objective: Students will be able to:

Today’s Objective: Students will be able to:

What if…? W=? Now suppose we have a different problem: How much gravel can this tractor carry before it tips over? Discuss with a neighbor how you.

ENGR-1100 Introduction to Engineering Analysis

Equilibrium of Rigid Bodies

Equilibrium of Rigid Bodies

Today’s Objective: Students will be able to:

Today’s Objective: Students will be able to:

Today’s Objective: Students will be able to:

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.

ENGINEERING MECHANICS

CE Statics Lecture 9.

Equilibrium Of a Rigid Body.

Equilibrium Of a Rigid Body.

Forces, Moment, Equilibrium and Trusses

Equilibrium of Rigid Bodies

Structure Analysis I.

Copyright © 2010 Pearson Education South Asia Pte Ltd

CE Statics Chapter 7 – Lecture 3.

Low 39% High 112% Average 82% Mode 67%

CE Statics Lecture 8.

Presentation transcript:

CE Statics Chapter 5 – Lectures 4 and 5

EQUILIBRIUM IN THREE DIMENSIONS Free-Body Diagram Equations of Equilibrium

Free-Body Diagram It is necessary to draw free-body diagram before solving problems associated with equilibrium of bodies.

Support Reactions Table 5-2 shows the reactive forces and couple moments acting at various types of supports and connections in three dimensions. Force is developed in the direction where translation of the body is prevented. Couple moment is developed in the direction where rotation of the body is prevented. Fy Fz Ball and SocketSingle Journal Bearing Single Journal Bearing with Square Shaft

Equation of Equilibrium Vector Formulation  F = 0  M o = 0 F represents the sum of all external forces acting on the body. M represents the sum of couple moments and moments of all forces about point O.

Scalar Formulation  F x = 0  F y = 0  F z = 0 and  M x = 0  M y = 0  M z = 0 Six equation can be used to solve for six unknowns