GNG 1105 Chapter 1-19: Beer Vector Mechanics for Engineers Statics and Dynamics 10th c2013 txtbk
9 Mar 2016
School
Department
Course
Professor
Beer
Johnston
Mazurek
Cornwell
TENTH
EDITION
VECTOR MECHANICS for ENGINEERS
|STATICS|DYNAMICS|
ISBN 978-0-07-339813-6
MHID 0-07-339813-6
www.mhhe.com
A fi rst course in mechanics should develop a student’s ability to
analyze and solve problems using well-understood basic principles
applied in a simple logical manner. The emphasis of this text focuses
on the correct understanding of the principles of mechanics and on
their application to the solution of engineering problems. In order to
achieve the goal of being able to analyze mechanics problems, the
text employs the following pedagogical strategy:
• Practical applications are introduced early
• New concepts are introduced simply
• Fundamental principles are placed in simple contexts
Students are given extensive practice through sample problems,
special sections entitled Solving Problems On Your Own, and
extensive homework problem sets.
McGraw-Hill Create™ is an online system that
allows you to assemble materials especially for
your course, whether in print or eBook formats. You can choose
from nearly all McGraw-Hill titles and add material of your own to
build a resource exactly to your needs.
www.mcgrawhillcreate.com
engineering
McGraw-Hill Connect® Engineering
is a web-based assignment platform
that helps you connect your students
to their coursework and success beyond the course. Connect
includes many features that will help students learn faster, study
more, and retain more knowledge. Easy to use course management
tools allow you to spend less time administering and more time
teaching. McGraw-Hill ConnectPlus® Engineering also includes
an integrated eBook that is linked directly to the students’ learning.
www.mcgrawhillconnect.com
CourseSmart is a money-saving eBook
option that lets your students carry the book in an electronic format,
either on a computer or on one of many mobile devices.
www.coursesmart.com
STATICS|DYNAMICS
Beer I Johnston I Mazurek I Cornwell
VECTOR MECHANICS
for ENGINEERS TENTH EDITION
MD DALIM #1173126 11/29/11 CYAN MAG YELO BLK
ISBN: 0073529400
Authors: Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, David F. Mazurek
Title: Vector Mechanics for Engineers, 9e
Front endsheets
Color: 4
Pages: 2,3
Support or Connection Reaction Number of
Unknowns
Rollers Rocker Frictionless
surface
Force with known
line of action
Force with known
line of action
Force with known
line of action
1
1
1
Short cable Short link
Collar on
frictionless rod Frictionless pin in slot
90º
Frictionless pin
or hinge Rough surface Force of unknown
direction
or
or
2
Fixed support Force and couple
3
a
a
The first step in the solution of any problem concerning the
equilibrium of a rigid body is to construct an appropriate free-body
diagram of the body. As part of that process, it is necessary to show
on the diagram the reactions through which the ground and other
bodies oppose a possible motion of the body. The figures on this and
the facing page summarize the possible reactions exerted on two-
and three-dimensional bodies.
Reactions at Supports and Connections for a Two-Dimensional Structure
Ball Frictionless surface
Force with known
line of action
(one unknown)
Force with known
line of action
(one unknown)
Cable
F
F
Roller on
rough surface
Rough surface
Universal
joint
Hinge and bearing supporting radial load only
Wheel on rail Two force components
Three force components
Three force components
and one couple
Three force components
and three couples
Three force components
(and two couples; see page 191)
Two force components
(and two couples; see page 191)
Fy
Fx
Fx
Mx
Fz
Fy
Fz
Fx
Fy
Fz
Fy
Fz
Fy
Fz
My
(Mz)
(My)
(Mz)
(My)
Mz
Ball and socket
Fixed support
Hinge and bearing supporting
axial thrust and radial load
Pin and bracket
Fx
Mx
Fy
Fz
Reactions at Supports and Connections for a Three-Dimensional Structure
bee29400_ep_ifc.indd Page 1 12/1/08 5:01:29 PM user-s172bee29400_ep_ifc.indd Page 1 12/1/08 5:01:29 PM user-s172 /Volumes/204/MHDQ078/work%0/indd%0/Volumes/204/MHDQ078/work%0/indd%0
ISBN: 0073529400
Authors: Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, David F. Mazurek
Title: Vector Mechanics for Engineers, 9e
Front endsheets
Color: 4
Pages: 2,3
Support or Connection Reaction Number of
Unknowns
Rollers Rocker Frictionless
surface
Force with known
line of action
Force with known
line of action
Force with known
line of action
1
1
1
Short cable Short link
Collar on
frictionless rod Frictionless pin in slot
90º
Frictionless pin
or hinge Rough surface Force of unknown
direction
or
or
2
Fixed support Force and couple
3
a
a
The first step in the solution of any problem concerning the
equilibrium of a rigid body is to construct an appropriate free-body
diagram of the body. As part of that process, it is necessary to show
on the diagram the reactions through which the ground and other
bodies oppose a possible motion of the body. The figures on this and
the facing page summarize the possible reactions exerted on two-
and three-dimensional bodies.
Reactions at Supports and Connections for a Two-Dimensional Structure
Ball Frictionless surface
Force with known
line of action
(one unknown)
Force with known
line of action
(one unknown)
Cable
F
F
Roller on
rough surface
Rough surface
Universal
joint
Hinge and bearing supporting radial load only
Wheel on rail Two force components
Three force components
Three force components
and one couple
Three force components
and three couples
Three force components
(and two couples; see page 191)
Two force components
(and two couples; see page 191)
Fy
Fx
Fx
Mx
Fz
Fy
Fz
Fx
Fy
Fz
Fy
Fz
Fy
Fz
My
(Mz)
(My)
(Mz)
(My)
Mz
Ball and socket
Fixed support
Hinge and bearing supporting
axial thrust and radial load
Pin and bracket
Fx
Mx
Fy
Fz
Reactions at Supports and Connections for a Three-Dimensional Structure
bee29400_ep_ifc.indd Page 1 12/1/08 5:01:29 PM user-s172bee29400_ep_ifc.indd Page 1 12/1/08 5:01:29 PM user-s172 /Volumes/204/MHDQ078/work%0/indd%0/Volumes/204/MHDQ078/work%0/indd%0
