Solving Practical Engineering Mechanics Problems: Statics

136 Pages·2018·2.563 MB·English

by  Sayavur I. Bakhtiyarov

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Synthesis Lectures on Series ISSN: 2573-3168 A
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Mechanical Engineering T
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Solving Practical Engineering Mechanics Problems
STATICS Solving Practical
Sayavur I. Bakhtiyarov, New Mexico Institute of Mining and Technology
Engineering mechanics is one of the fundamental branches of science that is important in S
O Engineering
the education of professional engineers of any major. Most of the basic engineering courses, L
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such as mechanics of materials, fluid and gas mechanics, machine design, mechatronics, N
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acoustics, vibrations, etc. are based on engineering mechanics courses. In order to absorb the P
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materials of engineering mechanics, it is not enough to consume just theoretical laws and A
C Mechanics Problems
theorems—a student also must develop an ability to solve practical problems. Therefore, it T
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is necessary to solve many problems independently. This book is a part of a four-book series A
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designed to supplement the engineering mechanics courses. This series instructs and applies E
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the principles required to solve practical engineering problems in the following branches of G STATICS
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mechanics: statics, kinematics, dynamics, and advanced kinetics. Each book contains between E
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6 and 8 topics on its specific branch and each topic features 30 problems to be assigned as R
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homework, tests, and/or midterm/final exams with the consent of the instructor. A solution G
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of one similar sample problem from each topic is provided.
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This first book contains seven topics of statics, the branch of mechanics concerned with
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the analysis of forces acting on construction systems without an acceleration (a state of the
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static equilibrium). The book targets the undergraduate students of the sophomore/junior C
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level majoring in science and engineering. The author welcomes all feedback/comments from P
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the reader. Please feel free to contact him at [email protected].
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: S Sayavur I. Bakhtiyarov
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ABOUT SYNTHESIS
This volume is a printed version of a work that appears in the Synthesis
Digital Library of Engineering and Computer Science. Synthesis lectures
provide concise original presentations of important research and
development topics, published quickly in digital and print formats. For
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more information, visit our website: http://store.morganclaypool.com O
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Solving Practical Engineering
Mechanics Problems: Statics

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Synthesis Lectures on
Mechanical Engineering
Synthesis Lectures on Mechanical Engineering series publishes 60–150 page publications pertaining to this diverse
discipline of mechanical engineering. The series presents Lectures written for an audience of researchers, industry
engineers, undergraduate and graduate students. Additional Synthesis series will be developed covering key areas
within mechanical engineering.
Solving Practical Engineering Mechanics Problems: Statics
Sayavur I. Bakhtiyarov
October 2017
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Allan Kirkpatrick
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MEMS Barometers Toward Vertical Position Detection: Background Theory, System Prototyping, and Measure-
ment Analysis
Dimosthenis E. Bolanakis
May 2017
Vehicle Suspension System Technology and Design
Avesta Goodarzi, Amir Khajepour
May 2017
Engineering Finite Element Analysis
Ramana M. Pidaparti
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Copyright © 2018 by Morgan & Claypool
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without the prior permission of the publisher.
Solving Practical Engineering Mechanics Problems: Statics
Sayavur I. Bakhtiyarov
www.morganclaypool.com
ISBN: 9781681731889 print
ISBN: 9781681731896 ebook
DOI 10.2200/S00799ED1V01Y201709MEC008
A Publication in the Morgan & Claypool Publishers series
SYNTHESIS LECTURES ON MECHANICAL ENGINEERING, #8
Series ISSN: 2573-3168 Print 2573-3176 Electronic
Solving Practical Engineering
Mechanics Problems: Statics
Sayavur I. Bakhtiyarov
New Mexico Institute of Mining and Technology
SYNTHESIS LECTURES ON MECHANICAL ENGINEERING #8
M
&C MORGAN & CLAYPOOL PUBLISHERS
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ABSTRACT
Engineering mechanics is one of the fundamental branches of science that is important in the education of profes-
sional engineers of any major. Most of the basic engineering courses, such as mechanics of materials, fluid and gas
mechanics, machine design, mechatronics, acoustics, vibrations, etc. are based on engineering mechanics courses. In
order to absorb the materials of engineering mechanics, it is not enough to consume just theoretical laws and the-
orems—a student also must develop an ability to solve practical problems. Therefore, it is necessary to solve many
problems independently. This book is a part of a four-book series designed to supplement the engineering mechanics
courses. This series instructs and applies the principles required to solve practical engineering problems in the follow-
ing branches of mechanics: statics, kinematics, dynamics, and advanced kinetics. Each book contains between 6 and 8
topics on its specific branch and each topic features 30 problems to be assigned as homework, tests, and/or midterm/
final exams with the consent of the instructor. A solution of one similar sample problem from each topic is provided.
This first book contains seven topics of statics, the branch of mechanics concerned with the analysis of forces
acting on construction systems without an acceleration (a state of the static equilibrium). The book targets the un-
dergraduate students of the sophomore/junior level majoring in science and engineering. The author welcomes all
feedback/comments from the reader. Please feel free to contact him at [email protected].
KEYWORDS
force, moment, torque, gravity, equilibrium, center of gravity
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Contents
.................................................... . . . . . . . . .
Acknowledgments ix
........................................................... . . . . . . . . .
1 Topic S-1 1
1.1 Determination of the Reaction Forces of Supports for Rigid Body . . . . . . . . . . . . . . . . . . . . . 1
1.2 Sample Problem ............................................................ 15
1.3 Solution .................................................................. 16
........................................................... . . . . . . . . .
2 Topic S-2 19
2.1 Application of the Method of Joints to Find Unknown Forces in a Plane (2D)
Truss Structure ............................................................. 19
2.2 Sample Problem ............................................................ 32
2.3 Solution .................................................................. 32
2.3.1 Determining Reaction Forces by Analytical Method . . . . . . . . . . . . . . . . . . . . . . . . 32
2.3.2 Determining the Forces in the Truss Members . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
........................................................... . . . . . . . . .
3 Topic S-3 37
3.1 Determination of Reaction Forces of Supports for Composite Stud . . . . . . . . . . . . . . . . . . . . 37
3.2 Sample Problem ............................................................ 45
3.3 Solution .................................................................. 45
........................................................... . . . . . . . . .
4 Topic S-4 49
4.1 Determination of Reaction Forces of Supports for Composite Construction
(System of Two Bodies) ...................................................... 49
4.2 Sample Problem ............................................................ 62
4.3 Solution .................................................................. 62
........................................................... . . . . . . . . .
5 Topic S-5 67
5.1 Determination of Reaction Forces of Supports for Composite Construction
(System of Three Bodies) ..................................................... 67
5.2 Sample Problem ............................................................ 81
5.3 Solution .................................................................. 81
........................................................... . . . . . . . . .
6 Topic S-6 85
6.1 Determination of reaction forces of rods supporting rectangular plate . . . . . . . . . . . . . . . . . . 85
6.2 Sample Problem ........................................................... 100
6.3 Solution ................................................................. 101
........................................................... . . . . . . . .
7 Topic S-7 105
7.1 Determination of Center of Gravity ........................................... 105
7.2 Sample Problem ........................................................... 121
7.3 Solution ................................................................. 122
.................................................... . . . . . . . .
Author Biography 125

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Acknowledgments
The author acknowledges that this work is essentially a translation and a revision of selected problems provided
by Professor A. A. Yablonski (Collection of Problems for Course Projects in Theoretical Mechanics, 2nd ed., Vischaya
Shkola Publishers, 1972, in Russian). The author intended to introduce this unique work to western academia,
which is the product of material covered by him in many classes over a period of four decades in a number of
universities and colleges.