Solving Practical Engineering Mechanics Problems: Statics

1 Solving Practical Engineering Mechanics Problems: Staticsiii Synthesis Lectures on Mechanical EngineeringSynthesis 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 Practical Engineering Mechanics Problems: StaticsSayavur I. BakhtiyarovOctober 2017 Resistance Spot Welding: Fundamentals and Applications for the Automotive IndustryMenachem Kimchi and David H.

2 PhillipsOctober 2017 Unmanned Aircraft Design: Review of FundamentalsMohammad SadraeySeptember 2017 Introduction to Refrigeration and Air Conditioning Systems: theory and ApplicationsAllan KirkpatrickSeptember 2017 MEMS Barometers Toward Vertical Position Detection: Background theory , System Prototyping, and Measure-ment AnalysisDimosthenis E. BolanakisMay 2017 Vehicle Suspension System Technology and DesignAvesta Goodarzi, Amir KhajepourMay 2017 Engineering Finite Element AnalysisRamana M. PidapartiMay 2017 Copyright 2018 by Morgan & ClaypoolAll rights reserved.

3 No part of this publication may be reproduced, stored in a retrieval system, or transmitted inany form or by any means electronic, mechanical, photocopy, recording, or any other except for brief quotations in printed reviews, without the prior permission of the Practical Engineering Mechanics Problems: StaticsSayavur I. : 9781681731889 printISBN: 9781681731896 ebookDOI Publication in the Morgan & Claypool Publishers seriesSYNTHESIS LECTURES ON MECHANICAL Engineering , #8 Series ISSN: 2573-3168 Print 2573-3176 ElectronicSolving Practical Engineering Mechanics Problems: StaticsSayavur I.

4 BakhtiyarovNew Mexico Institute of Mining and Technology SYNTHESIS LECTURES ON MECHANICAL Engineering #8M&CMORGAN & CLAYPOOL PUBLISHERSviABSTRACTE ngineering 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.

5 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.

6 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 moment, torque, gravity, equilibrium, center of gravityviiContents Acknowledgments.

7 Ix1 Topic S-1 .. Determination of the Reaction Forces of Supports for Rigid Body .. Sample Problem .. Solution .. 162 Topic S-2 .. Application of the Method of Joints to Find Unknown Forces in a Plane (2D) Truss Structure .. Sample Problem .. Solution .. Determining Reaction Forces by Analytical Method .. Determining the Forces in the Truss Members .. 333 Topic S-3 .. Determination of Reaction Forces of Supports for Composite Stud .. Sample Problem .. Solution .. 454 Topic S-4.

8 Determination of Reaction Forces of Supports for Composite Construction (System of Two Bodies) .. Sample Problem .. Solution .. 625 Topic S-5 .. Determination of Reaction Forces of Supports for Composite Construction (System of Three Bodies) .. Sample Problem .. Solution .. 816 Topic S-6 .. Determination of reaction forces of rods supporting rectangular plate .. Sample Problem .. Solution .. 1017 Topic S-7 .. Determination of Center of Gravity .. Sample Problem .. Solution.

9 122 Author Biography .. 125ixAcknowledgmentsThe 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.

10 1 CHAPTER 1 Topic DETERMINATION OF THE REACTION FORCES OF SUPPORTS FOR RIGID BODYFind reaction forces in supports of the given construction systems schematically shown in Figures The sizes are in meters and the loads are shown in the table #GPMq kNkN mkN 1. PROBLEM S-122 GMqBP A Figure 23 GMqBP A1 DCFigure 22 GMqBP AFigure 2 GMqB A31 Figure DETERMINATION OF THE REACTION FORCES OF SUPPORTS FOR RIGID BODY4 1. PROBLEM S-1 M42qA CBpDFigure 3 MqP A12 BFigure 2 MqP A2B Figure 3 MqP G1B4D FAECF igure DETERMINATION OF THE REACTION FORCES OF SUPPORTS FOR RIGID BODY6 1.