Engineering Mechanics - Statics, R.C. Hibbeler, 12th Edition. Victor Takeo Takase. Loading Preview. Sorry, preview is currently unavailable. You can download. Engineering Mechanics Statics (13th Edition). Author: R.C. Hibbeler. Category: Engineering and PDF icon Engineering_Mechanics_Statics_(13th_Edition).pdf . Engineering Mechanics: Statics. Course Overview. Engineering Mechanics. Statics Statics – Equilibrium of bodies; at rest or moving with constant velocity.
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Rigid-body mechanics is divided inlo two areas: statics and dynamics. Before we begin our study Engineering Mec Statics, R.C. Hibbeler, teshimaryokan.info both statics and dynamiCS. which form the subject matter of engineering mechanil::s. Before we begin our study of engineering mechanics. it is important to. Access the videos at teshimaryokan.infonhighered. com/hibbeler/ and follow the links for the Engineering Mechanics: Statics, Thirteenth Edition text. Resources for.
Published in: Represent each of 11M: E"alume each of the fol1o Exilmples of ,'ectors encountered in statics arc force. Share a link to All Resources. Scala r No ta tion.
The sides of the parallelogram represent the ,omponents. The magnitudes of two for,e componentSarc determined from the law of sines. The formulas arc given in Fig. Ihe resullant is rormed by an algebraic or scalar addition.
The parallelogram is formed by dr'lwing a line from the head of FI thai is parallcl lO F!. The two unknowns arc the magnitude of. From the parallelogram.
Ihe vector triangle is constructed. So TIIUs. NOTE; The results secm reasonable. The result for FlO shows that sometimes a componcnt can ha"c a greau: The magnitudes of FRand. They can be determined by applying the Jaw of sines.
Determine this magnitudc. Sin,,, the ve,tor 3ddilion now forms a right triHnglc, the two unknown magnitudes can be nhl"ined by trigonomctry.
IXlcrminc tlie magnitude of the r.. HN ' ' P2- l. Two forces a. Determine Ihe magnitude o he resultant force. Determine llie magnimdc of the resultant ora: The force F '" lb acts on Ihe rame. Resolve this orcc into componenls aC1ing along member. N, delermine the maj;l1itudc of. J axis. J axis.. Ingle O. Determine Ihe magniUlde of the resultant forcl. Rcsoll'c FI inlo components along llie" and vaxes.
If thc resultant force is required to aet along Ihe posilh'e" uis and ha"c a magnitude of S kN. C from the horizontal. Determine the angle of 9 for connecting nlcnlbcr A to lhe plate 5 Ihat the resultant force of f A and fa is directed Iiorizontally to.
If the tellsioll in the table is N. Igllitudc and direction of the resultant fon: This angle is the same angle 0 of lille AB on the tailboard bind The devke is used for surgical replacement of the knee jomt, If the force 3"illg along the kg is N.
The device is used for surgical replacement of the knec joint. If the force acting alollg the leg is N. Ib horizontal force has 3 component of lb directed from A to What is the component of force acting along member AB? Ib horizoncal force has a tomponem of lb which aclS up 10 the left. Takc 8 - 30". Resolve t'l inca components along the" 8nd uaxes and ctermine the magnitudes of these tOnlponents. Resolve f!
F, - ZSON! Delcnn;nc the magnitudes of forces f " and FII acting on each rope in order 10 dC"clop a resultant force of N directed along lite positive: ScI The truck is 0 be lowed using two ropn. If the resultant fOIT: N directed along! If 0 - 30" and - 6 kK ctermine the magnitutk of the resultant fom: If their lin.. Deter, mine the magnitudes of foTCts t"" and.
FA aCtSM 3fr from the ' uis. What is the magnitude of. First find the rcsultant of the 11'10 known forces. Force "acts in this direnion. If two of the abies arc subjeetcd to known forces. All forces lic in the x-y plane. Whm is the magnitude of F? Firsl find the resultant of the two known forces. Scala r No ta tion. The rectangular components of forte Fshown in Fig.
F sin O Instead of using the angle O. Ihe dir;: F , Here Ihe ' component is a neg: III-'c scalar since ", is directed along Ihc negativc ' axis. It is also possible to representthc x.! To do this. The resultant force is then fomled by adding Ihc resultant components using the parallelogram I Using Ctlrll'Silll1 ,'ntor lIolllfitm.
This fe. From this skl: Ihe magnitude of Fit is then found from the Pythagorean theorem: Express each force as a Canesian vector. By the parallclogram law.
F, is resolved into x and y components. Since Fb acts in the - x direction. The furce F! First we resolvc cllch forcc into its. Cartesian Vector Notation.
From Fig. Comparing the two methods of solution. Detemlinc thc mugnitudc and direction of thc rcsultant forcc. Summiug the x components. Application of this method is more con'enienl. O"lCmlinc the magnitude of llie rcsultant forre aCling on Ihe corbel and its direction II measured counterclockwise from Ilte. If Ihe magnitude of Ihe resultant force aCling on lhe bmekcl is 10 1M: Fl- I I! Dclcnninc the magnitude of the rcsullam force: Determine llie magnitude of llie rcSUllan!
If the magnitude of Ihe resultant force acting on lite cycboll is Nand ilS direction measured clockwise from Ihe positive ,r 3. The oontac IlOint bel""Cen the femur and tibia bonn or the leg is 3 A. If thc magnitude for Ille rcsultant force actillg on lite plale is required to be 6 kN and its direel;oll measured clockwise from Iltc posili,'c x axis is 6 - JO".
Iklcrminc the magnilUdc and anste measured counterclockwise from lhe positil'c ' uis of the resultant force acting on the bracket if F. If the resultant force acting on the bracket is to be directed along the positive. T axis and the magnitude of.
I Of,. The thrcc forces are apphed to the brackct. If the m3'"'tude 0 thc resultant fOKe aclln, 01 the brxkcl IS to be:. If the resultant force 3 "ing on thc brKket IS rcquir Determine tbe magnitude of force f so tllat Ille resultant [orce of llie three forces is as small as possible.
What is Ihe masnitudc of Ihis smallest resultant force'! IHN , I'rob. Right-Handed Coordinate System. A rcaangul3r coordin! Rectangular Components of a Vector. A vector Amay have one. Combining these equations. A is represented by the vector sum of its rim'! In three dimensions, the set ofCartesi,m unit vectors. As stated in Sec. The positil'e Cartesian unil vectors arc shown in Fig. J , Cartesian Vector Representation.
Since the three components of A in Eq. Magnitude of a Cartesian Vector. As shown in Fig. We will define the tiiuClilm of , by the "lJwdi,wlI: NOll' thai regardlCSll of where A is directed. To determine a,p, ,lIld Y,consider the projection of A onto the. Referring 10 Ihe bluc colored righl triangleS shown in each figure. I I l-icTI! Thc components of A can th! You should not memorize this equation. R, has components which arc thc S!
I'eral concurrent forQ! The third angle is dett: In this case the vector components arc obtained by vector resolution using uigonometry. Express the force F shown in Fig. S Hcncc. Using Eq. The fCloultanl force acting on tbe 00"' the ship can be detctntined b ' first rcprcscnlingcoch rope furce;. The coordin3te direction angles a.
Ani', NOTE: In parlieu[3r. By trigonometry. FI and Fl. Applying Eq. These results arc shown in Fig. Determme its coordinate direction angles of the force. Express Ihe for '! Determine the resultant force acting on the hook.
IXlcrmine Ille ooordinate angle y for. Determine the magnitud!. Express each fOll: Determine the coordinate direction angles of the force "'I and indic: Express each force as a Cartesian veClor, "2-'S. The spur gear is suhj;: If thc resultant fOKe acting on the hook is F".. Find tlte magnitude and coordinate direction angles of the resultant force, Force "'J acts "'ithin the octant sho"l1, , 1.
YI of t', so 1ha1 Ihe H,'sullan!
Determine tile magnitude and coordinate direction angles of f l so thm the r ',ullanl oflrn: Determine the magnitude and coordinate direction anglesof. If lite resullant foree Jlctingon Ihe bracket isdircclW: The pole is subjcrted to the force F. The pole is subjected 10 lhe foree t' I" t-, I',. Three fo rces 3ct on Ihe ring. Two forces t", and f' act on the bolt. We will also usc thc convcntion followed in many technical books. The x. For cxamplc. In a similar manncr, measuremcnts along thc x.
Position Vector. Starting at the origin O. As a malleT of convcntion. I'pmlllillg CQortlilllllts of Ilu' 1,1. DClconine its length and its direClion measured from A toward B. In accordance with Eq. TIlc length of the rubber band is Ihercfore All Such a situation is shown in Fig. In be. S9 , r' Hje. Represent this force acting on the support A as a Cartesian vector and determine its direction.
Rather than using the coordinates of Ihe cnd points of the cord.
From Ihe compont;nts of the unit vector: Express it as 3 Cartesian I'eetor. Express the result as a Cartesian vector. We can express this forcc as a Cartesian vector by first formulating "' , 1: The directions of Fill: I and F,I ' arc specified by forming unit vectors u,'": Express the force as a Cartesian 'cctor. Exprcss tile force as a Cartesian ' "cctor. D etermine the magnitude of tile resultant force al A. A IOm Fc.. Determine the rcsul1anl force at A.
If tile cord AH is 75 m long.
Determine the magnitude and coordinate direction angles of the resultant force. Determine che magnitude and coordinate direction angles of the re5UltalH force acting at A.
If the force in each chain hos a magnitude of 60 lb. The chandelier is supported by three chains 'ohieh arc concurrent al point O. The lower ii held In plxc by three COlb! If Inc forn: The door b; held opened by means of '''0 c: Neglect the dHlmetcl of the pole. TIIo'o abies an: If the resultant forti. N load. Sci F.
If the cable has a length of 34 ft. If the force in each chain ha5 a magnitude of-ISO lb. If the resultam of the three forces is. If the forces of these cables acting on the antenna arc ,. The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning.
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Description In his revision of Engineering Mechanics , R. Series This product is part of the following series. MasteringEngineering Series.
Preface Preface is available for download in PDF format. Problem Solving R. These problem sets follow the example problems. They offer students simple applications of the concepts and, therefore, provide them with the chance to develop their problem-solving skills before attempting to solve any of the standard problems that follow. You may consider these problems as extended examples since they all have partial solutions and answers that are given in the back of the book.
Throughout the text, usually at the end of each chapter, there is a set of problems that involve conceptual situations related to the application of the mechanics principles contained in the chapter.
These analysis and design problems are intended to engage the students in thinking through a real-life situation as depicted in a photo. This feature provides students with a logical and orderly method for applying theory and building problem solving skills.
A general procedure for analyzing any mechanical problem is presented at the end of the first chapter. Then this procedure is customized to relate to specific types of problems that are covered throughout the book.
This feature provides a review or summary of the most important concepts in a section and highlights the most significant points that should be realized when applying the theory to solve problems. Drawing a free-body diagram is particularly important when solving problems, and for this reason this step is strongly emphasized throughout the book. In particular, special sections and examples are devoted to show how to draw free-body diagrams. Specific homework problems have also been added to develop this practice.
The majority of problems in the book depict realistic situations encountered in engineering practice. Some of these problems come from actual products used in industry. This supplement contains chapter-by-chapter study materials, a Free-Body Diagram Workbook and access to the Companion Website.
Part I - A chapter-by-chapter review including key points, equations, and check up questions. Part II - Free Body Diagram workbook — 75 pages that step students through numerous free body diagram problems. Full explanations and solutions are provided.
Access Code - www. In some section, photographs have been used to show how engineers must first make an idealized model for analysis and then proceed to draw a free-body diagram of this model in order to apply the theory. Most photographs were taken by the author, and include appropriate vectors and notation illustrating a mechanics concept. New to This Edition. New Problems. These new problems relate to applications in many different fields of engineering. Also, a significant increase in algebraic type problems has been added, so that a generalized solution can be obtained.
Additional Fundamental Problems. These problem sets serve as extended example problems since their solutions are given in the back of the book. Additional problems have been added, especially in the areas of frames and machines, and in friction. Expanded Solutions. Some of the fundamental problems now have more detailed solutions, including some artwork, for better clarification. Also, some of the more difficult problems have additional hints along with its answer when given in the back of the book.
Updated Photos. The relevance of knowing the subject matter is reflected by the realistic applications depicted by the many photos placed throughout the book. In this edition 20 new or updated photos are included. These, along with all the others, are generally used to explain how the relevant principles of mechanics apply to real-world situations. In some sections they are incorporated into the example problems, or to show how to model then draw the free-body diagram of an actual object.
Throughout the book examples have been altered or enhanced in an attempt to help clarify concepts for students.
Where appropriate new examples have been added in order to emphasize important concepts that were needed. New Conceptual Problems. The conceptual problems given at the end of many of the problem sets are intended to engage the students in thinking through a real-life situation as depicted in a photo. They can be assigned either as individual or team projects after the students have developed some expertise in the subject matter. Share a link to All Resources.
Instructor Resources. Instructors, you may still place orders with your bookstore. Statics, 13th Edition Download Solutions Manual: