{"product_id":"9783032287250","title":"Static Analysis of Beams, Frames, and Arches A Direct Approach","description":"\u003ch3\u003eSynthesis Lectures on Mechanical Engineering\u003c\/h3\u003e\u003ch1\u003eStatic Analysis of Beams, Frames, and Arches\u003c\/h1\u003e\u003ch2\u003eA Direct Approach\u003c\/h2\u003e\u003ch3\u003eEdward B. Magrab\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eTechnology \u0026amp; Engineering \/ Mechanical\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\u003cp\u003e\u003cspan class=\"TextRun SCXW154344666 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eThis work presents a direct approach to \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003edetermine\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e the response of beam structures to static loads when the beams can be modeled \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eby\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e the Euler-Bernoulli theory\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e.  \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eIt starts by obtaining analytical expressions for the displacement, rotation, moment, and shear force responses of constant cross section beam\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003es\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e that \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003erest on an elastic foundation and on in-span rigid suppor\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003ets and \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eare\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e simultaneously subjected to a compressive axial force, concentrated forces, distributed forces, and applied moments\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e.  \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eThese expressions are obtained for four sets of boundary conditions: clamped-clamped, clamped-free, clamped-hinged, and hinged-hinged\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e.  \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eThen, \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003et\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eh\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003ee\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e constant cross section beam solution\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003es are \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eused to obtain analytical solutions for beams with a step change in flexural rigidity, rectangular frames\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e with clamped \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eand\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e hinged boundary conditions\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e, and rectangular plates hinged on two opposite edges\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e.  \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eS\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eeveral \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eof these solutions provide \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003enew \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eanalytical \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eresults \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003efor\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e uniform and stepped beams with rigid in-span supports and\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003efor \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003ethe \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003edisplacement of \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003erectangular\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eframe\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003es\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e.\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eThe method is extended to obtain \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003ethe response of uniform circular arches \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003efor \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003evarious \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eboundary conditions\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e and\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003ethe \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003esimultaneously \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eapplication\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eof \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003edifferent \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003etypes\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e of \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eloads\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e.  \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003eA\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e set of five interactive graphics programs\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e, one for each system,\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e can be downloaded to explore \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003esystem configurations\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW154344666 BCX0\"\u003e that are unavailable elsewhere, verify solutions to exercises and examples found in engineering texts, and to explore more complex models and loading combinations.\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"EOP SCXW154344666 BCX0\" data-ccp-props='{\"201341983\":0,\"335559685\":945,\"335559739\":120,\"335559740\":240}'\u003e \u003c\/span\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cdiv\u003e\u003cp\u003e\u003cspan class=\"TextRun SCXW134548027 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"\u003e\u003cspan class=\"NormalTextRun SCXW134548027 BCX0\"\u003eEdward B. \u003c\/span\u003e\u003cspan class=\"NormalTextRun SpellingErrorV2Themed SCXW134548027 BCX0\"\u003eMagrab\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW134548027 BCX0\"\u003e is Emeritus Professor in the Department of Mechanical Engineering at the University of Maryland at College Park\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW134548027 BCX0\"\u003e.  \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW134548027 BCX0\"\u003eHe has extensive experience in analytical and experimental analysis of vibrations and acoustics, served as an engineering consultant to \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW134548027 BCX0\"\u003enumerous\u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW134548027 BCX0\"\u003e companies, and authored and co-authored books on vibrations, environmental noise control, instrumentation, integrated product design, advanced engineering mathematics, engineering statistics, MATLAB\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"TextRun SCXW134548027 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"\u003e\u003cspan class=\"NormalTextRun Superscript SCXW134548027 BCX0\" data-fontsize=\"12\"\u003eÒ\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"TextRun SCXW134548027 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"\u003e\u003cspan class=\"NormalTextRun SCXW134548027 BCX0\"\u003e, and \u003c\/span\u003e\u003cspan class=\"NormalTextRun SpellingErrorV2Themed SCXW134548027 BCX0\"\u003eMathematica\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"TextRun SCXW134548027 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"\u003e\u003cspan class=\"NormalTextRun Superscript SpellingErrorV2Themed SCXW134548027 BCX0\" data-fontsize=\"12\"\u003eÒ\u003c\/span\u003e\u003c\/span\u003e\u003cspan class=\"TextRun SCXW134548027 BCX0\" lang=\"EN-US\" xml:lang=\"EN-US\" data-contrast=\"auto\"\u003e\u003cspan class=\"NormalTextRun SCXW134548027 BCX0\"\u003e.  \u003c\/span\u003e\u003cspan class=\"NormalTextRun SCXW134548027 BCX0\"\u003eHe is a Life Fellow of the American Society of Mechanical Engineers.\u003c\/span\u003e\u003c\/span\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e16 September 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032287250\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e125\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default 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