Ch 5AnalysisDesignofBeamsforBending

Ch 5AnalysisDesignofBeamsforBending - Chapter 5 Analysis...

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Unformatted text preview: Chapter 5 Analysis and Design of Beams for Bending -- Dealing with beams of different materials: steel, aluminum, wood, etc.-- Loading: transverse loads Concentrated loads Distributed loads 5.1 Introduction-- Supports Simply supported Cantilever Beam Overhanging Continuous Fixed Beam A. Statically Determinate Beams-- Problems can be solved using Equations of Equilibrium B. Statically Indeterminate Beams-- Problems cannot be solved using Eq. of Equilibrium-- Must rely on additional deformation equations to solve the problems. FBDs are sometimes necessary: FBDs are necessary tools to determine the internal (1) shear force V create internal shear stress; and (2) Bending moment M create normal stress Where I = moment of inertia y = distance from the N. Surface c = max distance = m M c I = - x My I From Ch 4: (5.1) (5.2) Recalling, elastic section modulus, S = I/c, = m M S hence (5.3) For a rectangular cross-section beam, 2 1 6 = S bh (5.4) From Eq. (5.3), max occurs at M max It is necessary to plot the V and M diagrams along the length of a beam....
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This note was uploaded on 12/03/2011 for the course EMA 3702 taught by Professor Wu during the Fall '11 term at FIU.

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Ch 5AnalysisDesignofBeamsforBending - Chapter 5 Analysis...

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