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Ch 5AnalysisDesignofBeamsforBending

# Ch 5AnalysisDesignofBeamsforBending - Chapter 5 Analysis...

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Chapter 5 Analysis and Design of Beams for Bending

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-- Supports Simply supported Cantilever Beam Overhanging Continuous Fixed Beam

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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 σ = - x My I σ From Ch 4: (5.1) (5.2)

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Recalling, elastic section modulus, S = I/c, = m M S σ hence (5.3) For a rectangular cross-section beam, 2 1 6 = S bh (5.4) From Eq. (5.3), σ 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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Ch 5AnalysisDesignofBeamsforBending - Chapter 5 Analysis...

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