Structural Engineering

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5.3Shear& Moment Diagrams 101


Thechangein moment between 1 and 2 ,M 21 , is equalto theareaunder


theshearcurve betweenx 1 andx 2.


57 Notethatwe stillneedto haveV 1 andM 1 in orderto obtainV 2 andM 2 respectively.


58 Fig. 5.12and5.13further illustratesthevariationin internalshearandmoment under


uniformandconcentratedforces/moment.


Figure5.12: ShearandMoment Forcesat Di erent Sectionsof a LoadedBeam


Shear

Moment

Load

Shear

Positive Constant Negative Constant

Positive Constant Negative Constant Negative IncreasingNegative Decreasing

Negative IncreasingNegative Decreasing

Positive Increasing Positive Decreasing

Positive Increasing Positive Decreasing

Figure5.13:Slope RelationsBetweenLoadIntensity andShear,or BetweenShearandMoment

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