Transcription of Basic Stress Equations - Fairfield University
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Basic Stress Equations - Fairfield University
Dr. D. B. WallaceBasic Stress EquationsInternal Reactions:6 Maximum(3 Force Components & 3 Moment Components)Normal Force) () (Shear ForceszxyPVyVxTorsional Moment) () (Bending MomentszxyTMyMxor TorqueForce ComponentsMoment Components"Cut Surface""Cut Surface"Centroid ofCross SectionCentroid ofCross SectionNormal Force:Axial ForcezxyPCentroid Axial Stress "Cut Surface" =PAl Uniform over the entire cross Axial force must go through Forces:Cross SectionyAaPoint of interestLINE perpendicular to V through point of interest= Length of LINE on the cross section= Area on one side of the LINE Centroid of entire cross sectionCentroid of area on one side of the LINE= distance between the two centroids= Area moment of inertia of entire cross sectionabout an axis pependicular to V.
refers to the outside]. The curvature factor magnitude depends on the amount of curvature (determined by the ratio r/c ) and the cross section shape. r is the radius of curvature of the beam centroidal axis, and c is the distance from the centroidal axis to the inside fiber. M M Centroidal Axis r c Inside Fiber: σi K i M c I = ⋅ ⋅ Outside ...
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