Course 5

GERTC Review Lectures

Course 5

Lecture 5-1: Strength, Shear and Moment

State of Plane StressThin-walled vessels (Mohr Circle)Triaxial Test (Application)Examples:Element subject to stresses presented by Mohr CircleBar subjected to uniaxial forceOpen tank subject to fluid pressure and axial forceClosed tank subject to internal pressure and axial forceGiven an element subject to normal and shearing stressesShear and Moment in Beams (Internal forces in beams)Examples:Beam subject to axial, shear, torque, and bendingFinding the internal forces a a particular section of a horizontal beamFinding the internal forces a a particular section of an inclined beamInternal forces on a section of a frameBeam with an applied moment

Lecture 5-2: Analytic Geometry

IntroductionPoints of Intersection of Linear and quadratic curvesCirclePoints and SegmentsTriangle (Centroid, Area, etc)Straight Lines

Lecture 5-3: Geometry

Plane Geometry (Examples)Two perpendicular chords of a circle dividing the circle in 4 partsTwo lines tangent to a circle (2 examples)Two intersecting secants of a circleArea of swimming pool made of overlapping circlesCommon chord of intersecting circlesDistance between men walking on a circular trackHeight of Mayon Volcano and the smokeApplication to fluid Forces on circular SurfacesQuadrilateralsCyclic QuadrilateralsPolygonsExample 1Example 2Example 3 - A farmer owns two square lots..Example 4 - Folded rectangleExample 5 - Building site in the form of a quadrilateralExample 6 - Quadrilateral inscribed in a circle

Lecture 5-4: Steel Design

Bolted Connection (Eccentric Load)Welded Connection (Eccentric Load)Calculator shortcutExample - Eccentrically loaded weld2015 NSCP Provisions on WeldsExampleWeld Strength

Lecture 5-5: Fluid Mechanics

Rotating Vessel ExamplesOpen cylindrical tank 1Open cylindrical tank 2Open cylindrical tank 3Rotating tube 1Rotating tube 2Rotating bucketRotation of closed cylindrical tank more than half full of waterRotation of closed cylindrical tank filled with waterFundamentals of Fluid FlowLaminar/Turbulent FlowExample 1Example 2Example 3Example 4Energy and HeadBernoulli's Equation