Course 7

GERTC Review Lectures

Course 7

Lecture 7-1: Shear and Moment and Moving Loads

Shear and moment in beams examplesSimple beam with cableLinearly varying load (triangular)Linearly varying load (trapezoidal)Given shear diagram 1Given shear diagram 2Parabolically varying loadMoving loadsSingle moving LoadTwo and more moving loadsExampleTwo moving loadsThree moving loadsInfluence lines in beamsApplicationH loading crossing a beam with overhang

Lecture 7-2: Analytic Geometry

Conic sectionsParabola and examplesEquation given vertex and latus rectumFinding the elements given equation of parabolaPlotting parabolasEllipse elements and examplesGiven center, eccentricity and focusElements of ellipse from given general equationHyperbola elements and examplesEquation and elements from given center and lengths of axesElements of hyperbola from given general equation

Lecture 7-3: Solid Geometry

Solid Geometry FormulasPrisms / Pyramids/frustum / Cones/frustum /Spherical segments/sectors/ CylindersExamplesSpider and flyPentagonal prismBlock of wood with surface painted blueSwimming pool with sloping bottomTruncated prismCylinder with inclined axisCylindrical boiler made from metal sheet of known areaWater from from big to small tankTriangular troughConcrete block placed inside a water tankClosed tank partially filled with waterCone formed from a sector of a circleRight circular cone of known lateral areaClosed conical tank shifted from upright to inverted positionStructural beam with all dimensions reducedCar scaled to a model car

Lecture 7-4: Steel Design

Examples:Beam (2001 NSCP)Combined axial and bending (2001 NSCP)Beams (2015 NSCP)Plastic yieldingPlastic hingeShape classificationDesign analysis considerationsLateral torsional bucklingFlange local bucklingExample 1Example 2Base plates2001 NSCP2015 NSCPExample 3

Lecture 7-5: Fluid Mechanics

ExamplesWater pumped from lower to upper tankVelocity distribution in pipeVelocity distribution in pipe 2Velocity distribution in pipe 3Velocity distribution in pipe 4Pipe networksPipes in seriesPipe in parallelThree reservoirExamples: Pipes in seriesPipes in series 2Pipes in parallelReservoir with pumpReservoir with turbineThree reservoir with known pressure at the junctionFluid flow measurementsOrificeExample 1