Course 4

GERTC Review Lectures

Course 4

Lecture 4-1: Strength of Materials

Simple Stress Problems (Hankinson's Formula)Axial Deformation ProblemsHeavy MoldingPrecast Concrete Slab Supported by CablesBeam Pinned at One End and Cable Support at the Other EndTimber Member Subject to Three Axial LoadsDeflection of TrussStatically Indeterminate Problems (axial load)Steel Tube Filled with ConcreteSlab Supported by Three CablesStraight Bar Fixed at Both EndsLoad Supported by Three Steel RodsLoad Supported by Three Rods and a Rigid BarStress at an Inclined Plane (Mohr Circle)

Lecture 4-2: Steel Design

Bolted Connection (LRFD NSCP 2015)Bolt BearingBlock ShearExample - Lap Joint with Nine BoltsEccentrically Loaded ConnectionExampleUsing MODE 3-2

Lecture 4-3: Algebra

Rational Equations - ExamplesRadical Equations - ExamplesSimultaneous Linear EquationsPartial Fraction Decomposition - ExamplesCase ICase IICase III

Lecture 4-4: Geometry and Surveying

Traverse (Subdivision)Triangulation ExamplesTriangulation StationsTwo Intervisible PointsSounding BoatPractice ProblemsPlane GeometryTrianglesCircles (Theorems of Circle)Sector, Arc, etcCircle Inscribed in a TriangleCircle Circumscribed About a TriangleCircle Escribed About a TriangleExamplesArea of Inner TriangleArea of Equilateral Triangle with a Given Point InsideArea of Corner LotThree Circles Tangent ExternallyTwo Circle Tangent Internally to a Third CircleLength of Cross BeltMaximum Area the Goat can Cover

Lecture 4-5: Fluid Mechanics

Relative Equilibrium of LiquidsHorizontal MotionExamplesForce Acting on the Side of the TankRequired Accelerating ForceTotal force at the Bottom of the TankWater Remaining in the TankInclined MotionExample 1Example 2Vertical MotionExample 1Example 2Rotating VesselExample 1