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Mathematics
Algebra
Sample Problems
Plane and Spherical Trigonometry
Sample Problems
Right Triangle
General Triangle
Trigonometric Identities
Plane and Solid Geometry
Sample Problems
Triangle
Circle
Quadrilateral
Polygons
Parabolic Segment and Spandrel
Ellipse
Differential Calculus
Sample Problems
Engineering Economics
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Probability and Statistics
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Surveying and Transportation Engineering
Surveying
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Traffic and Transportation Engineering
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Curves and Earthworks
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Fluid Mechanics and Hydraulics
Fluid Pressure
Sample Problems
Buoyancy and Floatation
Sample Problems
Relative Equilibrium of Liquids
Sample Problems
Fluid Flow and Pipes
Sample Problems
Fluid Flow Measurement
Sample Problems
Open Channel
Sample Problems
Hydrodynamics and Water Hammer
Sample Problems
Geotechnical Engineering
Soil Properties and Classification
Sample Problems
Flow of Water Through Soil
Sample Problems
Stresses in Soil and Stress Distribution
Sample Problems
Settlement and Consolidation
Sample Problems
Shear Strength of Soil (Triaxial)
Sample Problems
Lateral Earth Pressure and Slope Stability
Sample Problems
Bearing Capacity and Piles
Sample Problems
Structural Engineering
Mechanics - Statics
Sample Problems
Strength of Materials
Sample Problems
Theory of Structures
Sample Problems
Cantilever Beam Formulas
Simple Beam Formulas
Propped Beams
Pile Pick-up and Storage Details
Steel Design
Sample Problems
Tension Members
Bolts and Threaded Parts
Bolted Connection
Reinforced Concrete
Sample Problems
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Course 6
GERTC Review Lectures
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Course 6
Lecture 6-1: S
hear and Moment
Cylindrical Tank (Mohr Circle)
Shear and Moment in Beams
Curved Beams
Shear and Moment Equations and Diagrams
Properties of Shear and Moment Diagrams
Cantilever Beams
Simple Beams
Example 1 - Simple beam with uniform and concentrated load
Example 2 - Simple beam with overhang
Example 3 - Simple beam with overhang and applied moment
Example 4 - Beam with fixed end and internal hinge
Example 5 - Concrete Pad with two equal uniform load
Example 6 - Concrete pad subject to unequal uniform load
Example 7 - Pick up point (2 pick-points) of precast concrete pile
Example 8 - Single pick-up point - concrete pile
Lecture 6-2:
Steel Design
Eccentrically loaded welded connection
Axially loaded Members(Columns) (2001 and 2015 NSCP)
Slenderness Limits and Effective Length
Alignment Chart
Example 1 - Column hinged at both ends
Assumptions of alignment chart
Sidesway inhibited vs. uninhibited
The ratio G in the alignment chart
Column reduction factor
Example 2 - Alignment chart
Example 3 - Alignment chart two storey moment frame assuming inelastic behavior
Flexural Members (Beams)
Bending planes
Buckling of Compression Flange
Classification of Sections
Allowable bending stress (2001 NSCP)
Example 4 - Simple beam
Example 5 - Laterally supported beam
Lecture 6-3:
Plane Geometry
Examples:
Cyclic Quadrilaterals (Ptolemy’s Theorem)
Area of quadrilateral
Quadrilateral inscribed in a semi-circle
Irregular four-sided figure inscribed in a circle
Quadrilateral circumscribed about a circle
Parabolic Segment and spandrel of parabola
Spandrel of parabola 1
Spandrel of parabola 2
Regular Pentagon
Scale of a map
Regular hexagon 1
Regular hexagon 2
Regular five-pointed star
Octagonal lot divided into two
Lecture 6-4:
Analytic Geometry
Distance from a Point to a Line
Examples
D
istance of point to a line
Circle tangent to a line
Line bisecting given two lines
Distance Between Parallel Lines
Examples
Distance between two lines
Angle Between Lines
Example
Angle between two lines
Line bisecting the acute angle between given two lines
Circles and lines
Example
Length of line tangent to a circle
Length of tangent line
Radical axis of circles
Line passing through points of intersection of two circles
Equation of curve connecting the centers of circles
Locus of center of circles tangent to y-axis and another circle
Lecture 6-5:
Fluid Mechanics
Bernoulli’s Energy Theorem
Energy and Hydraulic Gradelines
Power and efficiency
Examples:
Pipe with pump 1
Pipe with pump 2
Pipe with turbine
Large tank with compressed air
Water issuing a nozzle
Reynold’s Number
Velocity distribution in pipes
Shear stress in pipe wall
Shear/friction velocity
Head Losses in Pipes
Minor/Major Losses
Example 1
Example 2 - Moody Diagram
Example 3 - Syringe
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