1. Axial member and axial force.
2. Trusses.
Wood truss is the most popular structure in residential houses in America. Metal truss is used in school, business center, and stores.
3. Zero force member.
Member does not have any force running through it. If it is removed from structure, the analysis results on the rest members will not be changed.
4. Method of joints.
5. Method of sections.
6. Superposition of loads.
7. Transverse truss.
8. Two dimensional mechanics.
9. Three dimensional equilibrium.
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Tuesday, October 16, 2012
Monday, October 15, 2012
FE - Equilibrium - Statics - Engineering mechanics
1. Force systems.
2. Condition of equilibrium.
3. Two force member.
4. Three force member.
5. Reactions.
6. Determinacy.
7. Determinate beams.
8. Free-body diagrams.
9. Level, pulley, and hinges.
2. Condition of equilibrium.
3. Two force member.
4. Three force member.
5. Reactions.
6. Determinacy.
7. Determinate beams.
8. Free-body diagrams.
9. Level, pulley, and hinges.
Sunday, October 14, 2012
FE - Force system - Statics - Engineering mechanics
1. Internal and external forces.
2. Concentrated forces and distributed forces.
3. Moments and components of moment.
4. Moment about a point and a line.
5. Couples.
When two forces are in the same plane, if they are not in the same line, if they are parallel, and if they point to opposite directions, they are a force couple.
6. Equivalence of force and couple system.
2. Concentrated forces and distributed forces.
3. Moments and components of moment.
4. Moment about a point and a line.
5. Couples.
When two forces are in the same plane, if they are not in the same line, if they are parallel, and if they point to opposite directions, they are a force couple.
6. Equivalence of force and couple system.
Saturday, October 13, 2012
FE - Energy, work, and power - Dynamics - Engineering mechanics
1. Energy of mass.
When mass have been moved with different speed or changed direction, energy will be added or removed from mass.
2. Work.
3. Power.
4. Potential energy.
5. Kinetic energy.
6. Spring energy.
7. Pressure energy.
8. Work energy relationship.
9. Law of conservation of energy.
10. Energy conversion.
When mass have been moved with different speed or changed direction, energy will be added or removed from mass.
2. Work.
3. Power.
4. Potential energy.
5. Kinetic energy.
6. Spring energy.
7. Pressure energy.
8. Work energy relationship.
9. Law of conservation of energy.
10. Energy conversion.
Friday, October 12, 2012
FE - Fluid measurement - Fluid mechanics
1. Pressure measuring devices.
2. Barometers.
3. Manometers.
4. Pitot tube.
2. Barometers.
3. Manometers.
4. Pitot tube.
FE - Fluid energy and flow - Fluid mechanics
1. Fluid energy unit.
2. Kinetic energy.
3. Potential energy.
4. Pressure energy.
5. Impact energy.
6. Specific energy.
7. Energy grade line.
8. Laminar flow.
9. Turbulent flow.
10. Critical flow.
2. Kinetic energy.
3. Potential energy.
4. Pressure energy.
5. Impact energy.
6. Specific energy.
7. Energy grade line.
8. Laminar flow.
9. Turbulent flow.
10. Critical flow.
FE - Fluid statics - Fluid mechanics
1. Hydrostatic pressure.
2. Horizontal plane surface pressure.
3. Vertical plane surface pressure.
4. General plane surface pressure.
5. Curved and compound surface pressure.
6. Compressible fluid pressure.
7. Buoyancy and stability of floating objects.
2. Horizontal plane surface pressure.
3. Vertical plane surface pressure.
4. General plane surface pressure.
5. Curved and compound surface pressure.
6. Compressible fluid pressure.
7. Buoyancy and stability of floating objects.
FE - Fluid properties - Fluid mechanics
1. Characteristics of fluid.
2. Types of fluid.
3. Density, specific gravity, and specific weight.
4. Viscosity and kinematic viscosity.
5. Vapor pressure and osmotic pressure.
6. Capillary action and surface tension.
7. Compressibility.
8. Bulk modulus.
9. Speed of sound in fluid.
2. Types of fluid.
3. Density, specific gravity, and specific weight.
4. Viscosity and kinematic viscosity.
5. Vapor pressure and osmotic pressure.
6. Capillary action and surface tension.
7. Compressibility.
8. Bulk modulus.
9. Speed of sound in fluid.
FE - Pipe and pipe system - Fluid mechanics
1. Fluid velocity distribution in pipe.
2. Stresses in thin-walled tanks.
3. Pipe materials and sizes.
4. Water hammer.
5. Series pipe system.
6. Parallel pipe system.
2. Stresses in thin-walled tanks.
3. Pipe materials and sizes.
4. Water hammer.
5. Series pipe system.
6. Parallel pipe system.
Thursday, October 11, 2012
FE- Uncertainty - Engineering economic analysis
1. Forecasting.
2. Sensitivity analysis.
3. Expected value.
4. risk.
2. Sensitivity analysis.
3. Expected value.
4. risk.
FE- Analysis - Engineering economic analysis
1. Break-even analysis.
2. Pay-back period.
3. Management goal.
2. Pay-back period.
3. Management goal.
FE- Cost - Engineering economic analysis
1. Opportunity cost.
2. Salvage value.
3. life cycle cost.
4. Book value.
5. Fix and variable costs.
6. Cost of goods.
7. Inflation.
8. Amortization.
9. Depletion.
10. Depreciation recovery.
11. Consumer loans.
12. Tax consideration.
2. Salvage value.
3. life cycle cost.
4. Book value.
5. Fix and variable costs.
6. Cost of goods.
7. Inflation.
8. Amortization.
9. Depletion.
10. Depreciation recovery.
11. Consumer loans.
12. Tax consideration.
FE- Cash flow - Engineering economic analysis
1. Cash flow diagrams.
2. Cash flow types.
3. Cash flow factors.
4. Single payment equivalence.
5. Rate of return.
6. Simple and compound interests.
7. Investment durations.
8. Interest rate and period.
2. Cash flow types.
3. Cash flow factors.
4. Single payment equivalence.
5. Rate of return.
6. Simple and compound interests.
7. Investment durations.
8. Interest rate and period.
Wednesday, October 10, 2012
FE - Engineering - Probability and statistics
1. Set theory.
2. Combinations and permutations.
3. Probability theory.
4. Joint probability.
5. Complementary probability.
6. Conditional probability.
7. Possion distribution.
8. Continuous distribution.
9. Exponential distribution.
10. Normal distribution.
11. Binomial distribution.
12. Hypergeometric distribution.
13. Analysis of experimental data.
14. Central limit theory.
15. Confidence level.
16. Linear regression.
2. Combinations and permutations.
3. Probability theory.
4. Joint probability.
5. Complementary probability.
6. Conditional probability.
7. Possion distribution.
8. Continuous distribution.
9. Exponential distribution.
10. Normal distribution.
11. Binomial distribution.
12. Hypergeometric distribution.
13. Analysis of experimental data.
14. Central limit theory.
15. Confidence level.
16. Linear regression.
Tuesday, October 9, 2012
FE - Math - Number system
1. Binary number system.
2. Octal number system.
3. Hex number system.
4. Conversions among number systems.
5. Computer arithmetic.
2. Octal number system.
3. Hex number system.
4. Conversions among number systems.
5. Computer arithmetic.
FE - Math - Differential equations
1. Differential equations.
2. First order linear differential equations.
3. Second order linear differential equations.
4. Nonhomogeneous differential equations.
5. Laplace transforms.
6. Algebra of Laplace transforms.
7. Third and higher order linear differential equations.
2. First order linear differential equations.
3. Second order linear differential equations.
4. Nonhomogeneous differential equations.
5. Laplace transforms.
6. Algebra of Laplace transforms.
7. Third and higher order linear differential equations.
Monday, October 8, 2012
FE - Math - Integral calculus
1. Integration and operations.
2. Integration by parts.
3. Initial values.
4. Calculate area between functions.
5. Calculate arc length.
6. Surface area made by the revolution of line.
7. Volume made by revolution of line.
8. Fourier series.
9. Fast Fourier transforms.
10. Integral functions.
2. Integration by parts.
3. Initial values.
4. Calculate area between functions.
5. Calculate arc length.
6. Surface area made by the revolution of line.
7. Volume made by revolution of line.
8. Fourier series.
9. Fast Fourier transforms.
10. Integral functions.
FE - Math - Differential calculus
1. Derivative.
2. Derivative operations.
3. Partial differentiation.
4. Implicit differentiation.
5. Gradient vector.
6. Normal line vector.
7. Taylor's formula.
8. Common series.
2. Derivative operations.
3. Partial differentiation.
4. Implicit differentiation.
5. Gradient vector.
6. Normal line vector.
7. Taylor's formula.
8. Common series.
Sunday, October 7, 2012
FE- Math - Analytic geometry
1. Coordinate systems.
2. Geometric definitions.
3. Congruency.
4. Curves and symmetry of curves.
5. Lines.
6. Intersection of lines.
7. Plane.
8. Areas, distances, and angles.
9. Circle.
10. Parabola.
11. Ellipse.
12. Hyperbola.
13. Sphere.
2. Geometric definitions.
3. Congruency.
4. Curves and symmetry of curves.
5. Lines.
6. Intersection of lines.
7. Plane.
8. Areas, distances, and angles.
9. Circle.
10. Parabola.
11. Ellipse.
12. Hyperbola.
13. Sphere.
FE- Math - Trigonometry
1. Angle measurement units - degree and radians.
2. Angle in plane.
3. Triangles.
4. Graphs of functions.
5. Trigonometric functions.
6. Inverse trigonometric functions.
7. Hyperbolic functions.
8. Spherical trigonometry.
2. Angle in plane.
3. Triangles.
4. Graphs of functions.
5. Trigonometric functions.
6. Inverse trigonometric functions.
7. Hyperbolic functions.
8. Spherical trigonometry.
Saturday, October 6, 2012
FE - Math - Vectors
1. 2D vector and 3D vector.
2. Unit vector.
3. Vector operations - addition and multiplication with scalar.
4. Vector cross product.
5. Vector dot product.
6. Vector functions.
2. Unit vector.
3. Vector operations - addition and multiplication with scalar.
- Addition and substraction
- Dot product and scalar product
- Cross product and vector product
- Gradient
- Divergence
- Curl
- Identities
4. Vector cross product.
5. Vector dot product.
6. Vector functions.
Friday, October 5, 2012
FE - Math - Linear algebra
1. Matrix and matrix types.
2. Matrix operations - addition, subtraction, and multiplication.
3. Matrix determinants.
4. Matrix transpose.
5. Matrix singularity and rank.
6. Matrix inverse.
7. Linear equations in matrix forms.
8. Solving simultaneous linear equations by matrix.
9. Eigenvalues and Eigenvectors of matrix.
- Multiplication
- Addition
- Identity
- Transpose
- Inverse
- Determinants
2. Matrix operations - addition, subtraction, and multiplication.
3. Matrix determinants.
4. Matrix transpose.
5. Matrix singularity and rank.
6. Matrix inverse.
7. Linear equations in matrix forms.
8. Solving simultaneous linear equations by matrix.
9. Eigenvalues and Eigenvectors of matrix.
FE - Math - Algebra
1. Equations and roots.
3. Logarithms.
5. Complex numbers and operations.
6. Series and series convergence.
- Straight line
- Quadratic equation and roots
- Parabola
- Ellipse
- Hyperbola
- Circle
- Conic section equation
- Sphere
3. Logarithms.
- Base changing rule
- Identities
5. Complex numbers and operations.
6. Series and series convergence.
Tuesday, October 2, 2012
Road Map to FE
FE
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Monday, October 1, 2012
Angles, distances, and trigonometry - civil survey
In surveying, trigonometry is fundamental math. It is used to determine angle, distance, height, location.
1. The three basic functions are sin(theta), cos(theta), and tan(theta).
2. Law of sines.
3. Law of cosines.
4. Pythagorean theorem.
The most useful rules in surveying are Triangles Similar rules.
1. The three basic functions are sin(theta), cos(theta), and tan(theta).
2. Law of sines.
3. Law of cosines.
4. Pythagorean theorem.
The most useful rules in surveying are Triangles Similar rules.
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