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Its About Chapter 17

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0% found this document useful (0 votes)
18 views5 pages

Its About Chapter 17

Uploaded by

vinh.tran2006
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Its about Chapter 17:Engineering Fundamentals.

It has 5 main parts: Statics,Dynamics, Thermodynamics,


Electrical Circuits, Economics.

Here are the contents:

1. Statics

Equilibrium Equations:
 Translation: ∑F_x = 0, ∑F_y = 0, ∑F_z = 0
 Rotation: ∑M_x = 0, ∑M_y = 0, ∑M_z = 0
Internal Forces:
 Axial Force: Force acting along the longitudinal axis of a member.
 Shear Force: Force acting parallel to the cross-section of a member.
 Bending Moment: Moment acting perpendicular to the cross-section of a member.
 Torsion: Twisting moment acting on a member.
Method of Joints:
 Analyze forces at each joint, assuming the joint is in equilibrium.
 Use the equilibrium equations to solve for unknown forces.
Method of Sections:
 Cut through the structure to isolate a portion of interest.
 Apply the equilibrium equations to the isolated portion.

2. Dynamics

Kinematics:
 Velocity: v = dx/dt
 Acceleration: a = dv/dt
 Displacement: x = ∫v dt
Kinetics:
 Newton's Second Law: F = ma
 Work: W = ∫F dx
 Kinetic Energy: KE = 0.5 * m * v^2
 Potential Energy: PE = m * g * h
 Conservation of Energy: ΔKE + ΔPE = 0
Rotational Motion:
 Angular Velocity: ω = dθ/dt
 Angular Acceleration: α = dω/dt
 Torque: τ = I * α
 Rotational Kinetic Energy: KE_rot = 0.5 * I * ω^2

3. Circuit Analysis

Complex Numbers:
 Represent AC quantities as complex numbers (e.g., V = V_rms * e^(jθ)).
 Impedance: Z = R + jX (where R is resistance and X is reactance).
 Admittance: Y = 1/Z
Circuit Theorems:
 Thevenin's Theorem: Any linear circuit can be replaced by a voltage source in series
with a resistor.
 Norton's Theorem: Any linear circuit can be replaced by a current source in parallel
with a resistor.
 Superposition Theorem: In a linear circuit with multiple sources, the total response is
the sum of the responses due to each source acting alone.

4. Thermodynamics

Thermodynamic Properties:
 Temperature: A measure of the average kinetic energy of the molecules in a
substance.
 Pressure: Force per unit area.
 Volume: The amount of space occupied by a substance.
 Internal Energy: The total energy stored within a system.
 Enthalpy: H = U + PV
Thermodynamic Cycles:
 Rankine Cycle: A cycle used in steam power plants.
 Otto Cycle: A cycle used in gasoline engines.
 Diesel Cycle: A cycle used in diesel engines.
Entropy:
 A measure of the disorder or randomness of a system.
 The second law of thermodynamics states that the entropy of an isolated system always
increases or remains constant.

Material Science

Stress and Strain:


 Normal Stress: σ = F/A (force per unit area)
 Shear Stress: τ = F/A (force per unit area acting parallel to the surface)
 Normal Strain: ε = ΔL/L (change in length per unit length)
 Shear Strain: γ = Δx/L (change in angle)
Material Models:
 Linear Elastic: Stress is proportional to strain within the elastic limit.
 Plastic: Material deforms permanently after yielding.
 Viscoelastic: Material exhibits both elastic and viscous behavior.

Solid Mechanics

Beam Bending:
 Bending Moment Diagram: A plot of bending moment along the length of a beam.
 Shear Force Diagram: A plot of shear force along the length of a beam.
 Deflection Equation: Relates the deflection of a beam to the applied loads and beam
properties.
Column Buckling:
 The phenomenon of a column bending under compressive load.
 Critical load: The load at which buckling occurs.

Fluid Mechanics

Fluid Properties:
 Density: Mass per unit volume.
 Viscosity: Resistance to flow.
 Surface Tension: Force per unit length acting at the surface of a liquid.
 Capillarity: The ability of a liquid to rise in a narrow tube.
Fluid Statics:
 Hydrostatic Pressure: Pressure exerted by a fluid at rest.
 Buoyancy: The upward force exerted on an object immersed in a fluid.
Fluid Dynamics:
 Continuity Equation: Mass flow rate is conserved in a pipe.
 Bernoulli's Equation: Relates pressure, velocity, and elevation in a fluid.
 Reynolds Number: A dimensionless parameter that indicates whether flow is laminar
or turbulent.

Economics

Engineering Economics:
 Time Value of Money: The concept that money has different values at different points in time
due to interest.
 Present Worth: The equivalent value of a future amount of money at the present time.
 Future Worth: The equivalent value of a present amount of money at a future time.
 Annual Worth: The equivalent annual value of a series of cash flows.
 Internal Rate of Return (IRR): The discount rate that makes the net present value of a project
equal to zero.
Cost-Benefit Analysis:
 A method for evaluating the economic feasibility of a project by comparing its benefits to its
costs.
Depreciation:
 The allocation of the cost of a fixed asset over its useful life.

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