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An Engineering Statics Outline

Chapter 4. ENGINEERING SYSTEMS—SINGLE BODY EQUILIBRIUM

a.

Drawing FBDs of a Single Subsystem

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Objective: Draw the free body diagram for an identified subsystem with engineering connections, representing all interactions with parts external to the subsystem

b.

Equilibrium of a Single Subsystem

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Objective: Account properly for forces and couples in equilibrium equations, and deduce their actual senses given their signs found from equilibrium and their assumed senses

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Objective: Account properly for pre-modeled known distributed force described as q(x)

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Objective: Account properly for unknown distributed contact forces, and interpret the results of solution by recognizing physically impossible outcomes

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Objective: Find the range of a parameter that ensures equilibrium, or the configuration that minimizes or maximizes a force

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Objective: Use equilibrium conditions in a qualitative way, without actually solving them, to: make informed assumptions about senses of unknowns, recognize arrangements incapable of being in equilibrium, check the correctness of the senses of forces determined from

c.

Choosing a Solvable Subsystem

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Objective: Choose a solvable subsystem for simple systems (without engineering connections)

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Objective: Choose a solvable subsystem for systems with engineering connections

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Objective: Choose a solvable subsystem for systems with pulleys

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Objective: Choose a solvable subsystem by recognizing two-force members when present

Chapter 5. MULTIPLE BODY EQUILIBRIUM—TRUSSES

a.

Method of Joints

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Objective: Solve for forces in trusses using the methods of joints

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Objective: Determine forces in bars connected to a single solvable joint

b.

Method of Sections

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Objective: Determine internal forces in bars for a given section

Chapter 6. MULTIPLE BODY EQUILIBRIUM—FRAMES

a.

Drawing FBDs of Multiple Subsystem

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Objective: Represent all interactions with external parts on FBDs of identified subsystems that are parts of a larger system, indicating all their known and unknown attributes, and obeying Newton's 3rd law

b.

Solving Multiple Subsystems

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Objective: Solve for all unknowns given a set of subsystems, by imposing successive equilibrium equations each containing one unknown.

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Objective: Identify sequence of fully solvable subsystems when present, and solve for all unknowns imposing successive equilibrium equations each containing one unknown

Chapter 7. FORCES IN THREE DIMENSIONS

a.

Parallel Force Resolution

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Objective: Apply the concepts of two-dimensional statics to the solution of static structures in three dimensions

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Objective: Parallel Axis Theorem

b.

Parallel Force Equilibrium

c.

Forces in Space

d.

Concurrent Force Equilibrium

e.

Non-Concurrent Force Equilibrium

Chapter 8. FRICTION

a.

Plane Friction

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Objective: Explain the concepts and theories underlying the nature of friction

b.

The Laws of Friction

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Objective: Define and be able to calculate the coefficients of static and kinetic friction

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Objective: Solve a friction problem using analytic, trigonometric, and graphical techniques

c.

Disc Friction

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Objective: Calculate the resisting moment developed by the friction between a surface and a rotating disk (Disc friction)

d.

Ramp Friction

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Objective: Given a specific set of conditions, determine if the state of a body is static, motion impending, moving at constant velocity, or accelerating (Plane and Ramp Friction)

e.

Wedge Friction

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Objective: Calculate the forces developed on a body when multiple surfaces of the body are exposed to friction (Wedge Friction)

f.

Square Threaded Screws

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Objective: Calculate the torque required to achieve a specific clamping force in a square-threaded screw

g.

Belt and Wrap Friction

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Objective: Determine the tension in a rope or belt system given the geometry of the system and the coefficient of friction

Chapter 9. MOMENT OF INERTIA

a.

Moment of Inertia of Plane Sections

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Objective: Calculate the area moment of inertia of simple geometric shapes

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Objective: Definition of the Mass Moment of Inertia

b.

Moment of Inertia of Composite Sections

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Objective: Calculate the area moment of inertia of composite geometric shapes

c.

Moment of Inertia of Standard Sections

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Objective: Determine the area moment of inertia of standard structural sections

d.

Moment of Inertia of Built-up Sections

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Objective: Determine the area moment of inertia of built-up structural sections

e.

Mohr's Circle for Moment of Inertia

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Objective: Use Mohr's circle to determine the maximum and minimum area moments of inertia and the rotation of the principle axis about which this occurs for asymmetrical sections