An Engineering Statics Outline

Chapter 1. INTRODUCTION AND REVIEW

a.

Introduction

Objective: State Newton's Laws and apply them to the study of statics

Objective: tate the importance of drawing a correct Free Body Diagram

b.

Design

Objective: State the three steps of the design process: Conceptual Design, Design Development, and Final Design

Objective: Explain the importance of proper statics analysis to the Development phase

c.

Problem Solving

Objective: Illustrate the problem solving process and adopt this process for all problem solution

Objective: State the six steps of the problem solving process.

Objective: Explain the real-world importance of documenting the solution (i.e.,"showing your work")

d.

Units

Objective: Use unit conversion to manipulate the units provided in a problem statement in order to get the desired output units.

Objective: State the base units and abbreviations used in the US and S.I. systems.

Objective: State the S.I. prefixes for positive and negative powers of ten up to 10^3.

Objective: Recognize and name the letters of the Greek alphabet.

e.

Forces in Statics

Objective: Identify ten kinds of forces (five pairs)

Objective: State the importance of correctly identifying loads on a structure.

f.

Mass vs. Force

Objective: State the units of mass and force in the US and S.I. systems

Objective: Define the unit kips.

Objective: Calculate the force of gravity on an object of a given mass.

Objective: Explain the difference between force and mass

g.

Algebra Review

Objective: Solve one equation with one unknown

Objective: Solve two equations with two unknowns

Objective: Use substitution to solve algebraic equations

Objective: Use elimination to solve algebraic equations

h.

Trigonometry Review

Objective: Use the definitions of sin, cos, and tan to find the sides and angles of right triangles

Objective: Use the law of sines, law of cosines, and law of tangents to solve polygons

Objective: Relate the Pythagorean Theorem to the Law of Cosines

i.

Geometry Review

Objective: Use the principles of parallel lines to find equal, supplementary, and complementary angles.

Objective: Given two adjacent interior angles on a triangle, find the exterior angle of the opposite point.

Objective: Describe the result when a perpendicular is drawn from the hypotenuse to the opposite vertex.

Objective: Explain what is meant by "similar triangles"

Objective: Find the measure and sum of the interior and exterior angles on an n-sided polygon.

Objective: Find the properties of an arc segment given the radius and included angle

j.

Significant Digits

Objective: State the rules of significant digits.

Objective: Given a calculation involving numbers, correctly determine the number significant digits in the result.

Objective: Discriminate between measurements and exact numbers.

Objective: Discriminate between the rules for significant digits when adding & subtracting, and those when multiplying and dividing.

Objective: Discriminate between accuracy and precision