WEEK ONE LECTURE SUMMARIESIf you are unable to participate in a Blackboard Collaborate chat session because of unanticipated events or circumstances beyond your control, it is important that you review the archived session in detail to see what was discussed and see the explanations and answers to questions that were addressed. Then write a 1-2 page summary and submit it to this assignment tab by Saturday midnight (Pacific time) of this week. You may be given full or partial credit for the chat session based on the quality of the written submission.TextbookLimbrunner, G.F. & D’Allaird, C. (2015). Applied Statics and Strength of Materials. (6th ed). New York City, NY: Prentice Hall/Pearson.ISBN-13: 978-0-13-384054-4 Chapters 1 and 2Laith Al Any

February 3, 2021

Class #2

Overview

Review Chapter 1

Discuss Chapter 2

Homework &

Deadlines

Spatial Reasoning

https://www.fibonicci.com/spatial-reasoning/

Chapter 1 Review

1.

2.

3.

4.

5.

6.

Mechanics Overview

Applications of Statics

Mathematics of Statics

Calculations and Numerical Accuracy

Calculations and Dimensional Analysis

Units for Statics and Strength of Materials

Example: Unit Conversion

Poll

What is your field of study?

A. Construction

B. Manufacturing Design

C. Biomedical Engineering Technology

D. Electrical & Computer Engineering

Week 1 Threaded Discussion

What field of study are you in? Give an example of a

problem in your field of study that needs an

understanding of principles of statics. Describe the

information that you would need to begin solving that

problem.

Weekly Learning Outcomes

By the end of Week 1, you should be able to:

Develop an understanding of engineering mechanics as

it applies to statics

Solve statics problems with proper significant figures

and units

Describe the qualities of a force and how the

principles of force affect a body at rest

Analyze the types of forces (loads) that act on a

structure

Applied Statics and Strength

of Materials

CHAPTER

2

Principles of Statics

Applied Statics and Strength of Materials, 6e

George F. Limbrunner, Craig T. D A

̉ llaird

Copyright © 2016 by Pearson Education, Inc.

All Rights Reserved

Chapter 2 Overview

1.

2.

3.

4.

5.

6.

7.

8.

Forces and Effects of Forces (change motion or deform)

Characteristics of a Force

Units of Force (pound, kip, ton, newton)

Types of Forces

Scalar and Vector Quantities

Principle of Transmissibility

Types of Force Systems

Orthogonal Concurrent Forces: Resultants and

Components

2.2 Characteristics of a Force

2.4 Types of Forces

Concentrated force

Small area; acts at a point

Distributed force

Large area

Examples: snow on roof, water/wind pressure

Units: pounds per square foot (psf or lb/ft2)

Distributed load

Force spread out over line or narrow strip of area

Examples: weight of a beam

Units: kips/ft or N/m

2.5 Scalar and Vector Quantities

Scalar

Only magnitude

Algebraic addition

Time, volume, population,

etc.

Vector

Magnitude & direction

Vector addition

Push, pull, velocity, etc.

2.7 Types of Force Systems

1.

2.

3.

4.

5.

6.

Coplanar concurrent

Coplanar non-concurrent

Coplanar parallel

Non-planar concurrent

Non-planar non-concurrent

Non-planar parallel

When all forces act in a single plane, the forces

are said to be coplanar.

A system of several forces is concurrent when all

forces acting on the body have the same point of

application.

Or the lines of action of the forces intersect at a

common point.

Name that Coplanar Force System

a) Coplanar concurrent

b) Coplanar non-concurrent

c) Coplanar parallel

Name that Coplanar Force System

a) Coplanar concurrent

b) Coplanar non-concurrent

c) Coplanar parallel

Name that Coplanar Force System

a) Coplanar concurrent

b) Coplanar non-concurrent

c) Coplanar parallel

2.8 Components of a Force Vector

Breaking down forces into two components at right angles to

each other, called rectangular components, are most useful

when solving problems with multiple forces.

Usually determined in the

horizontal & vertical direction.

Also found in any two directions

at right angles to each other.

Governing Equations for Force

Components (Fx)

From the definition of

the cosine of an angle:

Governing Equations for Force

Components (Fy)

From the definition of

the sine of an angle:

Governing Equations for Force

Components

Fx = F cos qx

Fy = F sin qx

ALWAYS make a drawing

showing the components

of the force vector

ALWAYS label the

components as + or –

Find the rectangular components

of this force

Find the components of this

inclined wind force F = 600N

at 30 degrees from y-axis

30

Fx = F cos qx

Fy = F sin qx

ALWAYS make a drawing

showing the components

of the force vector

ALWAYS label the

components as + or –

Comments or thoughts about chapter discussed today?

Homework: Due midnight Sunday

Click on heading for Week 1 Assignment

Word or PDF file only

Ch. 1 – Introduction

1.1, 1.2, 1.6, 1.10, 1.13, 1.14, 1.20, 1.22, 1.23, 1.26

1.5 points each; 15 points total

Ch. 2 – Principles of Statics

2.3, 2.5, 2.14, 2.18, 2.20

2 points each; 10 points total

Summary

Reviewed Chapter 1

Threaded Discussion

Discussed Chapter 2

Characteristics of a Force

Types of Forces

Scalar and Vector Quantities

Types of Force Systems

Force Components

Homework

Weekly Learning Outcomes

By the end of Week 1, you should be able to:

Develop an understanding of engineering mechanics as

it applies to statics

Solve statics problems with proper significant figures

and units

Describe the qualities of a force and how the principles

of force affect a body at rest

Analyze the types of forces (loads) that act on a

structure

Week 1 Summary & Week 2 Preview

Week 1 Principles of Statics

Chapter 1 Introduction

Chapter 2 Principles of Statics

Week 2 Equilibrium

Chapter 3 Resultants of Coplanar Force Systems

Chapter 4 Equilibrium of Coplanar Force Systems

Assignments Due

Homework #1

Threaded Discussion

Quiz 1

Homework #2

Threaded Discussion

Midterm Exam

Week 3 Centroids & Moments of Inertia

Chapter 5 Analysis of Structures

Chapter 7 Centroids and Centers of Gravity

Chapter 8 Area Moments of Inertia

Week 4 Stress and Strain

Chapter 9 Stresses and Strains

Chapter 10 Properties of Materials

Homework #3

Threaded Discussion

Quiz 2

Homework #4

Threaded Discussion

Final Exam

Quiz 1

Available noon Friday (2/5) through midnight Sunday

(2/7)

10 questions

T/F, multiple choice, matching, ordering, problem

solving

60 minutes, auto-submit at end of time

Random blocks of questions, randomized questions

Laith Al Any

February 1, 2021

Class #1

Overview

Course Outline

Textbook Chapter 1

Homework &

Deadlines

Engineering Problem Solving

Poll

How many classes have you already taken on-line?

A. 0 (this is my first one)

B. 1-2

C. 3-4

D. 5+ (I’m a pro at taking on-line classes)

Course Outline

1.

2.

3.

4.

5.

6.

7.

Learning outcomes

Schedule

Grading

Homework

Threaded Discussion

Midterm & Final exam

General NU policies

1. Course Learning Outcomes

Describe the basic principles of engineering statics.

Contrast equilibrium of a particle and equilibrium of a rigid

body.

Understand major principles of stress and strain

Solve problems using the major principles of strength of

materials.

Compare and contrast applications of the strength of

materials in construction, manufacturing, biomedical, and

electrical engineering.

Apply methods of calculating centroids and moments of

inertia for bodies that are combinations of simple

geometric shapes.

2. Schedule

Week 1 Principles of Statics

Chapter 1 Introduction

Chapter 2 Principles of Statics

Week 2 Equilibrium

Chapter 3 Resultants of Coplanar Force Systems

Chapter 4 Equilibrium of Coplanar Force Systems

Assignments Due

Homework #1

Threaded Discussion

Quiz 1

Homework #2

Threaded Discussion

Midterm Exam

Week 3 Centroids & Moments of Inertia

Chapter 5 Analysis of Structures

Chapter 7 Centroids and Centers of Gravity

Chapter 8 Area Moments of Inertia

Week 4 Stress and Strain

Chapter 9 Stresses and Strains

Chapter 10 Properties of Materials

Spatial reasoning

Homework #3

Threaded Discussion

Quiz 2

Homework #4

Threaded Discussion

Final Exam

3. Grading: 1000 points total

100 points = Homework (25 points/week)

100 points = Threaded Discussion (25 points/week)

200 points = Quiz (1 and 2) (100 points/quiz).

250 points = Midterm Exam

350 points = Final Exam

4. Homework

Partial credit can be given if you get the wrong

numerical answer but I can see some correct elements

in your problem solving process.

Submitted to the Assignment tab by midnight on

Sunday for each week (1, 2, and 3) and by midnight on

Saturday for week 4.

10% will be deducted for each day that the homework

is late.

No assignments will be accepted after the solutions are

discussed in class.

Poll

Are you currently using headphones so that you can use

audio to answer questions during our Collaborate

sessions?

✓ YES

X NO

5. Threaded Discussion

Grading

(On a scale of

Quality of Information

0-25)

0-15 points =

Response is not related to the

Low

assignment; irrelevant remarks are

performance

made; response did not answer all

questions.

15-20 points = Response is related to topic;

Moderate

supporting details or examples are not

performance

included in sufficient breadth or

depth; the author simply restates

concepts made by others (textbook,

instructor).

20-25 points = Supporting details and examples are

High

both broad and deep; the author

performance

shows originality and does not restate

the textbook or instructor; all

questions are answered.

Delivery of Information

Poor spelling and grammar,

“hasty” appearance, professional

vocabulary not used, and attitude

negative or indifferent.

Few grammatical or spelling

errors, professional vocabulary

used most of the time, and

positive attitude displayed

frequently.

Consistent grammatically correct

posts with professional

vocabulary, no misspellings, and

positive attitude displayed

throughout.

6. Exams

Quiz 1

Covers week 1.

Midterm exam

Covers material in Weeks 1 & 2

Quiz 2

Covers week 3.

Final exam

Comprehensive, focuses on material in Weeks 3 & 4

You must take the exam in one sitting; the exam will

automatically save and close after time allotted.

If you have handwritten work on the problem solving questions,

you may submit it as a PDF to the Handwritten Notes area of

Blackboard. If your answer is wrong, but I see the work

attempted, you may get partial credit for the exam question.

7. General NU Policies

Academic honesty is highly valued at each National

University Campus. Students should always submit

their assignments that represent their original words

or ideas. If any words or ideas are used that do not

represent the student’s original words or ideas, the

student must cite all relevant sources.

A score of zero will be given if your homework is

copied from another student submission, instructor

solutions or another internet source.

http://www.nu.edu/OurPrograms/StudentServices/Ac

ademicPoliciesandP.html

Comments or questions about course outline?

Weekly Learning Outcomes

By the end of Week 1, you should be able to:

Develop an understanding of engineering

mechanics as it applies to statics

Describe the four qualities of a force and how the

principles of force affect a body at rest

Analyze the types of forces (loads) that act on a

structure

Solve statics problems with proper significant

figures and units

Applied Statics and Strength

of Materials

CHAPTER

1

Introduction

Applied Statics and Strength of Materials, 6e

George F. Limbrunner, Craig T. D A

̉ llaird

Copyright © 2016 by Pearson Education, Inc.

All Rights Reserved

Chapter 1 Overview

1.

2.

3.

4.

5.

6.

Mechanics Overview

Applications of Statics

Mathematics of Statics

Calculations and Numerical Accuracy

Calculations and Dimensional Analysis

Units for Statics and Strength of Materials

1. Mechanics Overview

Why study statics and strength of

materials?

Statics, one of the oldest branches of science,

is the study of forces and the effect of forces

on physical systems that are in equilibrium.

Strength of materials, or mechanics of materials,

establishes…

The connection between the external forces applied

to a physical system.

The resulting deflections or deformations of that

system.

The intensity of the internal forces (stress) in the

system.

2. Applications of Statics

Bridges and skyscrapers

Screwdrivers, hinges, springs, & mechanical

components found in virtually all consumer products

There will always be improvements in materials,

manufacturing processes & construction methods.

Applications of Statics

The Grand Canyon Skywalk is a

cantilevered, horseshoe-shaped

walkway, opened to tourism in 2007.

The walkway was engineered to withstand 100 mph winds & a

magnitude 8.0 earthquake.

Applications of Statics

2007 collapse of the I-35W Mississippi river bridge in

Minnesota where 13 people died.

Collapse due to

inadequate strength

or overloading of

critical members.

Public perception is

usually that poor

engineering design is

to blame.

Applications of Strength of

Materials

Early in the morning of June 28, 1983, a 100-ft by 3-lane

section of the Mianus River Bridge on I-95 in

Greenwich, Connecticut, collapsed.

Metal corrosion and fatigue in the bridge’s supporting

structure, had gone unnoticed due to deferred maintenance.

In 1986, more than 86,000 Bjork-Shiley Convexo-

Concave mechanical heart valves were recalled.

Metal fractures would cause a patient’s heart to contract

& require immediate emergency surgery.

From 1997 to 2006, there were 818

crane-related fatalities in the U.S.

The size of these

structures (20 to 30 stories

high)

and magnitudes of their

loads & counterbalances

makes them susceptible to

tipping and collapse due

to unbalanced forces.

Force

To describe a force, we need to specify:

Magnitude – given by a certain number of force units.

2. Direction – which may be may be given by the angle

the force makes with a selected reference axis.

3. Point of application – the point at which force is

applied.

1.

Systems of forces can be calculated mathematically

using geometry

Poll

I would rate my ability in solving geometric problems as:

A. I hate geometry.

B. Ok – if I have the formulas handy nearby

C. Good – me and my scientific calculator work well

together

D. I’m a geometry genius!

3. Mathematics of Statics

Examples: Ladder and roof truss

with right triangles

1.6 TRIGONOMETRIC FUNCTIONS

Sides b and c of the triangle form angle A.

Sides a and c form angle B.

The right angle is angle C.

The side c opposite the right angle is called the

hypotenuse.

Formulas for Right Triangles

– Tangent

• tan A

– Sine

• sin A

– Cosine of

the angle A

• cos A

Two other relationships are helpful

in the analysis of right triangles

The first states that the sum of the three angles in

any triangle is always equal to 180 degrees.

• The second relationship, applied only to right

triangles, is known as the Pythagorean theorem:

The square of the hypotenuse is equal to

the sum of the squares of the remaining two sides.

Example 1.3: Load-bearing cables

with oblique triangles

Law of Cosines

Law of Sines

Example 1.4: Cable-supported rigging

boom with oblique triangles

6. SI Units and Symbols

As a general rule, solve problems in

the same units as those used to

give data for the problem.

Significant Digits

Accuracy of a numerical value is often expressed in

terms of significant digits the value contains.

Any nonzero digit is considered significant.

Zeroes to the left or right of digit sequence are used to locate

the decimal point and are not considered significant.

The numbers 0.00345, 3.45 3450, and 3,450,000

all contain three significant digits.

The accuracy of a solution can be no greater than the

accuracy of the data on which it is based.

Comments or thoughts about chapters discussed today?

Homework: Due midnight Sunday

Click on heading for Week 1 Assignment

Single Word or PDF file only

Ch. 1 – Introduction

1.1, 1.2, 1.6, 1.10, 1.13, 1.14, 1.20, 1.22, 1.23, 1.26

1.5 points each; 15 points total

Ch. 2 – Principles of Statics

2.3, 2.5, 2.14, 2.18, 2.20

2 points each; 10 points total

Summary

Course Outline

Chapter 1

Homework

Quiz 1

Weekly Learning Outcomes

By the end of Week 1, you should be able to:

• Develop an understanding of engineering

mechanics as it applies to statics

• Solve statics problems with proper significant

figures and units

• Describe the four qualities of a force and how the

principles of force affect a body at rest

• Analyze the types of forces (loads) that act on a

structure

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