Civil Engineering What is it?. Definition of Engineering “the profession in which a knowledge of the mathematical and natural sciences gained by study,

Civil Engineering

What is it?

Definition of Engineering

• “the profession in which a knowledge of the mathematical and natural sciences gained by study, experience, and practice is applied with judgement, to develop ways to utilize, economically, the materials and forces of nature for the benefit of mankind”

The Accreditation Board for Engineering and Technology

Huh?

• What do you think this means?

Engineering Involves:

• Problem definition and problem solving• Developing devices, processes,

structures and systems• Applying knowledge of science and

math – Physics, chemistry, material behavior– Integral Calculus, differential equations,

statistic

What is a Civil Engineer?

•Improves quality of life through the provision of infrastructure-Buildings, bridges and other structures

-Highways

- Dams and levees

-Water treatment plants, waste disposal

•Safety, functionality, elegance and economy of product and process

Roles of Civil EngineersRoles of Civil Engineers• Research• Development• Design• Production and Testing• Construction

• Research• Development• Design• Production and Testing• Construction• Operations• Sales• Management• Consulting• Teaching

• Operations• Sales• Management• Consulting• Teaching

Distance Formula

The distance between two points A(x1, y1) and B(x2 , y2 ) is

d = (x2 −x1)2 + (y2 −y1)

2

Example:

Find the distance between A(5,2) and B(3,12)

d = (3−5)2 + (12 −2)2

d= (−2)2 + (10)2

d= 4 +100

d= 104 ≈10.198

Your turn!

Find the distance between these points:

1) C(1,4) D(3,2)

2) Q(-4,4) R(7,-2)

3) X(-3,-4) Y(8,5)

Answers:

1)  8 =2.83

2) 157 =12.53

3)  202 =14.21

Try this one from a graph!

Answer:Answer:

d = (7 −0)2 + (0 −5)2

d= 72 + (−5)2

d= 49 + 25

d= 74 ≈8.60

Our Engineering Problem!Our Engineering Problem!

We have been hired by the great state of Nebraska to design a road that will connect Huskerville and Big Red City. Both Huskerville and Big Red City are towns right on the Platte River that during game day are very popular. Thus, we want a

road that connects the two.

We have been hired by the great state of Nebraska to design a road that will connect Huskerville and Big Red City. Both Huskerville and Big Red City are towns right on the Platte River that during game day are very popular. Thus, we want a

road that connects the two.

RequirementsRequirements

You want the shortest road possible, yet stay under budget.

Bridges cost $10 million/mile to build

Roads over land cost $1 million/mile to build

You want the shortest road possible, yet stay under budget.

Bridges cost $10 million/mile to build

Roads over land cost $1 million/mile to build

Specifications:

Huskerville is 12.35 miles to the North and 23.84 miles to the west of Big Red City

For example:

• If I decided to put the bridge to the point (8,0) I would have to figure these two distances then multiply them buy their costs.

Bridge CalculationsBridge Calculations

From (0,12.35) to (8,0)

Cost = 14.71 10 = 147.10 million dollars

From (0,12.35) to (8,0)

Cost = 14.71 10 = 147.10 million dollars

d = (8 −0)2 + (0 −12.35)2

d= 82 + (−12,35)2

d= 64 +152.52 ≈14.71 miles

Road CalculationsRoad Calculations

Distance from (8,0) to (23.84,0) is

23.84 - 8 = 15.84 miles

Cost= 15.84 1 = 15.84 million dollars

Distance from (8,0) to (23.84,0) is

23.84 - 8 = 15.84 miles

Cost= 15.84 1 = 15.84 million dollars

Total Cost and Distance:Total Cost and Distance:

Total Cost = Bridge cost + Road CostTotal Cost = 147.10 + 15.84 = $162.94 million dollars

Total Distance = 14.71 + 15.84 = 30.55 miles

Total Cost = Bridge cost + Road CostTotal Cost = 147.10 + 15.84 = $162.94 million dollars

Total Distance = 14.71 + 15.84 = 30.55 miles

Conclusion:

» We are under our budget. » Can we make a shorter road

that costs a little more, but still under $185 million?

» In teams of two, you try. There is a prize for the winner!!!