Bridges to Math. Students will collect bridge statistics to use for measurement calculations and comparisons.

Transcription

1 Activity #12 (Part 1 of 8) Bridges to Math Objectives: Students will collect bridge statistics to use for measurement calculations and comparisons. Materials: Student worksheets Internet access or Bridges of Illinois sheet (attached) Calculators Methods: Teacher demonstration, cooperative learning, interactive participation Procedures: 1. Have the students find length and width facts about famous bridges in Illinois using the attached information sheet or using the Internet. (Teache rs Choice) 2. Students calculate the requested items on Worksheet 2 Part 2: Comparing Data (see attached) based on the bridges they chose. Conclusions: Discuss with students the type of bridges they saw compare and contrast them. Have students map where these bridges are located in the state and why different types of bridges might be needed throughout the state.

2 Activity #12 (Part 2 of 8) Bridges to Math Comprehension Student Worksheet Using the Bridges in Illinois handout or the Internet, select your choice of 4 bridges. Search for the following information. Bridge #1: Part 1: Collecting Data Location in the State Name of Bridge Type of Bridge Length Width What is the surface area of your bridge? (Hint: Formula for area is length time width and is written in square units) Show your work here: Bridge #2: Location in the State Name of Bridge Type of Bridge Length Width What is the surface area of your bridge? (Hint: Formula for area is length time width and is written in square units) Show your work here:

3 Activity #12 (Part 3 of 8) Bridge #3: Location in the State Name of Bridge Type of Bridge Length Width What is the surface area of your bridge? (Hint: Formula for area is length time width and is written in square units) Show your work here: Bridge #4: Location in the State Name of Bridge Type of Bridge Length Width What is the surface area of your bridge? (Hint: Formula for area is length time width and is written in square units) Show your work here:

4 Activity #12 (Part 4 of 8) Bridges to Math Comprehension Student Worksheet Part 2: Comparing Data (>, <, =) BRIDGE #1 is to BRIDGE #2 BRIDGE #3 is to BRIDGE #3 List your bridges in order, least in area to largest in area: What parts of your bridge show "parallel lines" and "intersecting lines"? Sketch a picture of these lines and label. Adapted from:

5 Activity #12 (Part 5 of 8) Illinois Bridges Michigan Avenue Bridge This is essentially the "Main Street Bridge" of Chicago, since it carries a busy roadway, and has been decorated to give it the feel of a gateway bridge. It is the most well-known of the Chicago bascule bridges. The design of the trusses and the bridge itself is not out of the ordinary, but the decorations such as the bridge-tender towers on this bridge, and the plaques on the bridge set this aside from other Chicago bridges. The city has furthered this bridge's unique appearance by flying various flags on the bridge as well. The bridge was built from as two parallel bridges that operate independently of one another. It has a width of feet and spans 399 feet. It was designed by architect Edward H. Bennett, and is an early example of a fixed trunnion bascule bridge, which later became widely known as a "Chicago style bascule".that carries Michigan Avenue across the Chicago River, the boundary between the Loop and Near North Side community areas, in downtown Chicago. It lies at the foot of the Magnificent Mile, between the Wrigley Building and Tribune Tower to the north and the London Guarantee Building and 333 North Michigan across Wacker Drive to the south, and it is part of the Michigan-Wacker Historic District.

6 Activity #12 (Part 6 of 8) The Clark Bridge Often called the "Super Bridge," the Clark Bridge links Highways 367 and 67 in Missouri to Alton, Illinois. It replaced the old Clark Bridge that served the area from 1928 to Design work on the new cable-stayed bridge was started in 1985, and construction began in The bridge deck is 80 feet wide and has four traffic lanes and two bike lanes, spans 4,260 feet across the Mississippi River. It is made of 8,100 tons of structural steel, 44,100 cubic yards of concrete and more than 160 miles of cable wrapped with four acres of yellow plastic piping. Pilings that support the bridge were driven more than 140 feet below bedrock. Design criteria based on wind testing and geological studies were used to help make the bridge earthquake resistant. Total cost of the bridge was 118 million dollars, including the demolition of the old bridge. The Clark Bridge was named after William Clark who, with Meriwether Lewis in 1804, commanded the two year 4,000 mile exploration of the Louisiana Purchase territory up the Missouri River into the Pacific Northwest. The Lewis and Clark Expedition set off just a few miles south of the bridge near Hartford, Illinois. Cable-stayed bridges look similar to suspension bridges, with both having roadways that hang from cables and towers. But the two bridges support the load of the roadway differently. In suspension bridges, the cables ride freely across the towers, transmitting the load to the anchorages at either end. In cable-stayed bridges, the cables are attached to the towers that bear the load. Cables can be attached to the roadway in two ways. In a radial pattern, cables extend from several points on the road to a single point at the top of the tower. In a parallel pattern, cables are attached at different heights along the tower, running parallel to one other. The Clark Bridge cables are attached in a radial pattern. Even though cable-stayed bridges look futuristic, they are an old idea. The first known sketch of a cable-stayed bridge appears in a 16th century book called Machinae Novae, but it wasn't until the 20th century that engineers began to build them. Because steel was scarce in post-world War II Europe, the design was perfect for rebuilding bombed out bridges that still had standing foundations, and many examples of this type of bridge can be found in Western Europe. Only recently have cable-stayed bridges have begun to be erected in the United States.

7 Activity #12 (Part 7 of 8) Chester Bridge The Chester Bridge is a truss bridge connecting Missouri's Route 51 with Illinois 150 across the Mississippi River between Perryville, Missouri and Chester, Illinois.. On August 23, 1942, the City of Chester held the Grand Opening of the newest bridge to span the "Father of Waters". Tragedy struck the bridge on a stormy night in July, 1944 when a windstorm of tornadic force caused two 670-foot spans to collapse into the river. Reconstruction took two years and on August 24, 1946, the bridge was reopened to traffic. Total length: ft. Deck width: 22.0 ft. Airtight Bridge Built 1914 by the Decatur Bridge Co., this is a steel Pratt through truss with a length of feet and a width of 15.4 feet. It spans the Embarras River in Coles County, Illinois north of Charleston, Illinois. In 1980, a dismembered corpse was found on the east bank of the river thirty yards downstream from the bridge, causing quite a stir in the local media. Police investigated for years, but were unable to determine the identity of the victim until 1992, when DNA testing produced a match to a missing person from Kankakee, Illinois. The murder is now in the cold case file of the Illinois State Police

8 Activity #12 (Part 8 of 8) Bob Michel Bridge The Bob Michel Bridge is a steel girder beam bridge built to serve an industrial area across the river from downtown Peoria. Much of the industrial area has since been demolished and cleaned up. A large retail and entertainment area has been built in place of the old factories. The road though this area was once called Industrial Spur. That name has been retired in favor of Riverfront Drive, in recognition of one of the areas first major attempts to reconnect to the river. This bridge replaces the 1913 era Franklin Street Bridge. That bridge was a narrow structure with a bascule style drawbridge section. It was narrow and difficult for both highway and river traffic. US Senate candidate Mike Psak lambasted the spending on the new bridge when the dedication ceremony was delayed for two days when it was discovered that the highway signs read "Robert Michel Bridge" rather than "Bob Michel Bridge". Fixing the signs cost nearly $75,000. Bridge length: 2,365 feet and bridge width: 62 feet. Eads Bridge The Eads Bridge is a combined road and railway bridge over the Mississippi River at St. Louis, connecting St. Louis and East St. Louis, Illinois. The bridge is named for its designer and builder, Captain James B. Eads. When completed in 1874, the Eads Bridge was the longest arch bridge in the world, with an overall length of 6,442 feet (1,964 m). The ribbed steel arch spans were considered daring, as was the use of steel as a primary structural material: it was the first such use of true steel in a major bridge project. The piers upon which these spans rest are built of limestone carried down to bed rock. Fifteen workers died, two other workers were permanently disabled, and 77 were severely afflicted during the building of the Eads Bridge which cost $10,000,000. The main passage for the accommodation of pedestrians is 54 feet wide, and below this are two lines of rails.