MATH OLYMPIAD (1998)
Grade 7-8: The Bridge Construction Problem
The Nufrofhtam County Planning Commission has asked for your engineering firm to help them decide how best to replace the Gauss River Bridge that was washed out during the spring floods. The supporting structure is already designed and contracted out. There are two options for the bridge deck: concrete and steel. Now the commission needs bids for these two options:
Here are specifications for a concrete replacement bridge deck:
Here are the specifications for a steel replacement bridge deck:
The bids from the construction suppliers are as follows:
Steel beams as specified: $24.35 per linear foot
Concrete as specified: $99.00 per cubic yard
The labor costs involved in this project are to be paid by an alternate funding source and do not need to be included in your bid.
INSTRUCTION:
Your task is to determine the cost of building the bridge using both concrete and steel beams. Prepare a proposal on the response sheet supplied. Your proposal should include:
Your recommendation about which option is better with a list of reasons justifying your opinion. Include any special considerations or observations you wish the evaluator to consider. Write your recommendation on the Letterhead supplied on the response sheet. (note to Diane--one side of a sheet--so that the total response will fit front and back on the sheet. Additional sheets may be supplied, and proctor has instructions to remind teams to put name and number on the sheet.)
Grade 7-8: The Bridge Construction Proposal
Steel Beam Bridge Diagram:
Steel Beam Bridge Cost Calculation:
Concrete Bridge Cost Calculation:
Figure Right Construction
Write letter here