You must build a bridge across a 20 foot wide gully. The brides is 4 foot wide a

Question

You must build a bridge across a 20 foot wide gully. The brides is 4 foot wide and will be constructed of 4 times 8 foot plywood sheets placed on top of two composite beams take are about 4 feet apart. Design the bridge so that the two composite beams take all the load, which is equivalent to 500 lbs/ft distributed over the length of each composite beam. The plywood lays on the composite beams, but is not attached (cheap bridge). Your task is to design and build the beams. You have just arrived on one side of the gully with a truck that has the following materials on board: Plywood, 4 times 8 ft times 1/2" thick, 3 pieces, properties unknown Pine wood planks, 1 times 10" actual cross section, 25 ft length, 16 pieces Pine wood planks, 2 times 4" actual cross section, 25 ft length, 16 pieces Pine has a modulus of 2 Msi and a design tens/compression strength of 4000 psi and a design shear strength of 500 psi (do not use safety factors) Nails, steel, 0.125 inch diameter, 4" long 2000 nails. Steel has an elastic modulus. of 30 Msi and shear strength of 20000 psi Liquid adhesive/glue, allowable shear stress 50 psi Cross cut wood saw Hammer Brush (for spreading the liquid adhesive) Paper tablet, calculator and sharp pencil (for doing the design) Design the wood beams and provide a sketch showing me how to build it (i.e. show me the composite beam cross section, and where the nails/adhesive are placed. Prove to me it will work.)

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