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# QF95C1 - Note If you absolutely cannot get the shear or...

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Name ___________________________ Seat Number _____________ Rules: NO HATS! All work must be clear, legible, and in a logical order. Messy work will not be graded, period. Put a box around all final answers. Problem 1) Draw a shear and moment diagram for the beam loaded as shown below. Use L1 = 20 feet, L2 = 12 feet, w1 = 2k/ft, and w2 = 5k/ft. Problem 2) Write a singularity function for problem 1. Problem 3) Design the lightest rectangular beam (like a 2x4 is rectangular, as seen from the end) for problem 1 above. The beam should have bending stresses no greater than 6 ksi, and shear stresses at the neutral axis no greater than 4 ksi. Make the depth of the beam twice its width (like a 2x4 is.)
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Unformatted text preview: Note: If you absolutely cannot get the shear or moment for problem 1, you may use Mmax = 300 kft, and Vmax = 40 kips. This will of course cost you, but its better than nothing. Problem 4) Design the lightest steel pipe flagpole to carry a load of 60 kips on its top without buckling. The pole is 18 feet tall, and can be no bigger than 6 inches in diameter. Use a factor of safety of 2.5. Problem 5) Determine the value of the Kern limit for a circular footing of diameter D. For those bums who didn’t come to class that day, the Kern limit tells how far the vertical load P can move off the center of the footing without causing tension in the soil, which of course the soil cannot take....
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• Spring '08
• Gardoni
• Second moment of area, lightest rectangular beam, ___________________________ Seat Number, lightest steel pipe

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