220F09_buckling

# 220F09_buckling - Name Section Problem#1(20 points The...

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Name: _____________________________ Section: __________ Problem #1 (20 points): The aluminum tube AB has a hollow, rectangular cross section with a thickness of 3 mm, and is supported by pins and brackets at the ends. The constraints produce a pinned-pinned condition about the z-axis, and a fixed-fixed condition about the y-axis. The tube is initially unloaded at room temperature, but then undergoes a temperature increase ( T) that produces an internal axial load (P). Assume E = 70 GPa, σ ys = 250 MPa, and α = 23.6 x 10 -6 / ° C. (a) Calculate the largest load (P max ) that AB can support without failing. (b) Determine the temperature increase ( T) necessary to develop P max . z y 30 mm 60 mm t = 3 mm

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Name: _____________________________ Section: __________ Problem #2 (20 points): A W 5 × 16 steel beam is used as a column that is rigidly attached to the ground and supported by a continuous cable CBD. The cable is taut and prevents motion of point B in the x-z plane, but offers no restraint to motion in the y-z plane. The column has a
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220F09_buckling - Name Section Problem#1(20 points The...

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