3. The following data is related to a short brass cylinder of diameter D = 10 cm and height H = 20 cm is initially at a uniform temperature of Ti = 200°C. The cylinder is now placed in atmospheric air at 25°C, where heat transfer takes place by convection with a heat transfer coefficient of h = 60 W/m2 · °C. Calculate (a) the center temperature of the cylinder, (b) the center temperature of the top surface of the cylinder, and (c) the total heat transfer from the cylinder 15 min after the start of the cooling.

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The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is σy = 449 MPa, whereas that used for the rectangular cross- section is 0.7%y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 96 mm, b=43 mm, a=12 mm, H=96 mm, d= 43 mm N b h a Z a | d H

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