(a) An exterior wall of a house is 3 m tall and 10 m wide. It consists of a layer of drywall with an R factor of 0.56, a layer 3.5 inches thick filled with fiberglass batts, and a layer of insulated siding with an R factor of 2.6. The wall is built so well that there are no leaks of air through it. When the inside of the wall is at 22 ℃ and the outside is at 2 ℃, what is the rate of heat flow through the wall? (b) More realistically, the 3.5-inch space also contains 2-by-4 studs—wooden boards 1.5 inches by 3.5 inches oriented so that 3.5-inch dimension extends from the drywall to the siding. They are "on 16-inch centers," that is, the centers of the studs ale 16 inches apart. What is the heat current in this situation? Don't worry about one stud mole or less.
(a) An exterior wall of a house is 3 m tall and 10 m wide. It consists of a layer of drywall with an R factor of 0.56, a layer 3.5 inches thick filled with fiberglass batts, and a layer of insulated siding with an R factor of 2.6. The wall is built so well that there are no leaks of air through it. When the inside of the wall is at 22 ℃ and the outside is at 2 ℃, what is the rate of heat flow through the wall? (b) More realistically, the 3.5-inch space also contains 2-by-4 studs—wooden boards 1.5 inches by 3.5 inches oriented so that 3.5-inch dimension extends from the drywall to the siding. They are "on 16-inch centers," that is, the centers of the studs ale 16 inches apart. What is the heat current in this situation? Don't worry about one stud mole or less.
(a) An exterior wall of a house is 3 m tall and 10 m wide. It consists of a layer of drywall with an R factor of 0.56, a layer 3.5 inches thick filled with fiberglass batts, and a layer of insulated siding with an R factor of 2.6. The wall is built so well that there are no leaks of air through it. When the inside of the wall is at 22 ℃ and the outside is at 2 ℃, what is the rate of heat flow through the wall? (b) More realistically, the 3.5-inch space also contains 2-by-4 studs—wooden boards 1.5 inches by 3.5 inches oriented so that 3.5-inch dimension extends from the drywall to the siding. They are "on 16-inch centers," that is, the centers of the studs ale 16 inches apart. What is the heat current in this situation? Don't worry about one stud mole or less.
One easy way to reduce heating (and cooling) costs is to add extra insulation in the attic of a house. Suppose a single-story cubical house already had 15 cm of fiberglass insulation in the attic and in all the exterior surfaces. If you added an extra 8.0 cm of fiberglass to the attic, by what percentage would the heating cost of the house drop? Take the house to have dimensions 10 m by 15 m by 3.0m. Ignore air infiltration and heat loss through windowsand doors, and assume that the interior is uniformly at one temperature and the exterior is uniformly at another.
A steel beam being used in the construction of a skyscraper has a length of 37.000 m when delivered on a cold day at a temperature of 16.000°F. What is the length of the beam when it is being installed later on a warm day when the temperature is 94.000°F? (Give your answer to at least five significant figures.) m
A thin glaze is applied on the surface of a thick ceramic block by heating it above 650◦C, which allows it to flow over the surface. On cooling, the glaze becomes sufficiently stiff at 500◦C to act as a solid (Fig. 3). Calculate the stresses in the glaze layer by assuming it to be in a state of plane stress in the X1 − X2 plane when it has cooled to 20◦C. The thermal expansion coefficients of the glaze (g) and ceramic (c) are respectively, αg = 4.0 × 10−6/◦C and αc = 5.5×10−6/◦C. Take E = 300GPa and ν = 0.15 for the glaze and the block. Assume the stresses in the block to be negligible.
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