Concrete expands both horizontally and vertically over time. An article reports measurements of horizontal and vertical expansion (in units of parts per hundred thousand) made at several locations on a bridge in Quebec City in Canada. The results are presented in the following table. Horizontal 43 5 18 24 32 10 21 Vertical 55 80 58 64 57 69 63 Compute the least-squares line for predicting vertical expansion (y) from horizontal expansion (x). (Round the final answers to three decimal places.) The least-squares line $y = \boxed{ } + \boxed{ }x$.
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You are watching a new bridge being built near your house. You notice during the construction that two concrete spans of the bridge of total length $L_{i}=250 \mathrm{~m}$ are placed end to end so that no room is allowed for expansion (Fig. P18.11a). In the opening storyline for this chapter, we talked about buckling sidewalks. The same thing will happen with spans on bridges if allowance is not made for expansion (Fig. $\mathrm{P} 18.11 \mathrm{~b}$ ). You want to warn the construction crew about this dangerous situation, so you calculate the height $y$ to which the spans will rise when they buckle in response to a temperature increase of $\Delta T=20.0^{\circ} \mathrm{C}$.
Problem 7: When builders were constructing a sidewalk, they forgot to include an expansion joint between two of the segments, L = 1.1 m at T0 = 20°C. Assume the opposite ends of each segment are fixed and the linear expansion coefficient is α = 12.6 x 10^-6 °C^-1. Part (a) As the day heats to Tb, the segments press against each other and begin to raise the junction a distance h forming a triangle. What is the height (in meters) at Tb = 110°F? Part (b) What should the gap have been to prevent them from touching in meters?
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A bridge is made with segments of concrete 50 m long. If the linear expansion coefficient is 12 x 10^-6 (oC)^-1, how much spacing (in cm) is needed to allow for expansion during an extreme temperature change of 150 ^oF?
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