Answer: Building Design The cross section of a precast concrete beam for a building is
Chapter 8, Problem 72(choose chapter or problem)
The cross section of a precast concrete beam for a building is bounded by the graphs of the equations \(x=\frac{2}{\sqrt{1+y^{2}}}, \quad x=\frac{-2}{\sqrt{1+y^{2}}}, \quad y=0,\) and y = 3 where \(x\) and \(y\) are measured in feet. The length of the beam is 20 feet (see figure).
(a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot.
(b) Find the centroid of a cross-section of the beam.
Text Transcription:
x = 2 / sqrt{1 + y^2}, x = -2 / sqrt{1 + y^2}, y = 0
x
y
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