The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet. 2 -2 V1+y V1+y² The length of the beam is / = 11 feet (see figure). x = V = 134.6 W = 17760 ²²: 5, y = 0, and y = 3 2 / ft a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.) x ft³ Xlb (b) Then find the centroid of a cross section of the beam. (Round your answers to two decimal places.) (x, y) = (0.1.19 )
The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet. 2 -2 V1+y V1+y² The length of the beam is / = 11 feet (see figure). x = V = 134.6 W = 17760 ²²: 5, y = 0, and y = 3 2 / ft a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.) x ft³ Xlb (b) Then find the centroid of a cross section of the beam. (Round your answers to two decimal places.) (x, y) = (0.1.19 )
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The cross section of a precast concrete beam for a building is bounded by the graphs of the equations shown below, where x and y are measured in feet.
2
-2
V1+y
V1+y²
The length of the beam is / = 11 feet (see figure).
x =
V = 134.6
W = 17760
²²:
5, y = 0, and y = 3
2
/ ft
a) Find the volume V and the weight W of the beam. Assume the concrete weighs 148 pounds per cubic foot. (Round your answers to one decimal place.)
x ft³
Xlb
(b) Then find the centroid of a cross section of the beam. (Round your answers to two decimal places.)
(x, y) = (0.1.19
)
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