2. A concrete roof beam for an auditorium has a straight edge top and a parabolic lower edge as detailed in the figures. (a) Describe the four sides of its arched cross section with equations in the xy - plane. A Parabola 0.50 m 10.0 m. (b) Use a definite integral to find the cross sectional area, A, of the beam in the xy - plane. (c) Determine the volume of concrete in the beam. 1.25 m 0.50 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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2. A concrete roof beam for an auditorium
has a straight edge top and a parabolic
lower edge as detailed in the figures.
(a) Describe the four sides of its arched
cross section with equations
in the xy - plane.
A
1.5
0.5
0
Parabola
0.50 m
10.0 m
(b) Use a definite integral to find the cross sectional area, A, of the beam in the xy - plane.
(c) Determine the volume of concrete in the beam.
1.25 m
0.50 m
Transcribed Image Text:2. A concrete roof beam for an auditorium has a straight edge top and a parabolic lower edge as detailed in the figures. (a) Describe the four sides of its arched cross section with equations in the xy - plane. A 1.5 0.5 0 Parabola 0.50 m 10.0 m (b) Use a definite integral to find the cross sectional area, A, of the beam in the xy - plane. (c) Determine the volume of concrete in the beam. 1.25 m 0.50 m
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