The simply supported beam shown below carries its own weight, a uniformly distributed live load of 300 lbs/ft, and a concentrated dead load PD at midspan. The cross-section of the beam is U- shaped. It has two rows of reinforcing bars at the bottom. The bottom row has five #6 bars and the top row has three #6 bars. Let f =4,000 psi and f, = 60 ksi. The cross-sectional area of a #6 bar is 0.44 in.².

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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b = 5 in

The simply supported beam shown below carries its own weight, a uniformly distributed live load
of 300 lbs/ft, and a concentrated dead load PD at midspan. The cross-section of the beam is U-
shaped. It has two rows of reinforcing bars at the bottom. The bottom row has five #6 bars and the
top row has three #6 bars. Let f' =4,000 psi and
is 0.44 in.².
WL = 300 lbs/ft
10 ft.
PD
★ 10 ft.
f,
ƒ, = 60 ksi. The cross-sectional area of a #6 bar
17 in.
3 in.
8 #6 bars
ооо
10+
b
6 in.
O
tºt
b
14 in.
9 in.
Consider the beam with the value of b determined in part (b). If the number of bars in the
top row is increased to five to have a total of ten #6 bars in the two rows, what is the
minimum amount of compression steel, A, required for the beam to be tension controlled?
The centroid of the compression steel is to be at 2.5 in. from the top face of the beam. Show
with calculations that the beam is indeed tension controlled. (Ans: A's = 0.88 in.²)
Transcribed Image Text:The simply supported beam shown below carries its own weight, a uniformly distributed live load of 300 lbs/ft, and a concentrated dead load PD at midspan. The cross-section of the beam is U- shaped. It has two rows of reinforcing bars at the bottom. The bottom row has five #6 bars and the top row has three #6 bars. Let f' =4,000 psi and is 0.44 in.². WL = 300 lbs/ft 10 ft. PD ★ 10 ft. f, ƒ, = 60 ksi. The cross-sectional area of a #6 bar 17 in. 3 in. 8 #6 bars ооо 10+ b 6 in. O tºt b 14 in. 9 in. Consider the beam with the value of b determined in part (b). If the number of bars in the top row is increased to five to have a total of ten #6 bars in the two rows, what is the minimum amount of compression steel, A, required for the beam to be tension controlled? The centroid of the compression steel is to be at 2.5 in. from the top face of the beam. Show with calculations that the beam is indeed tension controlled. (Ans: A's = 0.88 in.²)
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