I am trying to figure out which equations were used to solve this problem.
I am trying to figure out which equations were used to solve this problem.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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I am trying to figure out which equations were used to solve this problem.
![Find Beam Size & Reinforcing Steel (1)
A rectangular beam is to be sized with f, = 60,000 psi, f = 3000 psi, and a reinforcement ratio papprox-
imately equal to 0.18f,/f,. It is to have a 25-ft simple span and to support a dead load, in addition to
its own weight, equal to 2 k/ft and a live load equal to 3 k/ft.
SOLUTION
Assume Beam wt= 400 lb/ft
W, = (1.2) (2 klf+0.400 klf) + (1.6) (3 klf) = 7.68 klf (k/ft)
(7.68 klf)(25 ft)?
Mu
600 ft-k
%3D
8
(0.18) (3 ksi)
= 0.009
60 ksi
M,
= 482.6 psi (from Appendix A, Table A.12)
øbd?
M,
$(482.6 psi)
(12 in/ft) (600,000 ft-lb)
(0.9) (482.6 psi)
bd? :](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42dcadbb-0455-468e-8d9c-b61ad71cccbd%2Ff772b860-981f-4b04-829b-9638eb2af41c%2Fna13u5_processed.png&w=3840&q=75)
Transcribed Image Text:Find Beam Size & Reinforcing Steel (1)
A rectangular beam is to be sized with f, = 60,000 psi, f = 3000 psi, and a reinforcement ratio papprox-
imately equal to 0.18f,/f,. It is to have a 25-ft simple span and to support a dead load, in addition to
its own weight, equal to 2 k/ft and a live load equal to 3 k/ft.
SOLUTION
Assume Beam wt= 400 lb/ft
W, = (1.2) (2 klf+0.400 klf) + (1.6) (3 klf) = 7.68 klf (k/ft)
(7.68 klf)(25 ft)?
Mu
600 ft-k
%3D
8
(0.18) (3 ksi)
= 0.009
60 ksi
M,
= 482.6 psi (from Appendix A, Table A.12)
øbd?
M,
$(482.6 psi)
(12 in/ft) (600,000 ft-lb)
(0.9) (482.6 psi)
bd? :
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