Design a rectangular section for the beam, loads, and ρ values shown in the  following figures. Assume concrete weighs 150lb/ft3  , fy = 60,000 psi, and f’c = 4000 psi. You will  need to estimate and include self-weight in your calculation of Mu. a) Satisfy φMn≥Mu.  i. You MUST show moment diagrams for all load combinations, regardless of  whether or not they control. ii. You MUST satisfy this equation. There are many answers. Select bar sizes that  are reasonable. (Hint: Your beam will have more than one piece of rebar.)  b) Show sketches of the cross sections, including bar sizes, arrangement, and spacing.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Design a rectangular section for the beam, loads, and ρ values shown in the 
following figures. Assume concrete weighs 150lb/ft3
 , fy = 60,000 psi, and f’c = 4000 psi. You will 
need to estimate and include self-weight in your calculation of Mu.
a) Satisfy φMn≥Mu. 
i. You MUST show moment diagrams for all load combinations, regardless of 
whether or not they control.
ii. You MUST satisfy this equation. There are many answers. Select bar sizes that 
are reasonable. (Hint: Your beam will have more than one piece of rebar.) 
b) Show sketches of the cross sections, including bar sizes, arrangement, and spacing.

10ft
11 ft
PL=30k
PLL =24k
12 ft
*
(1)
(2)
WDL =3K/ft, WLL =1K/ft
W₁ =1.5k/ft and wp=1.5k/ft
10ft
11ft
PLL =24k
★
WDL=2k/ft
Use p =
Use p = ½ Pb
Pb = steel in balanced section
10ft
0.18fic
fy
Use p
=
0.18fic
fy
Transcribed Image Text:10ft 11 ft PL=30k PLL =24k 12 ft * (1) (2) WDL =3K/ft, WLL =1K/ft W₁ =1.5k/ft and wp=1.5k/ft 10ft 11ft PLL =24k ★ WDL=2k/ft Use p = Use p = ½ Pb Pb = steel in balanced section 10ft 0.18fic fy Use p = 0.18fic fy
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