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Homework 7 Questions and Answers - Reinforced Concrete Design | CIVL 4135, Study notes of Reinforced Concrete Design

Material Type: Notes; Class: Reinforced Concrete Design; Subject: CIVL Civil Engineering; University: University of Memphis; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 07/29/2009

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CIVL 4135
HOMEWORK SET 7 154
CIVL 4135 Flexure
A. Determine whether the reinforcement area meets the ACI requirement for maximum area allowed and then cal-
culate the ultimate moment for the section shown below.
16โ€
6โ€
16โ€
4โ€
As=4.0
in2
fโ€™c=4ksi
fy=60ksi
Answer:
Mu= 2950 in--kips
B. a 6โ€by 12โ€hole is located in the center of a reinforced concrete cross section to reduce the weight of the beam.
Determine the nominal flexural capacity of the member if the beam is subjected to positive moment.
21โ€
24โ€
12โ€
fcโ€ฒ=3.5 ksi
fy=60 ksi
3--#10 bars
12โ€
6โ€
6โ€
6โ€
3โ€3โ€
Hole
Answer: 4049 in- kips
C. (a) Determine balanced steel As for thr symmetrical cross section shown below to be on the borderline of Ten-
sion and Transition.
(b) What is the maximum area of the steel permitted in the cross section by the ACI code?
(c) Determine the nominal flexural capacity of the member if the beam is subjected to positive moment.
fโ€™c=4.0ksi
fy=60ksi
Answer:
Asb =in
2
As,max =
Mn=?
15โ€
5โ€
5โ€
20โ€ 27.25โ€
5โ€
3-#8
pf2

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CIVL 4135

HOMEWORK SET 7^154

CIVL 4135 Flexure

A. Determine whether the reinforcement area meets the ACI requirement for maximum area allowed and then cal- culate the ultimate moment for the section shown below.

16 โ€

As=4. in^2

fโ€™c = 4 ksi f (^) y = 60 ksi

Answer: Mu = 2950 in--kips

B. a 6โ€ by 12โ€ hole is located in the center of a reinforced concrete cross section to reduce the weight of the beam. Determine the nominal flexural capacity of the member if the beam is subjected to positive moment.

24 โ€^21 โ€

f (^) c โ€ฒ = 3.5 ksi

f (^) y = 60 ksi

3--#10 bars

Hole

Answer: 4049 in- kips

C. (a) Determine balanced steel As for thr symmetrical cross section shown below to be on the borderline of Ten- sion and Transition. (b) What is the maximum area of the steel permitted in the cross section by the ACI code? (c) Determine the nominal flexural capacity of the member if the beam is subjected to positive moment.

fโ€™c = 4.0 ksi f (^) y = 60 ksi

Answer: Asb = in 2 As,max = Mn =?

20โ€ 27.25^ โ€

CIVL 4135

HOMEWORK SET 7^155

CIVL 4135 Flexure

D. For the beam cross-section of the accompanying figure, assuming 3000 psi concrete and 60,000 psi steel, and the clear cover from the bottom (tension face) to the centroid of bars = 2 in., compute the following: (a) Compare the given tension reinforcement with the maximum permitted by the ACI code. Use basic principles starting with balanced strain condition. (b) Using basic principles with the Whitney rectangular stress distribution compute the nominal moment strength Mn for the cross section.

4 โ€ (^4) โ€

15โ€

18โ€

4 โ€

#6 (^) #