2. For the following section assume concrete with compressive strength of 5,000 psi and rein: steel bars with yield strength of 60 ksi. Address the following assuming three cases for reinforcement area given below: a. Calculate the balanced reinforcement ratio p, and tension-controlled reinforcement ratio for the cross section. Then specify failure mode (ductile/brittle) for each case. b. c. Case 1: A.-6.00 in² Case 1: A.-5.00 in² Case 2: A, 4.00 in² Case 3: A, 3.00 in² For each case, calculate the Nominal Strength, M. Also find the strain in the steel bars. Calculate the reduction factor, and design moment strength, QM, for each case. d. Using your findings in the previous parts, complete the table below. Comment on the effici of using more reinforcement in obtaining higher design moment strength based on the last t columns of the table. h=20" b=12" d=17"

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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2. For the following section assume concrete with compressive strength of 5,000 psi and reinforcing
steel bars with yield strength of 60 ksi. Address the following assuming three cases for
reinforcement area given below:
a.
Calculate the balanced reinforcement ratio p, and tension-controlled reinforcement ratio pre
for the cross section. Then specify failure mode (ductile/brittle) for each case.
b.
For each case, calculate the Nominal Strength, M. Also find the strain in the steel bars.
c. Calculate the reduction factor, and design moment strength, M, for each case.
d. Using your findings in the previous parts, complete the table below. Comment on the efficiency
of using more reinforcement in obtaining higher design moment strength based on the last two
columns of the table.
h=20"
Case 1: A.-6.00 in²
Case 1: A.-5.00 in²
Case 2: A, 4.00 in²
Case 3: A, 3.00 in²
Case
2
3
4
نيا
As (in)
6.00
5.00
4.00
3.00
b=12"
11
Strain in the steelbars
Reduction factor
d=17"
Mn (Kip-in)
ÞMn (Kip-in)
Ratio betweenAsin
case 1 and other cases
Ratio between Mn in
case 1 and other cases
Transcribed Image Text:2. For the following section assume concrete with compressive strength of 5,000 psi and reinforcing steel bars with yield strength of 60 ksi. Address the following assuming three cases for reinforcement area given below: a. Calculate the balanced reinforcement ratio p, and tension-controlled reinforcement ratio pre for the cross section. Then specify failure mode (ductile/brittle) for each case. b. For each case, calculate the Nominal Strength, M. Also find the strain in the steel bars. c. Calculate the reduction factor, and design moment strength, M, for each case. d. Using your findings in the previous parts, complete the table below. Comment on the efficiency of using more reinforcement in obtaining higher design moment strength based on the last two columns of the table. h=20" Case 1: A.-6.00 in² Case 1: A.-5.00 in² Case 2: A, 4.00 in² Case 3: A, 3.00 in² Case 2 3 4 نيا As (in) 6.00 5.00 4.00 3.00 b=12" 11 Strain in the steelbars Reduction factor d=17" Mn (Kip-in) ÞMn (Kip-in) Ratio betweenAsin case 1 and other cases Ratio between Mn in case 1 and other cases
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