1) Consider the elevation view of an interior beam shown below. The beam has a t-shaped cross- section (the 5 in. thick slab is cast monolithically with the beam - meaning that the 22 in. deep beam has 17 in. hanging below the slab). The c-c length is 30 ft. Assume: M bw = 14 in. fé = 6 ksi Mu,neg. = 340 k-ft en = 28.5 ft Wu h = 22 in. fy = 60 ksi Mu,pos = 230 k-ft Sw = 12 ft - Length hstab = 5 in. No. 4 stirrups Column FL a. Select flexural reinforcement for the beam at midspan assuming it is singly reinforced. T- beams under positive bending are usually singly reinforced because the depth of the neutral axis in the flange is often smaller than the depth of any bars that might be present. Iterate until the design strength, Mn, exceeds M₁ by less than approximately 20%. Provide a drawing of the section design that clearly shows the location of the longitudinal reinforcement. Show the section complies with relevant ACI Building Code requirements (As,min, bar spacing limits, &t,min). Select
1) Consider the elevation view of an interior beam shown below. The beam has a t-shaped cross- section (the 5 in. thick slab is cast monolithically with the beam - meaning that the 22 in. deep beam has 17 in. hanging below the slab). The c-c length is 30 ft. Assume: M bw = 14 in. fé = 6 ksi Mu,neg. = 340 k-ft en = 28.5 ft Wu h = 22 in. fy = 60 ksi Mu,pos = 230 k-ft Sw = 12 ft - Length hstab = 5 in. No. 4 stirrups Column FL a. Select flexural reinforcement for the beam at midspan assuming it is singly reinforced. T- beams under positive bending are usually singly reinforced because the depth of the neutral axis in the flange is often smaller than the depth of any bars that might be present. Iterate until the design strength, Mn, exceeds M₁ by less than approximately 20%. Provide a drawing of the section design that clearly shows the location of the longitudinal reinforcement. Show the section complies with relevant ACI Building Code requirements (As,min, bar spacing limits, &t,min). Select
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:1) Consider the elevation view of an interior beam shown below. The beam has a t-shaped cross-
section (the 5 in. thick slab is cast monolithically with the beam - meaning that the 22 in. deep
beam has 17 in. hanging below the slab). The c-c length is 30 ft.
Assume:
M
bw = 14 in.
fc = 6 ksi
Mu,neg. = 340 k.ft
en = 28.5 ft
Wu
h = 22 in.
fy = 60 ksi
Mu,pos = 230 k.ft
Sw = 12 ft
- Length
hstab = 5 in.
No. 4 stirrups
Column
FL
a. Select flexural reinforcement for the beam at midspan assuming it is singly reinforced. T-
beams under positive bending are usually singly reinforced because the depth of the neutral
axis in the flange is often smaller than the depth of any bars that might be present. Iterate
until the design strength, Mn, exceeds M₁ by less than approximately 20%. Provide a
drawing of the section design that clearly shows the location of the longitudinal
reinforcement. Show the section complies with relevant ACI Building Code requirements
(As,min, bar spacing limits, Et, min).
b. Select flexural reinforcement for the beam at the left support assuming it is doubly-
reinforced. T-beams under negative bending are often doubly reinforced because the depth
of the neutral axis in the web is often larger than the depth of any bars that are present.
Iterate until the design strength, M₁, exceeds My by less than approximately 20%.
Provide a drawing of the section design that clearly shows the location of the longitudinal
reinforcement. Show the section complies with relevant Code requirements (As,min, bar
spacing limits, Et,min).
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Step 1: Introduce the problem statement
VIEWStep 2: Evaluate basic flexure parameters and required moment capacity
VIEWStep 3: Determining trial steel area
VIEWStep 4: Compute value of a and z
VIEWStep 5: Determine nominal moment capacity
VIEWStep 6: Perform second iteration
VIEWStep 7: Perform third iteration
VIEWStep 8: Check for minimum reinforcement
VIEWStep 9: Draw the cross-section of the given beam
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