a) Develop a continuous T-beam, as illustrated in Figure 1, to withstand shear from a uniform load of 1 kip/ft (inclusive of self-weight) and concentrated live load (PL=15k). The stirrups possess a yield strength of 40 ksi. b) Illustrate the shear diagram, determining the maximum shear value for design in accordance with ACI specifications, including its location (distance from support). c) Compute the shear capacity of the concrete and assess the need for shear reinforcement. d) Compare the maximum shear carried by stirrups against the maximum shear permissible per ACI 318 provision.
a) Develop a continuous T-beam, as illustrated in Figure 1, to withstand shear from a uniform load of 1 kip/ft (inclusive of self-weight) and concentrated live load (PL=15k). The stirrups possess a yield strength of 40 ksi.
b) Illustrate the shear diagram, determining the maximum shear value for design in accordance with ACI specifications, including its location (distance from support).
c) Compute the shear capacity of the concrete and assess the need for shear reinforcement.
d) Compare the maximum shear carried by stirrups against the maximum shear permissible per ACI 318 provision.
preferably on paper.
![#? stirrup
2.5" ↓
1
HH
0
12
PL = 15 kip
WD = 1 k/ft (including self weight)
6"|
16"
Section A-A'
24
I
36
26"
face of support
1 ft
60
10 ft
72
+|||||||||||||||| + +|||||||||||| H
48
84
108 120 132
144
96
PL
Figure 1
WD
10 ft
PL
A'
10 ft
30 ft
Stirrup: Gr. 40 steel
5000 psi normal weight concrete
156
168
24"
X (in)
180](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ec9b778-f6c6-419c-b2e4-1f3777f595a4%2F557cb780-d3e8-42d8-bd8e-2a37542c5cb2%2F477bm0k_processed.png&w=3840&q=75)
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g) in what areas would the stirrups not be needed?
Opt for the smallest permissible bar size for stirrups if #11 bars are utilized as primary reinforcement for tension.
e)- Determine the maximum spacing of stirrups, incorporating spacing requirements constrained by minimum areas.
f)- Calculate theoretical spacings required to support the maximum design shear (from part (a)) and Vu at a distance of 4 ft from the face of the support.
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