1. Consider the shear diagram below for the simply supported rectangular beam. Compute the following, assuming that #3 stirrups (L) will be used for shear reinforcement. A #3 bar has a cross-sectional area of 0.11 in². Assume normal weight concrete, fy = 60000 psi, and fo = 4000 psi. You may also assume that the beam's self-weight is included in the dead load provided. Per ACI 9.6.3, shear reinforcement is required when V₂ > Vc. a. At what distance from the left support can shear reinforcement end? b. At what distance from the left support can theoretical spacing be taken as 16"? You do not need to check whether 16" is within maximum allowable values. (Recall: Vu= Vn = OVc + Vs, 0 = 0.75) WD = 1 k/ft W₁ = 2 k/ft 28 ft Criteria 22.5.5 V for nonprestressed members 22.5.5.1 For nonprestressed members, V, shall be calcu- lated in accordance with Table 22.5.5.1 and 22.5.5.1.1 through 22.5.5.1.3. Table 22.5.5.1-Vc for nonprestressed members Ve Ay 2 Amin Ay
1. Consider the shear diagram below for the simply supported rectangular beam. Compute the following, assuming that #3 stirrups (L) will be used for shear reinforcement. A #3 bar has a cross-sectional area of 0.11 in². Assume normal weight concrete, fy = 60000 psi, and fo = 4000 psi. You may also assume that the beam's self-weight is included in the dead load provided. Per ACI 9.6.3, shear reinforcement is required when V₂ > Vc. a. At what distance from the left support can shear reinforcement end? b. At what distance from the left support can theoretical spacing be taken as 16"? You do not need to check whether 16" is within maximum allowable values. (Recall: Vu= Vn = OVc + Vs, 0 = 0.75) WD = 1 k/ft W₁ = 2 k/ft 28 ft Criteria 22.5.5 V for nonprestressed members 22.5.5.1 For nonprestressed members, V, shall be calcu- lated in accordance with Table 22.5.5.1 and 22.5.5.1.1 through 22.5.5.1.3. Table 22.5.5.1-Vc for nonprestressed members Ve Ay 2 Amin Ay
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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This is civil engineering concrete design practice. Everything needed is provided. Please answer all parts to the best of your ability. Provide thorough answer and explanation. This is only one question with a max of 2 parts due to guidelines.

Transcribed Image Text:1. Consider the shear diagram below for the simply supported rectangular beam. Compute the following, assuming
that #3 stirrups (L) will be used for shear reinforcement. A #3 bar has a cross-sectional area of 0.11 in². Assume
normal weight concrete, fy = 60000 psi, and f = 4000 psi. You may also assume that the beam's self-weight
is included in the dead load provided. Per ACI 9.6.3, shear reinforcement is required when V₂ > Vc.
a. At what distance from the left support can shear reinforcement end?
b.
At what distance from the left support can theoretical spacing be taken as 16"? You do not need to check
whether 16" is within maximum allowable values. (Recall: Vu= Vn = OVc + Vs, p=0.75)
WD = 1 k/ft
W₁ = 2 k/ft
28 ft
Ay 2 Amin
22.5.5 V for nonprestressed members
22.5.5.1 For nonprestressed members, V, shall be calcu-
lated in accordance with Table 22.5.5.1 and 22.5.5.1.1
through 22.5.5.1.3.
Table 22.5.5.1-Vc for nonprestressed members
Criteria
Ve
Ay <Amin
4 # 11
Either of:
16 in.
[SA, M.P.) √T: + M. Jo, d
[SMP. Jº √JT:+Mt. b.d
6.4,
Notes:
1. Axial load, N, is positive for compression and negative for tension.
2. V, shall not be taken less than zero.
(a)
(b)
24 in.
(c)
3 in.
27 in.
22.5.8.5.5 For each rectangular tie, stirrup, hoop, or
crosstie, A, shall be the effective area of all bar legs or wires
within spacing s.
61.6K
281
ما .اما -
22.5.8.5.3 V, for shear reinforcement in 22.5.8.5.1 shall
be calculated by:
Afd
S
(22.5.8.5.3)
where s is the spiral pitch or the longitudinal spacing of
the shear reinforcement, and A, is given in 22.5.8.5.5 or
22.5.8.5.6.
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