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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question

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.

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.
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.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Design criteria for structural loading
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning