Note: For all problems provide neat drawings of strains and stresses and show clearly all calculations. 1. The beam shown below is subjected to a uniform live load, L= 1k/ft. In addition, the beam must resist a superimposed dead load, mps=0.8k/ft as well as its self-weight. The concrete strength is 6,000 psi and the steel is Grade 60. The beam is not in contact with the ground or exposed to weather (hint: cover). Calculate the nominal and design shear strengths of the beam section. Is the beam shear design adequate? If so, redesign the beam to make the design more economical. If not, redesign the beam for shear to ensure the design is adequate per ACI 318-19 standards. 30' wp 28" 3 #10 F144 #4 Stirrups @ 14" CTC

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The beam shown below is subjected to a uniform live load, ωL = 1k/ft. In addition, the beam must resist a superimposed dead load, ωD.S = 0.8k/ft as well as its self-weight. The concrete strength is 6,000 psi and the steel is Grade 60. The beam is not in contact with the ground or exposed to weather (hint: cover). Calculate the nominal and design shear strengths of the beam section. Is the beam shear design adequate? If so, redesign the beam to make the design more economical. If not, redesign the beam for shear to ensure the design is adequate per ACI 318-19 standards.

. The beam shown below is subjected to a uniform live load, ωL = 1k/ft. In addition, the beam must 
resist a superimposed dead load, ωD.S = 0.8k/ft as well as its self-weight. The concrete strength is 6,000 
psi and the steel is Grade 60. The beam is not in contact with the ground or exposed to weather (hint: 
cover). Calculate the nominal and design shear strengths of the beam section. Is the beam shear design
adequate? 
If so, redesign the beam to make the design more economical. If not, redesign the beam for shear to 
ensure the design is adequate per ACI 318-19 standards. 

Analysis and Design for Shear
Note: For all problems provide neat drawings of strains and stresses and show clearly all calculations.
1. The beam shown below is subjected to a uniform live load, ₁ = 1k/ft. In addition, the beam must
resist a superimposed dead load, op.s=0.8k/ft as well as its self-weight. The concrete strength is 6,000
psi and the steel is Grade 60. The beam is not in contact with the ground or exposed to weather (hint:
cover). Calculate the nominal and design shear strengths of the beam section. Is the beam shear design
adequate?
If so, redesign the beam to make the design more economical. If not, redesign the beam for shear to
ensure the design is adequate per ACI 318-19 standards.
30'
@p
WL
28"
-42"
3 #10
Fed
#4 Stirrups
@ 14" CTC
14
2.
A cantilever beam carries a factored, uniformly distributed load of 2 kip/ft, including its own self-
weight. It also has a 40 kip factored, concentrated load applied at mid-span. The span length is 12 ft.
Tension reinforcement is designed as four No. 10 bars under negative bending and two No. 8 bars
under positive bending. Use 4,000 ksi compressive strength concrete and 60 ksi yield strength steel.
The rectangular beam is 16 in wide and 24 in deep. Use 2 in. cover to steel reinforcement.
a) Design shear reinforcement at the critical section.
b) Determine the shear reinforcement needed at a section 3 ft away from the critical section towards
midspan.
c) Determine the length of the beam across which no reinforcement is needed.
d) Draw the reinforcement calculated through a-d on elevation and cross section views of the beam.
e) Draw the shear diagram of the beam corresponding to the elevation view showing reinforcement.
Transcribed Image Text:Analysis and Design for Shear Note: For all problems provide neat drawings of strains and stresses and show clearly all calculations. 1. The beam shown below is subjected to a uniform live load, ₁ = 1k/ft. In addition, the beam must resist a superimposed dead load, op.s=0.8k/ft as well as its self-weight. The concrete strength is 6,000 psi and the steel is Grade 60. The beam is not in contact with the ground or exposed to weather (hint: cover). Calculate the nominal and design shear strengths of the beam section. Is the beam shear design adequate? If so, redesign the beam to make the design more economical. If not, redesign the beam for shear to ensure the design is adequate per ACI 318-19 standards. 30' @p WL 28" -42" 3 #10 Fed #4 Stirrups @ 14" CTC 14 2. A cantilever beam carries a factored, uniformly distributed load of 2 kip/ft, including its own self- weight. It also has a 40 kip factored, concentrated load applied at mid-span. The span length is 12 ft. Tension reinforcement is designed as four No. 10 bars under negative bending and two No. 8 bars under positive bending. Use 4,000 ksi compressive strength concrete and 60 ksi yield strength steel. The rectangular beam is 16 in wide and 24 in deep. Use 2 in. cover to steel reinforcement. a) Design shear reinforcement at the critical section. b) Determine the shear reinforcement needed at a section 3 ft away from the critical section towards midspan. c) Determine the length of the beam across which no reinforcement is needed. d) Draw the reinforcement calculated through a-d on elevation and cross section views of the beam. e) Draw the shear diagram of the beam corresponding to the elevation view showing reinforcement.
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