Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
For the beams shown in the following table, calculate bending moment capacity, Mu, using both analytical and approximate equations and determine the percentage of error because of using the approximate equation. a) Analytical equation: Mu Dimension and = b) Approximate equation: Mu = As-fy Ø.As. fy.d (1-0.59 455) fc.b.d 4Açd where = 0.9 limitations for this approximation: 1. cross-section: rectangular 2. steel yield: fy = 60ksi 3. units: As & d: inches, Mu: k-ft Flexural strength, Mu

For the beams shown in the following table, calculate bending moment capacity, Mu, using both analytical and approximate equations and determine the percentage of error because of using the approximate equation. a) Analytical equation: Mu Dimension and = b) Approximate equation: Mu = As-fy Ø.As. fy.d (1-0.59 455) fc.b.d 4Açd where = 0.9 limitations for this approximation: 1. cross-section: rectangular 2. steel yield: fy = 60ksi 3. units: As & d: inches, Mu: k-ft Flexural strength, Mu

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
3.1 For the beams shown in the following table, calculate bending moment capacity, Mu, using both analytical and approximate equations and determine the percentage of error because of using the approximate equation. a) Analytical equation: Mu b) Approximate equation: Mu Dimension and material properties b= 12" d= 18" As= 2.37 in² f'c = 5 ksi |fy= = 60 ksi b= 18" d= 18" A,= 3.16 in² f'c = 4 ksi |fy = = 60 ksi b= 24" d=33" As= 7.8 in² f'c = 6 ksi fy = 60 ksi b= 22" d=43" As= 12.48 in² f'c = 5 ksi |fy = 60 ksi b= 16" d=24" A,= 3.16 in² f'c = 4 ksi fy = 40 ksi = Ø.As. fy. d (1-0.59 455) where = 0.9 As.fy fc.b.d 4A d limitations for this approximation: 1. cross-section: rectangular 2. steel yield: fy = 60ksi 3. units: As & d: inches, Mu: k-ft Flexural strength, Mu Analytical Approximate equation equation Percent error Shear reinforcement stirrups Tension reinforcement As Beam Section a
Transcribed Image Text:3.1 For the beams shown in the following table, calculate bending moment capacity, Mu, using both analytical and approximate equations and determine the percentage of error because of using the approximate equation. a) Analytical equation: Mu b) Approximate equation: Mu Dimension and material properties b= 12" d= 18" As= 2.37 in² f'c = 5 ksi |fy= = 60 ksi b= 18" d= 18" A,= 3.16 in² f'c = 4 ksi |fy = = 60 ksi b= 24" d=33" As= 7.8 in² f'c = 6 ksi fy = 60 ksi b= 22" d=43" As= 12.48 in² f'c = 5 ksi |fy = 60 ksi b= 16" d=24" A,= 3.16 in² f'c = 4 ksi fy = 40 ksi = Ø.As. fy. d (1-0.59 455) where = 0.9 As.fy fc.b.d 4A d limitations for this approximation: 1. cross-section: rectangular 2. steel yield: fy = 60ksi 3. units: As & d: inches, Mu: k-ft Flexural strength, Mu Analytical Approximate equation equation Percent error Shear reinforcement stirrups Tension reinforcement As Beam Section a
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Beams
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
SEE MORE TEXTBOOKS