A singly reinforced beam of dimension 200 x 350 is reinforced with 3-25mm at the bottom. If the concrete has a compressive strength of 17MPa and the steel has a yield strength of 415 MPa, determine if the beam can carry a uniform distributed load of 18 kN/m dead load. The beam has a length of 5m with 40mm concrete clear cover, 10mm enclosed stirrups, and Es = 200 GPa. Use LRFD in the analysis.

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
100%

A singly reinforced beam of dimension 200 x 350 is reinforced with 3-25mm at the bottom. If the concrete has a compressive strength of 17MPa and the steel has a yield strength of 415 MPa, determine if the beam can carry a uniform distributed load of 18 kN/m dead load. The beam has a length of 5m with 40mm concrete clear cover, 10mm enclosed stirrups, and Es = 200 GPa. Use LRFD in the analysis.

1. What is the effective depth of the given beam. (1 decimal)
2. What value of ß1 should you use in the computation. (2 decimals)
3. What is the value of the steel reinforcement ratio if a balanced condition is assumed.
(4 decimals)
4. What is the actual steel reinforcement ratio of the given beam. (4 decimals)
5. What type of failure will occur?
6. What is the value of the compression block? You will get two values, use the
positive. (4 decimals)
7. Given your answer in Numbers 5 and 6, what value of fs you should use? (4
decimals)
8. What is the nominal strength of the given section? (4 decimals)
9. What is the maximum moment applied to the beam? (2 decimals)
10. Considering LRFD, what is the factored load to be carried by the beam? (2
decimals)
11. Considering LRFD, what is the reduced capacity of the section? (4 decimals)
12. Can the section sustain the given loads?
Transcribed Image Text:1. What is the effective depth of the given beam. (1 decimal) 2. What value of ß1 should you use in the computation. (2 decimals) 3. What is the value of the steel reinforcement ratio if a balanced condition is assumed. (4 decimals) 4. What is the actual steel reinforcement ratio of the given beam. (4 decimals) 5. What type of failure will occur? 6. What is the value of the compression block? You will get two values, use the positive. (4 decimals) 7. Given your answer in Numbers 5 and 6, what value of fs you should use? (4 decimals) 8. What is the nominal strength of the given section? (4 decimals) 9. What is the maximum moment applied to the beam? (2 decimals) 10. Considering LRFD, what is the factored load to be carried by the beam? (2 decimals) 11. Considering LRFD, what is the reduced capacity of the section? (4 decimals) 12. Can the section sustain the given loads?
A singly reinforced beam of dimension 200 × 350 is
reinforced with 3-25mm at the bottom. If the
concrete has a compressive strength of 17MPA and
the steel has a yield strength of 415 MPa, determine
if the beam can carry a uniform distributed load of
18 kN/m dead load. The beam has a length of 5m
with 40mm concrete clear cover, 10mm enclosed
stirrups, and Es = 200 GPa. Use LRFD in the analysis.
WDL = 18 kN/m
L = 5 m
Transcribed Image Text:A singly reinforced beam of dimension 200 × 350 is reinforced with 3-25mm at the bottom. If the concrete has a compressive strength of 17MPA and the steel has a yield strength of 415 MPa, determine if the beam can carry a uniform distributed load of 18 kN/m dead load. The beam has a length of 5m with 40mm concrete clear cover, 10mm enclosed stirrups, and Es = 200 GPa. Use LRFD in the analysis. WDL = 18 kN/m L = 5 m
Expert Solution
steps

Step by step

Solved in 3 steps

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.
Similar questions
  • SEE MORE QUESTIONS
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