A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 27 MPa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars. Determine the maximum steel ratio if the beam is singly reinforced in positive bending with the given material strengths and the tensile strain is limited to 0.004 upon crushing of concrete. Write the answer in 5 decimal places only.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter12: Composite Materials
Section: Chapter Questions
Problem 12.7P: Estimate the transverse tensile strength of the concrete in Problem 12.6.
icon
Concept explainers
Question

A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars.  Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm.  Use concrete strength f’c = 27 MPa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars.    Determine the maximum steel ratio if the beam is singly reinforced in positive bending with the given material strengths and the tensile strain is limited to 0.004 upon crushing of concrete.  Write the answer in 5 decimal places only. 

Expert Solution
steps

Step by step

Solved in 2 steps with 1 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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Materials Science And Engineering Properties
Materials Science And Engineering Properties
Civil Engineering
ISBN:
9781111988609
Author:
Charles Gilmore
Publisher:
Cengage Learning
Steel Design (Activate Learning with these NEW ti…
Steel Design (Activate Learning with these NEW ti…
Civil Engineering
ISBN:
9781337094740
Author:
Segui, William T.
Publisher:
Cengage Learning
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
Construction Materials, Methods and Techniques (M…
Construction Materials, Methods and Techniques (M…
Civil Engineering
ISBN:
9781305086272
Author:
William P. Spence, Eva Kultermann
Publisher:
Cengage Learning
Fundamentals Of Construction Estimating
Fundamentals Of Construction Estimating
Civil Engineering
ISBN:
9781337399395
Author:
Pratt, David J.
Publisher:
Cengage,
Architectural Drafting and Design (MindTap Course…
Architectural Drafting and Design (MindTap Course…
Civil Engineering
ISBN:
9781285165738
Author:
Alan Jefferis, David A. Madsen, David P. Madsen
Publisher:
Cengage Learning