A rectangular beam has a width 355 mm and a 660 mm depth on a simple span of 12.0 m. The straight tendons are placed at an eccentricity 125 mm below the N.A. (end-to-end of the beam), or 205 mm above the bottom of the beam. The initial prestressing force is 1,200,000 N. The allowable top concrete stress is -14.0 MPa (Compression) while the bottom concrete fiber stress is +1.50 MPa (Tension) both acting at the point of maximum moment. Assuming a loss of stress of 20 % of the initial prestressing force, determine the following: Situational Problem 1: the top concrete fiber stress at service stage (live load stage) in MPa; Situational Problem 2: the bottom concrete fiber stress at service stage (live load stage) in MPa; Situational Problem 3: the moment capacity of the beam as required by the fiber stress in Situational Problem 1, in kN m;

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
A rectangular beam has a width 355 mm and a 660 mm depth on a simple span of 12.0
m. The straight tendons are placed at an eccentricity 125 mm below the N.A. (end-to-end
of the beam), or 205 mm above the bottom of the beam. The initial prestressing force is
1,200,000 N. The allowable top concrete stress is -14.0 MPa (Compression) while the
bottom concrete fiber stress is +1.50 MPa (Tension) both acting at the point of maximum
moment. Assuming a loss of stress of 20% of the initial prestressing force, determine the
following:
Situational Problem 1: the top concrete fiber stress at service stage (live load stage)
in MPa;
Situational Problem 2: the bottom concrete fiber stress at service stage (live load
stage) in MPa;
Situational Problem 3: the moment capacity of the beam as required by the fiber
stress in Situational Problem 1, in kN m;
Situational Problem 4: the moment capacity of the beam as required by the fiber
stress in Situational Problem 2, in kN m;
Situational Problem 5:
the safe uniform live load the beam could carry in N/m,
based in the Situational Problems 2 and 3; and
Situational Problem 6: what is the concrete fiber stress at top and bottom at the
ends of the beam?
Transcribed Image Text:A rectangular beam has a width 355 mm and a 660 mm depth on a simple span of 12.0 m. The straight tendons are placed at an eccentricity 125 mm below the N.A. (end-to-end of the beam), or 205 mm above the bottom of the beam. The initial prestressing force is 1,200,000 N. The allowable top concrete stress is -14.0 MPa (Compression) while the bottom concrete fiber stress is +1.50 MPa (Tension) both acting at the point of maximum moment. Assuming a loss of stress of 20% of the initial prestressing force, determine the following: Situational Problem 1: the top concrete fiber stress at service stage (live load stage) in MPa; Situational Problem 2: the bottom concrete fiber stress at service stage (live load stage) in MPa; Situational Problem 3: the moment capacity of the beam as required by the fiber stress in Situational Problem 1, in kN m; Situational Problem 4: the moment capacity of the beam as required by the fiber stress in Situational Problem 2, in kN m; Situational Problem 5: the safe uniform live load the beam could carry in N/m, based in the Situational Problems 2 and 3; and Situational Problem 6: what is the concrete fiber stress at top and bottom at the ends of the beam?
Expert Solution
steps

Step by step

Solved in 5 steps with 4 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
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