2. A 6 m long cantilever beam 250 mm x 600 mm carries a uniformly distributed dead load (beam weight included) of 5 kN/m throughout the length and a concentrated live load of 18 kN at the free end. To prevent excessive deflection of the beam it is pre-tensioned with 12 mm Ø strands causing a final prestress force of 540 kN. Determine the following: Resulting stress at the bottom fiber at the free end if the center of gravity of the strands coincide the centroid of the section. b. Resulting stress at the top fiber at the fixed end if the center of gravity of the strands is at 100 mm above the neutral axis of the beam. c. Eccentricity of the prestress force at the fixed end such that the resulting stress at the top fiber of the beam at the fixed end is zero.
2. A 6 m long cantilever beam 250 mm x 600 mm carries a uniformly distributed dead load (beam weight included) of 5 kN/m throughout the length and a concentrated live load of 18 kN at the free end. To prevent excessive deflection of the beam it is pre-tensioned with 12 mm Ø strands causing a final prestress force of 540 kN. Determine the following: Resulting stress at the bottom fiber at the free end if the center of gravity of the strands coincide the centroid of the section. b. Resulting stress at the top fiber at the fixed end if the center of gravity of the strands is at 100 mm above the neutral axis of the beam. c. Eccentricity of the prestress force at the fixed end such that the resulting stress at the top fiber of the beam at the fixed end is zero.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
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 (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning