A prestressed concrete beam having a cross-sectional area (A) of >X IUmm is simply supported over a span of 10 m. It supports a uniformly distrib- uted imposed load of 3 kN/m, half of which is non-permanent. The tendon follows a trapezoidal profile with an eccentricity of 100 mm within the middle-third of the span and varies linearly from the third-span points to zero at the supports. The area of tendons Ap = 350 mm² have effective prestress of 1290 N/mm² immediately after transfer. Using the following data, calculate 1. the short-term deflections, and 2. the long-term deflections. Assume = 4.5 × 108 mm* E = 34 kN/mm2² A = 5 x 10¹ mm² = 200 kN/mm² E₂ Density of concrete = 23.6 kN/m³ Creep coefficient = 2 Concrete shrinkage, & = 450 x 10-6 Relaxation of steel stress = 10%
A prestressed concrete beam having a cross-sectional area (A) of >X IUmm is simply supported over a span of 10 m. It supports a uniformly distrib- uted imposed load of 3 kN/m, half of which is non-permanent. The tendon follows a trapezoidal profile with an eccentricity of 100 mm within the middle-third of the span and varies linearly from the third-span points to zero at the supports. The area of tendons Ap = 350 mm² have effective prestress of 1290 N/mm² immediately after transfer. Using the following data, calculate 1. the short-term deflections, and 2. the long-term deflections. Assume = 4.5 × 108 mm* E = 34 kN/mm2² A = 5 x 10¹ mm² = 200 kN/mm² E₂ Density of concrete = 23.6 kN/m³ Creep coefficient = 2 Concrete shrinkage, & = 450 x 10-6 Relaxation of steel stress = 10%
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Question
Transcribed Image Text:A prestressed concrete beam having a cross-sectional area (A) of
5x 10 mm is simply supported over a span of 10 m. It supports a uniformly distrib-
uted imposed load of 3 kN/m, half of which is non-permanent. The tendon follows a
trapezoidal profile with an eccentricity of 100 mm within the middle-third of the span
and varies linearly from the third-span points to zero at the supports. The area of
tendons Ap
= 350 mm² have effective prestress of 1290 N/mm² immediately after
transfer. Using the following data, calculate
1. the short-term deflections, and
2. the long-term deflections.
Assume
= 4.5 x 108 mm*
1
Ec
= 34 kN/mm²
A = 5 x 10¹ mm²
E = 200 kN/mm²
Density of concrete = 23.6 kN/m³
Creep coefficient = 2
Concrete shrinkage, & = 450 x 10-6
Relaxation of steel stress = 10%
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 4 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