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
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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%
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