The lintel of prestressed reinforced concrete in the figure below is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.10 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 47.5 cm2. Young's modulus for the concrete is 3.00 1010 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.45 106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length?
The lintel of prestressed reinforced concrete in the figure below is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.10 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 47.5 cm2. Young's modulus for the concrete is 3.00 1010 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.45 106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The lintel of prestressed reinforced concrete in the figure below is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.10 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 47.5 cm2. Young's modulus for the concrete is 3.00 1010 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.45 106 N/m2.
(a) By what distance will the rod compress the concrete when the original tension in the rod is released
(b) What is the new tension T2 in the rod?
(c) The rod will then be how much longer than its unstressed length?
(d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length?
(e) Find the required original tension T1 in the rod.
(b) What is the new tension T2 in the rod?
(c) The rod will then be how much longer than its unstressed length?
(d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length?
(e) Find the required original tension T1 in the rod.
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