A simply supported concrete beam of span 8m and rectangular cross-section 125mm wide and 250mm deep, is prestressed by a cable in which the total tensile force is 220 kN. The center line of the cable is parallel to the axis of the beam and 75mm above the bottom over the middle third of the span and is curved upward in a parabola over the outer thirds of the span to a distance of 175mm above the bottom at the supports. If the modulus of elasticity of concrete is 35 kN/sq.mm and the density of concrete is 24 kN/cu.m, calculate the deflection due to self – weight + prestress.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A simply supported concrete beam of span 8m and rectangular cross-section 125mm wide and 250mm deep, is prestressed by a cable in which the total tensile force is 220 kN. The center line of the cable is parallel to the axis of the beam and 75mm above the bottom over the middle third of the span and is curved upward in a parabola over the outer thirds of the span to a distance of 175mm above the bottom at the supports. If the modulus of elasticity of concrete is 35 kN/sq.mm and the density of concrete is 24 kN/cu.m, calculate the deflection due to self – weight + prestress.

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