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EXAMPLE 6.5 A simply supported beam with a uniform section spanning over 6 m is post-tensioned by two cables, both of which have an eccentricity of 100 mm below the centroid of the section at mid-span. The first cable is parabolic and is anchored at an eccentricity of 100 mm above the centroid at each end, the second cable is straight and parallel to the line joining the supports. The cross-sectional area of each cable is 100 mm² and they carry an initial stress of 1200 N/mm². The concrete has a cross- section of 2 x 10 mm² and a radius of gyration of 120 mm. The beam supports two concentrated loads of 20 kN each at the third points of the span, E = 38 kN/mm². Calculate using Lin's simplified method (a) the instantaneous deflection at the centre of span: and (b) the deflection at the centre of span after 2 years, assuming 20 per cent loss in prestress and the effective modulus of elasticity to be one-third of the short-term modulus of elasticity.

EXAMPLE 6.5 A simply supported beam with a uniform section spanning over 6 m is post-tensioned by two cables, both of which have an eccentricity of 100 mm below the centroid of the section at mid-span. The first cable is parabolic and is anchored at an eccentricity of 100 mm above the centroid at each end, the second cable is straight and parallel to the line joining the supports. The cross-sectional area of each cable is 100 mm² and they carry an initial stress of 1200 N/mm². The concrete has a cross- section of 2 x 10 mm² and a radius of gyration of 120 mm. The beam supports two concentrated loads of 20 kN each at the third points of the span, E = 38 kN/mm². Calculate using Lin's simplified method (a) the instantaneous deflection at the centre of span: and (b) the deflection at the centre of span after 2 years, assuming 20 per cent loss in prestress and the effective modulus of elasticity to be one-third of the short-term modulus of elasticity.

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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EXAMPLE 6.5 A simply supported beam with a uniform section spanning over 6 m is post-tensioned by two cables, both of which have an eccentricity of 100 mm below the centroid of the section at mid-span. The first cable is parabolic and is anchored at an eccentricity of 100 mm above the centroid at each end, the second cable is straight and parallel to the line joining the supports. The cross-sectional area of each cable is 100 mm² and they carry an initial stress of 1200 N/mm². The concrete has a cross- section of 2 x 104 mm² and a radius of gyration of 120 mm. The beam supports two concentrated loads of 20 kN each at the third points of the span, E = 38 kN/mm². Calculate using Lin's simplified method (a) the instantaneous deflection at the centre of span: and (b) the deflection at the centre of span after 2 years, assuming 20 per cent loss in prestress and the effective modulus of elasticity to be one-third of the short-term modulus of elasticity.
Transcribed Image Text:EXAMPLE 6.5 A simply supported beam with a uniform section spanning over 6 m is post-tensioned by two cables, both of which have an eccentricity of 100 mm below the centroid of the section at mid-span. The first cable is parabolic and is anchored at an eccentricity of 100 mm above the centroid at each end, the second cable is straight and parallel to the line joining the supports. The cross-sectional area of each cable is 100 mm² and they carry an initial stress of 1200 N/mm². The concrete has a cross- section of 2 x 104 mm² and a radius of gyration of 120 mm. The beam supports two concentrated loads of 20 kN each at the third points of the span, E = 38 kN/mm². Calculate using Lin's simplified method (a) the instantaneous deflection at the centre of span: and (b) the deflection at the centre of span after 2 years, assuming 20 per cent loss in prestress and the effective modulus of elasticity to be one-third of the short-term modulus of elasticity.
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