A concrete beam having a rectangular section, 150mm wide by 300 mm deep is prestressed by a parabolic cable having an eccentricity of 75mm at center of span towards the bottom and an eccentricity of 25mm towards the top at support sections. The effective force in the cable is 350 kN. The beam supports a concentrated load of 20 kN at the center of span in addition to the self - weight. The modulus of elasticity of concrete is 38 kN/sq.mm and span is 8m. Calculate the long term deflection assuming the loss ratio as 0.80 and creep coefficient as 1.6. Hint: Final deflection equation is simplified and can be solved by the equation shown below. "n is the % remaining after loss. [1 +4 [7APS + ADL +ALL O 8.41 mm O 38.41 mm 28.41 mm O 18,41 mm

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A concrete beam having a rectangular section, 150mm wide by 300 mm deep is prestressed by a parabolic cable
having an eccentricity of 75mm at center of span towards the bottom and an eccentricity of 25mm towards the top
at support sections. The effective force in the cable is 350 kN. The beam supports a concentrated load of 20 kN at
the center of span in addition to the self - weight. The modulus of elasticity of concrete is 38 kN/są.mm and span
is 8m. Calculate the long term deflection assuming the loss ratio as 0.80 and creep coefficient as 1.6. Hint: Final
deflection equation is simplified and can be solved by the equation shown below. "n is the % remaining after loss.
[1 + ¢) [nAps + Api +Al]
O 8.41 mm.
O 38.41 mm
O 28.41 mm
O 18.41 mm
Transcribed Image Text:A concrete beam having a rectangular section, 150mm wide by 300 mm deep is prestressed by a parabolic cable having an eccentricity of 75mm at center of span towards the bottom and an eccentricity of 25mm towards the top at support sections. The effective force in the cable is 350 kN. The beam supports a concentrated load of 20 kN at the center of span in addition to the self - weight. The modulus of elasticity of concrete is 38 kN/są.mm and span is 8m. Calculate the long term deflection assuming the loss ratio as 0.80 and creep coefficient as 1.6. Hint: Final deflection equation is simplified and can be solved by the equation shown below. "n is the % remaining after loss. [1 + ¢) [nAps + Api +Al] O 8.41 mm. O 38.41 mm O 28.41 mm O 18.41 mm
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