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

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

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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