The section of a prestressed hollow core slab is shown in Figure-2. The slab is simply –supported over a 200 mm span of 7.5 m and carries a superimposed dead load (excluding self -weight) of 1.7 kPa and live load of 2.0 kPa. The total prestressing force is 570 kN at eccentricityof 40 mm. Assume loss of prestress of 18% at service loads. The properties of the section areas follows:Cross - sectional area = 120 × 10° mmMoment of Inertia, Ix = 312 x 10° mm*Weight of Beam = 2.40 kPaa. Determine the stress at the bottom fibers of the midspan due to the total load in MPa.b. Determine the stress at the top fibers of the midspan due to the total load in MPa.c. What maximum uniform load (in kNm) can the slab carry if the maximum allowablecompressive stress is 17.6 MPa and the maximum allowable tensile stress in concrete is 2.8MPa?1500 mm200 mmFigure-2

Span L= 7.5 m Superimposed load =1.7 kPa Live load= 2 kPa Total pre stressing force =570 kN…

The section of a prestressed hollow core slab is shown in Figure-2. The slab is simply – supported over a 200 mm span of 7.5 m and carries a superimposed dead load (excluding self - weight) of 1.7 kPa and live load of 2.0 kPa. The total prestressing force is 570 kN at eccentricity of 40 mm. Assume loss of prestress of 18% at service loads. The properties of the section are as follows: Cross - sectional area = 120 x 10³ mm Moment of Inertia, Iz = 312 x 10° mm Weight of Beam = 2.40 kPa a. Determine the stress at the bottom fibers of the midspan due to the total load in MPa. b. Determine the stress at the top fibers of the midspan due to the total load in MPa. c. What maximum uniform load (in kN/m) can the slab carry if the maximum allowable compressive stress is 17.6 MPa and the maximum allowable tensile stress in concrete is 2.8 MPa?

The section of a prestressed hollow core slab is shown in Figure-2. The slab is simply – supported over a 200 mm span of 7.5 m and carries a superimposed dead load (excluding self - weight) of 1.7 kPa and live load of 2.0 kPa. The total prestressing force is 570 kN at eccentricity of 40 mm. Assume loss of prestress of 18% at service loads. The properties of the section are as follows: Cross - sectional area = 120 x 10³ mm Moment of Inertia, Iz = 312 x 10° mm Weight of Beam = 2.40 kPa a. Determine the stress at the bottom fibers of the midspan due to the total load in MPa. b. Determine the stress at the top fibers of the midspan due to the total load in MPa. c. What maximum uniform load (in kN/m) can the slab carry if the maximum allowable compressive stress is 17.6 MPa and the maximum allowable tensile stress in concrete is 2.8 MPa?

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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Question

The section of a prestressed hollow core slab is shown in Figure-2. The slab is simply –
supported over a 200 mm span of 7.5 m and carries a superimposed dead load (excluding self -
weight) of 1.7 kPa and live load of 2.0 kPa. The total prestressing force is 570 kN at eccentricity
of 40 mm. Assume loss of prestress of 18% at service loads. The properties of the section are
as follows:
Cross - sectional area = 120 × 10° mm
Moment of Inertia, Ix = 312 x 10° mm*
Weight of Beam = 2.40 kPa
a. Determine the stress at the bottom fibers of the midspan due to the total load in MPa.
b. Determine the stress at the top fibers of the midspan due to the total load in MPa.
c. What maximum uniform load (in kNm) can the slab carry if the maximum allowable
compressive stress is 17.6 MPa and the maximum allowable tensile stress in concrete is 2.8
MPa?
1500 mm
200 mm
Figure-2

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