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CE - 448 Prestressed Concrete Design

This document is a homework assignment from an Indian Institute of Technology Bombay course on prestressed concrete design. It contains two problems. The first asks students to (1) find the eccentricity required for a 235 kN prestressing force to result in zero stress at the center of a 10 m simply supported beam and (2) find the prestressing force required to achieve the same if the tendon is concentric. The second problem asks students to determine the profile of a 250 kN prestressing cable that can balance an 8 kN/m load on a concrete beam with a 20 m middle span and two 2.5 m overhangs on each side.

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Yash Dhabalia
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30 views1 page

CE - 448 Prestressed Concrete Design

This document is a homework assignment from an Indian Institute of Technology Bombay course on prestressed concrete design. It contains two problems. The first asks students to (1) find the eccentricity required for a 235 kN prestressing force to result in zero stress at the center of a 10 m simply supported beam and (2) find the prestressing force required to achieve the same if the tendon is concentric. The second problem asks students to determine the profile of a 250 kN prestressing cable that can balance an 8 kN/m load on a concrete beam with a 20 m middle span and two 2.5 m overhangs on each side.

Uploaded by

Yash Dhabalia
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Indian Institute of Technology Bombay

Department of Civil Engineering


Spring Semester 2016-2017

CE 448 Prestressed Concrete Design


Homework 5
February 28, 2017

1. A prestressed concrete beam supports a live load of 4 kN/m over a simply supported span
of 10 m. The beam has an I-section with overall depth of 500 mm. The thickness of the
flange and web are 60 and 80 mm, respectively. The width of flange is 200 mm. The beam
is to be prestressed by an effective prestressing force of 235 kN at a suitable eccentricity
such that the resultant stress at the soffit of the beam at the centre of span is zero. (1) Find
the eccentricity required for the prestressing force. (2) If the tendon is concentric, what
should be the magnitude of prestressing force for the resultant stress to be zero at the bottom
fibre at mid-span.

2. A concrete beam with a double overhang has the middle span equal to 20 m and the equal
overhangs equal to 2.5 m on either side. Determine the profile of prestressing cable with
an effective force of 250 kN which can balance a uniformly distributed load of 8 kN/m on
the beam, which includes the self-weight of the beam. Sketch the cable profile marking the
eccentricity of cable at the supports and mid-span.

The assignment should be hand-written, and uploaded on moodle after scanning and converting to
PDF document.

(Due on March 7, 2017)

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