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1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

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Page 1: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

1

Page 2: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

By

Dr. Attaullah Shah

Swedish College of Engineering and Technology Wah Cantt.

CE-407

Lec-02

Structural Engineering

Page 3: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

The net stress in the prestressed section

The resultant stress due to the combined effect of applied loads and pre-stress force is given as:

At the ends of the beam where there is no moment the MC/I =0 , the stress becomes

Page 4: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Example

Page 5: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Solution

Page 6: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

The kern of a section is the region in which a compressive point load may be applied without producing any tensile stress on the cross section.

Page 7: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Shapes of pre-stressed sections:

− Rectangular shape: Simple and easy to pour

− I-Section and T-section: Economical

− Channels and Boxes

Page 8: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Prestress losses

− The initial prestress becomes smaller with time due to following reasons:

A lump sum value has been recommended by ACI Code

Page 9: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Elastic Shortening

Page 10: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering
Page 11: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Losses due to shrinkage

Page 12: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Relaxation of creep in the tendons

Page 13: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Slippage in post tension and anchorage system

Page 14: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Friction along the duct

Page 15: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Ultimate Stress of pre-stressed section

Page 16: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering
Page 17: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering
Page 18: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering
Page 19: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering
Page 20: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering
Page 21: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering
Page 22: 1. By Dr. Attaullah Shah Swedish College of Engineering and Technology Wah Cantt. CE-407 Lec-02 Structural Engineering

Assignment No.1