Podcast
Questions and Answers
The computation of short-term or instantaneous deflections is conveniently done by using ______ theorems.
The computation of short-term or instantaneous deflections is conveniently done by using ______ theorems.
Mohr's
Prestressed concrete beam behaves in a manner similar to that of a ______ concrete beam in the post-cracking stage.
Prestressed concrete beam behaves in a manner similar to that of a ______ concrete beam in the post-cracking stage.
reinforced
Short-term or instantaneous deflections of prestressed members are governed by the ______ moment distribution along the span.
Short-term or instantaneous deflections of prestressed members are governed by the ______ moment distribution along the span.
bending
[Blank] area theorems are readily applicable for the estimation of deflections due to the prestressing force, self-weight and imposed loads.
[Blank] area theorems are readily applicable for the estimation of deflections due to the prestressing force, self-weight and imposed loads.
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Tendons are located with eccentricities towards the ______ of beams to counteract the sagging bending moments due to transverse loads.
Tendons are located with eccentricities towards the ______ of beams to counteract the sagging bending moments due to transverse loads.
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The prestressing force has a significant impact on ______ of prestressed members.
The prestressing force has a significant impact on ______ of prestressed members.
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The computation of deflections in the post-cracking stage is made by considering ______-curvature relationships.
The computation of deflections in the post-cracking stage is made by considering ______-curvature relationships.
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The limit state approach is used to determine the ______ of structures under various loads.
The limit state approach is used to determine the ______ of structures under various loads.
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The effects of prestressing force on structures include changes in ______.
The effects of prestressing force on structures include changes in ______.
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The tendon profile has a significant impact on the ______ of prestressed beams.
The tendon profile has a significant impact on the ______ of prestressed beams.
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Study Notes
Importance of Control of Deflections
- Adequate stiffness in structural concrete is essential to limit deflections at working loads, as excessive deflections can affect both strength and serviceability.
- Excessive sagging in structural members can lead to aesthetic issues and may render floors unsuitable for their intended use.
- Large deflections under dynamic loads create discomfort for users of the structure.
- Significant deflections can cause damage to finishes, partitions, and associated supporting structures.
Factors Influencing Deflections
- Deflections of prestressed concrete members are primarily influenced by:
- Imposed load and self-weight.
- Magnitude of the prestressing force.
- Cable profile and its arrangement.
- Second moment of area of the cross-section.
- Modulus of elasticity of concrete.
- Shrinkage, creep, and relaxation of steel stress.
- Span length of the member.
- Fixity conditions at the supports.
Behavior of Prestressed Concrete
- In the pre-cracking stage, whole cross-section contributes to deflection calculations using the second moment of area of the gross concrete section.
- Serviceability in prestressed concrete members is critical and parallels reinforced concrete design, emphasizing the need to control deflections effectively, particularly at cracking.
- Primary design concerns include flexural stress limits and failure modes in flexure, shear, and torsion.
Long-term Deformation Concerns
- Prestressed concrete members face sustained eccentric compression affecting their creep deformation over time.
- Poor prediction of long-term deformation can lead to issues such as:
- Reverse deflections causing improper drainage on roofs.
- Uncomfortable conditions in bridges or aqueducts.
- Cracking or misalignment in building partitions, windows, and doors.
Short-term Deflections Computation
- Short-term deflections occur just after prestress transfer and during load application.
- Use of Mohr’s theorems facilitates convenient computation of these instant deflections.
- Mohr's moment area theorems apply to estimate deflections caused by prestressing force, self-weight, and imposed loads.
Tendon Profile Effects
- Tendons in prestressed beams are typically placed eccentrically towards the beam soffit to counteract sagging moments resulting from transverse loads.
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Description
Learn about the importance of controlling deflections in structural concrete members to ensure strength and serviceability. Understand why excessive sagging can be detrimental to a building's structure and usability.