Importance of Controlling Deflections in Structural Concrete
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Questions and Answers

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.

reinforced

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.

<p>Mohr's moment</p> Signup and view all the answers

Tendons are located with eccentricities towards the ______ of beams to counteract the sagging bending moments due to transverse loads.

<p>soffit</p> Signup and view all the answers

The prestressing force has a significant impact on ______ of prestressed members.

<p>deflections</p> Signup and view all the answers

The computation of deflections in the post-cracking stage is made by considering ______-curvature relationships.

<p>moment</p> Signup and view all the answers

The limit state approach is used to determine the ______ of structures under various loads.

<p>stiffness requirements</p> Signup and view all the answers

The effects of prestressing force on structures include changes in ______.

<p>deflection limits</p> Signup and view all the answers

The tendon profile has a significant impact on the ______ of prestressed beams.

<p>deflections</p> Signup and view all the answers

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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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.

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