PC PRELIMS Flashcards
Reduction in force, addressed as part of the design of a prestressed member.
Partial prestress loss
Prestress losses are divided into two broad categories:
- Initial
- Long-term losses / Time-dependent effects
Occur during stressing operation and include anchor seating, elastic shortening, and friction between prestressing steel and post-tensioning ducts or tendon deviators and harped pretensioned strands.
Initial losses
Occur because of viscoelastic material effects and include concrete shrinkage, creep, and tendon relaxation.
Long-term losses
Recognized as the founder of modern prestressed concrete, was successful because he recognized the value of high-strength prestressing materials and successfully incorporated high-strength materials into his design.
Eugene Freyssinet
All __________ are subject to losses resulting from elastic shortening, shrinkage, creep, and relaxation.
Prestressed members
Are subject to losses resulting from anchor set and friction.
Post-tensioned members
The __________ requires prestress losses to be considered in the calculation of effective tensile stress in the prestressed reinforcement, fse.
ACI Building Code (ACI 318-14)
6 types of prestressing losses
- Prestressed reinforcement seating at transfer (initial)
- Friction loss due to intended or unintended curvature in post-tensioning tendons (initial)
- Elastic shortening of concrete (initial)
- Creep of concrete (long-term)
- Shrinkage of concrete (long-term)
- Relaxation of prestressed reinforcement (long-term)
Are calculated at the tendon centroid and include consideration of the stress and strain in the tendon.
Losses
For _________, the losses are usually calculated at the critical sections, which are typically at midspan and the end of the member.
Precast pretensioned beams
For __________, the critical sections are at the member end, maximum positive moment locations, typically close to midspan, and maximum negative moment locations, usually over the supports.
Post-tensioned members
The ratio of modulus of elasticity of the prestressing reinforcement divided by the modulus of elasticity of concrete.
Modular ratio, n
If the calculated losses are __________, that is higher than actual losses, then more prestressing reinforcement is used and camber increases.
Too high
If the calculated losses are __________, the beam sags and cracks under service load.
Too low
__________ should neither be overly conservative nor ignored.
Loss calculations
3 methods in calculating losses of prestress
- Lump sum
- Detailed
- Time-dependent
The total combined losses in the prestress based on experience or historical data, to select the initial prestress.
Lump sum losses
Initial stress for post-tension
0.80fpu
Maximum initial prestress force for post-tension
0.70fpu
Initial strand stress for pretensioning
0.75fpu
A small amount of movement when a prestressing tendon is released from the jack.
Set
Anchor set of __________ is common for single strand systems and larger values are for some center plug multistrand systems.
1/4 to 3/8 in.
The amount of movement ranges between ____ and ____ depending on the anchorage system.
1/8 in, 1 in
Friction due to misalignment
Wobble friction
Friction due to intentional curvature resulting from the alignment of the duct in the member.
Curvature friction
Maximum sum of wobble and curvature friction
0.30
Reduces the strain in the tendon
Elastic Shortening
Notation:
Modulus of elasticity of the tendon, psi
Eps
Notation:
Modulus of elasticity of the concrete at the time of transfer, psi
Eci
Notation:
Initial prestress force, lbs
Pi
Notation:
Gross area of the section, in²
Ag
Notation:
Eccentricity of the tendon at the critical section, in
ep
Notation:
Gross moment of inertia of the section, in⁴
Ig
Notation:
Dead load moment due to girder weight, lb-in
Mg
Notation:
Unit weight of the concrete, pcf
Wc
Unit weight of precast concrete
160 pcf
Unit weight of cast-in-place concrete
150 pcf
Notation:
Strength of the concrete at the time of transfer, psi
f’ci
NOTATION:
Wobble coefficient
k
Notation:
Curvature coefficient
m (mu)
Transfer of the prestress force from the tendon to the concrete results in
Elastic Shortening
Continued deformation of the concrete under sustained loads.
Creep
Volume reduction of the concrete due to hydration of the cement and loss of water from the concrete as it cures.
Shrinkage
Notation:
Volume-to-surface ratio of the member
V/S
Notation:
Relative humidity
RH
Are induced in a member to counteract the external stresses which are developed due to the external loads or service loads.
Internal stresses
Is basically concrete in which internal stresses of a suitable magnitude and distribution are introduced so that the stresses resulting from the external loads are counteracted to a desired degree
Prestressed concrete
A stretched element used in a concrete member of structure to impart prestress to the concrete.
Tendon
A device generally used to enable the tendon to impart and maintain prestress in concrete.
Anchorage
A method of prestressing concrete in which the tendons are tensioned before the concrete is placed. In this method, the concrete is introduced by bond between steel and concrete.
Pretensioning
A method of prestressing concrete by tensioning the tendons against hardened concrete. In this method, the prestress is imparted concrete by bearing.
Post-tensioning
PRE-TENSION OR POST-TENSION?
Small sections are constructed.
Pre-tension
PRE-TENSION OR POST-TENSION?
Loss of strength is above 17%
Pre-tension
PRE-TENSION OR POST-TENSION?
This method is done due to bonding between concrete and steel.
Pre-tension
PRE-TENSION OR POST-TENSION?
It is cheaper because the cost of sheathing is not involved.
Pre-tension
PRE-TENSION OR POST-TENSION?
It is more durable and reliable.
Pre-tension
PRE-TENSION OR POST-TENSION?
Size of a member is not limited. Heavy long span bridges can be constructed by using this technique.
Post-tension
PRE-TENSION OR POST-TENSION?
Loss of strength is not more than 15%
Post-tension
PRE-TENSION OR POST-TENSION?
This is developed due to bearing.
Post-tension
PRE-TENSION OR POST-TENSION?
It is costlier because the cost of sheathing is required.
Post-tension
PRE-TENSION OR POST-TENSION?
Its durability depends upon the two anchorage.
Post-tension
Minimum grade of concrete for post-tensioned members.
M30