PRESTRESSED CONCRETE STRUCTURES
DESIGN CONCEPTS
1. What is meant by end block in a post
tensioned member?
The zone between the end of the beam and the section
where only longitudinal stress exists is generally referred to as the anchorage
zone or end block.
2. List
any two applications of partial prestressing.
·
Used in large diameter
concrete pipes
·
Used in railway sleepers
·
Water tanks
·
Precast concrete piles to
counter tensile stress during transport and erection. used in bridges
construction
3. What
is meant by partial prestressing?
The degree of prestress applied to concrete in which
tensile stresses to a limited degree are permitted in concrete under working
load. In this case, in addition to tensioned steel, a considerable proportion
of untensioned reinforcement is generally used to limit the width of cracks
developed under service load.
4. Define degree of prestressing
A measure of the magnitude of the prestressing force
related to the resultant stress occurring in the structural member at working
load.
5. Define Bursting tension.
The effect of transverse tensile stress is to
develop a zone of bursting tension in a direction perpendicular to the
anchorage force resulting in horizontal cracking.
6. Define Proof stress
The tensile stress in steel which produces a
residual strain of 0.2 percent of the original gauge length on unloading.
7. Define cracking load.
The load on the
structural element corresponding to the first visible crack. 8. Define
Debonding.
Prevention of bond
between the steel wire and the surrounding concrete. 9. Write formula for
Moment of resistance in BIS code.
Mu
= Apb Aps (d-dn)
10.
What are the types of flexural failure?
·
Fracture of steel in tension
·
Failure of under-reinforced section
·
Failure of over-reinforced section
·
Other modes of failure
The
end block of a post-tensioned PSC beam, 300 x 300 mm is subjected to a
concentric anchorage force of 832.8 kN by a Freyssinet anchorage of area 11720
mm2. Design and detail the anchorage reinforcement for the end block.
Prestressing Concrete,P= 832800 N
Average compressive
stress, fc= (832800/300x300) =9.3 N/mm2
2ypo
= (?/4xd2) (1/2) = ?(11720x4/?mm =
123
2yo
= 300/2 = 150mm
Ypo/yo = (123/300)=0.41
Fc = P/A = 832.8/(300x300) = 9.25N/mm2
Tensile stress Fv(max) =fc(0.98 -0.825 ypo/yo) =
9.3(0.98 -0.825x0.41) = 6 N/mm2
Bursting
tension Fbst = p(0.48 -0.4 ypo/yo)
= 832800(0.48-0.4x0.41)
= 264000N
Using 10mm diameter mild steel links with yield
stress of 260 N/mm2
Ast
= Fbst/0.87fy = (260x103)/(0.87x260) = 706.85mm2
Number
of reqd =(264000/(0.87x260x79))= 15
The reinforcement is to
be arranged in the zone 0.2 yo=(0.2x150) =30mm
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