The ultimate moment of resistance of unbonded prestressed concrete beams

1969 ◽  
Vol 21 (66) ◽  
pp. 43-54 ◽  
Author(s):  
F. N. Pannell
PCI Journal ◽  
2021 ◽  
Vol 66 (2) ◽  
pp. 21-57
Author(s):  
Kim S. Elliott

A typical 1200 mm (48 in.) wide × 200 mm (8 in.) deep prestressed concrete hollow-core unit is analyzed and designed in order to make a comparison between Eurocode 2 and ACI 318-08. This includes calculations for serviceability limit state of stress and moment of resistance, ultimate moment of resistance, ultimate shear capacities, flexural stiffness (that is, for deflection), and cover to pretensioning tendons for conditions of environmental exposure and fire resistance. Concrete cylinder strength is 40 MPa (5.8 ksi), and concrete cube strength is 50 MPa (7.3 ksi). The hollow-core unit is pretensioned using seven-wire helical strands. Worked examples are presented in parallel formation according to Eurocode 2 and ACI 318. For uniformly distributed loads, the design criterion between the service moment to service moment of resistance (Ms/Msr for EC2 and Ms/Msn for ACI 318) and the ultimate design bending moment to ultimate moment of resistance (MEd/MRd for EC2 and Mu/φMn for ACI 318) is well balanced for this example. Usually the service moment is critical unless the amount of prestress is small. For EC2-1-1, flexurally uncracked shear capacity VRd,c is only limiting when the span-to-depth ratio in this example is less than about 35. For ACI 318, flexurally cracked shear capacity φVci is limiting when span-to-depth ratio is 42, showing that shear cracked in flexure will often be the governing criterion.


2020 ◽  
Vol 26 (3) ◽  
pp. 135-142
Author(s):  
SIMON OLAYIWOLA ADEREMI OLAWALE ◽  
OLUTOSIN PETER AKINTUNDE ◽  
MOSES OLADIPUPO AFOLABI ◽  
OLUWOLE AKINYELE AGBEDE

The optimization of the doubly reinforced concrete beam was investigated in this paper using the simulated annealing. Materials costs are considered as the objective function. The variables are the width, depth, compression steel, tension steel and cost. The constraints are the ultimate moment of resistance, compression/tension-steel ratio, minimum and maximum area of reinforcements. At the concrete compressive strength of 25 MPa, it is demonstrated that simulated annealing method can be used to optimize the design of concrete beams.


PCI Journal ◽  
1973 ◽  
Vol 18 (1) ◽  
pp. 39-49
Author(s):  
A. A. Hamoudi ◽  
R. A. Bierweiler ◽  
M. K. S. Phang

PCI Journal ◽  
2017 ◽  
Vol 62 (1) ◽  
Author(s):  
J. Chris Carroll ◽  
Thomas E. Cousins ◽  
Carin L. Roberts-Wollmann

PCI Journal ◽  
1994 ◽  
Vol 39 (6) ◽  
pp. 70-88
Author(s):  
Bruce W. Russell ◽  
Ned H. Burns

PCI Journal ◽  
1958 ◽  
Vol 3 (4) ◽  
pp. 19-27
Author(s):  
A. M. Ozell ◽  
J. F. Diniz

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