Download - Design Quad
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Task: Design Parameters of Area Elements
2014 / 1 Design Area Elements
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Task: Design Parameters of Area Elements
2014 / 2 Design Area Elements
Main reinforcement = direction local x-axis
Transverse reinforcement = direction local y-axis
In BEMESS both the directions of thereinforcement layers and the terms ’upper’ and’lower’ are oriented at the local coordinatesystems; ’lower’ is at the side of positive z axis.
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Task: Design Parameters of Area Elements
2014 / 3 Design Area Elements
Minimum reinforcementimportant for SLS design
Maximum reinforcementfor non linear analysis only
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Task – Design ULS – area elements
2014 / 4 Design Area Elements
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Task – Design ULS – Punching Check
2014 / 5 Design Area Elements
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Results – ULS Design
2014 / 6 Design Area Elements
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Task – Design SLS – Area Elements
2014 / 7 Design Area Elements
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Task – Design SLS – area elements
2014 / 8 Design Area Elements
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Design ULS – Prestressed Elements
2013 / 9 Design
3 tendons with distance of 1.40 m
Cross section 4,0 m x 1,0 mmodelled with QUAD elements of1,0 m thickness
The influence of every singletendon will be distributed by atriangular shape with
2 * 2.0 * QUAD-thickness
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Design ULS – Prestressed Elements
REINFORCEMENT ACC. TO EN 1992-1-1(DK) in [cm2/m] at nodes upper/lower
General load safety factor - as defined in BEMESS: Gamma-f = 1.00
Shear: stresses VEd/d and VRd,ct/d with d=effective depth = h-hm
Shear index 2m = minimum shear reinforcement
Group 1 NODE LC MAT GEO h Reinforcement dphi Shr VEd/d Ass
Grp No No No No [m] main cross dir deg zon [MPa] [cm2/m2]
MBW VRd,ct/d
1 607 2122 1 1 1.00 2.65 13.25 90 90 1 0.273
2 90 0.620
lever arm for upper reinforcm =0.901 for lower =0.939 [m]
upside lay. 1|2=0.907 |0.894 bottom lay. 1|2=0.945 |0.933 [m]
Angle of main shear force to x axis = 178.4 [°]
Normal force in direction of main shear force = -1708. [kN/m]
Bending moment in direction of main shear = -1562. [kN/m]
- -> upper reinf. is taken for tension reinf. ro:
Tension reinf. in direction of main shear force 13.25 [cm2/m]
V_design= 261.77 VRD1= 594.28 VRD2= 4012.6 [kN/m] ro= 0.14
-----------------------------------------------------------------
maximum 5.65 13.25 90 1 0.273
incl.shear ro_v 5.65 5.65 90 0.620
Explanations shear state Shr zon:
1 = check without necessary shear reinforcement
2 = shear reinforcement required
m = minimum shear reinforcement
2013 / 10 Design
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Design ULS – Prestressed Elements
Reinforcement reduction due to tendon stress increase
element/node LC layer nten az z depsz dsigz ZZ delta_as
[cm2/m] [m] [o/oo] [MPa] [m] [cm2/m]
NODE 607 2122 top 2 3 18.02 -0.311 17.118 196.85 0.747 6.51:
nstr = number of acting tendons in element influence radius
az = per m distributed active prestressed tendon steel area
(AZ distributed triangle wise on 2.0*element thickness right+left)
z = averaged local z coordinate (measured from element center line)
depsz = averaged increase of tendon strain
dsigz = applied increase of stress in prestressed tendon steel, limited to
fym/gammas - sigp0 with fym=0.5*(fyc+ft) and sigp0=prestress stress
ZZ = averaged lever arm of tendons
delta_as = maximum reinforcement reduction due to tendon stress increase
2013 / 11 Design
Distributed tendon steel area in node 607
= 22,50 ²
2 + 2 ∙
22,50
2 ∙
200 − 140
200 = 18,0 ²
Node 607 centre of cross section
_ = 18,0 ∙ 196,85
5251,15
∙ 0,747
0,894 = 6,49 ²
Ratio of lever arm tendonover reinforcement steel
Reinforcement steelstress according to straindistribution
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Design ULS – Prestressed Elements
2013 / 12 Design
App!"# !$%&"'(" )* (&"(( !$ p&"(&"(("# "$#)$ (""DSIGZ !$ )#" 607
'-. =0,5 ∙ 1520,00 + 1770,00
1,15− 12/4,/9 = 14/0,4/ − 12/4,/9 = 196,05