Contents Eurocode 2 04 RC PN 001
User Manual: Eurocode 2-04 RC-PN-001
Open the PDF directly: View PDF 
.
Page Count: 6
| Download | |
| Open PDF In Browser | View PDF |
Software Verification PROGRAM NAME: REVISION NO.: SAFE 0 EXAMPLE EUROCODE 2-04 RC-PN-001 Slab Punching Shear Design PROBLEM DESCRIPTION The purpose of this example is to verify slab punching shear design in SAFE The numerical example is a flat slab that has three 8-m spans in each direction, as shown in Figure 1. 0.3 m A B 8m C 8m D 0.3 m 8m 0.6 m 4 0.25 m thick flat slab 8m 3 Columns are 0.3 m x 0.9 m with long side parallel to the Y-axis, typical 8m Concrete Properties Unit weight = 24 kN/m3 f'c = 30 N/mm2 2 8m Y X 1 Loading DL = Self weight + 1.0 kN/m 2 LL = 4.0 kN/m2 0.6 m Figure 1: Flat Slab for Numerical Example The slab overhangs beyond the face of the column by 0.15 m along each side of the structure. The columns are typically 0.3 m x 0.9 m with the long side parallel to the Y-axis. Thick plate properties are used for the slab. The concrete has a unit weight of 24 kN/m3 and a f 'c of 30 N/mm2. The dead load consists of the self weight of the structure plus an additional 1 kN/m2. The live load is 4 kN/m2. EXAMPLE EUROCODE 2-04 RC-PN-001 - 1 Software Verification PROGRAM NAME: REVISION NO.: SAFE 0 TECHNICAL FEATURES OF SAFE TESTED Calculation of punching shear capacity, shear stress and D/C ratio. RESULTS COMPARISON Table 1 shows the comparison of the punching shear capacity, shear stress ratio and D/C ratio obtained from SAFE with the punching shear capacity, shear stress ratio and D/C ratio obtained by the analytical method. They match exactly for this problem. Table 1 Comparison of Design Results for Punching Shear at Grid B-2 National Annex CEN Default, Norway, Slovenia and Sweden Finland, Singapore and UK Denmark Method Shear Stress (N/mm2) Shear Capacity (N/mm2) D/C ratio SAFE 1.100 0.578 1.90 Calculated 1.099 0.578 1.90 SAFE 1.100 0.5796 1.90 Calculated 1.099 0.5796 1.90 SAFE 1.100 0.606 1.82 Calculated 1.099 0.606 1.81 COMPUTER FILE: EUROCODE 2-04 RC-PN-001.FDB CONCLUSION The SAFE results show an acceptable comparison with the independent results. EXAMPLE EUROCODE 2-04 RC-PN-001 - 2 Software Verification PROGRAM NAME: REVISION NO.: SAFE 0 HAND CALCULATION Hand Calculation for Interior Column using SAFE Method d= [( 250 − 26 ) + ( 250 − 38)] 2 = 218 mm Refer to Figure 2. u 1 = u = 2•300 + 2•900 + 2•π•436 = 5139.468 mm 1172 Note: All dimensions in millimeters Critical section for punching shear shown dashed. Y 436 150 150 436 B A Column 436 Side 3 Side 1 Side 2 450 X 1772 450 Center of column is point (x1, y1). Set this equal to (0,0). 436 Side 4 D C Figure 2: Interior Column, Grid B-2 in SAFE Model From the SAFE output at Grid B-2: V Ed = 1112.197 kN k 2 M Ed2 = 41.593 kN-m k 3 M Ed3 = 20.576 kN-m EXAMPLE EUROCODE 2-04 RC-PN-001 - 3 Software Verification PROGRAM NAME: REVISION NO.: SAFE 0 Maximum design shear stress in computed in along major and minor axis of column: VEd k2 M Ed ,2u1 k3 M Ed ,3u1 + vEd = 1 + ud VEdW1,2 VEdW1,3 (EC2 6.4.4(2)) c2 W1 = 1 + c1c2 + 4c2 d + 16d 2 + 2π dc1 2 W1,2 = 9002 + 300 • 900 + 4 • 300 • 218 + 16 • 2182 + 2π • 218 • 900 2 W1,2 = 2,929, 744.957 mm2 3 W = 1,3 9002 + 900 • 300 + 4 • 900 • 218 + 16 • 2182 + 2π • 218 • 300 2 W1,2 = 2, 271,104.319 mm2 VEd k2 M Ed ,2u1 k3 M Ed ,3u1 vEd = + 1 + u1d VEdW1,2 VEdW1,3 1112.197 • 103 41.593 • 106 • 5139.468 20.576 • 106 • 5139.468 1 vEd = + + 5139.468 • 218 1112.197 • 103 • 2929744.957 1112.197 • 103 • 2271104.319 vEd = 1.099 N/mm2 Thus v max = 1.099 N/mm2 For CEN Default, Finland, Norway, Singapore, Slovenia, Sweden and UK: C Rd ,c = 0.18 γ c = 0.18/1.5 = 0.12 (EC2 6.4.4) For Denmark: CRd ,c = 0.18 γ c = 0.18/1.45 = 0.124 (EC2 6.4.4) The shear stress carried by the concrete, V Rd,c , is calculated as: 13 VRd ,c C Rd ,c k (100 ρ1 fck ) + k1σ cp = (EC2 6.4.4) with a minimum of: v= Rd ,c (v min + k1σ cp ) EXAMPLE EUROCODE 2-04 RC-PN-001 - 4 (EC2 6.4.4) Software Verification PROGRAM NAME: REVISION NO.: k= 1+ 200 ≤ 2.0 = 1.9578 d k1 = 0.15. ρ1 = As1 ≤ 0.02 bw d SAFE 0 (EC2 6.4.4(1)) (EC2 6.2.2(1)) Area of reinforcement at the face of column for design strip are as follows: For CEN Default, Norway, Slovenia and Sweden: A s in Strip Layer A = 9204.985 mm2 A s in Strip Layer B = 8078.337 mm2 Average A s = ( 9204.985 + 8078.337 ) 2 = 8641.661 mm2 ρ 1 = 8641.661 ( 8000 • 218 ) = 0.004955 ≤ 0.02 For Finland, Singapore and UK: A s in Strip Layer A = 9319.248 mm2 A s in Strip Layer B = 8174.104 mm2 Average A s = ( 9319.248 + 8174.104 ) 2 = 8746.676 mm2 ρ 1 = 8746.676 ( 8000 • 218 ) = 0.005015 ≤ 0.02 For Denmark: A s in Strip Layer A = 9606.651 mm2 A s in Strip Layer B = 8434.444 mm2 Average A s = ( 9606.651 + 8434.444 ) 2 = 9020.548 mm2 ρ 1 = 9020.548 ( 8000 • 218 ) = 0.005172 ≤ 0.02 EXAMPLE EUROCODE 2-04 RC-PN-001 - 5 Software Verification PROGRAM NAME: REVISION NO.: SAFE 0 For CEN Default, Denmark, Norway, Singapore, Slovenia, Sweden and UK: ν min = 0.035k 3 2 f ck 1 2 = 0.035 (1.9578 ) 3/2 ( 30 ) 1/2 = 0.525 N/mm2 For Finland: ν min = 0.035k 2/3 f ck1 2 = 0.035 (1.9578 ) 2/3 ( 30 ) 1/2 = 0.3000 N/mm2 For CEN Default, Norway, Slovenia and Sweden: vRd ,c = 0.12 • 1.9578 (100 • 0.004955 • 30 ) 13 + 0 = 0.5777 N/mm2 For Finland, Singapore, and UK: 13 vRd ,c = 0.12 • 1.9578 (100 • 0.005015 • 30 ) + 0 = 0.5796 N/mm2 For Denmark: 13 vRd ,c = 0.124 • 1.9578 (100 • 0.005015 • 30 ) + 0 = 0.606 N/mm2 For CEN Default, Norway, Slovenia and Sweden: Shear Ratio = v max = vRd ,c 1.092 = 1.90 0.5777 For Finland, Singapore and UK: Shear Ratio = v max = vRd ,c 1.092 = 1.90 0.5796 For Denmark: Shear Ratio = v max = vRd ,c EXAMPLE EUROCODE 2-04 RC-PN-001 - 6 1.092 = 1.81 0.606
Source Exif Data:
File Type : PDF File Type Extension : pdf MIME Type : application/pdf PDF Version : 1.5 Linearized : Yes Author : Faisal Habib Comments : Company : Create Date : 2016:12:19 12:52:23-08:00 MT Win Eqns : 1 Modify Date : 2016:12:19 12:52:26-08:00 Source Modified : D:20161218155424 Subject : Language : EN-US Tagged PDF : Yes XMP Toolkit : Adobe XMP Core 5.6-c015 84.158975, 2016/02/13-02:40:29 Metadata Date : 2016:12:19 12:52:26-08:00 Creator Tool : Acrobat PDFMaker 15 for Word Document ID : uuid:908d1460-7162-4bda-8cc7-ea9342dab7ab Instance ID : uuid:a65c7923-7cc4-443e-a3df-def41f79e905 Format : application/pdf Title : Contents Description : Creator : Faisal Habib Producer : Adobe PDF Library 15.0 Keywords : Page Layout : OneColumn Page Count : 6EXIF Metadata provided by EXIF.tools