Contents Singapore CP65 99 WALL 002
User Manual: Singapore CP65-99 WALL-002
Open the PDF directly: View PDF 
.
Page Count: 4
| Download | |
| Open PDF In Browser | View PDF |
Software Verification PROGRAM NAME: ETABS REVISION NO.: 0 EXAMPLE Singapore CP65-99 Wall-002 P-M INTERACTION CHECK FOR A WALL EXAMPLE DESCRIPTION The Demand/Capacity ratio for a given axial load and moment are tested in this example. A reinforced concrete wall is subjected to a factored axial load Pu = 8368 kN and moments Muy = 11967 kN-m. This wall is reinforced as noted below. The design capacity ratio is checked by hand calculations and the results are compared with ETABS program results. GEOMETRY, PROPERTIES AND LOADING EXAMPLE Singapore CP65-99 Wall-002 - 1 Software Verification PROGRAM NAME: ETABS REVISION NO.: Material Properties E= ν= 25000 MPa 0.2 0 Design Properties Section Properties tb = 200 mm H = 2500 mm d= 2400 mm s= 460 mm As1= As5 = 4-35M+2-20M (4600 mm^2) As2, As3, As4, As5 = 2-20M (600 mm^2) f ′c = 30 MPa fy = 460 MPa TECHNICAL FEATURES OF ETABS TESTED Concrete wall flexural demand/capacity ratio RESULTS COMPARISON Independent results are hand calculated and compared with ETABS design check. Output Parameter ETABS Independent Percent Difference Wall Demand/Capacity Ratio 1.001 1.00 0.10% COMPUTER FILE: SINGAPORE CP65-99 WALL-002 CONCLUSION The ETABS results show an acceptable comparison with the independent results. EXAMPLE Singapore CP65-99 Wall-002 - 2 Software Verification PROGRAM NAME: ETABS REVISION NO.: 0 HAND CALCULATION Wall Strength Determined as follows: 1) A value of e = 1430 mm was determined using e = M u / Pu where M u and Pu were taken from the ETABS test model PMM interaction diagram for pier P1. Values for M u and Pu were taken near the balanced condition and large enough to produce a flexural D/C ratio very close to or equal to one. The depth to the neutral axis, c, was determined by iteration using an excel spreadsheet so that equations 1 and 2 below were equal. 2) From the equation of equilibrium: Pn = Cc + Cs − T where Cc =Ccw +Ccf , where Ccw and Ccf are the area of the concrete web and flange in compression 0.67 = Ccw fcu • 200 • ( a − 200 ) γm 0.67 Ccf = f cu ( 200•2500 ) γm As′1 0.67 As′2 0.67 As′3 0.67 fc′ + fc′ + fc′ fs1 − fs 2 − fs 3 − γs γm γm γm γs γs A A A T = s 4 fs 4 + s 5 fs 5 + s 6 fs 6 γs γs γs Cs = = Pn1 A′ 0.67 0.67 0.67 fcu • 200 • ( a - 200 ) + fcu ( 200 • 2500 ) + s1 fs1 − fc′ + γm γm γs γm (Eqn. 1) As′2 As 5 As 6 0.67 As′3 0.67 As 4 fc′ + fc′ − fs 4 + fs 5 + fs 6 fs 2 − fs 3 − γs γm γm γs γs γs γs 3) Taking moments about As6: a −tf − t f + Cs1 ( d − d ′ ) + Cs 2 ( 4 s ) + 1 Ccf ( d − d ′ ) + Ccw d − 2 Pn 2 = e′ Cs 3 ( 3s ) − Ts 4 ( 2 s ) − Ts 5 ( s ) (Eqn. 2) EXAMPLE Singapore CP65-99 Wall-002 - 3 Software Verification PROGRAM NAME: ETABS REVISION NO.: 0 As1 Asn Asn 0.67 0.67 0.67 f c′= f c′= f c′ f s1 − ; Csn f sn − ; Tsn f sn − γs γm γs γm γs γm and the bar strains and stresses are determined below. = Cs1 where The plastic centroid is at the center of the section and d ′′ = 1150 mm e′ =e + d ′′ =1430 + 1150 =2580 mm. 4) Using c = 1160 mm (from iteration), a= β1c = 0.9 •1160 = 1044 mm 5) Assuming the extreme fiber strain equals 0.0035 and c= 1160 mm, the steel stresses and strains can be calculated. When the bar strain exceeds the yield strain then, fs = f y : c − d′ = 0.00320; f s = ε s E ≤ Fy ; ε s1 = 0.0035 c c−s−d = 0.00181 εs 2 = 0.0035 c c − 2s − d ′ εs3 = 0.0035 = 0.00042 c d − c − 2s = 0.00097 = εs 4 εs6 d −c d −c−s = 0.00235 = εs5 εs6 d −c d −c = 0.00374 εs6 = 0.0035 c f s1 = 460 MPa f s 2 = 362.0 MPa f s 3 = 84.4 MPa f s 4 = 193.2 MPa f s 5 = 460.00 MPa f s 6 = 460.00 MPa Substituting in Eqn. 1 and 2 and iterating the value of the neutral axis depth until the two equations are equal give Pn1 = 8368 kN Pn2 = 8368 kN M= P= 8368(1430) /1000 = 11,967 kN-m n ne EXAMPLE Singapore CP65-99 Wall-002 - 4
Source Exif Data:
File Type : PDF File Type Extension : pdf MIME Type : application/pdf PDF Version : 1.5 Linearized : Yes Author : Steve Pyle Comments : Company : Create Date : 2016:01:25 07:22:09-08:00 MT Win Eqns : 1 Modify Date : 2016:01:25 07:22:10-08:00 Source Modified : D:20150203032519 Subject : Language : EN-US Tagged PDF : Yes XMP Toolkit : Adobe XMP Core 5.4-c005 78.147326, 2012/08/23-13:03:03 Metadata Date : 2016:01:25 07:22:10-08:00 Creator Tool : Acrobat PDFMaker 11 for Word Document ID : uuid:fd632e64-2888-4d71-a5e2-52c01e057ed6 Instance ID : uuid:b1e7a4c0-0bac-41f1-88bf-a018160d4455 Format : application/pdf Title : Contents Description : Creator : Steve Pyle Producer : Adobe PDF Library 11.0 Keywords : Page Layout : OneColumn Page Count : 4EXIF Metadata provided by EXIF.tools