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Wall Pier

This document provides a summary of the design of a concrete column based on ACI 318-02 code specifications. It includes the input data, design parameters, analysis, reinforcement details, stress-strain computations, and checks for axial, flexural and shear capacity. The column dimensions, material strengths, loads, reinforcement sizes and design checks are presented. An iterative approach is used to determine the neutral axis location under the maximum combined loading condition.

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0% found this document useful (0 votes)

121 views40 pages

Wall Pier

Uploaded by

Livian Teddy

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Available Formats

Download as XLS, PDF, TXT or read online on Scribd

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PROJECT : CLIENT : JOB NO.

: Wall Pier Design Based on CBC 2001 / IBC 2003 / IBC 2006 INPUT DATA & DESIGN SUMMARY CONCRETE STRENGTH fc ' = REBAR YIELD STRESS fy = WALL PIER LENGTH L = WALL PIER HEIGHT H = WALL PIER THICKNESS t = 3 60 5 12 10 ksi ksi ft ft in 9

DATE :

PAGE : DESIGN BY : REVIEW BY :

VERTICAL EDGE BARS, As 2 #

TRANSVERSE REINFORCEMENT, Av 2 # 4 FACTORED AXIAL LOAD Pu = FACTORED SHEAR FORCE Vu =

THE DESIGN IS ADEQUATE.

@ 60 60 6 kips kips, (in plane) in, o.c. (at each face.)

ANALYSIS CHECK WALL PIER DEFINITION (CBC 2001 1902A / IBC 2003 1908.1.4 / IBC 2006 1908.1.8) L/t= 6.00 within [2.5 , 6] & H/L= 2.40 >

2 [Satisfactory]

CHECK SHEAR STRENGTH (SEC 1921.6.13.2, 1921.4.51, & 1921.3.4.2 / IBC 2003 1908.1.4 / IBC 2006 1908.1.11) Ve = (Mpr, left, top + Mpr, right,bot) / H + Vu = 175.1 kips

< <
where d= 58.19 0.003 in

8f(fc')0.5bd = f[Vc + Avfyd/s ] =

216.7 197.8

kips kips

[Satisfactory] [Satisfactory] [Satisfactory]

rleft = rright =

f =

rmin=MIN[3(fc')0.5/fy, 200/fy ]= 0.003 0.003 rmin = 0.003 [Satisfactory] Mpr, left, top = rleft bd2fy (1.25 - 0.919rleft fy/fc') = 691 ft-kips Mpr, right ,bot = rright bd2fy (1.25 - 0.919rright fy/fc') = 691 ft-kips > >
0.85 0.4 Av = (Sec 1909.3.2.3) in2 0.0

Vc = 2(fc')0.5bd =

kips, (Per Sec 1921.3.4.2, Vc = 0, if (Ve -Vu) 50% Ve AND Pu < Ag fc' / 20 )

Daniel Tian Li

PROJECT : CLIENT : JOB NO. :

DATE :

PAGE : DESIGN BY : REVIEW BY :

Concrete Column Design Based on ACI 318-02

INPUT DATA & DESIGN SUMMARY
CONCRETE STRENGTH REBAR YIELD STRESS COLUMN DIMENSUINS FACTORED AXIAL LOAD FACTORED MOMENT LOAD FACTORED SHEAR LOAD COLUMN VERT. REINF. SHEAR REINF. ### 2 legs,# legs,# fc' fy cx cy Pu Mu,x Mu,y
Vu,x Vu,y

= = = = = = = =

#REF! #REF! #REF! #REF! #REF! #REF! 0.0001 0

ksi ksi in in k ft-k ft-k k

#### #### #### ####

= 0 k # #REF! at x dir. #REF! # #REF! at y dir. @ 4 in o.c., x dir. @ 4 in o.c., y dir.

#REF!
2 0.85 f Ec
' C

ANALYSIS
1 1 1 1

e o ===

' C

, Ec

f
2

' C

, Es ,

29000ksi

f Pn (k)

1 1 0 0 0 0 0 0 0 0 1 1 1

, for ee c o , for sE s s y eee fS= > y f y , for ee s f Pn (kips) AT AXIAL LOAD ONLY #REF! AT MAXIMUM LOAD #REF! AT 0 % TENSION #REF! AT 25 % TENSION #REF! AT 50 % TENSION #REF!
' C

0.85 f = 0.85 f

e ec 2 c -<< e e o o

for 0

ee c

f Mn (ft-kips) 0 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

AT e t = 0.002 AT BALANCED CONDITION AT e t = 0.005 AT FLEXURE ONLY

#REF! #REF! #REF! 0

f Mn (ft-k)

CHECK FLEXURAL & AXIAL CAPACITY

Mu = ( Mu,x2 + Mu,y2 )0.5 =

where f = a = Cbb 1 = 0.65

#REF!

ft-k, (combined bending load.)

q =

#REF!

, (the direction of combined load.) #### Pu

####

f Pmax =0.80 f [ 0.85 fc' (Ag - Ast) + fy Ast] =

#REF! kips., (at max axial load, ACI 318-02, Sec. 10.3.6.2) Ast =
2 #REF! in .

(ACI 318-02, Sec.9.3.2.2) 2 Ag = #REF! in .

### in (at balanced strain condition, ACI 10.3.2) 0.652 (ACI 318-02, Fig. R9.3.2) #REF! in Cb = d ec / (ec + es) = d = #REF! in, (ACI 7.7.1)

f = 0.48 + 83 et = where

et =
b1 =

0.002069

ec =

0.003

#REF! ( ACI 318-02, Sec. 10.2.7.3 )

f Mn = 0.9 Mn = #REF! f Mn =
rmax rmin #REF! = = 0.08 0.01

ft-kips @ Pn = 0, (ACI 318-02, Sec. 9.3.2) ft-kips @ Pu = #REF! kips rprovd =

#REF! Mu
#REF! #REF!

####

(ACI 318-02, Section 10.9) (ACI 318-02, Section 10.9)

CHECK SHEAR CAPACITY (ACI 318-02 Sec. 11.1.1, 11.3.1, & 11.5.6.2)

f Vn = f (Vs + Vc) #REF! Vu

where f = x y smax smin = = 0.75 d #REF! #REF! A0 #### ####

(ACI 318-02 Sec. 11.1.1) #REF! fy = 2 (fc')0.5A0 #REF! #REF! sprovd = #REF! ksi f Vn #REF! #REF! (ACI 318-02 Sec. 9.3.2.3) Av #REF! #REF! Vc =

Vs = MIN (d fy Av / s , 4Vc) #REF! #REF! 4 in #REF!

#REF! (ACI 318-02, Section 10.16.8.5) 1 (ACI 318-02, Section 7.10.4.3)

REINFORCEMENT SIZE DIAM. AREA # 0 #REF! 3 0.38 0.11 4 0.50 0.20 5 0.63 0.31 6 0.75 0.44 7 8 9 10 11 14 18 0.88 1.00 1.13 1.27 1.41 1.69 2.26 0.60 0.79 1.00 1.27 1.56 2.25 4.00

Mu,x Mu,y

= =

#REF! ft-k 0.00011 ft-k

STRESS STRAIN COMPUTATION AT MAXIMUM LOAD 1ST ESTIMATE Axial load Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! Ec = thick dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! fPn / f = c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = = #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! k in in in in arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! qcritial = dx = dy = sx = sy = Asx = Asx = cx = cy = #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! in2 / in in2 / in

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

1 #REF! 2 #REF! 3 #REF! 4 #REF! 5 #REF! 6 #REF! 7 #REF! 8 #REF! 9 #REF! 10 #REF! S #REF! 3RD ITERATION Axial load

fPn / f = c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = =

#REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

k in in in in arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Distance to neytral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

9 10 11 12 CONC S conc sec

#REF! #REF! #REF! #REF!

Ec = thick

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

1 #REF! 2 #REF! 3 #REF! 4 #REF! 5 #REF! 6 #REF! 7 #REF! 8 #REF! 9 #REF! 10 #REF! S #REF! 5TH ITERATION Axial load

fPn / f = c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = =

#REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

k in in in in arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

1 #REF! 2 #REF! 3 #REF! 4 #REF! 5 #REF! 6 #REF! 7 #REF! 8 #REF! 9 #REF! 10 #REF! S #REF! 7TH ITERATION Axial load

fPn / f = c b a d D q stress #REF! #REF! #REF! #REF! #REF! = = = = = =

#REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF!

k in in in in arm #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF!

Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 A 0.00 #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF!

6 7 8 9 10 11 12 CONC S conc sec 1 2 3 4 5 6 7 8 9 10 S

#REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

STRESS-STRAIN COMPUTATIONS AT POINT OF 0% TENSION Stress at last row of bars fs = 0 Distance to neutral axis c = #REF! Beta factor b = #REF! Compression block a = #REF! E= 29000 ksi d = #REF! fy = #REF! ksi D = #REF! fc' = #REF! ksi q = #REF! STA 1 2 A 0.00 #REF! dist to end #REF! #REF! strain #REF! #REF! stress #REF! #REF! force #REF! #REF!

ksi in in in in arm #REF! #REF! moment #REF! #REF!

3 4 5 6 7 8 9 10 11 12 CONC S conc sec

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick

#REF! to end

ksi b

control

eo = DA

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

1 #REF! #REF! #REF! 0.00 #REF! #REF! 2 #REF! #REF! #REF! #REF! #REF! #REF! 3 #REF! #REF! #REF! #REF! #REF! #REF! 4 #REF! #REF! #REF! #REF! #REF! #REF! 5 #REF! #REF! #REF! #REF! #REF! 6 #REF! #REF! #REF! #REF! #REF! 7 #REF! #REF! #REF! #REF! #REF! 8 #REF! #REF! #REF! #REF! #REF! 9 #REF! #REF! #REF! #REF! #REF! 10 #REF! #REF! #REF! #REF! #REF! S #REF! #REF! STRESS-STRAIN COMPUTATIONS AT POINT OF 50% TENSION Stress at last row of bars Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! fs c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = = = #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec

ksi in in in in arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick

#REF! to end

ksi b

control

eo = DA

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi in in in in arm moment

ksi ksi ksi strain

1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec 1 2 3 4 5 6 7 8 9 10 S

0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

STRESS-STRAIN COMPUTATIONS AT Pu = 0.1 * f'c * Ag 1ST ESTIMATE Axial load Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec 1 2 3 4 5 6 7 8 9 10 S A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! Pn c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = = = #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! k in in in in arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

< = = Not used

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

3RD ITERATION Axial load

Pu =

#REF!

Distance to neytral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

= = = = = =

#REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

in in in in arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick

#REF! to end

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = = =

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

1 #REF! #REF! 2 #REF! #REF! 3 #REF! #REF! 4 #REF! #REF! 5 #REF! #REF! 6 #REF! #REF! 7 #REF! #REF! 8 #REF! #REF! 9 #REF! #REF! 10 #REF! #REF! S #REF! 5TH ITERATION Axial load Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec 1 2 3 4 5 6 7 8 9 10 A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Pu c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

k in in in in arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF!

7TH ITERATION Axial load Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec 1 2 3 4 5 6 7 8 9 10 S A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Pu c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

= = = = = = =

Ec = thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

STRESS STRAIN COMPUTATION AT PURE MOMENT CONDITION 1ST ESTIMATE Axial load Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec 1 2 3 4 A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! Pu c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = = = 0 #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! k in in in in arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! case 1 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 2 to end b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF!

5 #REF! #REF! 6 #REF! #REF! 7 #REF! #REF! 8 #REF! #REF! 9 #REF! #REF! 10 #REF! #REF! S #REF! 3RD ITERATION Axial load Distance to neytral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! Pu c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = = =

#REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

0 #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick

#REF! to end

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = = =

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

1 #REF! #REF! 2 #REF! #REF! 3 #REF! #REF! 4 #REF! #REF! 5 #REF! #REF! 6 #REF! #REF! 7 #REF! #REF! 8 #REF! #REF! 9 #REF! #REF! 10 #REF! #REF! S #REF! 5TH ITERATION Axial load Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec 1 A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Pu c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

0 #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF!

Ec = thick #REF!

#REF! to end #REF!

ksi b #REF!

control 0.00

eo = DA #REF!

fc #REF!

2 #REF! #REF! 3 #REF! #REF! 4 #REF! #REF! 5 #REF! #REF! 6 #REF! #REF! 7 #REF! #REF! 8 #REF! #REF! 9 #REF! #REF! 10 #REF! #REF! S #REF! 7TH ITERATION Axial load Distance to neutral axis Beta factor Compression block E= 29000 fy = #REF! fc' = #REF! STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S conc sec 1 2 3 4 5 6 7 8 9 10 S A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! = = = = = = =

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Pu c b a d D q stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

0 #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

STRESS STRAIN COMPUTATION AT MAXIMUM LOAD 1ST ESTIMATE Axial load Distance to neutral axis Beta factor Compression block E= fy = fc' = STA 1 2 3 4 5 6 7 8 9 10 A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! 29000 #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! ksi ksi ksi strain Pu = c = b = a = d = D = q = stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! force arm moment in in in k in

11 12 CONC S

#REF! #REF!

#REF! #REF! #REF! #REF!

#REF! #REF!

#REF! #REF! #REF! #REF! case 1 case 2 b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = conc sec 1 2 3 4 5 6 7 8 9 10 S Axial load Distance to neytral axis Beta factor Compression block E= fy = fc' = STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S Ec = conc sec 1 2 3 4 5 6 7 8 9 10 S Axial load Distance to neutral axis Beta factor Compression block E= fy = fc' = STA 1 2 A 0.00 #REF! thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! Pu = c = b = a =

#REF! ec #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! fc #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! force #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! in in in k in arm #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! moment #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

3RD ITERATION

29000 #REF! #REF! dist to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi ksi ksi strain #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

d = D = q = stress #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! Pu = c = b = a =

case 1 to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

case 2 to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

5TH ITERATION

29000 #REF! #REF! dist to end #REF! #REF!

ksi ksi ksi strain #REF! #REF!

d = D = q = stress #REF! #REF!

3 4 5 6 7 8 9 10 11 12 CONC S

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! case 1 case 2 b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

Ec = conc sec 1 2 3 4 5 6 7 8 9 10 S Axial load Distance to neutral axis Beta factor Compression block E= fy = fc' = STA 1 2 3 4 5 6 7 8 9 10 11 12 CONC S Ec = conc sec 1 2 3 4 5 6 7 8 9 10 S thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! A 0.00 #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! thick #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

#REF! to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

ksi b #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! control 0.00 #REF! #REF! #REF!

eo = DA #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! Pu = c = b = a =

to end #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF! #REF!

7TH ITERATION