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"RECTBEAM" --- RECTANGULAR CONCRETE BEAM ANALYSIS/DESIGN

Program Description:

"RECTBEAM" is a spreadsheet program written in MS-Excel for the purpose of analysis/design of rectangular

beam or column sections. Specifically, the ultimate moment capacity, bar spacing for crack control, moments

of inertia for deflection, beam shear and torsion requirements, and member capacity for flexure (uniaxial andbiaxial) with axial load are calculated. There is also a worksheet which contains reinforcing bar data tables.

This version is based on the ACI 318-05 Code.

This program is a workbook consisting of ten (10) worksheets, described as follows:

Worksheet Name Description

Doc This documentation sheet

Complete Analysis Beam flexure, shear, crack control, and inertia

Flexure Ultimate moment capacity of singly or doubly reinforced beams/sections

Crack Control Crack control - distribution of flexural reinforcing

Shear Beam or one-way type shear

Torsion Beam torsion and shear

Inertia Moments of inertia of singly or doubly reinforced beams/sections

Uniaxial Combined uniaxial flexure and axial load

Biaxial Combined biaxial flexure and axial load

Rebar Data Reinforcing bar data tables

Program Assumptions and Limitations:

1. This program follows the procedures and guidelines of the ACI 318-05 Building Code.

2. This program utilizes the following references:

a. "Design of Reinforced Concrete - ACI318-05 Code Edition", by Jack C. McCormac (7th Ed.)

b. "Notes of the ACI318-05 Building Code Requirements for Structural Concrete", by PCA

3. The "Complete Analysis" worksheet combines the analyses performed by four (4) of the individual

worksheets all into one. This includes member flexural moment capacity, as well as shear, crack control,

and inertia calculations. Thus, any items below pertaining to any of the similar individual worksheets

included in this one are also applicable here.

4. In the "Flexure", "Uniaxial", and "Biaxial" worksheets, when the calculated distance to the neutral axis, 'c',

is less than the distance to the reinforcement nearest the compression face, the program will ignore that

reinforcing and calculate the ultimate moment capacity based on an assumed singly-reinforced section.

5. In the "Uniaxial" and "Biaxial" worksheets, the CRSI "Universal Column Formulas" are used by this program

to determine Points #1 through #7 of the 10 point interaction curve. For the most part, these formulas yield

close, yet approximate results. However, these results should be accurate enough for most applications

and situations.

6. To account for the fact that the CRSI "Universal Column Formulas" originally utilized f =0.70 for compression,

which was applicable up through the ACI 318-99 Code, they have been factored by (0.65/0.70) to account for

the reduction in the factorf = 0.65 for compression beginning with ACI 318-02 Code and continuing with the

ACI 318-05 Code. This modification has been made to the equations applicable to Points #1 through #7.

7. In the "Uniaxial" and "Biaxial" worksheets, the CRSI "Universal Column Formulas", which are used by this

program, assume the use of the reinforcing yield strength, fy =60 ksi.

8. In the "Uniaxial" and "Biaxial" worksheets, this program assumes a "short", non-slender rectangular column

with symmetrically arranged and sized bars.

9. In the "Uniaxial" and "Biaxial" worksheets, for cases with axial load only (compression or tension) and no

moment(s) the program calculates total reinforcing area as follows:

Ast = (Ntb*Abt) + (Nsb*Abs) , where: Abt and Abs = area of one top/bottom and side bar respectively.

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10. In the "Uniaxial" and "Biaxial" worksheets, for pure moment capacity with no axial load, the program assumes

bars in 2 outside faces parallel to axis of bending plus 50% of the total area of the side bars divided equally

by and added to the 2 outside faces, and program calculates reinforcing areas as follows:

for X-axis: As = A's = ((Ntb*Abt) + (0.50*Nsb*Abs))/2

for Y-axis: As = A's = ((Nsb*Asb+4*Atb) + (0.50*(Ntb-4)*Atb))/2

11. In the "Uniaxial" and "Biaxial" worksheets, for Point #8 (fPn = 0.1*f'c*Ag) on the interaction curve the

corresponding value offMn is determined from interpolation between the moment values at Point #7(balanced condition, f = 0.65) and Point #9 (pure flexure, f = 0.005 ("tension-controlled" section): f = 0.90.

b. For fy/Es < et < 0.005 ("transition" section): f = 0.65+0.25*(et-fy/Es)/(0.005-fy/Es) < 0.90 (Es=29000 ksi)

c. Foret = 0.004 for both singly and

doubly reinforced sections.

13. In the "Uniaxial" and "Biaxial" worksheets, design capacities, fPn and fMn, at design eccentricity,

e = Mu*12/Pu, are determined from interpolation within the interaction curve for the applicable axis.

14. In the "Biaxial" worksheet, the biaxial capacity is determined by the following approximations:

a. For Pu >= 0.1*f'c*Ag, use Bresler Reciprocal Load equation:1/fPn = 1/fPnx + 1/fPny - 1/fPo

Biaxial interaction stress ratio, S.R. = Pu/fPn

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"RECTBEAM (318-05).xls" Program

Version 1.2

RECTANGULAR CONCRETE BEAM/SECTION ANALYSISFlexure, Shear, Crack Control, and Inertia for Singly or Doubly Reinforced Sections

Per ACI 318-05 Code

Job Name: Subject:

Job Number: Originator: Checker:

Input Data: b=12''

Beam or Slab Section? Beam

Exterior or Interior Exposure? Exterior

Reinforcing Yield Strength, fy = 60 ksi

Concrete Comp. Strength, f 'c = 4 ksi h=18'' d=15''

Beam Width, b = 12.000 in.

Depth to Tension Reinforcing, d = 15.000 in.

Total Beam Depth, h = 18.000 in. As=3

Tension Reinforcing, As = 3.000 in.^2 Singly Reinforced Section

No. of Tension Bars in Beam, Nb = 4.000

Tension Reinf. Bar Spacing, s1 = 3.000 in. d' b

Clear Cover to Tension Reinf., Cc = 2.000 in.

Depth to Compression Reinf., d' = 0.000 in. A's

Compression Reinforcing, A's = 0.000 in.^2 Working Stress Moment, Ma = 120.00 ft-kips h d

Ultimate Design Moment, Mu = 170.00 ft-kips

Ultimate Design Shear, Vu = 20.00 kips

Total Stirrup Area, Av(stirrup) = 0.220 in.^2 As

Tie/Stirrup Spacing, s2 = 6.0000 in. Doubly Reinforced Section

Results:

Moment Capacity Check for Beam-Type Section: Crack Control (Distribution of Reinf.):

b1 = 0.85 Per ACI 318-05 Code:

c = 5.190 in. Es = 29000 ksi

a = 4.412 in. Ec = 3605 ksi

rb = 0.02851 n = 8.04

r = 0.01667 fs = 36.93 ksi

r(min) = 0.00333 fs(used) = 36.93 ksi

As(min) = 0.600 in.^2 = s1 = 3 in., O.K.

r(temp) = N.A. (total for section)

As(temp) = N.A. in.^2 (total) Per ACI 318-95 Code (for reference only):

r(max) = 0.02064 dc = 3.0000 in.

As(max) = 3.716 in.^2 >= As = 3 in.^2, O.K. z = 139.61 k/in.

e's = N.A. z(allow) = 145.00 k/in. >= z = 139.61 k/in.,

f 's = N.A. ksi O.K.

et = 0.00567 >= 0.005, Tension-controlled

f = 0.900

fMn = 172.72 ft-k >= Mu = 170 ft-k, O.K.

Shear Capacity Check for Beam-Type Section: Moment of Inertia for Deflection:fVc = 17.08 kips fr = 0.474 ksi

fVs = 24.75 kips kd = 6.0125 in.

fVn = 41.83 kips >= Vu = 20 kips, O.K. Ig = 5832.00 in.^4

fVs(max) = 68.31 kips >= Vu-(phi)Vc = 2.92 kips, O.K. Mcr = 25.61 ft-k

Av(prov) = 0.220 in.^2 = Av(stirrup) Icr = 2818.77 in.^4

Av(req'd) = 0.026 in.^2

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Version 1.2

RECTANGULAR CONCRETE BEAM/SECTION ANALYSISUltimate Moment Capacity of Singly or Doubly Reinforced Sections

Per ACI 318-05 Code

Job Name: Subject:


Input Data: b=12''



Concrete Comp. Strength, f 'c = 4 ksi h=18'' d=15''



Total Beam Depth, h = 18.000 in. As=3

Ultimate Design Moment, Mu = 170.00 ft-kips Singly Reinforced Section

Tension Reinforcing, As = 3.000 in.^2

Depth to Compression Reinf., d' = 0.000 in. d' b

Compression Reinforcing, A's = 0.000 in.^2

A's

Results: h d

Stress Block Data:

As

b1 = 0.85 b1 = 1.05-0.05*f'c >= 0.65 Doubly Reinforced Section

c = 5.190 in. c = (As*fy/(0.85*f'c*b))/Beta1

a = 4.412 in. a = b1*c

Reinforcing Criteria:

r = 0.01667 r = As/(b*d)

rb = 0.02851 rb = 0.85*b1*f'c/fy*(87/(87+fy)r(min) = 0.00333 r(min) >= 3*SQRT(f'c)/fy >= 200/fy

As(min) = 0.600 As(min) = r(min)*b*d = 60, else 0.002-0.00002*(fy-50)

As(temp) = N.A. in.^2 (total) As(temp) = r(temp)*b*h

r(max) = 0.02064 r(max) = 0.85*f'c*Beta1*(0.003/(0.003+0.004))/fy

As(max) = 3.716 in.^2 As(max) = r(max)*b*d for singly reinforced, or for doubly reinforced:

As(max) = (0.85*f'c*b1*c*b+A's*(c-d')/c*ec*Es)/fy for c = ec*d/(ec+0.004)

Ultimate Moment Capacity: >= As = 3 in.^2, O.K.

e's = N.A. e's = ec*(c-d')/c

f 's = N.A. ksi f 's = e's*Es

et = 0.00567 et = ec*(d-c)/c >= 0.005, Tension-controlled

f = 0.900 f = 0.65+0.25*(et-fy/Es)/(0.005-fy/Es)

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Version 1.2

RECTANGULAR CONCRETE BEAM/SECTION ANALYSISBeam or One-Way Type Shear

Per ACI 318-05 Code

Job Name: Subject:


Input Data:



Concrete Comp. Strength, f 'c = 4 ksi.



Total Beam Depth, h = 16.000 in. d Vu Vu d d Vu

Ultimate Design Shear, Vu = 20.00 kips

Ultimate Design Axial Load, Pu = 0.00 kips

Total Stirrup Area, Av(used) = 0.220 in.^2

Tie/Stirrup Spacing, s = 6.0000 in.

Vu

d

Results: Vu

Typical Critical Sections for Shear

For Beam:

fVc = 12.81 kips

fVs = 22.28 kipsfVn = fVc+fVs = 35.08 kips >= Vu = 20 kips, O.K.

fVs(max) = 51.23 kips >= Vu-(phi)Vc = 7.19 kips, O.K.

Av(prov) = 0.220 in.^2 = Av(used)

Av(req'd) = 0.071 in.^2

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Version 1.2

RECTANGULAR CONCRETE BEAM/SECTION ANALYSISCrack Control - Distribution of Flexural Reinforcing

Per ACI 318-05 Code

Job Name: Subject:


Input Data:

Beam or Slab Section? Beam b=10''

Exterior or Interior Exposure? Exterior


Concrete Comp. Strength, f 'c = 4 ksi

Beam Width, b = 10.000 in. h=16'' d=13.5''


Total Beam Depth, h = 16.000 in. 2*dc

Tension Reinforcing, As = 2.400 in.^2 As=2.4

No. of Tension Bars in Beam, Nb = 4.000 dc=2.5''

Tension Reinf. Bar Spacing, s = 3.000 in. Beam

Clear Cover to Tension Reinf., Cc = 2.000 in.

Working Stress Moment, Ma = 75.00 ft-kips b

h d

2*dc

As

dc

One-Way Slab

Results:

Per ACI 318-05 Code:

Es = 29000 ksi Es = modulus of elasticity for steel

Ec = 3605 ksi Ec = 57*SQRT(f'c*1000)

n = 8.04 n = Es/Ec

fs = 32.18 ksi fs = 12*Ma/(As*d*(1-(SQRT(2*As/(b*d)*n+(As/(b*d)*n)^2)-As/(b*d)*n)/3))

fs(used) = 32.18 ksi fs(used) = minimum of: fs and 2/3*fy

s(max) = 13.64 in. s(max) = minimum of: 15*40/fs(used)-2.5*Cc and 12*40/fs(used)

>= s = 3 in., O.K.

Per ACI 318-95 Code: (for reference only)

dc = 2.5000 in. dc = h-d

z = 101.37 k/in. z = fs(used)*(dc*2*dc*b/Nb)^(1/3)

z(allow) = 145.00 z(allow) >= z = 101.37 k/in., O.K.

Note: The above calculation of the 'z' factor is done solely for comparison purposes to ACI 318-05 Code.

Comments:

6 of 15 4/2/2013 3:05 AM

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Version 1.2

RECTANGULAR CONCRETE BEAM/SECTION ANALYSISMoment of Inertia of Singly or Doubly Reinforced Sections

Per ACI 318-05 Code

Job Name: Subject:


Input Data:

Reinforcing Yield Strength, fy = 60 ksi b=10''


Beam/Section Width, b = 10.000 in.


Beam/Section Total Depth, h = 16.000 in. h=16'' d=13.5''

Tension Reinforcing, As = 2.400 in.^2

Depth to Compression Reinf., d' = 0.000 in.

Compression Reinforcing, A's = 0.000 in.^2 As=2.4

Working Stress Moment, Ma = 75.00 ft-kips Singly Reinforced Section

d' b

A's

h d

As

Doubly Reinforced Section

Results:

fr = 0.474 ksi fr = 7.5*SQRT(f'c*1000)/1000Es = 29000 ksi Es = modulus of elasticity for steel

Ec = 3605 ksi Ec = 57*SQRT(f'c*1000)

n = 8.04 n = Es/Ec

r = N.A. r = (n-1)*A's/(n*As)

B = 0.5180 B = b/(n*As)

kd = 5.5430 in. kd = (SQRT(2*d*B+1)-1)/B

Ig = 3413.33 in.^4 Ig = b*h^3/12

Mcr = 16.87 ft-k Mcr = fr*Ig/(h/2)/12

Icr = 1790.06 in.^4 Icr = b*kd^3/3+n*As*(d-kd) 2

Ig/Icr = 1.907 Ig/Icr = ratio of gross to cracked inertiasIe = 1808.52 in.^4 Ie = (Mcr/Ma)^3*Ig+(1-(Mcr/Ma)^3)*Icr

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Version 1.2

RECTANGULAR CONCRETE BEAM/SECTION ANALYSISBeam Torsion and Shear

Per ACI 318-05 Code

Job Name: Subject:


Input Data:

Reinforcing Yield Strength, fy = 60 ksi b=16''

Concrete Comp. Strength, f 'c = 4 ksi xo=12.5''



Total Beam Depth, h = 26.000 in. Al

Ultimate Design Shear, Vu = 60.00 kips h = yo At d=23.5''

Ultimate Design Torsion, Tu = 30.00 ft-kips 26''

Ultimate Design Axial Load, Pu = 0.00 kips

Total Stirrup Area, Av+t(used) = 0.400 in.^2

Closed Stirrup Spacing, s = 7.0000 in. As dt=1.75''

Edge Distance to Tie/Stirrup, dt = 1.7500 in.

Beam Section

Results:

For Shear:

fVc = 35.67 kipsfVs = 60.43 kips

fVn = fVc+fVs = 96.10 kips >= Vu = 60 kips, O.K.fVs(max) = 142.68 kips >= Vu-(phi)Vc = 24.33 kips, O.K.

Av(prov) = 0.400 in.^2 = Av+t(used)

Av(req'd) = 0.161 in.^2 = Tu = 30 kips, O.K.

At(prov) = 0.119 in.^2 = (Av+t(used)-Av(req'd))/2

At(req'd) = 0.117 in.^2

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Version 1.2

RECTANGULAR CONCRETE BEAM/COLUMN ANALYSISFor X-Axis Flexure with Axial Compression or Tension Load

Assuming "Short", Non-Slender Member with Symmetric Reinforcing (per ACI 318-05 Code)

Job Name: Subject:


Input Data:Lx=18

Reinforcing Yield Strength, fy = 60 ksi.


Total Member Width, Lx = 18.000 in.

Total Member Depth, Ly = 18.000 in.

Distance to Long. Reinforcing, d' = 2.500 in. Ly=18 Ntb=8

Ultimate Design Axial Load, Pu = 200.00 kips Nsb=0

Ultimate Design Moment, Mux = 100.00 ft-kips

Total Top/Bot. Long. Bars, Ntb = 8

Top/Bot. Longitudinal Bar Size = 8 d'=2.5 (typ.)

Total Side Long. Bars, Nsb = 0 Member Section

Side Longitudinal Bar Size = 8

Results:

X-axis Flexure and Axial Load Interaction Diagram Points

Location fPnx (k) fMnx (ft-k) ey (in.) Comments

Point #1 948.55 0.00 0.00 Nom. max. compression = fPo

Point #2 758.84 0.00 0.00 Allowable fPn(max) = 0.8*fPo

Point #3 758.84 105.09 1.66 Min. eccentricity

Point #4 640.36 170.72 3.20 0% rebar tension = 0 ksi




Point #8 129.60 225.87 20.91 fPn = 0.1*f'c*Ag

Point #9 0.00 199.20 (Infinity) Pure moment capacityPoint #10 -341.28 0.00 0.00 Pure axial tension capacity

Gross Reinforcing Ratio Provided:

rg = 0.01951

Member Uniaxial Capacity at Design Eccentricity:

Interpolated Results from Above:

fPnx (k) fMnx (ft-k) ey (in.)

457.21 228.60 6.00

Effective Length Criteria for "Short" Column:

k*Lu

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RECTANGULAR CONCRETE BEAM/COLUMN ANALYSISFor Biaxial Flexure with Axial Compression or Tension Load

Assuming "Short", Non-Slender Member with Symmetric Reinforcing (per ACI 318-05 Code)

Job Name: Subject:


Input Data:Lx=18

Reinforcing Yield Strength, fy = 60 ksi.


Total Member Width, Lx = 18.000 in.

Total Member Depth, Ly = 18.000 in.

Distance to Long. Reinforcing, d' = 2.500 in. Ly=18 Ntb=8

Ultimate Design Axial Load, Pu = 200.00 kips Nsb=0

Ultimate Design Moment, Mux = 100.00 ft-kips

Ultimate Design Moment, Muy = 100.00 ft-kips

Total Top/Bot. Long. Bars, Ntb = 8 d'=2.5 (typ.)

Top/Bot. Longitudinal Bar Size = 8

Total Side Long. Bars, Nsb = 0 Member Section

Side Longitudinal Bar Size = 8

Results:

Gross reinforcing ratio provided:

rg = 0.01951

X-axis Flexure and Axial Load Interaction Diagram Points Y-axis Flexu

Location fPnx (k) fMnx (ft-k) ey (in.) Comments Location fPny (k)

Point #1 948.55 0.00 0.00 Nom. max. compression = fPo Point #1 948.55

Point #2 758.84 0.00 0.00 Allowable fPn(max) = 0.8*fPo Point #2 758.84

Point #3 758.84 105.09 1.66 Min. eccentricity Point #3 758.84

Point #4 640.36 170.72 3.20 0% rebar tension = 0 ksi Point #4 651.66




Point #8 129.60 225.87 20.91 fPn = 0.1*f'c*Ag Point #8 129.60

Point #9 0.00 199.20 (Infinity) Pure moment capacity Point #9 0.00

Point #10 -341.28 0.00 0.00 Pure axial tension capacity Point #10 -341.28

Member Uniaxial Capacity at Design Eccentricity, ey: Member Uniaxial Cap

Interpolated Results from Above: Interpolate

fPnx (k) fMnx (ft-k) ey (in.) fPny (k)

457.21 228.60 6.00 376.52

Biaxial Capacity and Stress Ratio for Pu >= 0.1*f'c*Ag: Effective Length Crite

fPn = 263.93 kips fPn = 1/(1/fPnx + 1/fPny -1/fPo)

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REINFORCING BAR DATA TABLES:

Reinforcing Bar Properties

Bar Size Diameter Area Perimeter Weight

(in.) (in.^2) (in.) (lbs./ft.)#3 0.375 0.11 1.178 0.376

#4 0.500 0.20 1.571 0.668

#5 0.625 0.31 1.963 1.043

#6 0.750 0.44 2.356 1.502

#7 0.875 0.60 2.749 2.044

#8 1.000 0.79 3.142 2.670

#9 1.128 1.00 3.544 3.400

#10 1.270 1.27 3.990 4.303

#11 1.410 1.56 4.430 5.313

#14 1.693 2.26 5.320 7.650

#18 2.257 4.00 7.091 13.600

Typical specification: ASTM A615 Grade 60 Deformed Bars

Reinforcing Bar Area for Various Bar Spacings (in.^2/ft.)

Spacing Bar Size

(in.) #3 #4 #5 #6 #7 #8 #9 #10 #11

3 0.44 0.80 1.24 1.76 2.40 3.16 4.00 5.08 6.24

3-1/2 0.38 0.69 1.06 1.51 2.06 2.71 3.43 4.35 5.35

4 0.33 0.60 0.93 1.32 1.80 2.37 3.00 3.81 4.68

4-1/2 0.29 0.53 0.83 1.17 1.60 2.11 2.67 3.39 4.16

5 0.26 0.48 0.74 1.06 1.44 1.90 2.40 3.05 3.74

5-1/2 0.24 0.44 0.68 0.96 1.31 1.72 2.18 2.77 3.40

6 0.22 0.40 0.62 0.88 1.20 1.58 2.00 2.54 3.12

6-1/2 0.20 0.37 0.57 0.81 1.11 1.46 1.85 2.34 2.887 0.19 0.34 0.53 0.75 1.03 1.35 1.71 2.18 2.67

7-1/2 0.18 0.32 0.50 0.70 0.96 1.26 1.60 2.03 2.50

8 0.17 0.30 0.47 0.66 0.90 1.19 1.50 1.91 2.34

8-1/2 0.16 0.28 0.44 0.62 0.85 1.12 1.41 1.79 2.20

9 0.15 0.27 0.41 0.59 0.80 1.05 1.33 1.69 2.08

9-1/2 0.14 0.25 0.39 0.56 0.76 1.00 1.26 1.60 1.97

10 0.13 0.24 0.37 0.53 0.72 0.95 1.20 1.52 1.87

10-1/2 0.13 0.23 0.35 0.50 0.69 0.90 1.14 1.45 1.78

11 0.12 0.22 0.34 0.48 0.65 0.86 1.09 1.39 1.70

11-1/2 0.115 0.21 0.32 0.46 0.63 0.82 1.04 1.33 1.63

12 0.11 0.20 0.31 0.44 0.60 0.79 1.00 1.27 1.56

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Tension Development and Splice Lengths for f 'c=3,000 psi and fy=60 ksi

Development Class "B" Splice Standard 90 deg. Hook

Bar Size Top Bar Other Bar Top Bar Other Bar Embed. Leg Length Bend Dia.

(in.) (in.) (in.) (in.) (in.) (in.) (in.)

#3 22 17 28 22 6 6 2-1/4

#4 29 22 37 29 8 8 3#5 36 28 47 36 10 10 3-3/4

#6 43 33 56 43 12 12 4-1/2

#7 63 48 81 63 14 14 5-1/4

#8 72 55 93 72 16 16 6

#9 81 62 105 81 18 19 9-1/2

#10 91 70 118 91 20 22 10-3/4

#11 101 78 131 101 22 24 12

#14 121 93 --- --- 37 31 18-1/4

#18 161 124 --- --- 50 41 24

Notes:

1. Straight development and Class "B" splice lengths shown in above tables are

based on uncoated bars assuming center-to-center bar spacing >= 3*db without

ties or stirrups or >= 2*db with ties or stirrups, and bar clear cover >= 1.0*db.Normal weight concrete as well as no transverse reinforcing are both assumed.

2. Standard 90 deg. hook embedment lengths are based on bar side cover >= 2.5"

and bar end cover >= 2" without ties around hook.

3. For special seismic considerations, refer to ACI 318-05 Code Chapter 21.




(in.) (in.) (in.) (in.) (in.) (in.) (in.)

#3 19 15 24 19 6 6 2-1/4

#4 25 19 32 25 7 8 3#5 31 24 40 31 9 10 3-3/4

#6 37 29 48 37 10 12 4-1/2

#7 54 42 70 54 12 14 5-1/4

#8 62 48 80 62 14 16 6

#9 70 54 91 70 15 19 9-1/2

#10 79 61 102 79 17 22 10-3/4

#11 87 67 113 87 19 24 12

#14 105 81 --- --- 32 31 18-1/4

#18 139 107 --- --- 43 41 24

Notes:







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(in.) (in.) (in.) (in.) (in.) (in.) (in.)

#3 17 13 22 17 6 6 2-1/4

#4 22 17 29 22 6 8 3#5 28 22 36 28 8 10 3-3/4

#6 33 26 43 33 9 12 4-1/2

#7 49 37 63 49 11 14 5-1/4

#8 55 43 72 55 12 16 6

#9 63 48 81 63 14 19 9-1/2

#10 70 54 91 70 15 22 10-3/4

#11 78 60 101 78 17 24 12

#14 94 72 --- --- 29 31 18-1/4

#18 125 96 --- --- 39 41 24

Notes:







Tension Lap Splice Classes

For Other than Columns For Columns

Area (Provided) / Area (Req'd) % of Bars Spliced Maximum Tension Stress % of Bars Spliced

50% in Reinforcing Bars 50%

< 2 B B = 2 A B > 0.5*fy B B

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Compression Development and Splice Lengths for fy=60 ksi

Bar Size Development Length (in.) Splice Length (in.)

f 'c=3000 f 'c=4000 f 'c=5000 f 'c=3000 f 'c=4000 f 'c=5000

#3 9 8 8 12 12 12

#4 11 10 9 15 15 15

#5 14 12 12 19 19 19#6 17 15 14 23 23 23

#7 19 17 16 27 27 27

#8 22 19 18 30 30 30

#9 25 22 21 34 34 34

#10 28 24 23 38 38 38

#11 31 27 26 43 43 43

#14 37 32 31 --- --- ---

#18 50 43 41 --- --- ---

Notes:

1. For development in columns with reinforcement enclosed with #4 ties spaced

= 1/4" diameter and =

1/4" diameter and

7/28/2019 RECTBEAM_(318-05)

15/15

Plain Welded Wire Reinforcement Properties

Welded Wire Reinf. Wire Diameter Wire Area Reinf. Weight

Designation Each Way (in.) Each Way (in.^2/ft.) (psf)

6x6 - W1.4xW1.4 0.135 0.028 0.21

6x6 - W2.0xW2.0 0.159 0.040 0.29

6x6 - W2.9xW2.9 0.192 0.058 0.426x6 - W4.0xW4.0 0.225 0.080 0.58

4x4 - W1.4xW1.4 0.135 0.042 0.31

4x4 - W2.0xW2.0 0.159 0.060 0.43

4x4 - W2.9xW2.9 0.192 0.087 0.62

4x4 - W4.0xW4.0 0.225 0.120 0.85

Notes:

1. Welded wire reinforcement designations are some common stock styles

assuming plain wire reinf. per ASTM Specification A185. (fy = 65,000 psi)

2. First part of welded wire reinf. designation denotes the wire spacing each way.

3. Second part of welded wire reinf. designation denotes the wire size as follows:

W1.4 ~= 10 gage , W2.0 ~= 8 gage

W2.9 ~= 6 gage , W4.0 ~= 4 gage

Documents

RECTBEAM_(318-05)