2
CMC Steel Products Composite Castellated Beam Design Program INTRODUCTION: CONSTRUCTION BRIDGING: This program will assist in sizing simply supported , composite castellated beams with point and uConstruction bridging is required for castellated beams only when one or both ends are either seated or beari requires construction bridging to be installed to meet the following loading conditions: Products toll free at (877) 764-2326 for furher information or assistance. 1. A 300 lb. man at midspan. This condition requires bolted X-bridging to be installed before the hoisting HOW TO SPECIFY: removed. Castellated beams can be specified in one of the following methods: 2. One 4,000 lb. bundle of deck to be placed over three beams no further than 1'-0" from the end of the bea 1. Direct Specification: condition requires horizontal bridging to be in place before deck bundles are placed. When using direct specification the beam is specified in the same manner as a wide flange beam. FWARNINGS & ERRORS: The following are errors and will cause the program to not report results: composite construction, significant weight savings can be achieved by using a heavier tee section 1. "e < emin" - e must be at least 3" to provide connection material. bottom and a lighter section on the top. This is known as an assymetric section. An example of t 2. "dt < dtmin" - dt must be greater than dtmin for fabrication reasons. 3. "e/tw > 30", "2h/e > 8", "Phi > 62", "Phi < 43" - no research has been performed on the web post bucklin beam is manufactured from a 35 pound per foot beam on top and a 46 pound per foot on bottom. Sevethese limitations. common assymetric sections can be selected in the design program. In order to accommodate product 4. "h/tw > 970/(Fy^0.5)" - the web slenderness exceeds the design procedure. processes, CMC Steel Products may from time to time provide an equivolent symetrical size. 5. "Point loads must start w/ P1 farthest left" - Point loads must be entered starting with P1 farthest lef 2. Performance Specification: P4 farthest right. A performance specification is the best way to insure the beam is designed as efficiently as possiThe following are warnings but will not cause errors in the program: 1. "Top or Bottom Tee Slender" - allowable stress on tee section has been reduced per Qs. nominally 27 inches deep, (Total Load/Live Load/Precomposite Dead Load). CMC Steel Products will 2. "ds > 2.5*tf" - stud diameter must be less than or equal to 2.5*flange thickness. provide the most efficient shape (symetric or assymetric) to support specified loadings. 3. "Studs too long" - shear studs must allow for at least 1/2" clear between the top of the stud and the su USE OF PROGRAM: 4. "Studs too short" - shear studs must be at least 1 1/2" taller than the ribs of the deck. 1. Enter job name and design mark (not required). 5. "tc < 2" - concrete must be at least 2" above the flutes of the deck. 2. Enter the beam configuration: span (110'-0" max), spacing (left & right), material strength (36 or 50), and connection type. If beams longer than 110' are needed please call CMC Steel Products for availability. 3. Enter concrete properties (strength, weight, & thickness), deck properties (height & width), and stud properties (diameter, number/rib, & length), and percent composite. e = web post width & te 4. Enter loading. Program allows (1) uniform live load, (1) uniform dead load, and up to (4) point loads. In order b = width of sloped por to verify the adequacy of the pre-composite beam, the percent present before the concrete has hardened dt = tee depth should be entered as well. The four point loads should be entered starting with P1 and ending with P4. dg = castellated beam d 5. Press Stnd. Geom. button. This enters the standard castellation pattern corresponding to the given tc = conc. thick. above castellated beam. hr = height of deck, ds 6. Choose a trial castellated beam. If all interaction values shown on the screen are less than 1.000, the beam fc' = 28 day concrete s is OK. wc = unit weight of con OPTIMIZATION: d = depth of root beam All of the failure modes and their corresponding interaction values are shown in the results section. All values bf = flange width must be less than or equal to 1.000 for the beam to be OK. Press the "Find Lightest Shape" button to have tf = flange thickness the program select the lightest shape with a standard castellation pattern. Significant strength improvements tw = web thickness can be achieved by modifying the castellation pattern. The following guidelines will help in the optimization. ho = height of hole 1. To increase shear or web post strength, increase "e". wo = width of hole 2. To increase bending strength, decrease "e". S = hole spacing 3. If point loads are a significant portion of the load, increase "dt". ***You can return to standard geometry by pressing the "Stnd. Geom." button*** SHEAR STUD DESIGN: The program will design the shear studs based on the composite design values selected. You can choose either full or partial composite. The program will space studs for point loads only if the loading is symetric. If the loading is not symetric, the program will not supply the stud spacing. The information presented in this publication and design software has been prepared in accordance with recognized engineering principles, in conformity with the AISC Specification for Structural Steel in BCMC Steel Products (ASD, 1989) and is for general information only. While it is believed that all data and information f2305 Ridge Road accurate, no person, corporation, association, or other entity involved in the preparation represents Suite 202 warrants that this information is fit or suitable for any general or particular use or purpose, or assRockwall, TX 75098 responsibility in the use of this information. This information must be used in conjunction with soun800-308-9925 engineering judgment and is intended to be used only by competent structural engineers, architects or licensed professionals. distributed loads. All areas shaded yellow or with a drop box require input information. Contac CB27x40, CB stands for C astellated B eam, nominally 27 inches deep weighing 40 pounds per foot. I specification is CB27x35/46. As before, CB stands for C astellated B eam, nominally 27 inches deep An example of a perfomance specification is: CB27(1100/560/500). CB stands for C astellated B eam, www.cmcsteelproducts.com NOM ENCLATURE:

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Page 1: 8SmartBeamCompositeCastellatedBeamDesign

CMC Steel Products Composite Castellated Beam Design ProgramINTRODUCTION: CONSTRUCTION BRIDGING:This program will assist in sizing simply supported , composite castellated beams with point and uniformly Construction bridging is required for castellated beams only when one or both ends are either seated or bearing. OSHA

requires construction bridging to be installed to meet the following loading conditions:Products toll free at (877) 764-2326 for furher information or assistance. 1. A 300 lb. man at midspan. This condition requires bolted X-bridging to be installed before the hoisting cables are

HOW TO SPECIFY: removed.Castellated beams can be specified in one of the following methods: 2. One 4,000 lb. bundle of deck to be placed over three beams no further than 1'-0" from the end of the beam. This 1. Direct Specification: condition requires horizontal bridging to be in place before deck bundles are placed.

When using direct specification the beam is specified in the same manner as a wide flange beam. For example, WARNINGS & ERRORS:The following are errors and will cause the program to not report results:

composite construction, significant weight savings can be achieved by using a heavier tee section on the 1. "e < emin" - e must be at least 3" to provide connection material.bottom and a lighter section on the top. This is known as an assymetric section. An example of this 2. "dt < dtmin" - dt must be greater than dtmin for fabrication reasons.

3. "e/tw > 30", "2h/e > 8", "Phi > 62", "Phi < 43" - no research has been performed on the web post buckling outsidebeam is manufactured from a 35 pound per foot beam on top and a 46 pound per foot on bottom. Several these limitations.common assymetric sections can be selected in the design program. In order to accommodate production 4. "h/tw > 970/(Fy^0.5)" - the web slenderness exceeds the design procedure.processes, CMC Steel Products may from time to time provide an equivolent symetrical size. 5. "Point loads must start w/ P1 farthest left" - Point loads must be entered starting with P1 farthest left and ending with 2. Performance Specification: P4 farthest right.A performance specification is the best way to insure the beam is designed as efficiently as possible. The following are warnings but will not cause errors in the program:

1. "Top or Bottom Tee Slender" - allowable stress on tee section has been reduced per Qs.nominally 27 inches deep, (Total Load/Live Load/Precomposite Dead Load). CMC Steel Products will 2. "ds > 2.5*tf" - stud diameter must be less than or equal to 2.5*flange thickness.provide the most efficient shape (symetric or assymetric) to support specified loadings. 3. "Studs too long" - shear studs must allow for at least 1/2" clear between the top of the stud and the surface of the slab.

USE OF PROGRAM: 4. "Studs too short" - shear studs must be at least 1 1/2" taller than the ribs of the deck. 1. Enter job name and design mark (not required). 5. "tc < 2" - concrete must be at least 2" above the flutes of the deck. 2. Enter the beam configuration: span (110'-0" max), spacing (left & right), material strength (36 or 50), andconnection type. If beams longer than 110' are needed please call CMC Steel Products for availability. 3. Enter concrete properties (strength, weight, & thickness), deck properties (height & width), and studproperties (diameter, number/rib, & length), and percent composite. e = web post width & tee length

4. Enter loading. Program allows (1) uniform live load, (1) uniform dead load, and up to (4) point loads. In order b = width of sloped portion

to verify the adequacy of the pre-composite beam, the percent present before the concrete has hardened dt = tee depth

should be entered as well. The four point loads should be entered starting with P1 and ending with P4. dg = castellated beam depth

5. Press Stnd. Geom. button. This enters the standard castellation pattern corresponding to the given tc = conc. thick. above the flutes

castellated beam. hr = height of deck, ds = stud dia.

6. Choose a trial castellated beam. If all interaction values shown on the screen are less than 1.000, the beam fc' = 28 day concrete strength

is OK. wc = unit weight of concrete

OPTIMIZATION: d = depth of root beam

All of the failure modes and their corresponding interaction values are shown in the results section. All values bf = flange width

must be less than or equal to 1.000 for the beam to be OK. Press the "Find Lightest Shape" button to have tf = flange thickness

the program select the lightest shape with a standard castellation pattern. Significant strength improvements tw = web thickness

can be achieved by modifying the castellation pattern. The following guidelines will help in the optimization. ho = height of hole

1. To increase shear or web post strength, increase "e". wo = width of hole

2. To increase bending strength, decrease "e". S = hole spacing

3. If point loads are a significant portion of the load, increase "dt".***You can return to standard geometry by pressing the "Stnd. Geom." button***

SHEAR STUD DESIGN:The program will design the shear studs based on the composite design values selected. You can chooseeither full or partial composite. The program will space studs for point loads only if the loading is symetric.If the loading is not symetric, the program will not supply the stud spacing.

The information presented in this publication and design software has been prepared in accordance with

recognized engineering principles, in conformity with the AISC Specification for Structural Steel in Buildings CMC Steel Products(ASD, 1989) and is for general information only. While it is believed that all data and information furnished is 2305 Ridge Roadaccurate, no person, corporation, association, or other entity involved in the preparation represents or Suite 202warrants that this information is fit or suitable for any general or particular use or purpose, or assumes any Rockwall, TX 75098responsibility in the use of this information. This information must be used in conjunction with sound 800-308-9925engineering judgment and is intended to be used only by competent structural engineers, architects or otherlicensed professionals.

distributed loads. All areas shaded yellow or with a drop box require input information. Contact CMC Steel

CB27x40, CB stands for Castellated Beam, nominally 27 inches deep weighing 40 pounds per foot. In

specification is CB27x35/46. As before, CB stands for Castellated Beam, nominally 27 inches deep. The

An example of a perfomance specification is: CB27(1100/560/500). CB stands for Castellated Beam,

www.cmcsteelproducts.com

NOMENCLATURE:

Page 2: 8SmartBeamCompositeCastellatedBeamDesign

SmartBeamTM

Composite Castellated Design Program

04/07/2023

CASTELLATED BEAM INFORMATION LOADING INFORMATION EXPAND'D. SXN. PROP'SJob Name Sample Project Uniform Distributed Loads Avg. wt. 50.5 plf

Beam Mark # CB1 Live Load 500 plf Pre-comp % 0% Anet 10.995 in^2

Span 60.000 ft Dead Load 650 plf Pre-comp % 80% Agross 18.450 in^2

Spac. Left 10.000 ft Concentrated Point Loads Ix net 2181.22 in^4Spac. Right 10.000 ft Load # Magnitude Dist from Percent DL Percent Ix gross 2433.52 in^4

Mat. Strength-Fy 50 ksi (#) (kips) Lft. End (ft) (%) Pre-Comp. Sx net 125.62 in^3

Round Duct Diam. 16.011 in P1 0.00 0.00 0% 0% Sx gross 145.73 in^3

Duct W x H 9.000 in 16.185 in P2 0.00 0.00 0% 0% rx min 11.48 in

Castellated Beam P3 0.00 0.00 0% 0% Iy 25.61 in^4

Root Beams (T/B) W21X44 W21X57 P4 0.00 0.00 0% 0% Sy 7.88 in^3

d 20.66 21.06 COMPOSITE INFORMATION COMPOSITE SXN. PROP'Sbf 6.5 6.555 Concrete & Deck: Shear Studs: n 8.44

tf 0.45 0.65 conc. strength - fc' (psi) 3500 stud dia. (in) 0.75 beffec. 120.00 in

tw 0.35 0.405 conc. wt. - wc (pcf) 150 stud ht. (in) 5 Actr 42.665 in^2

CASTELLATION PARAMETERS: conc. above deck - tc (in) 3 studs per rib 1 N.A. ht. 31.43 In Deck

e 8.000 in rib height - hr (in) 3 composite % 1 Itr 6474.27 in^4

b 5.500 in rib width - wr (in) 6 Stud Spacing: Ieffec. 6474.27 in^3

dt 5.500 in N=44,Uniformly Dist. Sxconc 1224.63 in^3S 27.000 in RESULTS WARNINGS Sxsteel 205.97 in^3dg 30.720 in Failure Mode Interaction Status CONSTRUCTION BRIDGINGphi 60.839 deg Bending 0.954 <=1.0 OK!! End Connection type

ho 19.720 in Web Post 0.756 <=1.0 OK!! Min. No. Of Bridging Rows 1

wo 19.000 in Shear 0.678 <=1.0 OK!! Max. Bridging. Spacing (ft) 39

Concrete 0.398 <=1.0 OK!!

Pre-Comp. 0.791 <=1.0 OK!!

Overall 0.954 <=1.0 OK!!

Pre-Composite Deflec. 2.643'' =L/272

Live Load Deflection 0.777'' =L/927

H3
The percent of the load precomposite is required to ensure the bare beam is adequate before the concrete hardens
J3
Area steel at web opening
H4
The percent of the load precomposite is required to ensure the bare beam is adequate before the concrete hardens
J4
Area steel at full section
B5
Distance to the nearest beam or edge of slab
J5
Moment of inertia at web opening
B6
Distance to the nearest beam or edge of slab
J6
Moment of inertia at full section
J7
Section modulus at web opening
H8
The percent of the load precomposite is required to ensure the bare beam is adequate before the concrete hardens
J8
Section modulus at full section
H9
The percent of the load precomposite is required to ensure the bare beam is adequate before the concrete hardens
H10
The percent of the load precomposite is required to ensure the bare beam is adequate before the concrete hardens
H11
The percent of the load precomposite is required to ensure the bare beam is adequate before the concrete hardens
H14
Stud diameter must be between 1/2" and 1"
H15
Stud height must be atleast 2" greater than the rib height and no more than 1/2" less than the total slab thickness
F16
Concrete thickness above deck must be at least 2"
H16
There must be between one and three studs per rib.
B17
Width of web post and tee length at top of web opening
F17
Rib height must be between .6" and 3"
B18
Horizontal length of sloped portion of web opening
B19
Depth of tee section
G19
Studs will be automatically spaced for point loads if the loads are arranged symetrically. If not, stud spacing should be checked.
B20
Spacing of web openings
B21
Actual beam depth
I21
Construction bridging is required by OSHA only if one or both ends of the beam are seated or bearing. The bridging covers certain common construction loads such as human or deck loads.
B22
Angle between horizontal and sloped portion of web opening, 58< Angle<62 degrees
B23
Height of web opening
B24
Width of web opening