Size: px
Start display at page:

Download ""

Transcription

1

2

3

4

5

6

7 1/29/2010 Page 2 of 65

8 1/29/2010 Page 3 of 65

9 1/29/2010 Page 4 of 65

10 Project Information 1/29/2010 Page 5 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Shallow Cells Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Geotechnial Report Reference Letter from Earth Consulting Incorporated Dated December 3, 2008 Vault Geometry Wall - A Length ft - Interior Dimensions Width Cell ft - Interior Dimensions Cell ft - Interior Dimensions Lid Thickness 1.04 ft Soil grade over vault Max ft Wall Height 6.50 ft Min ft Design W.S ft Freeboard 1.00 ft Under Side of Vault Lid ft Soil Cover 1.46 ft - Maximum Top of Vault Lid ft 1.46 ft - Minimum Vault Bottom ft Footing Drain Elevation ft - Footing drain not required. Watertable at 18.5' bgs. Soils well drained Loading Criteria AASHTO Loading H20 [H20, H25, 45 kip] Surcharge 71 psf - Equiv uniform Live Loading Footing Design 260 psf - Wall Design (geotech's standard 2 ft fill for traffic load) Equivalent Loading 70 psf uniform thrust - Wall Design 2.00 ft of additional fill - Wall Design 16 kip - H20 rear axle wheel load. 6 ft. wheel spacing. Geotechnical Design Values 9 Depth - grade to BOV Allowable Soil Bearing ft. load width Native Soil 4,000 psf 1,778 plf - where pressures overlap Struct'l Fill 4,000 psf 71 psf - (Int Wall) w equiv at overlap 142 psf - (Ext Wall) w equiv at overlap EFP active Drained 35 pcf EFP active Saturated 85 pcf EFP passive 250 pcf EFP uniform - seismi 33 psf 8 Seismic load of 8 x wall height / 1.6. Actual seismic load facto EFP uniform - gravity psf Uniform pressure of 0 x wall height. Live load factor = 1.6 Friction Coeff Soil Density 130 pcf Lid Density 84 pcf (84 pcf =HCP, 150 = Concrete) Material Strengths Concrete Walls 3,000 psi Footings 3,000 psi Lid 3,000 psi Reinforcing Steel Rebar 60,000 psi WWM 40,000 psi Muckleshoot - West Vault - shallow 2-span.xls 1 1/29/2010 8:16 AM

11 Project Information 1/29/2010 Page 6 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Shallow Cells Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Exterior Walls Wall - A Soil grade over vault 499 ft Wall Thickness 8.00 in Wall Height 6.50 ft Concrete Strength Rebar Grade 3,000 psi 60,000 psi Soil Pressure top 190 psf Wall ht 6.50 ftg lin 400 psf bott to ftg drain 0.50 ft base 443 psf Design Values Service Factored 1.6 Moment 1,609 lb-ft 2,574 lb-ft good number R top 864 lb 1,383 lb R bot 1,117 lb 1,786 lb Reinforcing Horizontal Reinforcing Options: Rho Horiz 12 in o/c rho = in o/c rho = in o/c rho = Crack Control z - limit to 145 k/in Vertical Reinforcing Options: fs [ksi] dc [in] Ac [in2] z [k/in] Design Sol'n 19 in o/c OK 4/3*rho 29 in o/c OK 42 in o/c no good 57 in o/c no good Wall Shear Footing dowel #5 Slab dowel #5 Shear, Vn, at top of wall 1.84 kips/ft Shear, Vn, at base of wall 2.38 kips/ft Wall top: One-way shear, Vc, with dowels 4 inches from inside wall face 5.26 kips/ft Wall Base: One-way shear, Vc, with dowels 2 inches from inside wall face 7.89 kips/ft Check Dtl Footing dowel shear with friction coefficient = 1.0 & #5 dowel kips/bar Wall Top: Place #5 dowels 4 inches from inside wall face. Wall Base: Place #5 dowels 2 inches from inside wall face. Space dowels at 34 o/c max. Space dowels at 39 o/c max Muckleshoot - West Vault - shallow 2-span.xls 2 1/29/2010 8:16 AM

12 Project Information 1/29/2010 Page 7 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Shallow Cells Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Exterior Footing - Under Plank Ends Wall - A Soil grade over vault 499 ft Footing Thickness 8.00 in Wall Height 6.50 ft Wall Thickness 8.00 in Tributary Width 12.5 ft Concrete Strength Rebar Grade 3,000 psi 60,000 psi Design Loads Service Service Factored Dead Soil 190 psf 2,496 plf 3,495 plf Lid 88 psf 1,152 plf 1,613 plf Wall 650 plf 910 plf Ftg weight 193 plf 271 plf Soil wedge at heel 780 plf 1,092 plf Live Surchar 142 psf 1,873 plf 3,183 plf 7,144 plf 10,564 plf Width 1.79 ft Use 2.00 ft Forces at top of wall Soil Bearing Service 3,572 psf DL 3,648 plf Factored 5,282 psf LL 1,873 plf - uniform load Moment Mu 1.2 kip-ft Shear Vu 1.8 kips Vn 2.1 kips Vc Shear OK, calculation not required, cone shear failure. Reinforcing Longitudinal Reinforcing Options: 2 # plf < # plf 1 # plf Transverse Reinforcing Options: 34 in o/c 52 in o/c 75 in o/c 102 in o/c Transverse reinforcing not required. Cone shear failure Muckleshoot - West Vault - shallow 2-span.xls 3 1/29/2010 8:16 AM

13 Project Information 1/29/2010 Page 8 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Shallow Cells Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Interior Footing Wall - B Soil grade over vault 499 ft Footing Thickness in Wall Height 6.50 ft Wall Thickness 8.00 in Tributary Width 25 ft Concrete Strength Rebar Grade 3,000 psi 60,000 psi Design Loads Service Service Factored Dead Soil 190 psf 4,866 plf 6,812 plf Lid 88 psf 2,246 plf 3,144 plf Wall 650 plf 910 plf Ftg weight 340 plf 476 plf Live Surchar 71 psf 1,825 plf 3,103 plf 9,927 plf 14,445 plf Width 2.48 ft Use 2.50 ft Forces at top of wall Soil Bearing Service 3,971 psf DL 7,112 plf Factored 5,778 psf LL 1,825 plf - uniform load Moment Mu 2.4 kip-ft Wall Compressive Stress at Mid-height Shear Vu 2.6 kip P service 9,262 plf Vn 3.0 kip fa 96 psi Vc 11.3 Shear OK, calculation Fa 180 psi Reinforcing Longitudinal Reinforcing Options: 4 # plf < # plf 2 # plf Transverse Reinforcing Options: 27 in o/c 42 in o/c 60 in o/c 81 in o/c Transverse reinforcing not required. Cone shear failure Muckleshoot - West Vault - shallow 2-span.xls 4 1/29/2010 8:16 AM

14 Project Information 1/29/2010 Page 9 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Shallow Cells Buoyancy Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Vault Geometry Length Width Lid Thickness Soil grade over vault Under Side of Vault Lid Vault Bottom Soil Cover Wall Height Allowable Water Table Potential uplift ft - outside dim ft - outside dim ft ft ft ft 1.46 ft - Maximum 6.5 ft ft 183,283 lb - per foot of vault length Walls 214,933 lb perimeter only Lid 42,972 lb Soil Cover 1,117,278 lb Footings 66,142 lb perimeter only Floor 4.5 in thick 331,500 lb 1,772,825 lb Soil Column in proj 515,840 lb Total am'nt of ftg that ext'ds beyond the ext wall face. Accounts for both sides of the vault. Accounts for dry soil above ftg drain only. Ratio Max.footing drain Elev ft < Floor Slab Design Gross Uplift 31.1 psf Slab Weight 56.3 psf Net Uplift psf No net uplift on floor slab Flexure Mu = k-ft/ft d = 2.25 in As (transverse) 24 in MD OR 38 in MD Transverse As (long) 24 in MD Transverse Alternate: 6x6-W2.9XW2.9 WWM (dia = in, area = in2/ft) at MD Slab Shear Vu = -0.5 klf V n = klf Vc = 2.95 klf Shear capacity adequate Muckleshoot - West Vault - shallow 2-span.xls 5 1/29/2010 8:16 AM

15 Project Information 1/29/2010 Page 10 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Deep Cells Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Geotechnial Report Reference Letter from Earth Consulting Incorporated Dated December 3, 2008 Vault Geometry Wall - C Length ft - Interior Dimensions Width Cell ft - Interior Dimensions Cell ft - Interior Dimensions Lid Thickness 1.04 ft Soil grade over vault Max ft Wall Height ft Min ft Design W.S ft Freeboard 1.00 ft Under Side of Vault Lid ft Soil Cover 1.46 ft - Maximum Top of Vault Lid ft 1.46 ft - Minimum Vault Bottom ft Footing Drain Elevation ft - Footing drain not required. Watertable at 18.5' bgs. Soils well drained Loading Criteria AASHTO Loading H20 [H20, H25, 45 kip] Surcharge 43 psf - Equiv uniform Live Loading Footing Design 260 psf - Wall Design (geotech's standard 2 ft fill for traffic load) Equivalent Loading 70 psf uniform thrust - Wall Design 2.00 ft of additional fill - Wall Design 16 kip - H20 rear axle wheel load. 6 ft. wheel spacing. Geotechnical Design Values Depth - grade to BOV Allowable Soil Bearing ft. load width Native Soil 4,000 psf 1,085 plf - where pressures overlap Struct'l Fill 4,000 psf 43 psf - (Int Wall) w equiv at overlap 87 psf - (Ext Wall) w equiv at overlap EFP active Drained 35 pcf EFP active Saturated 85 pcf EFP passive 250 pcf EFP uniform - seismi 61 psf 8 Seismic load of 8 x wall height / 1.6. Actual seismic load facto EFP uniform - gravity psf Uniform pressure of 0 x wall height. Live load factor = 1.6 Friction Coeff Soil Density 130 pcf Lid Density 84 pcf (84 pcf =HCP, 150 = Concrete) Material Strengths Concrete Walls 3,000 psi Footings 3,000 psi Lid 3,000 psi Reinforcing Steel Rebar 60,000 psi WWM 40,000 psi Muckleshoot - West Vault - deep 2-span.xls 1 1/29/2010 8:18 AM

16 Project Information 1/29/2010 Page 11 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Deep Cells Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Exterior Walls Wall - C Soil grade over vault 499 ft Wall Thickness in Wall Height ft Concrete Strength Rebar Grade 3,000 psi 60,000 psi Soil Pressure top 219 psf Wall ht ftg lin 613 psf bott to ftg drain 1.00 ft base 698 psf Design Values Service Factored 1.6 Moment 8,181 lb-ft 13,089 lb-ft good number R top 2,216 lb 3,545 lb R bot 3,115 lb 4,984 lb Reinforcing Horizontal Reinforcing Options: Rho Horiz 10 in o/c rho = in o/c rho = in o/c rho = Crack Control z - limit to 145 k/in Vertical Reinforcing Options: fs [ksi] dc [in] Ac [in2] z [k/in] Design Sol'n 6 in o/c OK rho 10 in o/c OK 14 in o/c OK 19 in o/c OK Wall Shear Footing dowel #5 Slab dowel #5 Shear, Vn, at top of wall 4.73 kips/ft Shear, Vn, at base of wall 6.65 kips/ft Wall top: One-way shear, Vc, with dowels 4 inches from inside wall face 7.89 kips/ft Check Dtl Wall Base: One-way shear, Vc, with dowels 2 inches from inside wall face kips/ft Check Dtl Footing dowel shear with friction coefficient = 1.0 & #5 dowel kips/bar Wall Top: Place #5 dowels 4 inches from inside wall face. Wall Base: Place #5 dowels 2 inches from inside wall face. Space dowels at 20 o/c max. Space dowels at 18 o/c max Muckleshoot - West Vault - deep 2-span.xls 2 1/29/2010 8:18 AM

17 Project Information 1/29/2010 Page 12 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Deep Cells Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Exterior Footing - Under Plank Ends Wall - C Soil grade over vault 499 ft Footing Thickness 8.00 in Wall Height ft Wall Thickness in Tributary Width 12.5 ft Concrete Strength Rebar Grade 3,000 psi 60,000 psi Design Loads Service Service Factored Dead Soil 190 psf 2,528 plf 3,539 plf Lid 88 psf 1,167 plf 1,633 plf Wall 1,531 plf 2,144 plf Ftg weight 193 plf 271 plf Soil wedge at heel 1,119 plf 1,566 plf Live Surchar 87 psf 1,157 plf 1,967 plf 7,695 plf 11,120 plf Width 1.92 ft Use 2.00 ft Forces at top of wall Soil Bearing Service 3,847 psf DL 3,694 plf Factored 5,560 psf LL 1,157 plf - uniform load Moment Mu 0.9 kip-ft Shear Vu 1.4 kips Vn 1.6 kips Vc Shear OK, calculation not required, cone shear failure. Reinforcing Longitudinal Reinforcing Options: 2 # plf < # plf 1 # plf Transverse Reinforcing Options: 42 in o/c 65 in o/c 93 in o/c 127 in o/c Transverse reinforcing not required. Cone shear failure Muckleshoot - West Vault - deep 2-span.xls 3 1/29/2010 8:18 AM

18 Project Information 1/29/2010 Page 13 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Deep Cells Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Interior Footing Wall - D Soil grade over vault 499 ft Footing Thickness in Wall Height ft Wall Thickness in Tributary Width 25 ft Concrete Strength Rebar Grade 3,000 psi 60,000 psi Design Loads Service Service Factored Dead Soil 190 psf 4,898 plf 6,857 plf Lid 88 psf 2,260 plf 3,165 plf Wall 1,531 plf 2,144 plf Ftg weight 399 plf 558 plf Live Surchar 43 psf 1,121 plf 1,906 plf 10,209 plf 14,629 plf Width 2.55 ft Use 2.75 ft Forces at top of wall Soil Bearing Service 3,712 psf DL 7,158 plf Factored 5,320 psf LL 1,121 plf - uniform load Moment Mu 2.4 kip-ft Wall Compressive Stress at Mid-height Shear Vu 2.4 kip P service 9,045 plf Vn 2.9 kip fa 75 psi Vc 11.3 Shear OK, calculation Fa 180 psi Reinforcing Longitudinal Reinforcing Options: 4 # plf < # plf 2 # plf Transverse Reinforcing Options: 29 in o/c 45 in o/c 65 in o/c 88 in o/c Transverse reinforcing not required. Cone shear failure Muckleshoot - West Vault - deep 2-span.xls 4 1/29/2010 8:18 AM

19 Project Information 1/29/2010 Page 14 of 65 Muckleshoot Indian Tribe Project Number West Detention Vault West Vault City of Auburn Deep Cells Buoyancy Trevor Stiff ESM Consulting Engineers, Inc st Way South #200 Federal Way, WA (253) Vault Geometry Length Width Lid Thickness Soil grade over vault Under Side of Vault Lid Vault Bottom Soil Cover Wall Height Allowable Water Table Potential uplift ft - outside dim ft - outside dim ft ft ft ft 1.46 ft - Maximum 12.3 ft ft 371,179 lb - per foot of vault length Walls 508,885 lb perimeter only Lid 43,513 lb Soil Cover 1,131,339 lb Footings 66,467 lb perimeter only Floor 4.5 in thick 335,672 lb 2,085,876 lb Soil Column in proj 743,457 lb Total am'nt of ftg that ext'ds beyond the ext wall face. Accounts for both sides of the vault. Accounts for dry soil above ftg drain only. Ratio Max.footing drain Elev ft < Floor Slab Design Gross Uplift 62.2 psf Slab Weight 56.3 psf Net Uplift 6.0 psf << Design floor reinforcing for net uplift >> Flexure Mu = k-ft/ft d = 2.25 in As (transverse) 23 in MD OR 36 in MD Transverse As (long) 24 in MD Transverse Alternate: 6x6-W2.9XW2.9 WWM (dia = in, area = in2/ft) at MD Slab Shear Vu = 0.11 klf V n = 0.12 klf Vc = 2.95 klf Shear capacity adequate Muckleshoot - West Vault - deep 2-span.xls 5 1/29/2010 8:18 AM

20 1/29/2010 Page 15 of 65

21 1/29/2010 Page 16 of 65

22 1/29/2010 Page 17 of 65

23 1/29/2010 Page 18 of 65

24 1/29/2010 Page 19 of 65

25 1/29/2010 Page 20 of 65

26 1/29/2010 Page 21 of 65

27 1/29/2010 Page 22 of 65

28 1/29/2010 Page 23 of 65

29 1/29/2010 Page 24 of 65

30 ADAPT - STRUCTURAL CONCRETE SOFTWARE SYSTEM ADAPT-RC Version 4.01 Date: 1/29/2010 Time: 8:50:04 AM File: CB-1 V 1- PROJECT TITLE MIT Vault #2 - CB DESIGN STRIP CB-1 shear 2 - MEMBER ELEVATION [ft] MIT West Vault - Permit Submittal 1/29/2010 Page 25 of TOP REBAR 3.1 User selected 3.2 User selected 3.3 ADAPT selected 3.4 ADAPT selected 5 - BOTTOM REBAR 5.1 User selected 5.2 User selected 5.3 ADAPT selected 2 3#5X18'0" 5.4 ADAPT selected 1 4#5X19'0" 6 - REQUIRED & PROVIDED BARS 6.1 Top Bars [ in 2 ] required provided max Bottom Bars max SHEAR STIRRUPS 7.1 ADAPT selected. Bar Size #4 Legs: 2 Spacing [in] User-selected Bar Size # Legs: 7.3 Required area [in 2 /ft] 8 - LEGEND DESIGN PARAMETERS 9.1 Code: ACI f'c = 3 ksi fy = 60 ksi (longitudinal) fy = 60 ksi (shear) 9.2 Rebar Cover: Top = 1 in Bottom = 1 in Rebar Table: ASTM - US Customary bars (Non-redistributed Moments) 10 - DESIGNER'S NOTES

31 1/29/2010 Page 26 of 65 ADAPT CORPORATION STRUCTURAL CONCRETE SOFTWARE SYSTEM 1733 Woodside Road, Suite 220, Redwood City, California ADAPT-RC FOR REINFORCED CONCRETE BEAM/SLAB DESIGN Version 4.01 AMERICAN (ACI /UBC-1997) ADAPT CORPORATION - Structural Concrete Software System 1733 Woodside Road, Suite 220, Redwood City, California Phone: (650) , Fax: (650) Support@AdaptSoft.com, Web site: DATE AND TIME OF PROGRAM EXECUTION: Jan 29,2010 At Time: 8:50 PROJECT FILE: CB-1 V P R O J E C T T I T L E: MIT Vault #2 - CB-1 CB-1 shear 1 - G E N E R A L D E S I G N P A R A M E T E R S CONCRETE: STRENGTH at 28 days, for BEAMS/SLABS... MODULUS OF ELASTICITY for BEAMS/SLABS psi ksi CREEP factor for deflections for BEAMS/SLABS CONCRETE WEIGHT... SELF WEIGHT... REINFORCEMENT: YIELD Strength... Minimum Cover at TOP... Minimum Cover at BOTTOM... ANALYSIS OPTIONS USED: Structural system... Moment of Inertia over support is... Effective flange width consideration... NORMAL pcf ksi 1.00 in 1.00 in BEAM NOT INCREASED NO 2 - I N P U T G E O M E T R Y Page 2 ( CB-1 V) ADAPT-RC V ACI

32 1/29/2010 Page 27 of PRINCIPAL SPAN DATA OF UNIFORM SPANS S F TOP BOTTOM/MIDDLE P O FLANGE FLANGE REF MULTIPLIER A R LENGTH WIDTH DEPTH width thick. width thick. HEIGHT left right N M ft in in in in in in in LEGEND: 1 - SPAN 3 - FORM C = Cantilever 1 = Rectangular section 2 = T or Inverted L section 3 = I section 4 = Extended T or L section 7 = Joist 8 = Waffle 11 - Top surface to reference line S U P P O R T W I D T H A N D C O L U M N D A T A SUPPORT < LOWER COLUMN > < UPPER COLUMN > WIDTH LENGTH B(DIA) D CBC* LENGTH B(DIA) D CBC* JOINT in ft in in ft in in (1) (1) (1) (1) *THE COLUMN BOUNDARY CONDITION CODES (CBC) Fixed at both ends...(standard)... = 1 Hinged at near end, fixed at far end... = 2 Fixed at near end, hinged at far end... = 3 Fixed at near end, roller with rotational fixity at far end.. = I N P U T A P P L I E D L O A D I N G <---CLASS---> < TYPE > D = DEAD LOAD U = UNIFORM P = PARTIAL UNIFORM Page 3 ( CB-1 V) ADAPT-RC V ACI L = LIVE LOAD C = CONCENTRATED M = APPLIED MOMENT

33 1/29/2010 Page 28 of 65 Li= LINE LOAD Intensity ( From... To ) ( M or C...At) Total on Trib SPAN CLASS TYPE k/ft^2 ( ft ft ) (k-ft or k...ft) k/ft L C L C D P D P SW U NOTE: LIVE LOADING is SKIPPED with a skip factor of LOADING AS APPEARS IN USER`S INPUT SCREEN PRIOR TO PROCESSING UNIFORM (k/ft^2), ( CON. or PART. ) ( M O M E N T ) SPAN CLASS TYPE LINE(k/ft) ( k@ft or ft-ft ) ( ft ) L C L C D P D P NOTE: SELFWEIGHT INCLUSION REQUIRED LIVE LOADING is SKIPPED with a skip factor of C A L C U L A T E D S E C T I O N P R O P E R T I E S 4.1 For Uniform Spans and Cantilevers only SPAN AREA I Yb Yt in^2 in^4 in in E Note: Page 4 ( CB-1 V) ADAPT-RC V ACI --- = Span/Cantilever is Nonuniform, see block 4.2

34 1/29/2010 Page 29 of D E A D L O A D M O M E N T S, S H E A R S & R E A C T I O N S < 5.1 S P A N M O M E N T S (k-ft) > < 5.2 SPAN SHEARS (k) > SPAN M(l)* midspan M(r)* SH(l) SH(r) Note: * = Centerline moments JOINT < 5.3 REACTIONS (k) > <- 5.4 COLUMN MOMENTS (k-ft) -> Lower columns----upper columns L I V E L O A D M O M E N T S, S H E A R S & R E A C T I O N S < L I V E L O A D SPAN MOMENTS (k-ft) and SHEAR FORCES (k) --> <----- left* -----> <--- midspan ---> <---- right* -----> <--SHEAR FORCE--> SPAN max min max min max min left right Note: * = Centerline moments <- 6.2 REACTIONS (k) -> < COLUMN MOMENTS (k-ft) > <--- LOWER COLUMN ---> <--- UPPER COLUMN ---> JOINT max min max min max min Page 5 ( CB-1 V) ADAPT-RC V ACI 10 - F A C T O R E D M O M E N T S & R E A C T I O N S Calculated as ( 1.40D L) 10.1 FACTORED DESIGN MOMENTS (k-ft)

35 1/29/2010 Page 30 of 65 <----- left* > <---- midspan ----> <----- right* -----> SPAN max min max min max min Note: * = face of support 10.2 FACTORED REACTIONS 10.3 FACTORED COLUMN MOMENTS (k-ft) (k) <-- LOWER column --> <-- UPPER column --> JOINT max min max min max min M I L D S T E E L Top bar extension beyond where required in Bottom bar extension beyond where required in M I L D S T E E L - T O T A L S T R I P TOP STEEL SELECTION AT MID-SPAN BOTTOM STEEL AT MID-SPAN (in^2) <-- SELECTION --> (in^2) <-- SELECTION --> SPAN ( ULT MIN*) NO SIZE LENGTH ( ULT MIN*) NO SIZE LENGTH (.00.00) ( ) 7 # 5 x 19'-0" TOP STEEL SELECTION AT SUPPORTS BOTTOM STEEL AT SUPPORTS Page 6 ( CB-1 V) ADAPT-RC V ACI (in^2) <-- SELECTION --> (in^2) <-- SELECTION --> JOINT ( ULT MIN*) NO SIZE LENGTH ( ULT MIN*) NO SIZE LENGTH (.00.00) (.00.00) 2 (.00.00) (.00.00) TOTAL WEIGHT OF REBAR = lb AVERAGE = 7.5 psf

36 1/29/2010 Page 31 of 65 Note: Min* = Minimum rebar listed under column 3 and 8 is calculated based on either "rho min = 200/fy" or "1.33*Area of reinforcement for strength (listed under column 2 and 7)" Number of bars listed under column 4 is based on either area of bar under column 2 or column 3, whichever is larger. Number of bars listed under column 9 is based on either area of bar under column 7 or column 8, whichever is larger S E L E C T I O N O F R E B A R STEEL PROVIDED SPAN ID LOCATION NUM BAR LENGTH [ft] AREA [in^2] B 4 # 5 x 19'0" B 3 # 5 x 18'0" Notes: Bar location - T = Top, B = Bottom. NUM - Number of bars. Refer to steel disposition tables and PTsum graphical display for positioning of bars STEEL DISPOSITION - TOP BARS TOP STEEL SPAN ID LOCATION NUM BAR LENGTH [ft] STEEL DISPOSITION - BOTTOM BARS Page 7 ( CB-1 V) ADAPT-RC V ACI BOTTOM STEEL SPAN ID LOCATION NUM BAR LENGTH [ft] RIGHT 4 # 5 x 18'9" 1 2 RIGHT 3 # 5 x 17'10" S H E A R D E S I G N FOR BEAMS AND ONE-WAY SLAB SYSTEMS

37 1/29/2010 Page 32 of 65 LEGEND : Concrete = NORMAL weight (full shear allowed for) d... = distance of compression fiber to centroid of tension rebar #3@... = spacings of two-legged #3 stirrups, (fy= psi) ***** means no stirrups are required Mu, Vu.. = factored moments and shears CASES.. Vc = 1 ACI eqn 11-6 governs 2 min permissible value of 2(fc)^1/2 governs (ACI eqn 11-3) 3 max permissible value of 3.5(fc)^1/2 governs Av = 1 no reinforcement required 2 min reinforcement required (ACI eqn 11-14), for beams only 3 stirrup required by analysis (ACI eqn 11-15) SPAN = 1 LENGTH = ft (Net span from.00 to ft ) X d Vu Mu RATIO Av # 4@ CASES X/L ft in k k-ft Vu/íVc in^2/ft in Vc Av REMARKS (2 3) (1 3) (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY ***** (2 1) Page 8 ( CB-1 V) ADAPT-RC V ACI ***** (2 1) ***** (2 1) ***** (2 1) (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 3) (2 3)

38 1/29/2010 Page 33 of 65 Page 9 ( CB-1 V) ADAPT-RC V ACI 13 - MAXIMUM S P A N D E F L E C T I O N S Concrete`s modulus of elasticity... Ec = ksi Creep factor... K = 2.00 Values in parentheses are (span/max deflection) ratios <...DEFLECTION ARE ALL IN inches, DOWNWARD POSITIVE...> SPAN DL DL+CREEP LL DL+LL+CREEP ( 1583).26( 866).40( 560)

39 ADAPT - STRUCTURAL CONCRETE SOFTWARE SYSTEM ADAPT-RC Version 4.01 Date: 1/29/2010 Time: 8:52:58 AM File: CB-1 M 1- PROJECT TITLE MIT Vault #2 - CB DESIGN STRIP CB-1 flexure 2 - MEMBER ELEVATION [ft] MIT West Vault - Permit Submittal 1/29/2010 Page 34 of TOP REBAR 3.1 User selected 3.2 User selected 3.3 ADAPT selected 3.4 ADAPT selected 5 - BOTTOM REBAR 5.1 User selected 5.2 User selected 5.3 ADAPT selected 5.4 ADAPT selected 1 4#5X19'0" 2 4#5X16'0" 6 - REQUIRED & PROVIDED BARS 6.1 Top Bars [ in 2 ] required provided max Bottom Bars max SHEAR STIRRUPS 7.1 ADAPT selected. Bar Size #4 Legs: 2 Spacing [in] User-selected Bar Size # Legs: 7.3 Required area [in 2 /ft] 8 - LEGEND DESIGN PARAMETERS 9.1 Code: ACI f'c = 3 ksi fy = 60 ksi (longitudinal) fy = 60 ksi (shear) 9.2 Rebar Cover: Top = 1 in Bottom = 1 in Rebar Table: ASTM - US Customary bars (Non-redistributed Moments) 10 - DESIGNER'S NOTES

40 1/29/2010 Page 35 of 65 ADAPT CORPORATION STRUCTURAL CONCRETE SOFTWARE SYSTEM 1733 Woodside Road, Suite 220, Redwood City, California ADAPT-RC FOR REINFORCED CONCRETE BEAM/SLAB DESIGN Version 4.01 AMERICAN (ACI /UBC-1997) ADAPT CORPORATION - Structural Concrete Software System 1733 Woodside Road, Suite 220, Redwood City, California Phone: (650) , Fax: (650) Support@AdaptSoft.com, Web site: DATE AND TIME OF PROGRAM EXECUTION: Jan 29,2010 At Time: 8:52 PROJECT FILE: CB-1 M P R O J E C T T I T L E: MIT Vault #2 - CB-1 CB-1 flexure 1 - G E N E R A L D E S I G N P A R A M E T E R S CONCRETE: STRENGTH at 28 days, for BEAMS/SLABS... MODULUS OF ELASTICITY for BEAMS/SLABS psi ksi CREEP factor for deflections for BEAMS/SLABS CONCRETE WEIGHT... SELF WEIGHT... REINFORCEMENT: YIELD Strength... Minimum Cover at TOP... Minimum Cover at BOTTOM... ANALYSIS OPTIONS USED: Structural system... Moment of Inertia over support is... Effective flange width consideration... NORMAL pcf ksi 1.00 in 1.00 in BEAM NOT INCREASED NO 2 - I N P U T G E O M E T R Y PRINCIPAL SPAN DATA OF UNIFORM SPANS S F TOP BOTTOM/MIDDLE

41 1/29/2010 Page 36 of 65 Page 2 ( CB-1 M) ADAPT-RC V ACI P O FLANGE FLANGE REF MULTIPLIER A R LENGTH WIDTH DEPTH width thick. width thick. HEIGHT left right N M ft in in in in in in in LEGEND: 1 - SPAN 3 - FORM C = Cantilever 1 = Rectangular section 2 = T or Inverted L section 3 = I section 4 = Extended T or L section 7 = Joist 8 = Waffle 11 - Top surface to reference line S U P P O R T W I D T H A N D C O L U M N D A T A SUPPORT < LOWER COLUMN > < UPPER COLUMN > WIDTH LENGTH B(DIA) D CBC* LENGTH B(DIA) D CBC* JOINT in ft in in ft in in (1) (1) (1) (1) *THE COLUMN BOUNDARY CONDITION CODES (CBC) Fixed at both ends...(standard)... = 1 Hinged at near end, fixed at far end... = 2 Fixed at near end, hinged at far end... = 3 Fixed at near end, roller with rotational fixity at far end.. = I N P U T A P P L I E D L O A D I N G <---CLASS---> < TYPE > D = DEAD LOAD U = UNIFORM P = PARTIAL UNIFORM L = LIVE LOAD C = CONCENTRATED M = APPLIED MOMENT Li= LINE LOAD Intensity ( From... To ) ( M or C...At) Total on Trib SPAN CLASS TYPE k/ft^2 ( ft ft ) (k-ft or k...ft) k/ft

42 1/29/2010 Page 37 of 65 Page 3 ( CB-1 M) ADAPT-RC V ACI 1 L C L C D P D P SW U NOTE: LIVE LOADING is SKIPPED with a skip factor of LOADING AS APPEARS IN USER`S INPUT SCREEN PRIOR TO PROCESSING UNIFORM (k/ft^2), ( CON. or PART. ) ( M O M E N T ) SPAN CLASS TYPE LINE(k/ft) ( k@ft or ft-ft ) ( ft ) L C L C D P D P NOTE: SELFWEIGHT INCLUSION REQUIRED LIVE LOADING is SKIPPED with a skip factor of C A L C U L A T E D S E C T I O N P R O P E R T I E S 4.1 For Uniform Spans and Cantilevers only SPAN AREA I Yb Yt in^2 in^4 in in E Note: --- = Span/Cantilever is Nonuniform, see block D E A D L O A D M O M E N T S, S H E A R S & R E A C T I O N S

43 1/29/2010 Page 38 of 65 Page 4 ( CB-1 M) ADAPT-RC V ACI < 5.1 S P A N M O M E N T S (k-ft) > < 5.2 SPAN SHEARS (k) > SPAN M(l)* midspan M(r)* SH(l) SH(r) Note: * = Centerline moments JOINT < 5.3 REACTIONS (k) > <- 5.4 COLUMN MOMENTS (k-ft) -> Lower columns----upper columns L I V E L O A D M O M E N T S, S H E A R S & R E A C T I O N S < L I V E L O A D SPAN MOMENTS (k-ft) and SHEAR FORCES (k) --> <----- left* -----> <--- midspan ---> <---- right* -----> <--SHEAR FORCE--> SPAN max min max min max min left right Note: * = Centerline moments <- 6.2 REACTIONS (k) -> < COLUMN MOMENTS (k-ft) > <--- LOWER COLUMN ---> <--- UPPER COLUMN ---> JOINT max min max min max min F A C T O R E D M O M E N T S & R E A C T I O N S Calculated as ( 1.20D L) 10.1 FACTORED DESIGN MOMENTS (k-ft) <----- left* > <---- midspan ----> <----- right* -----> SPAN max min max min max min

44 1/29/2010 Page 39 of 65 Page 5 ( CB-1 M) ADAPT-RC V ACI Note: * = face of support 10.2 FACTORED REACTIONS 10.3 FACTORED COLUMN MOMENTS (k-ft) (k) <-- LOWER column --> <-- UPPER column --> JOINT max min max min max min M I L D S T E E L Top bar extension beyond where required in Bottom bar extension beyond where required in M I L D S T E E L - T O T A L S T R I P TOP STEEL SELECTION AT MID-SPAN BOTTOM STEEL AT MID-SPAN (in^2) <-- SELECTION --> (in^2) <-- SELECTION --> SPAN ( ULT MIN*) NO SIZE LENGTH ( ULT MIN*) NO SIZE LENGTH (.00.00) ( ) 8 # 5 x 19'-0" TOP STEEL SELECTION AT SUPPORTS BOTTOM STEEL AT SUPPORTS (in^2) <-- SELECTION --> (in^2) <-- SELECTION --> JOINT ( ULT MIN*) NO SIZE LENGTH ( ULT MIN*) NO SIZE LENGTH (.00.00) (.00.00) 2 (.00.00) (.00.00) TOTAL WEIGHT OF REBAR = lb AVERAGE = 8.5 psf Note: Min* = Minimum rebar listed under column 3 and 8 is calculated based on either "rho min = 200/fy" or "1.33*Area of reinforcement for strength (listed under column 2 and 7)" Number of bars listed under column 4 is based on either area of bar under

45 1/29/2010 Page 40 of 65 Page 6 ( CB-1 M) ADAPT-RC V ACI column 2 or column 3, whichever is larger. Number of bars listed under column 9 is based on either area of bar under column 7 or column 8, whichever is larger S E L E C T I O N O F R E B A R STEEL PROVIDED SPAN ID LOCATION NUM BAR LENGTH [ft] AREA [in^2] B 4 # 5 x 19'0" B 4 # 5 x 16'0" Notes: Bar location - T = Top, B = Bottom. NUM - Number of bars. Refer to steel disposition tables and PTsum graphical display for positioning of bars STEEL DISPOSITION - TOP BARS TOP STEEL SPAN ID LOCATION NUM BAR LENGTH [ft] STEEL DISPOSITION - BOTTOM BARS BOTTOM STEEL SPAN ID LOCATION NUM BAR LENGTH [ft] RIGHT 4 # 5 x 18'9" 1 2 RIGHT 4 # 5 x 15'11" S H E A R D E S I G N FOR BEAMS AND ONE-WAY SLAB SYSTEMS LEGEND : Concrete = NORMAL weight (full shear allowed for) d... = distance of compression fiber to centroid of

46 1/29/2010 Page 41 of 65 Page 7 ( CB-1 M) ADAPT-RC V ACI tension rebar #3@... = spacings of two-legged #3 stirrups, (fy= psi) ***** means no stirrups are required Mu, Vu.. = factored moments and shears CASES.. Vc = 1 ACI eqn 11-6 governs 2 min permissible value of 2(fc)^1/2 governs (ACI eqn 11-3) 3 max permissible value of 3.5(fc)^1/2 governs Av = 1 no reinforcement required 2 min reinforcement required (ACI eqn 11-14), for beams only 3 stirrup required by analysis (ACI eqn 11-15) SPAN = 1 LENGTH = ft (Net span from.00 to ft ) X d Vu Mu RATIO Av # 4@ CASES X/L ft in k k-ft Vu/íVc in^2/ft in Vc Av REMARKS (2 3) (2 3) (1 3) (1 3) (2 3) (2 3) (2 3) (2 3) (2 3) ***** (2 1) ***** (2 1) ***** (2 1) ***** (2 1) ***** (2 1) ***** (2 1) (1 3) (1 3) (1 3) (1 3) (2 3) (2 3)

47 1/29/2010 Page 42 of 65 Page 8 ( CB-1 M) ADAPT-RC V ACI 13 - MAXIMUM S P A N D E F L E C T I O N S Concrete`s modulus of elasticity... Ec = ksi Creep factor... K = 2.00 Values in parentheses are (span/max deflection) ratios <...DEFLECTION ARE ALL IN inches, DOWNWARD POSITIVE...> SPAN DL DL+CREEP LL DL+LL+CREEP ( 1583).35( 642).49( 457)

48 1/29/2010 Page 43 of 65

49 1/29/2010 Page 44 of 65 Footing Design Footing at wall end Dead Load (DL): 40,000 lbs. L Live Load (LL): 30,000 lbs. O Snow Load (SL): 0 lbs. A D Total Load = TL = DL+LL+SL = 70,000 lbs. S Ultimate Load = U = 1.2DL + 1.6LL = 96,000 lbs. or U = 1.2DL + 1.0LL + 1.6SL = 78,000 lbs. Assumed Allowable Soil Bearing Pressure, P a = 4,000 psf S O Required Bearing Area = TL/P a = sq.ft. I Provide footing with side length, L 1 = 4.50 feet Long side L side length, L 2 = 4.50 feet Short side S Actual Soil Bearing, w = TL/(L 1 *L 2 ) = 3,457 psf Ultimate Soil Bearing, wu = U/L^2 = 4,741 psf Concrete Strength, f c ' = 3,000 psi C Depth of Footing, h = 12 inches O Depth to Reinforcement, d = 8.5 inches N Base Plate Dimensions: d1 = 12 inches C d2 = 16 inches R E Beam Shear, V u = 22.2 kips - demand T Punching Shear, V u = 79.5 kips - demand E Capacity Demand Beam Shear Strength, Φ V n = 37.7 kips > 22.2 kips - ok D Punching Shear Strength, Φ V n = kips > 79.5 kips - ok E S Maximum Footing Moment, L 1 span, M u = 54.0 kip-feet I F = Ld^2/12000 = 0.3 G K u = M u/f = N p(req) = A s(req) = pa c = 1.55 sq.in. Maximum Footing Moment, L 2 span, M u = 54.0 kip-feet F = Ld^2/12000 = 0.3 K u = M u /F = p(req) = A s(req) = pa c = 1.55 sq.in. Provide: 4.5 foot by 4.5 foot by 12 inch thick footing with: Options: Long Dirct'n Short Dirct'n Weight # lbs # Use #5 bars # #

50 ADAPT - STRUCTURAL CONCRETE SOFTWARE SYSTEM ADAPT-RC Version 4.01 Date: 1/29/2010 Time: 10:22:31 AM File: CB-2 V 1- PROJECT TITLE MIT Vault #2 - CB DESIGN STRIP Case 2 - Shear 2 - MEMBER ELEVATION [ft] MIT West Vault - Permit Submittal 1/29/2010 Page 45 of TOP REBAR 3.1 User selected 3.2 User selected 3.3 ADAPT selected 3.4 ADAPT selected 5 - BOTTOM REBAR 5.1 User selected 5.2 User selected 5.3 ADAPT selected 2 4#5X12'6" 5.4 ADAPT selected 1 5#5X13'0" 6 - REQUIRED & PROVIDED BARS 6.1 Top Bars [ in 2 ] required provided max Bottom Bars max SHEAR STIRRUPS 7.1 ADAPT selected. Bar Size #4 Legs: 2 Spacing [in] User-selected Bar Size # Legs: 7.3 Required area [in 2 /ft] 8 - LEGEND DESIGN PARAMETERS 9.1 Code: ACI f'c = 3 ksi fy = 60 ksi (longitudinal) fy = 60 ksi (shear) 9.2 Rebar Cover: Top = 1 in Bottom = 1 in Rebar Table: ASTM - US Customary bars (Non-redistributed Moments) 10 - DESIGNER'S NOTES

51 1/29/2010 Page 46 of 65 ADAPT CORPORATION STRUCTURAL CONCRETE SOFTWARE SYSTEM 1733 Woodside Road, Suite 220, Redwood City, California ADAPT-RC FOR REINFORCED CONCRETE BEAM/SLAB DESIGN Version 4.01 AMERICAN (ACI /UBC-1997) ADAPT CORPORATION - Structural Concrete Software System 1733 Woodside Road, Suite 220, Redwood City, California Phone: (650) , Fax: (650) Support@AdaptSoft.com, Web site: DATE AND TIME OF PROGRAM EXECUTION: Jan 29,2010 At Time: 10:22 PROJECT FILE: CB-2 V P R O J E C T T I T L E: MIT Vault #2 - CB-2 Case 2 - Shear 1 - G E N E R A L D E S I G N P A R A M E T E R S CONCRETE: STRENGTH at 28 days, for BEAMS/SLABS... MODULUS OF ELASTICITY for BEAMS/SLABS psi ksi CREEP factor for deflections for BEAMS/SLABS CONCRETE WEIGHT... SELF WEIGHT... REINFORCEMENT: YIELD Strength... Minimum Cover at TOP... Minimum Cover at BOTTOM... ANALYSIS OPTIONS USED: Structural system... Moment of Inertia over support is... Effective flange width consideration... NORMAL pcf ksi 1.00 in 1.00 in BEAM NOT INCREASED NO 2 - I N P U T G E O M E T R Y PRINCIPAL SPAN DATA OF UNIFORM SPANS S F TOP BOTTOM/MIDDLE

52 1/29/2010 Page 47 of 65 Page 2 ( CB-2 V) ADAPT-RC V ACI P O FLANGE FLANGE REF MULTIPLIER A R LENGTH WIDTH DEPTH width thick. width thick. HEIGHT left right N M ft in in in in in in in LEGEND: 1 - SPAN 3 - FORM C = Cantilever 1 = Rectangular section 2 = T or Inverted L section 3 = I section 4 = Extended T or L section 7 = Joist 8 = Waffle 11 - Top surface to reference line S U P P O R T W I D T H A N D C O L U M N D A T A SUPPORT < LOWER COLUMN > < UPPER COLUMN > WIDTH LENGTH B(DIA) D CBC* LENGTH B(DIA) D CBC* JOINT in ft in in ft in in (1) (1) (1) (1) *THE COLUMN BOUNDARY CONDITION CODES (CBC) Fixed at both ends...(standard)... = 1 Hinged at near end, fixed at far end... = 2 Fixed at near end, hinged at far end... = 3 Fixed at near end, roller with rotational fixity at far end.. = I N P U T A P P L I E D L O A D I N G <---CLASS---> < TYPE > D = DEAD LOAD U = UNIFORM P = PARTIAL UNIFORM L = LIVE LOAD C = CONCENTRATED M = APPLIED MOMENT Li= LINE LOAD Intensity ( From... To ) ( M or C...At) Total on Trib SPAN CLASS TYPE k/ft^2 ( ft ft ) (k-ft or k...ft) k/ft

53 1/29/2010 Page 48 of 65 Page 3 ( CB-2 V) ADAPT-RC V ACI 1 L C L C L C D C D P D P D P D P SW U NOTE: LIVE LOADING is SKIPPED with a skip factor of LOADING AS APPEARS IN USER`S INPUT SCREEN PRIOR TO PROCESSING UNIFORM (k/ft^2), ( CON. or PART. ) ( M O M E N T ) SPAN CLASS TYPE LINE(k/ft) ( k@ft or ft-ft ) ( ft ) L C L C L C D C D P D P D P D P NOTE: SELFWEIGHT INCLUSION REQUIRED LIVE LOADING is SKIPPED with a skip factor of C A L C U L A T E D S E C T I O N P R O P E R T I E S 4.1 For Uniform Spans and Cantilevers only SPAN AREA I Yb Yt in^2 in^4 in in E Note: --- = Span/Cantilever is Nonuniform, see block 4.2

54 1/29/2010 Page 49 of 65 Page 4 ( CB-2 V) ADAPT-RC V ACI 5 - D E A D L O A D M O M E N T S, S H E A R S & R E A C T I O N S < 5.1 S P A N M O M E N T S (k-ft) > < 5.2 SPAN SHEARS (k) > SPAN M(l)* midspan M(r)* SH(l) SH(r) Note: * = Centerline moments JOINT < 5.3 REACTIONS (k) > <- 5.4 COLUMN MOMENTS (k-ft) -> Lower columns----upper columns L I V E L O A D M O M E N T S, S H E A R S & R E A C T I O N S < L I V E L O A D SPAN MOMENTS (k-ft) and SHEAR FORCES (k) --> <----- left* -----> <--- midspan ---> <---- right* -----> <--SHEAR FORCE--> SPAN max min max min max min left right Note: * = Centerline moments <- 6.2 REACTIONS (k) -> < COLUMN MOMENTS (k-ft) > <--- LOWER COLUMN ---> <--- UPPER COLUMN ---> JOINT max min max min max min F A C T O R E D M O M E N T S & R E A C T I O N S

55 1/29/2010 Page 50 of 65 Page 5 ( CB-2 V) ADAPT-RC V ACI Calculated as ( 1.40D L) 10.1 FACTORED DESIGN MOMENTS (k-ft) <----- left* > <---- midspan ----> <----- right* -----> SPAN max min max min max min Note: * = face of support 10.2 FACTORED REACTIONS 10.3 FACTORED COLUMN MOMENTS (k-ft) (k) <-- LOWER column --> <-- UPPER column --> JOINT max min max min max min M I L D S T E E L Top bar extension beyond where required in Bottom bar extension beyond where required in M I L D S T E E L - T O T A L S T R I P TOP STEEL SELECTION AT MID-SPAN BOTTOM STEEL AT MID-SPAN (in^2) <-- SELECTION --> (in^2) <-- SELECTION --> SPAN ( ULT MIN*) NO SIZE LENGTH ( ULT MIN*) NO SIZE LENGTH (.00.00) ( ) 9 # 5 x 12'-0" TOP STEEL SELECTION AT SUPPORTS BOTTOM STEEL AT SUPPORTS (in^2) <-- SELECTION --> (in^2) <-- SELECTION --> JOINT ( ULT MIN*) NO SIZE LENGTH ( ULT MIN*) NO SIZE LENGTH (.00.00) (.00.00) 2 (.00.00) (.00.00)

56 1/29/2010 Page 51 of 65 Page 6 ( CB-2 V) ADAPT-RC V ACI TOTAL WEIGHT OF REBAR = lb AVERAGE = 9.4 psf Note: Min* = Minimum rebar listed under column 3 and 8 is calculated based on either "rho min = 200/fy" or "1.33*Area of reinforcement for strength (listed under column 2 and 7)" Number of bars listed under column 4 is based on either area of bar under column 2 or column 3, whichever is larger. Number of bars listed under column 9 is based on either area of bar under column 7 or column 8, whichever is larger S E L E C T I O N O F R E B A R STEEL PROVIDED SPAN ID LOCATION NUM BAR LENGTH [ft] AREA [in^2] B 5 # 5 x 13'0" B 4 # 5 x 12'6" Notes: Bar location - T = Top, B = Bottom. NUM - Number of bars. Refer to steel disposition tables and PTsum graphical display for positioning of bars STEEL DISPOSITION - TOP BARS TOP STEEL SPAN ID LOCATION NUM BAR LENGTH [ft] STEEL DISPOSITION - BOTTOM BARS BOTTOM STEEL SPAN ID LOCATION NUM BAR LENGTH [ft] RIGHT 5 # 5 x 12'10" 1 2 RIGHT 4 # 5 x 12'2"

57 1/29/2010 Page 52 of 65 Page 7 ( CB-2 V) ADAPT-RC V ACI 12 - S H E A R D E S I G N FOR BEAMS AND ONE-WAY SLAB SYSTEMS LEGEND : Concrete = NORMAL weight (full shear allowed for) d... = distance of compression fiber to centroid of tension rebar #3@... = spacings of two-legged #3 stirrups, (fy= psi) ***** means no stirrups are required Mu, Vu.. = factored moments and shears CASES.. Vc = 1 ACI eqn 11-6 governs 2 min permissible value of 2(fc)^1/2 governs (ACI eqn 11-3) 3 max permissible value of 3.5(fc)^1/2 governs Av = 1 no reinforcement required 2 min reinforcement required (ACI eqn 11-14), for beams only 3 stirrup required by analysis (ACI eqn 11-15) SPAN = 1 LENGTH = ft (Net span from.00 to ft ) X d Vu Mu RATIO Av # 4@ CASES X/L ft in k k-ft Vu/íVc in^2/ft in Vc Av REMARKS (2 3) (2 3) (1 3) (1 3) (1 3) (1 3) (2 3) (2 2) BEAMS ONLY (2 2) BEAMS ONLY (2 2) BEAMS ONLY ***** (2 1) ***** (2 1) (2 2) BEAMS ONLY (1 3) (1 3) (1 3) (1 3) (1 3) (1 3) (2 3) (2 3)

PROPOSED SATSANG HALL TECHNICAL REPORT

PROPOSED SATSANG HALL TECHNICAL REPORT PROPOSED SATSANG HALL - VERTICAL STRIP V1 1 ------------------------------------------------------------------------------ ADAPT CORPORATION STRUCTURAL CONCRETE SOFTWARE SYSTEM 1733 Woodside Road, Suite

More information

PUNCHING SHEAR CALCULATIONS 1 ACI 318; ADAPT-PT

PUNCHING SHEAR CALCULATIONS 1 ACI 318; ADAPT-PT Structural Concrete Software System TN191_PT7_punching_shear_aci_4 011505 PUNCHING SHEAR CALCULATIONS 1 ACI 318; ADAPT-PT 1. OVERVIEW Punching shear calculation applies to column-supported slabs, classified

More information

Serviceability Deflection calculation

Serviceability Deflection calculation Chp-6:Lecture Goals Serviceability Deflection calculation Deflection example Structural Design Profession is concerned with: Limit States Philosophy: Strength Limit State (safety-fracture, fatigue, overturning

More information

RETAINING WALL LOADS: Horizontal Equivalent Fluid Pressure = pcf. (Load Case = Soil)

RETAINING WALL LOADS: Horizontal Equivalent Fluid Pressure = pcf. (Load Case = Soil) QuickWall 8.0 - RETAINING WALL ANALYSIS AND DESIGN ================================================================================ Job ID : Job Description : Designed By : ================================================================================

More information

Design of a Balanced-Cantilever Bridge

Design of a Balanced-Cantilever Bridge Design of a Balanced-Cantilever Bridge CL (Bridge is symmetric about CL) 0.8 L 0.2 L 0.6 L 0.2 L 0.8 L L = 80 ft Bridge Span = 2.6 L = 2.6 80 = 208 Bridge Width = 30 No. of girders = 6, Width of each girder

More information

Case Study in Reinforced Concrete adapted from Simplified Design of Concrete Structures, James Ambrose, 7 th ed.

Case Study in Reinforced Concrete adapted from Simplified Design of Concrete Structures, James Ambrose, 7 th ed. ARCH 631 Note Set 11 S017abn Case Study in Reinforced Concrete adapted from Simplified Design of Concrete Structures, James Ambrose, 7 th ed. Building description The building is a three-story office building

More information

Design of Reinforced Concrete Beam for Shear

Design of Reinforced Concrete Beam for Shear Lecture 06 Design of Reinforced Concrete Beam for Shear By: Civil Engineering Department UET Peshawar drqaisarali@uetpeshawar.edu.pk Topics Addressed Shear Stresses in Rectangular Beams Diagonal Tension

More information

3.5 Reinforced Concrete Section Properties

3.5 Reinforced Concrete Section Properties CHAPER 3: Reinforced Concrete Slabs and Beams 3.5 Reinforced Concrete Section Properties Description his application calculates gross section moment of inertia neglecting reinforcement, moment of inertia

More information

Lecture-04 Design of RC Members for Shear and Torsion

Lecture-04 Design of RC Members for Shear and Torsion Lecture-04 Design of RC Members for Shear and Torsion By: Prof. Dr. Qaisar Ali Civil Engineering Department UET Peshawar drqaisarali@uetpeshawar.edu.pk www.drqaisarali.com 1 Topics Addressed Design of

More information

Chapter 2. Design for Shear. 2.1 Introduction. Neutral axis. Neutral axis. Fig. 4.1 Reinforced concrete beam in bending. By Richard W.

Chapter 2. Design for Shear. 2.1 Introduction. Neutral axis. Neutral axis. Fig. 4.1 Reinforced concrete beam in bending. By Richard W. Chapter 2 Design for Shear By Richard W. Furlong 2.1 Introduction Shear is the term assigned to forces that act perpendicular to the longitudinal axis of structural elements. Shear forces on beams are

More information

Moment Redistribution

Moment Redistribution TIME SAVING DESIGN AID Page 1 of 23 A 3-span continuous beam has center-to-center span lengths of 30 ft-0 in. The beam is 20 in. by 28 in. and all columns are 20 in. by 20 in. In this example, the beam

More information

Design of Reinforced Concrete Beam for Shear

Design of Reinforced Concrete Beam for Shear Lecture 06 Design of Reinforced Concrete Beam for Shear By: Prof Dr. Qaisar Ali Civil Engineering Department UET Peshawar drqaisarali@uetpeshawar.edu.pk 1 Topics Addressed Shear Stresses in Rectangular

More information

Design of a Multi-Storied RC Building

Design of a Multi-Storied RC Building Design of a Multi-Storied RC Building 16 14 14 3 C 1 B 1 C 2 B 2 C 3 B 3 C 4 13 B 15 (S 1 ) B 16 (S 2 ) B 17 (S 3 ) B 18 7 B 4 B 5 B 6 B 7 C 5 C 6 C 7 C 8 C 9 7 B 20 B 22 14 B 19 (S 4 ) C 10 C 11 B 23

More information

Preferred practice on semi-integral abutment layout falls in the following order:

Preferred practice on semi-integral abutment layout falls in the following order: GENERAL INFORMATION: This section of the chapter establishes the practices and requirements necessary for the design and detailing of semi-integral abutments. For general requirements and guidelines on

More information

Design of Reinforced Concrete Structures (II)

Design of Reinforced Concrete Structures (II) Design of Reinforced Concrete Structures (II) Discussion Eng. Mohammed R. Kuheil Review The thickness of one-way ribbed slabs After finding the value of total load (Dead and live loads), the elements are

More information

3.4 Reinforced Concrete Beams - Size Selection

3.4 Reinforced Concrete Beams - Size Selection CHAPER 3: Reinforced Concrete Slabs and Beams 3.4 Reinforced Concrete Beams - Size Selection Description his application calculates the spacing for shear reinforcement of a concrete beam supporting a uniformly

More information

Two Way Beam Supported Slab

Two Way Beam Supported Slab Two Way Beam Supported Slab Part 2 The following example was done by Mr. Naim Hassan, 3 rd Year 2 nd Semester Student of CE Dept., AUST 16 The following Example was done by Md. Mahmudun Nobe, ID -.01.03.078,

More information

Two-Way Flat Plate Concrete Floor System Analysis and Design

Two-Way Flat Plate Concrete Floor System Analysis and Design Two-Way Flat Plate Concrete Floor System Analysis and Design Version: Aug-10-017 Two-Way Flat Plate Concrete Floor System Analysis and Design The concrete floor slab system shown below is for an intermediate

More information

Design of RC Retaining Walls

Design of RC Retaining Walls Lecture - 09 Design of RC Retaining Walls By: Prof Dr. Qaisar Ali Civil Engineering Department UET Peshawar www.drqaisarali.com 1 Topics Retaining Walls Terms Related to Retaining Walls Types of Retaining

More information

A q u a b l u e a t t h e G o l d e n M i l e

A q u a b l u e a t t h e G o l d e n M i l e A q u a b l u e a t t h e G o l d e n M i l e H a t o R e y, P u e r t o R i c o G e n e r a l B u i l d i n g I n f o r m a t i o n Building Facts: 7-story parking structure + luxury apartments 900,000

More information

Figure 1: Representative strip. = = 3.70 m. min. per unit length of the selected strip: Own weight of slab = = 0.

Figure 1: Representative strip. = = 3.70 m. min. per unit length of the selected strip: Own weight of slab = = 0. Example (8.1): Using the ACI Code approximate structural analysis, design for a warehouse, a continuous one-way solid slab supported on beams 4.0 m apart as shown in Figure 1. Assume that the beam webs

More information

Lecture-08 Gravity Load Analysis of RC Structures

Lecture-08 Gravity Load Analysis of RC Structures Lecture-08 Gravity Load Analysis of RC Structures By: Prof Dr. Qaisar Ali Civil Engineering Department UET Peshawar www.drqaisarali.com 1 Contents Analysis Approaches Point of Inflection Method Equivalent

More information

General Comparison between AISC LRFD and ASD

General Comparison between AISC LRFD and ASD General Comparison between AISC LRFD and ASD 1 General Comparison between AISC LRFD and ASD 2 AISC ASD and LRFD AISC ASD = American Institute of Steel Construction = Allowable Stress Design AISC Ninth

More information

Lecture-05 Serviceability Requirements & Development of Reinforcement

Lecture-05 Serviceability Requirements & Development of Reinforcement Lecture-05 Serviceability Requirements & Development of Reinforcement By: Prof Dr. Qaisar Ali Civil Engineering Department UET Peshawar drqaisarali@uetpeshawar.edu.pk www.drqaisarali.com 1 Section 1: Deflections

More information

This procedure covers the determination of the moment of inertia about the neutral axis.

This procedure covers the determination of the moment of inertia about the neutral axis. 327 Sample Problems Problem 16.1 The moment of inertia about the neutral axis for the T-beam shown is most nearly (A) 36 in 4 (C) 236 in 4 (B) 136 in 4 (D) 736 in 4 This procedure covers the determination

More information

DEFLECTION CALCULATIONS (from Nilson and Nawy)

DEFLECTION CALCULATIONS (from Nilson and Nawy) DEFLECTION CALCULATIONS (from Nilson and Nawy) The deflection of a uniformly loaded flat plate, flat slab, or two-way slab supported by beams on column lines can be calculated by an equivalent method that

More information

Karbala University College of Engineering Department of Civil Eng. Lecturer: Dr. Jawad T. Abodi

Karbala University College of Engineering Department of Civil Eng. Lecturer: Dr. Jawad T. Abodi Chapter 05 Structural Steel Design According to the AISC Manual 13 th Edition Analysis and Design of Beams By Dr. Jawad Talib Al-Nasrawi University of Karbala Department of Civil Engineering 71 Introduction

More information

Lecture 7 Two-Way Slabs

Lecture 7 Two-Way Slabs Lecture 7 Two-Way Slabs Two-way slabs have tension reinforcing spanning in BOTH directions, and may take the general form of one of the following: Types of Two-Way Slab Systems Lecture 7 Page 1 of 13 The

More information

SPECIFIC VERIFICATION Chapter 5

SPECIFIC VERIFICATION Chapter 5 As = 736624/(0.5*413.69) = 3562 mm 2 (ADAPT 3569 mm 2, B29, C6) Data Block 27 - Compressive Stresses The initial compressive strength, f ci, is the strength entered in the Material/Concrete input screen.

More information

Appendix K Design Examples

Appendix K Design Examples Appendix K Design Examples Example 1 * Two-Span I-Girder Bridge Continuous for Live Loads AASHTO Type IV I girder Zero Skew (a) Bridge Deck The bridge deck reinforcement using A615 rebars is shown below.

More information

Roadway Grade = m, amsl HWM = Roadway grade dictates elevation of superstructure and not minimum free board requirement.

Roadway Grade = m, amsl HWM = Roadway grade dictates elevation of superstructure and not minimum free board requirement. Example on Design of Slab Bridge Design Data and Specifications Chapter 5 SUPERSTRUCTURES Superstructure consists of 10m slab, 36m box girder and 10m T-girder all simply supported. Only the design of Slab

More information

Appendix J. Example of Proposed Changes

Appendix J. Example of Proposed Changes Appendix J Example of Proposed Changes J.1 Introduction The proposed changes are illustrated with reference to a 200-ft, single span, Washington DOT WF bridge girder with debonded strands and no skew.

More information

ε t increases from the compressioncontrolled Figure 9.15: Adjusted interaction diagram

ε t increases from the compressioncontrolled Figure 9.15: Adjusted interaction diagram CHAPTER NINE COLUMNS 4 b. The modified axial strength in compression is reduced to account for accidental eccentricity. The magnitude of axial force evaluated in step (a) is multiplied by 0.80 in case

More information

Chapter 4 Seismic Design Requirements for Building Structures

Chapter 4 Seismic Design Requirements for Building Structures Chapter 4 Seismic Design Requirements for Building Structures where: F a = 1.0 for rock sites which may be assumed if there is 10 feet of soil between the rock surface and the bottom of spread footings

More information

Flexure: Behavior and Nominal Strength of Beam Sections

Flexure: Behavior and Nominal Strength of Beam Sections 4 5000 4000 (increased d ) (increased f (increased A s or f y ) c or b) Flexure: Behavior and Nominal Strength of Beam Sections Moment (kip-in.) 3000 2000 1000 0 0 (basic) (A s 0.5A s ) 0.0005 0.001 0.0015

More information

A.2 AASHTO Type IV, LRFD Specifications

A.2 AASHTO Type IV, LRFD Specifications A.2 AASHTO Type IV, LRFD Specifications A.2.1 INTRODUCTION A.2.2 DESIGN PARAMETERS 1'-5.0" Detailed example showing sample calculations for design of typical Interior AASHTO Type IV prestressed concrete

More information

AISC LRFD Beam Design in the RAM Structural System

AISC LRFD Beam Design in the RAM Structural System Model: Verification11_3 Typical Floor Beam #10 W21x44 (10,3,10) AISC 360-05 LRFD Beam Design in the RAM Structural System Floor Loads: Slab Self-weight: Concrete above flute + concrete in flute + metal

More information

B U I L D I N G D E S I G N

B U I L D I N G D E S I G N B U I L D I N G D E S I G N 10.1 DESIGN OF SLAB P R I O D E E P C H O W D H U R Y C E @ K 8. 0 1 7 6 9 4 4 1 8 3 DESIGN BY COEFFICIENT METHOD Loads: DL = 150 pc LL = 85 pc Material Properties: c = 3000

More information

This Technical Note describes how the program checks column capacity or designs reinforced concrete columns when the ACI code is selected.

This Technical Note describes how the program checks column capacity or designs reinforced concrete columns when the ACI code is selected. COMPUTERS AND STRUCTURES, INC., BERKELEY, CALIFORNIA DECEMBER 2001 CONCRETE FRAME DESIGN ACI-318-99 Technical Note This Technical Note describes how the program checks column capacity or designs reinforced

More information

twenty one concrete construction: shear & deflection ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2014 lecture

twenty one concrete construction: shear & deflection ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2014 lecture ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN DR. ANNE NICHOLS SUMMER 2014 lecture twenty one concrete construction: Copyright Kirk Martini shear & deflection Concrete Shear 1 Shear in Concrete

More information

Lecture Example. Steel Deck (info from Vulcraft Steel Roof and Floor Deck Manual)

Lecture Example. Steel Deck (info from Vulcraft Steel Roof and Floor Deck Manual) 1 / 8 Geometry beam span L 40 ft Steel Wide Flange Beam: beam spacing s beam 10 ft F y 50 ksi construction live load LL construc 20 psf row 148 live load LL 150 psf unit weight of concrete UW conc 145

More information

UNIT II SHALLOW FOUNDATION

UNIT II SHALLOW FOUNDATION Introduction UNIT II SHALLOW FOUNDATION A foundation is a integral part of the structure which transfer the load of the superstructure to the soil. A foundation is that member which provides support for

More information

Beam Design - FLOOR JOIST

Beam Design - FLOOR JOIST Beam Design - FLOOR JOIST 1. Beam Data Load Type: Uniform Dist. Load Support: Simple Beam Beam Type: Sawn Lumber Species: Douglas Fir-Larch Grade: DF No.2 Size: 2 x 10 Design Span (L): 11.83 ft. Clear

More information

5. What is the moment of inertia about the x - x axis of the rectangular beam shown?

5. What is the moment of inertia about the x - x axis of the rectangular beam shown? 1 of 5 Continuing Education Course #274 What Every Engineer Should Know About Structures Part D - Bending Strength Of Materials NOTE: The following question was revised on 15 August 2018 1. The moment

More information

Chapter 8. Shear and Diagonal Tension

Chapter 8. Shear and Diagonal Tension Chapter 8. and Diagonal Tension 8.1. READING ASSIGNMENT Text Chapter 4; Sections 4.1-4.5 Code Chapter 11; Sections 11.1.1, 11.3, 11.5.1, 11.5.3, 11.5.4, 11.5.5.1, and 11.5.6 8.2. INTRODUCTION OF SHEAR

More information

DESIGN AND DETAILING OF COUNTERFORT RETAINING WALL

DESIGN AND DETAILING OF COUNTERFORT RETAINING WALL DESIGN AND DETAILING OF COUNTERFORT RETAINING WALL When the height of the retaining wall exceeds about 6 m, the thickness of the stem and heel slab works out to be sufficiently large and the design becomes

More information

spslab v3.11. Licensed to: STRUCTUREPOINT, LLC. License ID: D2DE-2175C File: C:\Data\CSA A Kt Revised.slb

spslab v3.11. Licensed to: STRUCTUREPOINT, LLC. License ID: D2DE-2175C File: C:\Data\CSA A Kt Revised.slb X Z Y spslab v3.11. Licensed to: STRUCTUREPOINT, LLC. License ID: 00000-0000000-4-2D2DE-2175C File: C:\Data\CSA A23.3 - Kt Revised.slb Project: CSA A23.3 - Kt Torsional Stiffness Illustration Frame: Engineer:

More information

Design 1 Calculations

Design 1 Calculations Design 1 Calculations The following calculations are based on the method employed by Java Module A and are consistent with ACI318-99. The values in Fig. 1 below were taken from the Design 1 Example found

More information

Annex - R C Design Formulae and Data

Annex - R C Design Formulae and Data The design formulae and data provided in this Annex are for education, training and assessment purposes only. They are based on the Hong Kong Code of Practice for Structural Use of Concrete 2013 (HKCP-2013).

More information

Beam Design and Deflections

Beam Design and Deflections Beam Design and Deflections tation: a = name for width dimension A = name for area Areq d-adj = area required at allowable stress when shear is adjusted to include self weight Aweb = area of the web of

More information

Seismic Pushover Analysis Using AASHTO Guide Specifications for LRFD Seismic Bridge Design

Seismic Pushover Analysis Using AASHTO Guide Specifications for LRFD Seismic Bridge Design Seismic Pushover Analysis Using AASHTO Guide Specifications for LRFD Seismic Bridge Design Elmer E. Marx, Alaska Department of Transportation and Public Facilities Michael Keever, California Department

More information

TABLE OF CONTANINET 1. Design criteria. 2. Lateral loads. 3. 3D finite element model (SAP2000, Ver.16). 4. Design of vertical elements (CSI, Ver.9).

TABLE OF CONTANINET 1. Design criteria. 2. Lateral loads. 3. 3D finite element model (SAP2000, Ver.16). 4. Design of vertical elements (CSI, Ver.9). TABLE OF CONTANINET 1. Design criteria. 2. Lateral loads. 2-1. Wind loads calculation 2-2. Seismic loads 3. 3D finite element model (SAP2000, Ver.16). 4. Design of vertical elements (CSI, Ver.9). 4-1.

More information

4.3 Moment Magnification

4.3 Moment Magnification CHAPTER 4: Reinforced Concrete Columns 4.3 Moment Magnification Description An ordinary or first order frame analysis does not include either the effects of the lateral sidesway deflections of the column

More information

Beam Design - Shed Roof Back Wall Beam-S

Beam Design - Shed Roof Back Wall Beam-S Beam Design - Shed Roof Back Wall Beam-S 1. Beam Data Load Type: Uniform Dist. Load Support: Simple Beam Beam Type: Glulam Species: Western Species Grade: 24F-V4 1.8E DF/DF Size: 2.5 x 6 Design Span (L):

More information

ABS Consulting Project No

ABS Consulting Project No SUPPORTING STRUCTURE DESIGN FOR BLAST RESISTANT WINDOWS CHILD DEVELOPMENT CENTER MOODY AFB, GA ABS Consulting Project No. 898 PREPARED FOR: ATLANTIC ENGINEERING SERVICE 6 ARLINGTON EXPRESSWAY BLDG. B,

More information

Curved Steel I-girder Bridge LFD Guide Specifications (with 2003 Edition) C. C. Fu, Ph.D., P.E. The BEST Center University of Maryland October 2003

Curved Steel I-girder Bridge LFD Guide Specifications (with 2003 Edition) C. C. Fu, Ph.D., P.E. The BEST Center University of Maryland October 2003 Curved Steel I-girder Bridge LFD Guide Specifications (with 2003 Edition) C. C. Fu, Ph.D., P.E. The BEST Center University of Maryland October 2003 Guide Specifications (1993-2002) 2.3 LOADS 2.4 LOAD COMBINATIONS

More information

Chapter (6) Geometric Design of Shallow Foundations

Chapter (6) Geometric Design of Shallow Foundations Chapter (6) Geometric Design of Shallow Foundations Introduction As we stated in Chapter 3, foundations are considered to be shallow if if [D (3 4)B]. Shallow foundations have several advantages: minimum

More information

Lecture-09 Introduction to Earthquake Resistant Analysis & Design of RC Structures (Part I)

Lecture-09 Introduction to Earthquake Resistant Analysis & Design of RC Structures (Part I) Lecture-09 Introduction to Earthquake Resistant Analysis & Design of RC Structures (Part I) By: Prof Dr. Qaisar Ali Civil Engineering Department UET Peshawar www.drqaisarali.com 1 Topics Introduction Earthquake

More information

Structural Calculations For:

Structural Calculations For: Structural Calculations For: Project: Address: Job No. Revision: Date: 1400 N. Vasco Rd. Livermore, CA 94551 D031014 Delta 1 - Plan Check May 8, 2015 Client: Ferreri & Blau MEMBER REPORT Roof, Typical

More information

DIVISION: METALS SECTION: METAL FASTENINGS SECTION: STEEL DECKING REPORT HOLDER: PNEUTEK, INC.

DIVISION: METALS SECTION: METAL FASTENINGS SECTION: STEEL DECKING REPORT HOLDER: PNEUTEK, INC. ICC ES Report ICC ES () 7 () www.icc es.org Most Widely Accepted and Trusted ESR 1 Reissued /1 This report is subject to renewal /. DIVISION: METALS SECTION: METAL FASTENINGS SECTION: 1 STEEL ING REPORT

More information

ERRATA for PE Civil Structural Practice Exam ISBN Copyright 2014 (July 2016 Second Printing) Errata posted

ERRATA for PE Civil Structural Practice Exam ISBN Copyright 2014 (July 2016 Second Printing) Errata posted Errata posted 8-16-2017 Revisions are shown in red. Question 521, p. 47: Question 521 should read as follows: 521. The W10 22 steel eam (Fy = 50 ksi) shown in the figure is only raced at the center of

More information

Column Design. Columns Axial Load and Bending

Column Design. Columns Axial Load and Bending Column Design MORGAN STATE UNIVERSITY SCHOOL OF ARCHITECTURE AND PLANNING LECTURE VI Dr. Jason E. Charalambides = = Columns Axial Load and Bending We tend to have this image of columns that we envision

More information

CE5510 Advanced Structural Concrete Design - Design & Detailing of Openings in RC Flexural Members-

CE5510 Advanced Structural Concrete Design - Design & Detailing of Openings in RC Flexural Members- CE5510 Advanced Structural Concrete Design - Design & Detailing Openings in RC Flexural Members- Assoc Pr Tan Kiang Hwee Department Civil Engineering National In this lecture DEPARTMENT OF CIVIL ENGINEERING

More information

Load Capacity Evaluation of Pennsylvania s Single Span T-Beam Bridges

Load Capacity Evaluation of Pennsylvania s Single Span T-Beam Bridges Presentation at 2003 TRB Meeting, Washington, D.C. UNIVERSITY Load Capacity Evaluation of Pennsylvania s Single Span T-Beam Bridges F. N. Catbas, A. E. Aktan, K. Ciloglu, O. Hasancebi, J. S. Popovics Drexel

More information

Lecture-03 Design of Reinforced Concrete Members for Flexure and Axial Loads

Lecture-03 Design of Reinforced Concrete Members for Flexure and Axial Loads Lecture-03 Design of Reinforced Concrete Members for Flexure and Axial Loads By: Prof. Dr. Qaisar Ali Civil Engineering Department UET Peshawar drqaisarali@uetpeshawar.edu.pk www.drqaisarali.com Prof.

More information

DL CMU wall = 51.0 (lb/ft 2 ) 0.7 (ft) DL beam = 2.5 (lb/ft 2 ) 18.0 (ft) 5

DL CMU wall = 51.0 (lb/ft 2 ) 0.7 (ft) DL beam = 2.5 (lb/ft 2 ) 18.0 (ft) 5 SUJECT: HEADER EAM SELECTION SHEET 108 of 131 INTERIOR HEADER EAM SELECTION - ay length = 36 ft. (stairwell) INTERIOR HEADER EAM Header eam 1 2 Total ay Length = 36 (ft) Total ay Width = 10 (ft) 20.5 Fill

More information

Beam Design - Trotin Project

Beam Design - Trotin Project Beam Design - Trotin Project 1. Beam Data Load Type: Uniform Dist. Load Support: Simple Beam Beam Type: Glulam Species: Western Species Grade: 24F-V4 1.8E DF/DF Size: 3.125 x 13.5 Design Span (L): 14.98

More information

1. ARRANGEMENT. a. Frame A1-P3. L 1 = 20 m H = 5.23 m L 2 = 20 m H 1 = 8.29 m L 3 = 20 m H 2 = 8.29 m H 3 = 8.39 m. b. Frame P3-P6

1. ARRANGEMENT. a. Frame A1-P3. L 1 = 20 m H = 5.23 m L 2 = 20 m H 1 = 8.29 m L 3 = 20 m H 2 = 8.29 m H 3 = 8.39 m. b. Frame P3-P6 Page 3 Page 4 Substructure Design. ARRANGEMENT a. Frame A-P3 L = 20 m H = 5.23 m L 2 = 20 m H = 8.29 m L 3 = 20 m H 2 = 8.29 m H 3 = 8.39 m b. Frame P3-P6 L = 25 m H 3 = 8.39 m L 2 = 3 m H 4 = 8.5 m L

More information

Chapter 8: Bending and Shear Stresses in Beams

Chapter 8: Bending and Shear Stresses in Beams Chapter 8: Bending and Shear Stresses in Beams Introduction One of the earliest studies concerned with the strength and deflection of beams was conducted by Galileo Galilei. Galileo was the first to discuss

More information

SERVICEABILITY OF BEAMS AND ONE-WAY SLABS

SERVICEABILITY OF BEAMS AND ONE-WAY SLABS CHAPTER REINFORCED CONCRETE Reinforced Concrete Design A Fundamental Approach - Fifth Edition Fifth Edition SERVICEABILITY OF BEAMS AND ONE-WAY SLABS A. J. Clark School of Engineering Department of Civil

More information

Problem 7.1 Determine the soil pressure distribution under the footing. Elevation. Plan. M 180 e 1.5 ft P 120. (a) B= L= 8 ft L e 1.5 ft 1.

Problem 7.1 Determine the soil pressure distribution under the footing. Elevation. Plan. M 180 e 1.5 ft P 120. (a) B= L= 8 ft L e 1.5 ft 1. Problem 7.1 Determine the soil pressure distribution under the footing. Elevation Plan M 180 e 1.5 ft P 10 (a) B= L= 8 ft L e 1.5 ft 1.33 ft 6 1 q q P 6 (P e) 180 6 (180) 4.9 kip/ft B L B L 8(8) 8 3 P

More information

CHAPTER 5. T a = 0.03 (180) 0.75 = 1.47 sec 5.12 Steel moment frame. h n = = 260 ft. T a = (260) 0.80 = 2.39 sec. Question No.

CHAPTER 5. T a = 0.03 (180) 0.75 = 1.47 sec 5.12 Steel moment frame. h n = = 260 ft. T a = (260) 0.80 = 2.39 sec. Question No. CHAPTER 5 Question Brief Explanation No. 5.1 From Fig. IBC 1613.5(3) and (4) enlarged region 1 (ASCE 7 Fig. -3 and -4) S S = 1.5g, and S 1 = 0.6g. The g term is already factored in the equations, thus

More information

SERVICEABILITY LIMIT STATE DESIGN

SERVICEABILITY LIMIT STATE DESIGN CHAPTER 11 SERVICEABILITY LIMIT STATE DESIGN Article 49. Cracking Limit State 49.1 General considerations In the case of verifications relating to Cracking Limit State, the effects of actions comprise

More information

Design Beam Flexural Reinforcement

Design Beam Flexural Reinforcement COPUTERS AND STRUCTURES, INC., BERKELEY, CALIFORNIA DECEBER 2001 CONCRETE FRAE DESIGN ACI-318-99 Technical Note This Technical Note describes how this program completes beam design when the ACI 318-99

More information

A Simply supported beam with a concentrated load at mid-span: Loading Stages

A Simply supported beam with a concentrated load at mid-span: Loading Stages A Simply supported beam with a concentrated load at mid-span: Loading Stages P L/2 L PL/4 MOMNT F b < 1 lastic F b = 2 lastic F b = 3 lastoplastic 4 F b = Plastic hinge Plastic Dr. M.. Haque, P.. (LRFD:

More information

Example Stayed beam with two pylons

Example Stayed beam with two pylons Example Stayed beam with two pylons A roof structure is a stayed beam. The roof span is 300 ft. Stay vertical run is 20 ft. The deck is weighs 12 PSF. Beams have a transverse spacing equal to 40 feet.

More information

NAME: Given Formulae: Law of Cosines: Law of Sines:

NAME: Given Formulae: Law of Cosines: Law of Sines: NME: Given Formulae: Law of Cosines: EXM 3 PST PROBLEMS (LESSONS 21 TO 28) 100 points Thursday, November 16, 2017, 7pm to 9:30, Room 200 You are allowed to use a calculator and drawing equipment, only.

More information

Beam Design - Pine Tree

Beam Design - Pine Tree - Pine Tree 1. Beam Data Load Type: Uniform Dist. Load Support: Simple Beam Beam Type: Sawn Lumber Species: Southern Pine Grade: SP DSS Size: 2 x 8 Design Span (L): 11.83 ft. Clear Span: 11.67 ft. Total

More information

TECHNICAL CORRECTION July Process Industry Practices Structural. PIP STE03360 Heat Exchanger and Horizontal Vessel Foundation Design Guide

TECHNICAL CORRECTION July Process Industry Practices Structural. PIP STE03360 Heat Exchanger and Horizontal Vessel Foundation Design Guide TECHNICAL CORRECTION July 2007 Structural Heat Exchanger and Horizontal Vessel Foundation Design Guide PURPOSE AND USE OF PROCESS INDUSTRY PRACTICES In an effort to minimize the cost of process industry

More information

SHEET PILE WALLS. Mehdi Mokhberi Islamic Azad University

SHEET PILE WALLS. Mehdi Mokhberi Islamic Azad University SHEET PILE WALLS Mehdi Mokhberi Islamic Azad University Lateral Support In geotechnical engineering, it is often necessary to prevent lateral soil movements. Tie rod Anchor Sheet pile Cantilever retaining

More information

Dr. Hazim Dwairi. Example: Continuous beam deflection

Dr. Hazim Dwairi. Example: Continuous beam deflection Example: Continuous beam deflection Analyze the short-term and ultimate long-term deflections of end-span of multi-span beam shown below. Ignore comp steel Beam spacing = 3000 mm b eff = 9000/4 = 2250

More information

DIVISION: METALS SECTION: STEEL DECKING SECTION: STEEL ROOF DECKING REPORT HOLDER: NEW MILLENNIUM BUILDING SYSTEMS, LLC

DIVISION: METALS SECTION: STEEL DECKING SECTION: STEEL ROOF DECKING REPORT HOLDER: NEW MILLENNIUM BUILDING SYSTEMS, LLC 0 Most Widely Accepted and Trusted ICC ES Report ICC ES 000 (800) 423 6587 (562) 699 0543 www.icc es.org ESR 2657 Reissued 05/2017 This report is subject to renewal 03/2018. DIVISION: 05 00 00 METALS SECTION:

More information

= 50 ksi. The maximum beam deflection Δ max is not = R B. = 30 kips. Notes for Strength of Materials, ET 200

= 50 ksi. The maximum beam deflection Δ max is not = R B. = 30 kips. Notes for Strength of Materials, ET 200 Notes for Strength of Materials, ET 00 Steel Six Easy Steps Steel beam design is about selecting the lightest steel beam that will support the load without exceeding the bending strength or shear strength

More information

Beam Design - Awning

Beam Design - Awning Beam Design - Awning 1. Beam Data Load Type: Uniform Dist. Load Support: Simple Beam Beam Type: Sawn Lumber Species: Douglas Fir-Larch Grade: DF No.2 Size: 4 x 12 Design Span (L): 21.50 ft. Clear Span:

More information

DISTRIBUTION OF STRESS IN GROUND-SUPPORTED SLABS

DISTRIBUTION OF STRESS IN GROUND-SUPPORTED SLABS Structural Concrete Software System TN207_sog_stresses_10 122005 DISTRIBUTION OF STRESS IN GROUND-SUPPORTED SLABS Bijan O Aalami 1 This Technical Note describes the distribution of stress in ground-supported

More information

MAXIMUM SUPERIMPOSED UNIFORM ASD LOADS, psf SINGLE SPAN DOUBLE SPAN TRIPLE SPAN GAGE

MAXIMUM SUPERIMPOSED UNIFORM ASD LOADS, psf SINGLE SPAN DOUBLE SPAN TRIPLE SPAN GAGE F-DEK ROOF (ASD) 1-1/2" high x 6" pitch x 36" wide SECTION PROPERTIES GAGE Wd 22 1.63 20 1.98 18 2.62 16 3.30 I D (DEFLECTION) 0.142 0.173 0.228 fy = 40 ksi Sp Sn 0.122 0.135 708 815 905 1211 1329 2365

More information

Sabah Shawkat Cabinet of Structural Engineering Walls carrying vertical loads should be designed as columns. Basically walls are designed in

Sabah Shawkat Cabinet of Structural Engineering Walls carrying vertical loads should be designed as columns. Basically walls are designed in Sabah Shawkat Cabinet of Structural Engineering 17 3.6 Shear walls Walls carrying vertical loads should be designed as columns. Basically walls are designed in the same manner as columns, but there are

More information

TORSION INCLUDING WARPING OF OPEN SECTIONS (I, C, Z, T AND L SHAPES)

TORSION INCLUDING WARPING OF OPEN SECTIONS (I, C, Z, T AND L SHAPES) Page1 TORSION INCLUDING WARPING OF OPEN SECTIONS (I, C, Z, T AND L SHAPES) Restrained warping for the torsion of thin-wall open sections is not included in most commonly used frame analysis programs. Almost

More information

Interaction Diagram Dumbbell Concrete Shear Wall Unsymmetrical Boundary Elements

Interaction Diagram Dumbbell Concrete Shear Wall Unsymmetrical Boundary Elements Interaction Diagram Dumbbell Concrete Shear Wall Unsymmetrical Boundary Elements Interaction Diagram - Dumbbell Concrete Shear Wall Unsymmetrical Boundary Elements Investigate the capacity for the irregular

More information

Nonlinear static (pushover) analysis will be performed on a railroad bridge bent using wframe to determine its ultimate lateral deflection capability.

Nonlinear static (pushover) analysis will be performed on a railroad bridge bent using wframe to determine its ultimate lateral deflection capability. DESCRIPTION Nonlinear static (pushover) analysis will be performed on a railroad bridge bent using wframe to determine its ultimate lateral deflection capability. Moment hinges are based on Caltrans material

More information

ALUMINUM STRUCTURAL PLATE HEADWALLS AASHTO LRFD BASIS OF DESIGN

ALUMINUM STRUCTURAL PLATE HEADWALLS AASHTO LRFD BASIS OF DESIGN ALUMINUM STRUCTURAL PLATE EADWALLS AASTO LRFD BASIS OF DESIGN LANE ENTERPRISES, INC. www.lane-enterprises.com Required Backfill and Load Cases: ALUMINUM STRUCTURAL PLATE EADWALLS BASIS OF DESIGN Backfill

More information

APRIL Conquering the FE & PE exams Formulas, Examples & Applications. Topics covered in this month s column:

APRIL Conquering the FE & PE exams Formulas, Examples & Applications. Topics covered in this month s column: APRIL 2015 DR. Z s CORNER Conquering the FE & PE exams Formulas, Examples & Applications Topics covered in this month s column: PE Exam Specifications (Geotechnical) Transportation (Horizontal Curves)

More information

Accordingly, the nominal section strength [resistance] for initiation of yielding is calculated by using Equation C-C3.1.

Accordingly, the nominal section strength [resistance] for initiation of yielding is calculated by using Equation C-C3.1. C3 Flexural Members C3.1 Bending The nominal flexural strength [moment resistance], Mn, shall be the smallest of the values calculated for the limit states of yielding, lateral-torsional buckling and distortional

More information

Job No. Sheet No. Rev. CONSULTING Engineering Calculation Sheet. Member Design - Steel Composite Beam XX 22/09/2016

Job No. Sheet No. Rev. CONSULTING Engineering Calculation Sheet. Member Design - Steel Composite Beam XX 22/09/2016 CONSULTING Engineering Calculation Sheet jxxx 1 Member Design - Steel Composite Beam XX Introduction Chd. 1 Grade 50 more common than Grade 43 because composite beam stiffness often 3 to 4 times non composite

More information

*Refer to IBC Section , applicable when fall protection is required. Glass stresses are designed for a safety factor of of 4.0 (IBC ).

*Refer to IBC Section , applicable when fall protection is required. Glass stresses are designed for a safety factor of of 4.0 (IBC ). Architectural Railing Division C.R.Laurence Co., Inc. 2503 E Vernon Ave. Los Angeles, CA 90058 (T) 800.421.6144 (F) 800.587.7501 www.crlaurence.com 12 JAN 2011 SUBJ: TAPER-LOC SYSTEM DRY-GLAZE LAMINATED

More information

Details of Check for Boundary Element Requirements

Details of Check for Boundary Element Requirements COMUTERS AND STRUCTURES, INC., BERKELEY, CALIFORNIA DECEMBER 2001 SHEAR WALL DESIGN UCB 97 Technical te Wall ier Bondary Elements This Technical te describes how the program considers the bondary element

More information

AB Engineering Manual

AB Engineering Manual AB Engineering Manual Allan Block Retaining Walls Excerptfrom theabengineeringmanualforretainingwals CHAPTER FIVE Seismic Analysis Introduction In seismic design we take a dynamic force and analyze it

More information

NICE-PACK ALCOHOL PREP ROOM PLATFORM CALCULATIONS

NICE-PACK ALCOHOL PREP ROOM PLATFORM CALCULATIONS DESIGN STATEMENT THIS GALVANISED STEEL PLATFORM IS ANALYSED USING THE ALLOWABLE STRESS DESIGN METHOD TO DETERMINE MATERIAL STRENGTH. MEMBER SIZES AND FASTENERS ARE CHOSEN NOT SO MUCH FOR THEIR STRENGTH

More information

Steel Cross Sections. Structural Steel Design

Steel Cross Sections. Structural Steel Design Steel Cross Sections Structural Steel Design PROPERTIES OF SECTIONS Perhaps the most important properties of a beam are the depth and shape of its cross section. There are many to choose from, and there

More information

STRUCTURAL ANALYSIS CHAPTER 2. Introduction

STRUCTURAL ANALYSIS CHAPTER 2. Introduction CHAPTER 2 STRUCTURAL ANALYSIS Introduction The primary purpose of structural analysis is to establish the distribution of internal forces and moments over the whole part of a structure and to identify

More information