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1 Spreadsheet Title: Last Revision 8/27/2005 ***All blue fields with double frames are used for input.*** by DesignSpreadsheets.com Project I-Girder Section Analysis and Design Spreadsheet Demo for DesignSpreadsheets.com Website Job No. Subject Spreadsheet Demo Sheet No. Made By Date Made Checked By Date Checked Comments Spreadsheet Instructions [ah..hey ca..][r..p c.i..t][.es.ct.ca..yo.as..s] Checks for marking relevant/nonrelevant calculations in the left column: 1. Positive / Negative Moment Region 2. Composite / Noncomposite Section 3. Compact / Noncompact Section (Local) Note: Factor 1.5 used for construction loads (Strength IV load combination - high dead load to live load ratio). Color Coding: [LIGHT BROWN shading] headings [CYAN shading] user's input [STRIPED CYAN shading] user's input that typically depends on other input (typically, these cells do not need to be changed) [YELLOW shading] important conclusions, values, etc. '' with green shading in very left column - relevant calculations for current input red '' in very left column - nonrelevant calculations for current input. '.' in very left column - calculations not considered in the current version of the spreadsheet but referenced for completeness Tab: ReadMe 1/2 printed 5/13/2008, 10:29 PM

2 [RED bold font] failed code check Disclaimer This spreadsheet was tested for reliability and accuracy by DesignSpreadsheets.com. However, it is entirely responsibility of the spreadsheet user to verify the applicability and accuracy of any results obtained from this spreadsheet. DesignSpreadsheets.com is not liable for any damages, direct or indirect, resulting from using this spreadsheet. Spreadsheet Revision History 4/11/2006 [ver ] First BridgeArt.net version. 4/14/2006 [ver ] Minor cosmetic revisions. Registration Unregistered Demo Version Registration Key??? Tab: ReadMe 2/2 printed 5/13/2008, 10:29 PM

3 Active Record Name Database of All Records 1 Girder 1 2 Girder 2 - Neg. Moment Region 3 Girder 3 - Pos. Moment Region 4 5 Girder 5 6 Girder 6 7 Girder 7 8 Girder 8 9 Girder Save To Database Upload From Database Hide NonRelevant Rows Show All Rows Select database record you want to upload and hit "Upload From Database" button. Save current input data to the database. The input data will be associated with active record name. Upload input data for active (selected) record. Upload input data for the previous or net record in the database. Add new names for records into the blue shaded fields. Hide non-relevant rows for current input (use e.g prior to printing). Show all rows Tab: Control Panel 1/1 printed 5/13/2008, 10:38 PM

4 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: INPUT OUTPUT - Sectional Properties (section transformed into steel) Girder Girder Only Composite (3n) Composite (n) Composite (rebar) b bf 18 in Girder A [in 2 ] b tf 18 in Girder y cg [in] t bf in Girder I z [in 4 ] t tf 1.75 in Haunch A [in 2 ] h w 51 in Haunch y cg [in] t w in Haunch I z [in 4 ] Deck A [in 2 ] Deck Deck y cg [in] b d in Deck I z [in 4 ] t d 8 in Rebar A A s in 2 Rebar y cg A s in 2 Rebar I z d 1 2 in Total A d 2 2 in Total y cg Total Iz Hauch y_topdeck(d) [in] b h 0 in y_topbar(c) [in] Section Properties about Weak Ais t h 0 in y_topgrd(b) [in] I y = in 4 y_botgrd(a) [in] S y[top FLANGE] = in 3 Modular ratio S_topdeck(d) [in 3 ] S y[bot FLANGE] = in 3 n 7.9 [-] S_topbar(c) [in 3 ] S_topgrd(b) [in 3 ] S_botgrd(a) [in 3 ] Comment Neutral Ais Check OK - neutral ais is within girder Tab: SectProps 1/1 printed 5/13/2008, 10:36 PM

5 Project: Subject: I-Girder Section Analysis and Design Spreadsheet Demo Spreadsheet Demo Checked By: Note: Stress sign convention for this sheet - compressive stresses are reported as negative, tensile stresses as positive (sign convention for moments - see sketch below). INPUT - Moments DC1 DC2 DW LL+I LL+I fat range LL+I permit SE kip-ft -230 kip-ft -308 kip-ft kip-ft -370 kip-ft kip-ft 0 kip-ft OUTPUT - Stresses Positive Moment Region (stress at the top of deck is reported as stress in concrete: f c =f s /n or f c =f s /(3n)) Load Acting on Grd Only Composite (3n) Composite (n) Load Type DC1 DC2 DW SE LL+I LL+I fat LL+I p Service II Strength I Strength II Fatigue topdeck(d) topbar(c) STRESS topgrd(b) botgrd(a) Negative Moment Region (stress at the top of deck is reported as stress in concrete using short-term composite section: f c =f s /n) Load Acting on Grd Only Composite (rebar) Load Type DC1 DC2 DW SE LL+I LL+I fat LL+I p Service II Strength I Strength II Fatigue topdeck(d) topbar(c) STRESS topgrd(b) botgrd(a) Moment [kip-ft] Tab: Stresses 1/1 printed 5/13/2008, 10:36 PM

6 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: Variable/Formula Value Units Comment AASHTO Page indicates that corresponding checks are applicable for section under consideration (based on user's input) BASIC INPUTS general NEG positive moment region (POS), negative moment region (NEG) COMPOSITE composite section (COMPOSITE), noncomposite section (NONCOMPOSITE) geometry t w = in web thickness b fc = in full width of compression flange t fc = in thickness of compression flange D = in web depth material properties E = 29,000 ksi steel Young's modulus F yf = 50.0 ksi specified minimum yield strenth of flange F yw = 50.0 ksi specified mininum yield stress of web F y,reinf = 60.0 ksi specified minimum yield strength of reinforcement F yc = 50.0 ksi specified minimum yield strength of compression flange F yt = 50.0 ksi specified minimum yield strength of tension flange F yr = 35.0 ksi compression flange stress at the onset of nominal yielding note: F yr = min (0.7F yc, F yw ), Fyr 0.5F yc effect of applied loads load factors [AASHTO ] 6-27 Ф f = 1.00 [-] resistance factor for fleure Ф v = 1.00 [-] resistance factor for shear slenderness ratios for local buckling resistance [AASHTO ] λ f = b fc / (2t fc ) = [-] slenderness ratio for compression flange λ pf = 0.38 sqrt (E/F yc ) = [-] limiting slenderness ratio for a compact flange λ rf = 0.56 sqrt (E/F yc ) = [-] limiting slenderness ratio for a noncompact flange reduction factors R h = [-] hybrid factor to account for reduced contribution of web to nominal fleural resistance at first yield in flange element; use 1.0 for girders with same steel strength for flange and web. NOT CONSIDERED:. R h = [12+β(3ρ-ρ 3 )] / [12+2β] =. β = 2D n t w / A fn =. ρ = min (F yw /f n, 1.0) = R b = [-] web load-shedding factor; accounts for increase in compression flange stress due to web local buckling R b = 1 - [a wc /( a wc )] [2D c /t w -λ rw ] = [-] λ rw = 5.7 sqrt(e/f yc ) = [-] limiting slenderness ratio for noncompact web a wc = 2D c t w /b fc t fc = [-] Tab: Detailed 1/8 printed 5/13/2008, 10:37 PM

7 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: Variable/Formula Value Units Comment AASHTO Page indicates that corresponding checks are applicable for section under consideration (based on user's input) Nominal Shear Resistance of Unstiffened Webs [AASHTO ] V n = V cr = CV p = 632 kip V n = nominal shear resistance, V cr = shear-buckling resistance V p = 0.58F yw Dt w = 924 kip plastic shear force C = [-] ratio of the shear buckling resistance to the shear yield strength if D/t w 1.12 sqrt (Ek/F yw ) then C = [-] if 1.12 sqrt (Ek/F yw ) < D/t w 1.40 sqrt (Ek/F yw ) then C = = 1.12 / (D/t w ) sqrt (Ek/F yw ) = [-] if D/t w > 1.40 sqrt (Ek/F yw ) then C = = 1.57 / (D/t w ) 2 (Ek/F yw ) = [-] note: D/t w = 81.6 [-] note: 1.12 sqrt (Ek/F yw ) = 60.3 [-] note: 1.40 sqrt (Ek/F yw ) = 75.4 [-] k = 5.0 [-] shear buckling coefficient (k=5 for unstiffened webs) Nominal Resistance of Stiffened Webs - Interior Panels [AASHTO ]. NOT CONSIDERED not considered, because current version of the spreadsheet handles only unstiffened webs.. Nominal Resistance of Stiffened Webs - End Panels [AASHTO ]. NOT CONSIDERED not considered, because current version of the spreadsheet handles only unstiffened webs CONSTRUCTIBILITY 6-86 Basic Inputs f bu[c] = 21.9 ksi stress in compression flange due to DC1 (no lateral bending), factored by 1.5 (Strength IV load combination) f bu[t] = 22.9 ksi stress in tension flange due to DC2 (no lateral bending), factored by 1.5 (Strength IV load combination) f l[c] = 10.0 ksi stress in compression flange due to lateral bending (wind, from eterior girder bracket during construction, etc.) f l[t] = 10.0 ksi stress in tension flange due to lateral bending V u = 96 kips factored shear in web, factored by 1.5 (Strength IV load combination) D c = in depth of web in compression in the elastic range 6-69 r t = b fc / sqrt{ 12 [1+(D c t w )/(3b fc t fc )] } = in effective radius of gyration for lateral torsional buckling C b = [-] moment gradient modifier (conservatively, use C b = ) unbraced lengths for lateral torsional buckling resistance [AASHTO ] L b = in unbraced length L p = 1.0 r t sqrt(e/f yc ) = in limiting unbraced length 1 (for compact) L r = π r t sqrt (E/F yr ) = in limiting unbraced length 2 (for noncompact) Compression Flange Fleural Resistance [AASHTO ] Tab: Detailed 2/8 printed 5/13/2008, 10:37 PM

8 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: Variable/Formula Value Units Comment AASHTO Page indicates that corresponding checks are applicable for section under consideration (based on user's input) F nc = min (F nc[1], F nc[2] ) = 43.1 ksi nominal fleural resistance of flange taken as smaller local buckling resistance and lateral torsional buckling resistance [AASHTO ] F nc[1] = 50.0 ksi local buckling resistance of the compression flange [AASHTO ] if λ f λ pf then F nc[1] = R b R h F yc = 50.0 ksi if λ f > λ pf then F nc[1] = = {1-[1-F yr /(R h F yc )][(λ f -λ pf )/(λ rf -λ pf )] } R b R h F yc = 63.6 ksi F nc[2] = 43.1 ksi lateral torsional buckling resistance of compression flange [AASHTO ] if L b L p then F nc[2] = R b R h F yc = 50.0 ksi if L p < L b L r then F nc[2] = = C b {1-[1-F yr /(R h F yc )][(L b -L p )/(L r -L p )]} R b R h F yc = 43.1 ksi note: F nc[2] R b R h F yc if L b > L r then F nc[2] = F cr = 96.1 ksi note: F nc[2] R b R h F yc F cr = C b R b π 2 E / (L b /r t ) 2 = 96.1 ksi F crw = min (F crw[1], F crw[2], F crw[3] ) = 50.0 ksi nominal bend buckling resistance for webs without longitudinal stiffeners [AASHTO ] F crw[1] = 0.9Ek / (D/t w ) 2 = ksi k = 9 / (D c /D) 2 = 37.9 [-] bend buckling coefficient F crw[2] = R h F yc = 50.0 ksi F crw[3] = F yw /0.7 = 71.4 ksi Fleure - Discretely Braced Flanges in Compression [AASHTO ] f bu + f l Ф f R h F yc OK f bu + f l = 31.9 ksi Ф f R h F yc = 50.0 ksi f bu + (1/3)f l Ф f F nc OK f bu + (1/3)f l = 25.3 ksi Ф f F nc = 43.1 ksi f bu Ф f F crw OK f bu = 21.9 ksi Ф f F crw = 50.0 ksi Fleure - Discretely Braced Flanges in Tension [AASHTO ] f bu + f l Ф f R h F yt OK f bu + f l = 32.9 ksi Ф f R h F yt = 50.0 ksi Fleure - Continously Braced Flanges in C or T; assumption that continously braced flange is not subject to local or lateral torsional buckling. f bu Ф f R h F yf. NOT CONSIDERED not considered, because no flanges are continously braced during constructruction Shear 6-90 V u Ф v V cr OK V u = 96 kips factored shear in the web V cr = 632 kips shear buckling resistance Stress in Concrete Deck [AASHTO ] 6-89 Tab: Detailed 3/8 printed 5/13/2008, 10:37 PM

9 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: Variable/Formula Value Units Comment AASHTO Page indicates that corresponding checks are applicable for section under consideration (based on user's input) Shall 1% longitudinal reinforcement be provided? YES If the actual tensile stress in concrete deck eceeds Φf r, to control cracking, the area of longitudinal reinforcement shall be at least 1% of the concrete deck area. [AASHTO ] σ c = (1/n) (M/S) = 1.2 ksi actual tensile stress in concrete deck M = 42,984 kip-in moment due to construction loads, DC1, factored by 1.5 (Strength IV load combination - high DL to LL ratio) [imported from Stresses tab] [AASHTO ] note: M = 3,582 kip-ft S = in 3 section modulus for top of deck using n = 1 (section transformed in steel) [imported from Stresses tab] Фf r = 0.0 ksi factored concrete tensile resistance Ф = [-] resistance factor for concrete in tension 5-53 f r = 0.24 sqrt (f c ') = 0.00 ksi modulus of rupture for concrete deck 5-16 [AASHTO ] f c ' = ksi specified compressive strength of concrete SERVICE LIMIT STATE [AASHTO ] 6-93 Basic Inputs f f[top] = 30.0 ksi stress in top flange for Service II load combination f f[bot] = 29.9 ksi stress in bottom flange for Service II load combination f l = 10.0 ksi Fleural Checks 6-93 f f 0.95R h F yf OK top steel flange of composite sections f f = 30.0 ksi 0.95R h F yf = 47.5 ksi f f + f l /2 0.95R h F yf OK bottom steel flange of composite sections f f + f l /2 = 34.9 ksi 0.95R h F yf = 47.5 ksi. f f + f l /2 0.80R h F yf both steel flanges of noncomposite sections. NOT CONSIDERED noncomposite sections are not considered in this version of the spreadsheet. f c F crw OK this check applies to all sections ecept for composite sections in positive fleure with web proportions such that D/t w 150 [AASHTO Eq ] f c = f l[top] = 30.0 ksi compression flange stress due to Service II loads F crw = 50.0 ksi nominal bend buckling resistance for webs [see "Strength Limit State" section below for the calculation of F crw ] [AASHTO ] Stress in Concrete Deck [AASHTO ] 6-89 Shall 1% longitudinal reinforcement be provided? YES If the actual tensile stress in concrete deck eceeds 6-75 Φf r, to control cracking, the area of longitudinal reinforcement shall be at least 1% of the concrete deck area. [AASHTO ] σ c = (1/n) (M/S) = 1.70 ksi actual tensile stress in concrete deck M = 59,323 kip-in moment due to Service II load combination [imported from Stresses tab] [AASHTO ] 6-75 Tab: Detailed 4/8 printed 5/13/2008, 10:37 PM

10 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: Variable/Formula Value Units Comment AASHTO Page indicates that corresponding checks are applicable for section under consideration (based on user's input) S = in 3 section modulus for top of deck using n = 1; section transformed in steel (same as for constructibility check above) Фf r = 0.0 ksi factored concrete tensile resistance (same as for constructibility check above) FATIGUE AND FRACTURE LIMIT STATES [AASHTO ] 6-95 fatigue detail description = tension flange fatigue detail category = C γ(δf) (ΔF) n OK 6-29 γ(δf) = 1.6 ksi live load stress range due to passage of fatigue load multiplied by load factor γ = 0.75 (ΔF) n = (A/N)^(1/3) = 5.0 ksi nominal fatigue resistance [AASHTO ] 6-40 A = ksi 3 constant from [AASHTO Tab ] 6-42 N = (365)(75)n(ADTT) SL = 232,687,500 n = 1 number of stress range cycles per truck passage taken from [AASHTO Tab ] (ADTT) SL = (p)(adtt) = 8,500 single lane ADTT (number of trucks per day in one 3-24 direction averaged over the design life) [AASHTO ] p = 0.85 reduction factor for number of trucks for multiple lanes taken from [AASHTO Tab ] ADTT = (ftt) (ADT) = 10,000 number of trucks per day in one direction averaged over the design life ftt = 0.25 fraction of trucks in traffic ADT = (nl) (ADT) SL = 40,000 average daily traffic per whole bridge (ADT) SL = 20,000 average daily traffic per single lane (20,000 is considered maimum) nl = 2 number of lanes note: (ΔF)n (1/2)(ΔF) TH = 5.0 ksi (ΔF) TH = ksi 3 constant amplitude fatigue threshold taken from [AASHTO Tab ]. special requirements for webs [AASHTO ] V u V cr. NOT CONDERED not considered, because this requirement does not need to be checked for unstiffened webs STRENGTH LIMIT STATE 6-96 Basic Inputs f bu[c] = 39.0 ksi stress in compression flange (no lateral bending) f bu[t] = 39.1 ksi stress in tension flange (no lateral bending) f l[c] = 10.0 ksi stress in compression flange due to lateral bending f l[t] = 10.0 ksi stress in tension flange due to lateral bending M u = 6,451 kip-ft bending moment about major ais note: M u = 77,406 kip-in V u = 389 kips factored shear in web D c = in depth of web in compression in the elastic range 6-69 D cp = in depth of web in compression at the plastic moment 6-68 Tab: Detailed 5/8 printed 5/13/2008, 10:37 PM

11 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: Variable/Formula Value Units Comment AASHTO Page indicates that corresponding checks are applicable for section under consideration (based on user's input) r t = b fc / sqrt{ 12 [1+(D c t w )/(3b fc t fc )] } = in effective radius of gyration for lateral torsional buckling C b = [-] moment gradient modifier (conservatively, use C b = 1.0) unbraced lengths for lateral torsional buckling resistance [AASHTO ] L b = in unbraced length L p = 1.0 r t sqrt (E/F yc ) = in limiting unbraced length 1 (for compact) L r = π r t sqrt (E/F yr ) = in limiting unbraced length 2 (for noncompact) Compression Flange Fleural Resistance [AASHTO ] F nc = min (F nc[1], F nc[2] ) = 43.1 ksi nominal fleural resistance of flange taken as smaller local buckling resistance and lateral torsional buckling resistance [AASHTO ] F nc[1] = 50.0 ksi local buckling resistance of the compression flange [AASHTO ], same as for constructibility - see calculations above F nc[2] = 43.1 ksi lateral torsional buckling resistance of compression flange [AASHTO ] if L b L p then F nc[2] = R b R h F yc = 50.0 ksi if L p < L b L r then F nc[2] = = C b {1-[1-F yr /(R h F yc )] [(L b -L p )/(L r -L p )]} R b R h F yc = 43.1 ksi if L b > L r then F nc[2] = F cr = C b R b π 2 E / (L b /r t ) 2 = 95.8 ksi note: F nc[2] R b R h F yc F crw = min (F crw[1], F crw[2], F crw[3] ) = 50.0 ksi nominal bend buckling resistance for webs without longitudinal stiffeners [AASHTO ] 6-67 F crw[1] = 0.9Ek / (D/t w ) 2 = ksi k = 9 / (D c /D) 2 = 36.2 [-] bend buckling coefficient F crw[2] = R h F yc = 50.0 ksi F crw[3] = F yw /0.7 = 71.4 ksi Composite Section in Positive Fleure Compact Section Criteria 6-98 COMPACT Compact/Noncompact (To qualify as compact, section must meet all the criteria listed below). Is F yf 70ksi satisfied? YES Is D/t w 150 satisfied? YES D/t w = 81.6 [-] Is 2D cp /t w 3.76 sqrt(e/f yc ) satisfied? YES 2D cp /t w = 0.0 [-] 3.76 sqrt(e/f yc ) = 90.6 [-] Fleural Resistance for Compact Section [AASHTO ] M u + 1/3f l S t Ф f M n OK M u + 1/3f l S t = 84,738 kip-in Ф f M n = 136,224 kip-in note: M n = 11,352 kip-ft S t = M yt /F yt = in 3 elastic section modulus about the major ais of the section to the tension flange M yt = 109,985 kip-in yield moment with respect to tension flange M n = 136,224 kip-in nominal fleural resistance of the section Tab: Detailed 6/8 printed 5/13/2008, 10:37 PM

12 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: Variable/Formula Value Units Comment AASHTO Page indicates that corresponding checks are applicable for section under consideration (based on user's input) note: M n = 11,352 kip-ft if D p 0.1 D t then M n = M p = 141,433 kip-in if D p > 0.1 D t then M n = M p ( D p /D t ) = 136,224 kip-in D t = in total depth of composite section [imported from Mp tab] D p = in distance from top of concrete deck to the neutral ais of composite section at plastic moment [imported from Mp tab] M p = 141,433 kip-in plastic moment of composite section [imported from Mp tab] note: M p = 11,786 kip-ft note: M n 1.3R h M y = 142,981 kip-in M y = 109,985 kip-in yield moment [import from My tab] note: M y = 9,165 kip-ft Fleural Resistance for Noncompact Section [AASHTO ] - Compression Flange Check f bu Ф f F nc OK f bu = 39.0 ksi Ф f F nc = 50.0 ksi F nc = R b R h F yc = 50.0 ksi nominal fleural resistance of compression flange - Tension Flange Check f bu + 1/3f l Ф f F nt OK f bu + 1/3f l = 42.4 ksi Ф f F nt = 50.0 ksi F nt = R h F yt = 50.0 ksi nominal fleural resistance of tension flange D p 0.42 D t OK D p = in 0.42 D t = in Ductility Requirement (For Both Compact and Noncompact Sections) Composite Sections in Negative Fleure and Noncomposite Sections Compact Section Criteria COMPACT Compact/Noncompact (To qualify as compact, section must meet all the criteria listed below). Is F yf 70ksi satisfied? YES Is 2D c /t w 5.7 sqrt(e/f yc ) satisfied? YES 2D c /t w = 81.4 [-] 5.7 sqrt(e/f yc ) = [-] Fleural Resistance - Discretely Braced Flanges in Compression [AASHTO ] f bu + (1/3)f l Ф f F nc OK f bu + (1/3)f l = 42.4 ksi Ф f F nc = 43.1 ksi. Fleural Resistance - Discretely Braced Flanges in Tension. f bu + (1/3)f l Ф f F nt. NOT CONSIDERED not considered, because the flanges in tension are continously braced by deck in the negative moment region for strength check Tab: Detailed 7/8 printed 5/13/2008, 10:37 PM

13 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: Variable/Formula Value Units Comment AASHTO Page indicates that corresponding checks are applicable for section under consideration (based on user's input) Fleural Resistance - Continously Braced Flanges in T or C f bu Ф f R h F yf OK f bu = 39.0 ksi Ф f R h F yf = 50.0 ksi Shear Resistance [AASHTO ] V u Ф v V n OK V u = 389 kip Ф v V n = 632 kip Tab: Detailed 8/8 printed 5/13/2008, 10:37 PM

14 Project: I-Girder Section Analysis and Design Spreadsheet Demo Note: sign convention for this sheet - all moments are reported as absolute values; negative "P" forces are compressive, positive "P" forces are tensile. Checked By: indicates that corresponding checks are applicable for section under consideration (based on user's input) DETERMINATION OF PLASTIC MOMENT Mp [AASHTO D6.1, p ] Input Taken from Other Tabs b bf = 18 in girder dimensions b tf = 18 in t bf = in t tf = 1.75 in h w = 51 in t w = in b d = in deck dimensions t d = 8 in t h = 0 in haunch dimensions Additional Input F yf = 50.0 ksi specified minimum yield stress of flange F yw = 50.0 ksi specified minimum yield stress of web F y,reinf = 60.0 ksi specified minimum yield stress of reinforcement f c ' = 4.0 ksi minimum specified 28-day compressive strength of concrete β 1 = [-] use β 1 = 1 to consider whole concrete block in compression Outputs - Positive Moment Region top coord bot coord Height Force Arm Moment to PNA [in] [in] [in] [kips] [in] [kip-in] Ps compression concrete Pc compression top flange Pc tension Pw compression web Pw tension Pt tension bottom flange Total y = D p = in distance of PNA from the top of section M p = 141,433 kip-in plastic moment note: M p = 11,786 kip-ft plastic moment D cp = in depth of web in compression at plastic moment D t = in total depth of composite section Outputs - Negative Moment Region bot coord top coord Height Force Arm Moment to PNA [in] [in] [in] [kips] [in] [kip-in] Pr reinforcement Pt tension top flange Pt compression Pw tension web Pw compression Pc compression bottom flange Tab: Mp 1/2 printed 5/13/2008, 10:39 PM

15 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: Note: sign convention for this sheet - all moments are reported as absolute values; negative "P" forces are compressive, positive "P" forces are tensile. indicates that corresponding checks are applicable for section under consideration (based on user's input) Total y = D p = in distance of PNA from the bottom of section M p = 112,274 kip-in plastic moment note: M p = 9,356 kip-ft plastic moment D cp = in depth of web in compression at plastic moment D t = in total depth of composite section Tab: Mp 2/2 printed 5/13/2008, 10:39 PM

16 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: indicates that corresponding checks are applicable for section under consideration (based on user's input) DETERMINATION OF YIELD MOMENT My (for strength check) [AASHTO D6.2, p ] Input general M D1 = 35,820 kip-in factored moment applied to noncomposite section (1.25 DC1) M D2 = 8,994 kip-in factored moment applied to longterm composite section (1.25 DC DW) note: M D1 = kip-ft note: M D2 = kip-ft f c = 39.0 ksi sum of compression flange stresses [import from Stresses tab, for Service II load group] f t = 39.1 ksi sum of tension flange stresses [import from Stresses tab, for Service I load group] F yf = 50.0 ksi specified minimum yield strength of flange F y,reinf = 60.0 ksi specified minimum yield strength of reinforcement Composite Section in Positive Fleure M Y = min (M Y[T], M Y[C] ) = 109,985 kip-in note: M Y = 9,165 kip-ft determine moment to cause yielding in tension (bottom) flange M Y[T] = M D1 + M D2 + M AD[T] = 109,985 kip-in M AD[T] = (F yf - M D1 /S NC[T] - M D2 /S LT[T] ) S ST[T] = 65,171 kip-in additional moment applied to short term composite section to cause nominal yielding in tension flange S NC[T] = 1,959.1 in 3 noncomposite section modulus S LT[T] = 2,189.0 in 3 short-term composite section modulus S ST[T] = 2,360.7 in 3 long-term composite section modulus determine moment to cause yielding in compression (top) flange M Y[C] = M D1 + M D2 + M AD[C] = 241,760 kip-in M AD[C] = (F yf - M D1 /S NC[C] - M D2 /S LT[C] ) S ST[C] = 196,946 kip-in S NC[C] = 1,878.9 in 3 S LT[C] = 3,435.9 in 3 S ST[C] = 6,954.7 in 3 D c = f c / ( f c +f t ) d - t fc = in depth of web in compression in the elastic range d = in depth of steel section t fc = in thickness of top flange Composite Section in Negative Fleure M Y = min (M Y[T1], M Y[T2], M Y[C] ) = 75,145 kip-in note: M Y = 6,262 kip-ft determine moment to cause yielding in tension (top) flange M Y[T1] = M D1 + M D2 + M AD[T1] = 100,163 kip-in Tab: My 1/3 printed 5/13/2008, 10:39 PM

17 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: indicates that corresponding checks are applicable for section under consideration (based on user's input) M AD[T1] = (F yf - M D1 /S NC[T1] - M D2 / COMP[T1] ) S COMP[T1] = 55,349 kip-in additional moment applied to short term composite section to cause nominal yielding in tension flange S NC[T1] = 1,878.9 in 3 noncomposite section modulus S COMP[T1] = S LT[T1] = S ST[T1] = 2,079.9 in 3 composite section modulus (concrete deck not effective) determine moment to cause yielding in reinforcement M Y[T2] = M D2 + M AD[T2] = 75,145 kip-in M AD[T2] = (F y,reinf - M D1 /S NC[T2] ) S COMP[T2] = 66,151 kip-in S COMP[T2] = S LT[T2] = S ST[T2] = 1,699.5 in 3 determine moment to cause yielding in compression (bottom) flange M Y[C] = M D1 + M D2 + M AD[C] = 99,403 kip-in M AD[C] = (F yf - M D1 /S NC[C] - M D2 /S COMP[C] ) S COM[C] = 54,589 kip-in S NC[C] = 1,959.1 in 3 S COMP[C] = S LT[C] = S ST[C] = 2,004.8 in 3 D c = f c / ( f c +f t ) d - t fc = in depth of web in compression in the elastic range d = in depth of steel section t bc = in thickness of bottom flange DETERMINATION OF YIELD MOMENT My (for constructibility check) [AASHTO D6.2, p ] Input f c = 14.6 ksi sum of compression flange stresses [import from Stresses tab, for DC1] f t = 15.3 ksi sum of tension flange stresses [import from Stresses tab, for DC1] F yf = 50.0 ksi specified minimum yield strength of flange Noncomposite Section in Positive Fleure M Y = min( S NC[T] F yf, S NC[C] F yf ) = 93,947 kip-in note: M Y = 7,829 kip-ft S NC[T] = 1,959.1 in 3 section modulus for tension flange S NC[C] = 1,878.9 in 3 section modulus for compression flange D c = f c / ( f c +f t ) d - t fc = in depth of web in compression in the elastic range d = in depth of steel section t fc = in thickness of top flange Noncomposite Section in Negative Fleure M Y = min( S NC[T] F yf, S NC[C] F yf ) = 93,947 kip-in note: M Y = 7,829 kip-ft S NC[T] = 1,878.9 in 3 section modulus for tension flange S NC[C] = 1,959.1 in 3 section modulus for compression flange D c = f c / ( f c +f t ) d - t fc = in depth of web in compression in the elastic range Tab: My 2/3 printed 5/13/2008, 10:39 PM

18 Project: I-Girder Section Analysis and Design Spreadsheet Demo Checked By: indicates that corresponding checks are applicable for section under consideration (based on user's input) d = in depth of steel section t bc = in thickness of bottom flange Tab: My 3/3 printed 5/13/2008, 10:39 PM