LOADING DATA BRIDGE GEOMETERY. STRINGER SIZE AND PROPERTIES & DESIGN VALUES: beam width b 8.5in WOOD ADJUSTMENT FACTORS - LRFD

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1 LOADING DATA 1 design_load = HL93 Strength_limit 1 wearing_surface 6in BRIDGE GEOMETERY 50 stringer_spacing 53in N L N b 6 roadway_width 4 deck_thickness 5in dia_spacing 1 brg_lgt 14in (number of lanes) (number of beams) STRINGER SIZE AND PROPERTIES & DESIGN ALUES: beam width b.5in Glulam Comb. 4F-3, Species SP (AASHTO Table ) beam depth d 44in bd bd 3 S x I 6 x A bd A 1 b bbrg_lgt S x 74.67in 3 I x in 4 A 374in A b 119in F bo.4 kip kip F vo F cpo.740 kip E o kip in in in in WOOD ADJUSTMENT FACTORS - LRFD Moisture Content Factor : LRFD Table C m_b 1 C m_v 1 Stringers are assumed to have an in-service moisture content of 16% or less. All Cm values except Fcp shall equal 1 olume Factor : LRFD b 1.5in C v 1in d 5.15in b C m_cp.53 C m_e 1 (note :widest board if staggered layup is used) C v 0.75 Time Effect Factor : LRFD C λ 0. Beam Stability Factor :LRFD.6. C L 1 Assume compression zone is completely supported Bearing Factor ; LRFD Table..3-1 C b 1

2 ADJUSTED DESIGN ALUES - LRFD Resistance factors - LRFD Table.5.. Conversion Factors : LRFD Table.4.4. ϕ m 0.5 ϕ v 0.75 ϕ cp C KFb C ϕ KFv C m ϕ KF_CP v ϕ cp Fb F bo C KFb C m_b C v C λ Fb 4.94ksi Fv F vo C KFv C m_v C λ Fv 0.576ksi Fcp F cpo C KF_CP C m_cp C λ Fcp 0.73ksi E E o C m_e E 100ksi FACTORED RESISTANCE Flexure M n FbS x C L M n 119. kip M r ϕ m M n M r 959.3kip Shear n Fv( bd) 1.5 n 143.6kip r ϕ v n r kip Compression P n FcpA b C b P n 7.1kip P r ϕ cp P n P r 7.41kip

3 3 INTERIOR STRINGER DESIGN : LRFD Table WT wood 50pcf WT asphalt 140pcf Dead load and Moments for Components (deck, stiff, dia & misc DL) Deck dl stringer_spacingdeck_thicknesswt wood Deck dl 0.09klf Stringer dl bd WT wood Stringer dl 0.13klf Misc dl.klf DC Deck dl Stringer dl Misc dl DC 0.4klf DC M DC M DC 131.4kip DC DC DCd DC 9kip Dead load and Moments for Asphalt Wearing Surface DW stringer_spacingwearing_surface WTasphalt DW 0.309klf DW M DW M DW 96.61kip DW DW DWd DW 6.6kip Maximim HL93 ehicle Moment : LRFD M C1 a s b s M C a s b s M C3 a s b s a s b s a s 14 a s kip 3kip if a s kip if a a s 0 s a s a s b s b s 14 kip if b s 14 0 b s a s b s a s 4 5kip 5kip if a s 4 0 a s a s 14 3kip 3kip if a s 14 0 a s

4 4 M max a s maxm C1 a s a s M C a s a s M C3 a s a s MMax LL for I 0.1 MMax M max () I if M max ( I.1) M max () I MMax LL 67.4kip M laneload.64 kip M laneload 00kip M_HL93 MMax LL M laneload M_HL93 7.4kip Distribution Factor LRFD Table SP stringer_spacing 1in SP One lane loaded g 1 10 g SP Two or more lanes loaded g 10 g 0.44 DF g 1 if g 1 g g otherwise DF 0.44 Dist_M LL M_HL93DF Dist_M LL kip Strength Limit States LRFD Table γ DC 1.5 γ DW 1.5 γ LL 1.75 LRFD Ductility η D 1.0 LRFD Redundancy η R 1.0 LRFD Operational Importance η I 1.0 LRFD η i η D η R η I if η D η R 0.95 otherwise η I 0.95 η i 1

5 5 FLEXURE CHECK Q flexure η i γ DC M DC γ DW M DW γ LL Dist_M LL Q flexure kip Flexure_check "OK" if M r Q flexure "RE-RUN" otherwise Flexure_check "OK" SHEAR CHECK Critical Section location for Live Load Shear : LRFD.7 "d" from support d 3.67 Maximum Shear Live Load placement 1 Dist if 3d 4 3d 1 4 Dist 11 1 C1 a s b s C a s b s 1 a s b s 14 b s 3kip 3kip if b s 14 0 kip if b b s 0 s b s a s b s 4 5kip 5kip if b s 4 0 b s max a s max C1 a s a s C a s a s Dist max_ll max max_ll 4.7kip _LaneLoad.64 kip d DF _LaneLoad 6.03kip _HL93 max_ll _LaneLoad _HL kip Horizontal Shear LRFD a-1 LL.5.6 max_ll DF max_ll LL.5kip

6 6 Q shear η i γ DC DC γ DW DW γ LL LL _LaneLoad Q shear kip Shear_Check "OK" if r Q shear "no good Re-run" otherwise Shear_Check "OK" EXTERIOR STRINGER DESIGN deck_overhang 3.5in Rail_Width 1in Dead load and Moments for Components (deck, stiff, dia, rail & misc DL) stringer_spacing Deck dle deck_overhang deck_thickness WT wood Deck dle 0.09klf Assume rail (misc DL) =. klf Misc dle.klf Stringer dl 0.13klf DCe Deck dle Stringer dl Misc dle DCe 0.4klf DCe M DCe M DCe 130.1kip DCe DCe DCed DCe.9kip Dead load and Moments for Asphalt Wearing Surface DWe stringer_spacing deck_overhang Rail_Width wearing_surface WT asphalt DWe M DWe DWe M DWe 0.klf 69.7kip DWe DWe DWed DWe 4.73kip Exterior Stringer Distribution : Lever Rule LRFD Table d-1 Lever Rule: L r L r 0.3

7 7 Rigid Section Rotation Check-Case 1 : one HS0 truck Multiple Presence Factor (one lane) LRFD Table DF c m 1 1. DF c DF ca L r m 1 if L r DF c1 otherwise DF c1 m Rigid Section Rotation Check-Case : two HS0 trucks Multiple Presence Factor (two lane) LRFD Table m 1 DF c ( 7 5) DF c 0.4 Distribution Factor exterior DF e DF ca if DF ca DF c DF c otherwise 0.47 Flexure Check - Exterior Stringer : Dist_M LLe M_HL93DF e Dist_M LLe kip Q flexure_ext η i γ DC M DCe γ DW M DWe γ LL Dist_M LLe Flexure_check e "OK" if M r Q flexure_ext "RE-RUN" otherwise Q flexure_ext kip Flexure_check e "OK" Shear Check - Exterior Stringer : Dist max_lle max max_lle 4.7kip _LaneLoad_e.64 kip d DF e _LaneLoad_e 6.44kip _HL93 e max_ll _LaneLoad _HL93 e 4.75kip LLe.5.6 max_lle DF e max_lle LLe.9kip

8 Q shear_ext η i γ DC DCe γ DW DWe γ LL LLe _LaneLoad_e Q shear_ext 69.54kip Shear_Check ext "OK" if r Q shear_ext "no good Re-run" otherwise Shear_Check ext "OK" STRINGER DEFLECTION : Live Load Deflection limited to L/45 LRFD MMax LL DF P EQ P EQ.1kip P EQ 3 Δ truck Δ 4EI truck 0.9in x DF5kip 4 Δ tandem 3 4 4EI x kip DF Δ lane_load 34EI x 4 Δ tandem Δ lane_load 0.91in 0.37in Δ tr Δ truck if Δ truck Δ tandem Δ tandem otherwise Δ tr 0.9in.5 Δ tr Δ tr Δ LL.5 Δ tr Δ lane_load if Δ lane_load Δ LL 0.9in Δ tr otherwise Δ LL_allow Δ 45 LL_allow 1.41in Δ ratio Δ LL Δ ratio Deflection_Check "Deflection is ok" if Δ LL_allow Δ LL "excessive deflection re-run" otherwise Deflection_Check "Deflection is ok"

9 9 CAMBER REQUIRED: Camber Timber Stringers two times dead load deflection LRFD.1.1 5DC ( DW) 4 Δ DLc Δ 34EI DLc 1.93in x 4Δ DLc Radius Radius Δ DLc BEARING CHECK : Maximum Shear reaction per lane at abutment _LaneLoad1.64 kip 0 br max _LaneLoad kip br N L stringer N stringer 4.5kip b DC DW Q cpo η i γ DC γ DW γ LL stringer Q cpo 6.7kip Bearing_Check "Bearing Check - OK" if P r Q cpo "no good Re-Run" otherwise Bearing_Check "Bearing Check - OK"

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