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STRUCTURAL CALCS - 23-00077 - BYUI Benson Headhouse - Roof
FROST Structural Engineering 1020 Lincoln Road Phone: 208.227.8404 Idaho Falls, ID 83401 Fax: 208.227.8405 www.frost-structural.com Project: BYU-I Benson Headhouse Roof Client: NBW Architects Project No.: IF22-175 Date: Engineer : SEAL: FSE November 17, 2022 STRUCTURAL CALCULATIONS BFB 11/17/2022 11/17/2022 1 of 27 Design Code: 2018 International Building Code Risk Category =III [see ASCE 7 Table 1.5-1] Roof Loads: single-ply membrane 1.0 shallow deck 1.6 HSS purlins 1.2 2" rigid insulation 0.4 0.0 mechanical/miscellaneous 3.8 DL =8.0 psf LL joist LL beam TL Roof Snow Load, SL =38.5 psf L/360 L/360 L/240 Roof Live Load, Lr =20 psf L/360 L/360 L/240 Snow Loads: per ASCE 7 Chapter 7 Importance Factor Is = 1.1 Importance Factor Pg =50 psf (ground snow load) Ce =0.9 exposure Factor Ct =1.1 thermal factor Snow, Pf = 0.70CeCt(Is)Pg =38.1 psf (FLAT Roof) unobstructed slippery surface (Y/N):N roof slope =6/12 roof angle =26.6 degrees Cs =1.00 slope factor Snow, Ps = CsPf =38.1 psf (SLOPED Roof) 0.3*Ps =11.4 psf (Unbalanced SLOPED Roof) Unbalanced Snow for Gable and Hip Roof, based on fetch length, W For roof slopes between 0.5/12 and 7/12 20 1.75 11.4 30 2.22 14.5 40 2.59 16.9 50 2.91 19.0 60 3.19 20.8 70 3.43 22.4 80 3.66 23.9 Design Gravity Loads deflection limits 14.6 18.6 21.7 24.3 26.7 28.7 30.6 W (ft)Hd Surcharge (psf) Length (ft) FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 2 of 27 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof <L i c e n s e d C o m p a n y > Br e t t SK - 1 No v 1 7 , 2 0 2 2 Jo i s t a n a l y s i s U S E D F O R C A L C . r 3 d JO I S T A N A L Y S I S W I T H C 6 x 8 . 2 C H A N N E L A D D E D A T T O P C H O R D S RE Q U I R E S S T I F F E N I N G RE Q U I R E S S T I F F E N I N G 11/17/2022 3 of 27 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof <L i c e n s e d C o m p a n y > Br e t t SK - 2 No v 1 7 , 2 0 2 2 Jo i s t a n a l y s i s U S E D F O R C A L C . r 3 d 11/17/2022 4 of 27 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof <L i c e n s e d C o m p a n y > Br e t t SK - 3 No v 1 7 , 2 0 2 2 Jo i s t a n a l y s i s U S E D F O R C A L C . r 3 d 11/17/2022 5 of 27 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof <L i c e n s e d C o m p a n y > Br e t t SK - 4 No v 1 7 , 2 0 2 2 Jo i s t a n a l y s i s U S E D F O R C A L C . r 3 d 11/17/2022 6 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 1 Node Coordinates Label X [ft] Y [ft] Z [ft] Detach From Diaphragm 1 N3 0.846706 -0.739547 0 2 N4 17.235027 1.176939 0 3 N28 -0.005076 0.087113 0 4 N29 17.873093 2.177826 0 5 N5 1.484771 0.261339 0 6 N6 2.974619 0.435565 0 7 N7 4.464466 0.609791 0 8 N8 5.954313 0.784017 0 9 N9 7.444161 0.958243 0 10 N10 8.934008 1.132469 0 11 N11 10.423856 1.306695 0 12 N12 11.913703 1.480921 0 13 N13 13.40355 1.655147 0 14 N14 14.893398 1.829373 0 15 N15 16.383245 2.0036 0 16 N16 2.336553 -0.565321 0 17 N17 3.826401 -0.391095 0 18 N18 5.316248 -0.216869 0 19 N19 6.806096 -0.042643 0 20 N20 8.295943 0.131583 0 21 N21 9.78579 0.305809 0 22 N22 11.275638 0.480035 0 23 N23 12.765485 0.654261 0 24 N24 14.255333 0.828487 0 25 N25 15.74518 1.002713 0 26 N26 -0.75 0 0 27 N27 18.618016 2.264939 0 28 N30 5.954313 0.867017 0 29 N31 -0.005076 0.170113 0 30 N32 1.484771 0.344339 0 31 N33 17.873093 2.260826 0 32 N34 2.974619 0.518565 0 33 N35 4.464466 0.692791 0 34 N36 7.444161 1.041243 0 35 N37 8.934008 1.215469 0 36 N38 14.893398 1.912373 0 37 N39 10.423856 1.389695 0 38 N40 11.913703 1.563921 0 39 N41 13.40355 1.738147 0 40 N42 16.383245 2.0866 0 41 N43 18.618016 2.347939 0 42 N44 -0.75 0.083 0 Node Boundary Conditions Node Label X [k/in] Y [k/in] Z [k/in] X Rot [k-ft/rad] 1 N26 Reaction Reaction Reaction 2 N27 Reaction Reaction Reaction 3 N5 Reaction 4 N14 Reaction 5 N13 Reaction FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 7 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 2 Node Boundary Conditions (Continued) Node Label X [k/in] Y [k/in] Z [k/in] X Rot [k-ft/rad] 6 N7 Reaction 7 N15 Reaction 8 N29 Reaction 9 N6 Reaction 10 N10 Reaction 11 N9 Reaction 12 N8 Reaction 13 N11 Reaction 14 N28 Reaction 15 N12 Reaction 16 N30 Reaction 17 N31 Reaction 18 N32 Reaction 19 N33 Reaction 20 N34 Reaction 21 N35 Reaction 22 N36 Reaction 23 N37 Reaction 24 N38 Reaction 25 N39 Reaction 26 N40 Reaction 27 N41 Reaction 28 N42 Reaction Hot Rolled Steel Properties Label E [ksi] G [ksi] Nu Therm. Coeff. [1e⁵°F⁻¹] Density [k/ft³] Yield [ksi] Ry Fu [ksi] Rt 1 A992 29000 11154 0.3 0.65 0.49 50 1.1 65 1.1 2 A36 Gr.36 29000 11154 0.3 0.65 0.49 36 1.5 58 1.2 3 A572 Gr.50 29000 11154 0.3 0.65 0.49 50 1.1 65 1.1 4 A500 Gr.B RND 29000 11154 0.3 0.65 0.527 42 1.4 58 1.3 5 A500 Gr.B Rect 29000 11154 0.3 0.65 0.527 46 1.4 58 1.3 6 A53 Gr.B 29000 11154 0.3 0.65 0.49 35 1.6 60 1.2 7 A1085 29000 11154 0.3 0.65 0.49 50 1.25 65 1.15 8 A913 Gr.65 29000 11154 0.3 0.65 0.49 65 1.1 80 1.1 Hot Rolled Steel Section Sets Label Shape Type Design List Material Design Rule Area [in²] Iyy [in⁴] Izz [in⁴] J [in⁴] 1 top chord LL1.25X1.25X2 Beam Double Angle (No Gap)A572 Gr.50 Typical 0.594 0.308 0.088 0.003 2 bottom chord LL1X1X2 Beam Double Angle (No Gap)A572 Gr.50 Typical 0.469 0.183 0.043 0.002 3 webs RB0.5 VBrace BAR A572 Gr.50 Typical 0.196 0.003 0.003 0.006 4 Channel C6X8.2 Beam Channel A992 Typical 2.39 0.687 13.1 0.074 Member Primary Data Label I Node J Node Rotate(deg) Section/Shape Type Design List Material Design Rule 1 M1 N26 N27 top chord Beam Double Angle (No Gap)A572 Gr.50 Typical 2 M2 N3 N4 180 bottom chord Beam Double Angle (No Gap)A572 Gr.50 Typical 3 M3 N28 N3 webs VBrace BAR A572 Gr.50 Typical 4 M5 N5 N16 webs VBrace BAR A572 Gr.50 Typical FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 8 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 3 Member Primary Data (Continued) Label I Node J Node Rotate(deg) Section/Shape Type Design List Material Design Rule 5 M4 N3 N5 webs VBrace BAR A572 Gr.50 Typical 6 M6 N16 N6 webs VBrace BAR A572 Gr.50 Typical 7 M7 N6 N17 webs VBrace BAR A572 Gr.50 Typical 8 M8 N17 N7 webs VBrace BAR A572 Gr.50 Typical 9 M9 N7 N18 webs VBrace BAR A572 Gr.50 Typical 10 M10 N18 N8 webs VBrace BAR A572 Gr.50 Typical 11 M11 N8 N19 webs VBrace BAR A572 Gr.50 Typical 12 M12 N19 N9 webs VBrace BAR A572 Gr.50 Typical 13 M13 N9 N20 webs VBrace BAR A572 Gr.50 Typical 14 M14 N20 N10 webs VBrace BAR A572 Gr.50 Typical 15 M15 N10 N21 webs VBrace BAR A572 Gr.50 Typical 16 M16 N21 N11 webs VBrace BAR A572 Gr.50 Typical 17 M17 N11 N22 webs VBrace BAR A572 Gr.50 Typical 18 M18 N22 N12 webs VBrace BAR A572 Gr.50 Typical 19 M19 N12 N23 webs VBrace BAR A572 Gr.50 Typical 20 M20 N23 N13 webs VBrace BAR A572 Gr.50 Typical 21 M21 N13 N24 webs VBrace BAR A572 Gr.50 Typical 22 M22 N24 N14 webs VBrace BAR A572 Gr.50 Typical 23 M23 N14 N25 webs VBrace BAR A572 Gr.50 Typical 24 M24 N25 N15 webs VBrace BAR A572 Gr.50 Typical 25 M26 N4 N29 webs VBrace BAR A572 Gr.50 Typical 26 M25 N15 N4 webs VBrace BAR A572 Gr.50 Typical 27 M27 N3 N26 webs VBrace BAR A572 Gr.50 Typical 28 M28 N4 N27 webs VBrace BAR A572 Gr.50 Typical 29 M29 N44 N43 Channel Beam Channel A992 Typical 30 M30 N28 N31 RIGID None None RIGID Typical 31 M31 N5 N32 RIGID None None RIGID Typical 32 M32 N6 N34 RIGID None None RIGID Typical 33 M33 N7 N35 RIGID None None RIGID Typical 34 M34 N8 N30 RIGID None None RIGID Typical 35 M35 N9 N36 RIGID None None RIGID Typical 36 M36 N10 N37 RIGID None None RIGID Typical 37 M37 N11 N39 RIGID None None RIGID Typical 38 M38 N12 N40 RIGID None None RIGID Typical 39 M39 N13 N41 RIGID None None RIGID Typical 40 M40 N14 N38 RIGID None None RIGID Typical 41 M41 N15 N42 RIGID None None RIGID Typical 42 M42 N29 N33 RIGID None None RIGID Typical 43 M71 N27 N43 RIGID None None RIGID Typical 44 M75 N26 N44 RIGID None None RIGID Typical Hot Rolled Steel Design Parameters Label Shape Length [ft] Lb y-y [ft] Lb z-z [ft] Lcomp top [ft] Channel Conn. a [ft] Function 1 M1 top chord 19.5 1.5 1.5 Lbyy N/A N/A Gravity 2 M2 bottom chord 16.5 Lbyy N/A N/A Gravity 3 M3 webs 1.187 Lbyy N/A N/A Lateral 4 M5 webs 1.187 Lbyy N/A N/A Lateral 5 M4 webs 1.187 0.5 0.5 Lbyy N/A N/A Lateral 6 M6 webs 1.187 Lbyy N/A N/A Lateral 7 M7 webs 1.187 Lbyy N/A N/A Lateral 8 M8 webs 1.187 Lbyy N/A N/A Lateral FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 9 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 4 Hot Rolled Steel Design Parameters (Continued) Label Shape Length [ft] Lb y-y [ft] Lb z-z [ft] Lcomp top [ft] Channel Conn. a [ft] Function 9 M9 webs 1.187 Lbyy N/A N/A Lateral 10 M10 webs 1.187 Lbyy N/A N/A Lateral 11 M11 webs 1.187 Lbyy N/A N/A Lateral 12 M12 webs 1.187 Lbyy N/A N/A Lateral 13 M13 webs 1.187 Lbyy N/A N/A Lateral 14 M14 webs 1.187 Lbyy N/A N/A Lateral 15 M15 webs 1.187 Lbyy N/A N/A Lateral 16 M16 webs 1.187 Lbyy N/A N/A Lateral 17 M17 webs 1.187 Lbyy N/A N/A Lateral 18 M18 webs 1.187 Lbyy N/A N/A Lateral 19 M19 webs 1.187 Lbyy N/A N/A Lateral 20 M20 webs 1.187 Lbyy N/A N/A Lateral 21 M21 webs 1.187 Lbyy N/A N/A Lateral 22 M22 webs 1.187 Lbyy N/A N/A Lateral 23 M23 webs 1.187 Lbyy N/A N/A Lateral 24 M24 webs 1.187 Lbyy N/A N/A Lateral 25 M26 webs 1.187 Lbyy N/A N/A Lateral 26 M25 webs 1.187 0.5 0.5 Lbyy N/A N/A Lateral 27 M27 webs 1.76 Lbyy N/A N/A Lateral 28 M28 webs 1.76 Lbyy N/A N/A Lateral 29 M29 Channel 19.5 1.5 1.5 Lbyy N/A N/A Gravity Member Distributed Loads (BLC 1 : dead) Member LabelDirectionStart Magnitude [k/ft, F, ksf, k-ft/ft]End Magnitude [k/ft, F, ksf, k-ft/ft]Start Location [(ft, %)]End Location [(ft, %)] 1 M29 Y -0.048 -0.048 0 %100 Member Distributed Loads (BLC 2 : snow) Member LabelDirectionStart Magnitude [k/ft, F, ksf, k-ft/ft]End Magnitude [k/ft, F, ksf, k-ft/ft]Start Location [(ft, %)]End Location [(ft, %)] 1 M29 Y -0.231 -0.231 0 %100 2 M29 Y 0 -0.017 16 %100 Load Combinations Description Solve P-Delta BLC Factor BLC Factor BLC Factor BLC Factor BLC Factor 1 Deflection 1 Y DL 1 2 Deflection 2 Y LL 1 3 Deflection 3 Y DL 1 LL 1 4 IBC 16-8 Yes Y DL 1 5 IBC 16-9 Yes Y DL 1 LL 1 LLS 1 6 IBC 16-10 (b)Yes Y DL 1 SL 1 SLN 1 7 IBC 16-11 (b)Yes Y DL 1 LL 0.75 LLS 0.75 SL 0.75 SLN 0.75 Envelope Node Reactions Node Label X [k] LC Y [k] LC Z [k] LC MX [k-ft] LC MY [k-ft]LC MZ [k-ft] LC 1 N26 max 0 7 2.843 6 0 7 0 7 0 7 0 7 2 min 0 4 0.591 4 0 4 0 4 0 4 0 4 3 N27 max 0 5 2.873 6 0 7 0 7 0 7 0 7 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 10 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 5 Envelope Node Reactions (Continued) Node Label X [k] LC Y [k] LC Z [k] LC MX [k-ft] LC MY [k-ft]LC MZ [k-ft] LC 4 min 0 6 0.591 4 0 4 0 4 0 4 0 4 5 N5 max 0 7 0 7 0 7 0 7 0 7 0 7 6 min 0 4 0 4 0 4 0 4 0 4 0 4 7 N14 max 0 7 0 7 0 7 0 7 0 7 0 7 8 min 0 4 0 4 0 4 0 4 0 4 0 4 9 N13 max 0 7 0 7 0 7 0 7 0 7 0 7 10 min 0 4 0 4 0 4 0 4 0 4 0 4 11 N7 max 0 7 0 7 0 7 0 7 0 7 0 7 12 min 0 4 0 4 0 4 0 4 0 4 0 4 13 N15 max 0 7 0 7 0 7 0 7 0 7 0 7 14 min 0 4 0 4 0 4 0 4 0 4 0 4 15 N29 max 0 7 0 7 0 7 0 7 0 7 0 7 16 min 0 4 0 4 0 4 0 4 0 4 0 4 17 N6 max 0 7 0 7 0 7 0 7 0 7 0 7 18 min 0 4 0 4 0 4 0 4 0 4 0 4 19 N10 max 0 7 0 7 0 7 0 7 0 7 0 7 20 min 0 4 0 4 0 4 0 4 0 4 0 4 21 N9 max 0 7 0 7 0 7 0 7 0 7 0 7 22 min 0 4 0 4 0 4 0 4 0 4 0 4 23 N8 max 0 7 0 7 0 7 0 7 0 7 0 7 24 min 0 4 0 4 0 4 0 4 0 4 0 4 25 N11 max 0 7 0 7 0 7 0 7 0 7 0 7 26 min 0 4 0 4 0 4 0 4 0 4 0 4 27 N28 max 0 7 0 7 0 7 0 7 0 7 0 7 28 min 0 4 0 4 0 4 0 4 0 4 0 4 29 N12 max 0 7 0 7 0 7 0 7 0 7 0 7 30 min 0 4 0 4 0 4 0 4 0 4 0 4 31 N30 max 0 7 0 7 0 7 0 7 0 7 0 7 32 min 0 4 0 4 0 4 0 4 0 4 0 4 33 N31 max 0 7 0 7 0 7 0 7 0 7 0 7 34 min 0 4 0 4 0 4 0 4 0 4 0 4 35 N32 max 0 7 0 7 0 7 0 7 0 7 0 7 36 min 0 4 0 4 0 4 0 4 0 4 0 4 37 N33 max 0 7 0 7 0 7 0 7 0 7 0 7 38 min 0 4 0 4 0 4 0 4 0 4 0 4 39 N34 max 0 7 0 7 0 7 0 7 0 7 0 7 40 min 0 4 0 4 0 4 0 4 0 4 0 4 41 N35 max 0 7 0 7 0 7 0 7 0 7 0 7 42 min 0 4 0 4 0 4 0 4 0 4 0 4 43 N36 max 0 7 0 7 0 7 0 7 0 7 0 7 44 min 0 4 0 4 0 4 0 4 0 4 0 4 45 N37 max 0 7 0 7 0 7 0 7 0 7 0 7 46 min 0 4 0 4 0 4 0 4 0 4 0 4 47 N38 max 0 7 0 7 0 7 0 7 0 7 0 7 48 min 0 4 0 4 0 4 0 4 0 4 0 4 49 N39 max 0 7 0 7 0 7 0 7 0 7 0 7 50 min 0 4 0 4 0 4 0 4 0 4 0 4 51 N40 max 0 7 0 7 0 7 0 7 0 7 0 7 52 min 0 4 0 4 0 4 0 4 0 4 0 4 53 N41 max 0 7 0 7 0 7 0 7 0 7 0 7 54 min 0 4 0 4 0 4 0 4 0 4 0 4 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 11 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 6 Envelope Node Reactions (Continued) Node Label X [k] LC Y [k] LC Z [k] LC MX [k-ft] LC MY [k-ft]LC MZ [k-ft] LC 55 N42 max 0 7 0 7 0 7 0 7 0 7 0 7 56 min 0 4 0 4 0 4 0 4 0 4 0 4 57 Totals:max 0 5 5.716 6 0 7 58 min 0 6 1.182 4 0 4 Envelope Maximum Member Section Forces Member Axial[k]Loc[ft]LCy Shear[k]Loc[ft]LCz Shear[k]Loc[ft]LCTorque[k-ft]Loc[ft]LCy-y Moment[k-ft] Loc[ft]LCz-z Moment[k-ft] Loc[ft]LC 1 M1 max 1.094 0 6 0.146 0 6 0 19.5 7 0 19.5 7 0 19.5 7 0.065 0 6 2 min -0.032 18.688 6 -0.14 19.5 6 0 0 4 0 0 4 0 0 4 -0.023 18.891 6 3 M2 max -0.931 0 5 0.009 16.5 6 0 16.5 7 0 16.5 7 0 16.5 7 0.009 8.25 6 4 min -11.057 8.937 6 -0.009 0 6 0 0 4 0 0 4 0 0 4 -0.003 16.5 6 5 M3 max -0.303 1.187 5 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0.002 1.187 6 6 min -1.454 0 6 -0.004 1.187 6 0 0 4 0 0 4 0 0 4 -0.002 0 6 7 M5 max -0.381 1.187 5 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0.002 1.187 6 8 min -1.822 0 6 -0.003 1.187 6 0 0 4 0 0 4 0 0 4 -0.002 0 6 9 M4 max 2.838 0 6 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0.001 1.187 6 10 min 0.588 1.187 4 -0.001 1.187 6 0 0 4 0 0 4 0 0 4 -0.001 0 6 11 M6 max 1.836 0 6 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0.001 1.187 6 12 min 0.379 1.187 4 -0.001 1.187 6 0 0 4 0 0 4 0 0 4 -0.001 0 6 13 M7 max -0.306 1.187 5 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0.001 1.187 6 14 min -1.458 0 6 -0.003 1.187 6 0 0 4 0 0 4 0 0 4 -0.002 0 6 15 M8 max 1.467 0 6 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0 1.187 5 16 min 0.301 1.187 4 0 1.187 6 0 0 4 0 0 4 0 0 4 0 0 6 17 M9 max -0.22 1.187 5 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0.001 1.187 6 18 min -1.043 0 6 -0.003 1.187 6 0 0 4 0 0 4 0 0 4 -0.002 0 6 19 M10 max 1.064 0 6 0 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0 0 5 20 min 0.217 1.187 4 0 1.187 4 0 0 4 0 0 4 0 0 4 0 1.187 6 21 M11 max -0.133 1.187 5 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0.001 1.187 6 22 min -0.622 0 6 -0.002 1.187 6 0 0 4 0 0 4 0 0 4 -0.001 0 6 23 M12 max 0.648 0 6 0.001 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0 0 6 24 min 0.13 1.187 4 0 1.187 4 0 0 4 0 0 4 0 0 4 -0.001 1.187 6 25 M13 max -0.045 1.187 5 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0.001 1.187 6 26 min -0.199 0 6 -0.002 1.187 6 0 0 4 0 0 4 0 0 4 -0.001 0 6 27 M14 max 0.229 0 6 0.002 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0 0 6 28 min 0.042 1.187 4 0 1.187 4 0 0 4 0 0 4 0 0 4 -0.001 1.187 6 29 M15 max 0.223 1.187 6 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0 1.187 6 30 min 0.042 0 4 -0.002 1.187 6 0 0 4 0 0 4 0 0 4 -0.001 0 6 31 M16 max -0.045 0 5 0.002 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0.001 0 6 32 min -0.193 1.187 6 0 1.187 4 0 0 4 0 0 4 0 0 4 -0.001 1.187 6 33 M17 max 0.642 1.187 6 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0 1.187 6 34 min 0.129 0 4 -0.001 1.187 6 0 0 4 0 0 4 0 0 4 -0.001 0 6 35 M18 max -0.132 0 5 0.002 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0.001 0 6 36 min -0.615 1.187 6 0 1.187 4 0 0 4 0 0 4 0 0 4 -0.001 1.187 6 37 M19 max 1.057 1.187 6 0 0 5 0 1.187 7 0 1.187 7 0 1.187 7 0 1.187 5 38 min 0.216 0 4 -0.001 1.187 6 0 0 4 0 0 4 0 0 4 0 0.099 6 39 M20 max -0.219 0 5 0.003 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0.001 0 6 40 min -1.036 1.187 6 0 1.187 4 0 0 4 0 0 4 0 0 4 -0.002 1.187 6 41 M21 max 1.459 1.187 6 0.001 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0 0 5 42 min 0.301 0 4 0 1.187 4 0 0 4 0 0 4 0 0 4 0 1.162 6 43 M22 max -0.305 0 5 0.003 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0.001 0 6 44 min -1.45 1.187 6 0 1.187 4 0 0 4 0 0 4 0 0 4 -0.002 1.187 6 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 12 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 7 Envelope Maximum Member Section Forces (Continued) Member Axial[k]Loc[ft]LCy Shear[k]Loc[ft]LCz Shear[k]Loc[ft]LCTorque[k-ft]Loc[ft]LCy-y Moment[k-ft] Loc[ft]LCz-z Moment[k-ft] Loc[ft]LC 45 M23 max 1.829 1.187 6 0.002 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0.001 0 6 46 min 0.378 0 4 0 1.187 4 0 0 4 0 0 4 0 0 4 -0.001 1.187 6 47 M24 max -0.38 0 5 0.003 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0.002 0 6 48 min -1.815 1.187 6 0 1.187 4 0 0 4 0 0 4 0 0 4 -0.002 1.187 6 49 M26 max -0.3 0 5 0.004 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0.002 0 6 50 min -1.444 1.187 6 0.001 1.187 4 0 0 4 0 0 4 0 0 4 -0.002 1.187 6 51 M25 max 2.86 1.187 6 0.001 0 6 0 1.187 7 0 1.187 7 0 1.187 7 0.001 0 6 52 min 0.591 0 4 0 1.187 4 0 0 4 0 0 4 0 0 4 -0.001 1.187 6 53 M27 max -0.431 0 5 0.001 0 6 0 1.76 7 0 1.76 7 0 1.76 7 0 0 6 54 min -2.076 1.76 6 -0.001 1.76 4 0 0 4 0 0 4 0 0 4 0 0.916 4 55 M28 max -0.439 0 5 0.001 0 6 0 1.76 7 0 1.76 7 0 1.76 7 0 0 6 56 min -2.125 1.76 6 0 1.76 4 0 0 4 0 0 4 0 0 4 0 1.191 6 57 M29 max 9.989 8.328 6 1.598 0 6 0 19.5 7 0 19.5 7 0 19.5 7 0 19.5 7 58 min 0.12 19.5 4 -1.6 19.5 6 0 0 4 0 0 4 0 0 4 -2.827 9.141 6 59 M30 max -0.16 0.083 5 -0.424 0.083 5 0 0.083 7 0 0.083 7 0 0.083 7 0.133 0.083 6 60 min -0.776 0 6 -2.037 0 6 0 0 4 0 0 4 0 0 4 -0.036 0 6 61 M31 max 1.043 0.083 6 -0.502 0.083 5 0 0.083 7 0 0.083 7 0 0.083 7 0.196 0.083 6 62 min 0.215 0 4 -2.409 0 6 0 0 4 0 0 4 0 0 4 -0.004 0 6 63 M32 max 0.495 0.083 6 -0.388 0.083 5 0 0.083 7 0 0.083 7 0 0.083 7 0.15 0.083 6 64 min 0.098 0 4 -1.864 0 6 0 0 4 0 0 4 0 0 4 -0.005 0 6 65 M33 max 0.482 0.083 6 -0.291 0.083 5 0 0.083 7 0 0.083 7 0 0.083 7 0.112 0.083 6 66 min 0.094 0 4 -1.397 0 6 0 0 4 0 0 4 0 0 4 -0.004 0 6 67 M34 max 0.446 0.083 6 -0.193 0.083 5 0 0.083 7 0 0.083 7 0 0.083 7 0.074 0.083 6 68 min 0.085 0 4 -0.924 0 6 0 0 4 0 0 4 0 0 4 -0.003 0 6 69 M35 max 0.399 0.083 6 -0.094 0.083 5 0 0.083 7 0 0.083 7 0 0.083 7 0.035 0.083 6 70 min 0.074 0 4 -0.448 0 6 0 0 4 0 0 4 0 0 4 -0.002 0 6 71 M36 max 0.345 0.083 6 0.028 0.083 6 0 0.083 7 0 0.083 7 0 0.083 7 0 0 5 72 min 0.062 0 4 0.005 0 4 0 0 4 0 0 4 0 0 4 -0.004 0.083 6 73 M37 max 0.287 0.083 6 0.503 0.083 6 0 0.083 7 0 0.083 7 0 0.083 7 0 0 5 74 min 0.05 0 4 0.105 0 4 0 0 4 0 0 4 0 0 4 -0.042 0.083 6 75 M38 max 0.223 0.083 6 0.978 0.083 6 0 0.083 7 0 0.083 7 0 0.083 7 0.001 0 6 76 min 0.038 0 4 0.203 0 4 0 0 4 0 0 4 0 0 4 -0.08 0.083 6 77 M39 max 0.149 0.083 6 1.446 0.083 6 0 0.083 7 0 0.083 7 0 0.083 7 0.002 0 6 78 min 0.025 0 4 0.301 0 4 0 0 4 0 0 4 0 0 4 -0.118 0.083 6 79 M40 max 0.056 0.083 6 1.906 0.083 6 0 0.083 7 0 0.083 7 0 0.083 7 0.003 0 6 80 min 0.007 0 4 0.397 0 4 0 0 4 0 0 4 0 0 4 -0.155 0.083 6 81 M41 max 0.481 0.083 6 2.571 0.083 6 0 0.083 7 0 0.083 7 0 0.083 7 0.003 0 6 82 min 0.096 0 4 0.535 0 4 0 0 4 0 0 4 0 0 4 -0.211 0.083 6 83 M42 max -0.251 0.083 5 1.709 0.083 6 0 0.083 7 0 0.083 7 0 0.083 7 0.035 0 6 84 min -1.207 0 6 0.355 0 4 0 0 4 0 0 4 0 0 4 -0.107 0.083 6 85 M71 max 1.515 0.083 6 0.742 0.083 6 0 0.083 7 0 0.083 7 0 0.083 7 0.062 0 6 86 min 0.31 0 4 0.156 0 4 0 0 4 0 0 4 0 0 4 0 0.083 6 87 M75 max 1.691 0.083 6 -0.166 0.083 5 0 0.083 7 0 0.083 7 0 0.083 7 0 0.083 7 88 min 0.351 0 4 -0.785 0 6 0 0 4 0 0 4 0 0 4 -0.065 0 6 Envelope Member Section Deflections - Service Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 1 M1 1 max 0.009 6 0 5 0 7 0 7 NC 7 NC 7 2 min 0.002 4 -0.001 6 0 4 0 4 NC 4 NC 4 3 2 max 0.007 6 -0.078 5 0 7 0 7 3016.967 5 NC 7 4 min 0.002 4 -0.374 6 0 4 0 4 627.142 6 NC 4 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 13 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 8 Envelope Member Section Deflections - Service (Continued) Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 5 3 max 0.004 6 -0.108 5 0 7 0 7 2162.923 5 NC 7 6 min 0.001 4 -0.521 6 0 4 0 4 449.546 6 NC 4 7 4 max 0.001 6 -0.078 5 0 7 0 7 3017.989 5 NC 7 8 min 0 4 -0.373 6 0 4 0 4 627.128 6 NC 4 9 5 max 0 7 0 7 0 7 0 7 NC 7 NC 7 10 min 0 4 0 4 0 4 0 4 NC 4 NC 4 11 M2 1 max -0.012 5 0.127 6 0 7 0 7 NC 7 NC 7 12 min -0.057 6 0.026 4 0 4 0 4 NC 4 NC 4 13 2 max -0.007 5 0.412 6 0 7 0 7 3339.768 5 NC 7 14 min -0.033 6 0.086 4 0 4 0 4 694.556 6 NC 4 15 3 max 0.004 6 0.518 6 0 7 0 7 2433.105 5 NC 7 16 min 0.001 4 0.108 4 0 4 0 4 506.013 6 NC 4 17 4 max 0.042 6 0.411 6 0 7 0 7 3340.991 5 NC 7 18 min 0.009 4 0.085 4 0 4 0 4 694.654 6 NC 4 19 5 max 0.066 6 0.126 6 0 7 0 7 NC 7 NC 7 20 min 0.014 4 0.026 4 0 4 0 4 NC 4 NC 4 21 M3 1 max 0.058 6 -0.008 5 0 7 0 7 NC 7 NC 7 22 min 0.012 4 -0.036 6 0 4 0 4 NC 4 NC 4 23 2 max 0.059 6 -0.012 5 0 7 0 7 NC 7 NC 7 24 min 0.012 4 -0.06 6 0 4 0 4 8795.665 6 NC 4 25 3 max 0.06 6 -0.017 5 0 7 0 7 NC 7 NC 7 26 min 0.013 4 -0.081 6 0 4 0 4 NC 4 NC 4 27 4 max 0.061 6 -0.021 5 0 7 0 7 NC 7 NC 7 28 min 0.013 4 -0.102 6 0 4 0 4 NC 4 NC 4 29 5 max 0.062 6 -0.026 5 0 7 0 7 NC 7 NC 7 30 min 0.013 4 -0.124 6 0 4 0 4 NC 4 NC 4 31 M5 1 max 0.154 6 -0.024 5 0 7 0 7 NC 7 NC 7 32 min 0.032 4 -0.115 6 0 4 0 4 NC 4 NC 4 33 2 max 0.155 6 -0.028 5 0 7 0 7 NC 7 NC 7 34 min 0.032 4 -0.136 6 0 4 0 4 NC 4 NC 4 35 3 max 0.157 6 -0.032 5 0 7 0 7 NC 7 NC 7 36 min 0.033 4 -0.156 6 0 4 0 4 NC 4 NC 4 37 4 max 0.158 6 -0.036 5 0 7 0 7 NC 7 NC 7 38 min 0.033 4 -0.175 6 0 4 0 4 NC 4 NC 4 39 5 max 0.159 6 -0.041 5 0 7 0 7 NC 7 NC 7 40 min 0.033 4 -0.196 6 0 4 0 4 NC 4 NC 4 41 M4 1 max -0.028 5 -0.008 5 0 7 0 7 NC 7 NC 7 42 min -0.134 6 -0.036 6 0 4 0 4 NC 4 NC 4 43 2 max -0.028 5 -0.012 5 0 7 0 7 NC 7 NC 7 44 min -0.136 6 -0.06 6 0 4 0 4 NC 4 NC 4 45 3 max -0.029 5 -0.017 5 0 7 0 7 NC 7 NC 7 46 min -0.139 6 -0.082 6 0 4 0 4 NC 4 NC 4 47 4 max -0.029 5 -0.022 5 0 7 0 7 NC 7 NC 7 48 min -0.141 6 -0.105 6 0 4 0 4 NC 4 NC 4 49 5 max -0.03 5 -0.027 5 0 7 0 7 NC 7 NC 7 50 min -0.143 6 -0.128 6 0 4 0 4 NC 4 NC 4 51 M6 1 max -0.047 5 -0.024 5 0 7 0 7 NC 7 NC 7 52 min -0.224 6 -0.117 6 0 4 0 4 NC 4 NC 4 53 2 max -0.047 5 -0.029 5 0 7 0 7 NC 7 NC 7 54 min -0.225 6 -0.138 6 0 4 0 4 NC 4 NC 4 55 3 max -0.047 5 -0.033 5 0 7 0 7 NC 7 NC 7 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 14 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 9 Envelope Member Section Deflections - Service (Continued) Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 56 min -0.227 6 -0.158 6 0 4 0 4 NC 4 NC 4 57 4 max -0.047 5 -0.037 5 0 7 0 7 NC 7 NC 7 58 min -0.228 6 -0.178 6 0 4 0 4 NC 4 NC 4 59 5 max -0.048 5 -0.041 5 0 7 0 7 NC 7 NC 7 60 min -0.23 6 -0.197 6 0 4 0 4 NC 4 NC 4 61 M7 1 max 0.239 6 -0.038 5 0 7 0 7 NC 7 NC 7 62 min 0.05 4 -0.185 6 0 4 0 4 NC 4 NC 4 63 2 max 0.241 6 -0.042 5 0 7 0 7 NC 7 NC 7 64 min 0.05 4 -0.204 6 0 4 0 4 8930.832 6 NC 4 65 3 max 0.242 6 -0.046 5 0 7 0 7 NC 7 NC 7 66 min 0.05 4 -0.22 6 0 4 0 4 NC 4 NC 4 67 4 max 0.243 6 -0.049 5 0 7 0 7 NC 7 NC 7 68 min 0.05 4 -0.236 6 0 4 0 4 NC 4 NC 4 69 5 max 0.244 6 -0.053 5 0 7 0 7 NC 7 NC 7 70 min 0.051 4 -0.253 6 0 4 0 4 NC 4 NC 4 71 M8 1 max -0.062 5 -0.039 5 0 7 0 7 NC 7 NC 7 72 min -0.297 6 -0.188 6 0 4 0 4 NC 4 NC 4 73 2 max -0.062 5 -0.043 5 0 7 0 7 NC 7 NC 7 74 min -0.298 6 -0.206 6 0 4 0 4 NC 4 NC 4 75 3 max -0.062 5 -0.046 5 0 7 0 7 NC 7 NC 7 76 min -0.299 6 -0.223 6 0 4 0 4 NC 4 NC 4 77 4 max -0.062 5 -0.05 5 0 7 0 7 NC 7 NC 7 78 min -0.3 6 -0.239 6 0 4 0 4 NC 4 NC 4 79 5 max -0.063 5 -0.053 5 0 7 0 7 NC 7 NC 7 80 min -0.302 6 -0.255 6 0 4 0 4 NC 4 NC 4 81 M9 1 max 0.311 6 -0.051 5 0 7 0 7 NC 7 NC 7 82 min 0.065 4 -0.244 6 0 4 0 4 NC 4 NC 4 83 2 max 0.311 6 -0.054 5 0 7 0 7 NC 7 NC 7 84 min 0.065 4 -0.258 6 0 4 0 4 8592.456 6 NC 4 85 3 max 0.312 6 -0.056 5 0 7 0 7 NC 7 NC 7 86 min 0.065 4 -0.271 6 0 4 0 4 NC 4 NC 4 87 4 max 0.313 6 -0.059 5 0 7 0 7 NC 7 NC 7 88 min 0.065 4 -0.283 6 0 4 0 4 NC 4 NC 4 89 5 max 0.314 6 -0.061 5 0 7 0 7 NC 7 NC 7 90 min 0.065 4 -0.295 6 0 4 0 4 NC 4 NC 4 91 M10 1 max -0.073 5 -0.052 5 0 7 0 7 NC 7 NC 7 92 min -0.352 6 -0.248 6 0 4 0 4 NC 4 NC 4 93 2 max -0.073 5 -0.054 5 0 7 0 7 NC 7 NC 7 94 min -0.353 6 -0.261 6 0 4 0 4 NC 4 NC 4 95 3 max -0.074 5 -0.057 5 0 7 0 7 NC 7 NC 7 96 min -0.354 6 -0.274 6 0 4 0 4 NC 4 NC 4 97 4 max -0.074 5 -0.06 5 0 7 0 7 NC 7 NC 7 98 min -0.355 6 -0.287 6 0 4 0 4 NC 4 NC 4 99 5 max -0.074 5 -0.062 5 0 7 0 7 NC 7 NC 7 100 min -0.356 6 -0.298 6 0 4 0 4 NC 4 NC 4 101 M11 1 max 0.364 6 -0.06 5 0 7 0 7 NC 7 NC 7 102 min 0.076 4 -0.288 6 0 4 0 4 NC 4 NC 4 103 2 max 0.364 6 -0.062 5 0 7 0 7 NC 7 NC 7 104 min 0.076 4 -0.298 6 0 4 0 4 8519.703 6 NC 4 105 3 max 0.365 6 -0.064 5 0 7 0 7 NC 7 NC 7 106 min 0.076 4 -0.306 6 0 4 0 4 NC 4 NC 4 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 15 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 10 Envelope Member Section Deflections - Service (Continued) Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 107 4 max 0.365 6 -0.065 5 0 7 0 7 NC 7 NC 7 108 min 0.076 4 -0.313 6 0 4 0 4 NC 4 NC 4 109 5 max 0.366 6 -0.067 5 0 7 0 7 NC 7 NC 7 110 min 0.076 4 -0.32 6 0 4 0 4 NC 4 NC 4 111 M12 1 max -0.081 5 -0.061 5 0 7 0 7 NC 7 NC 7 112 min -0.387 6 -0.294 6 0 4 0 4 NC 4 NC 4 113 2 max -0.081 5 -0.063 5 0 7 0 7 NC 7 NC 7 114 min -0.388 6 -0.302 6 0 4 0 4 NC 4 NC 4 115 3 max -0.081 5 -0.065 5 0 7 0 7 NC 7 NC 7 116 min -0.388 6 -0.31 6 0 4 0 4 9993.299 6 NC 4 117 4 max -0.081 5 -0.066 5 0 7 0 7 NC 7 NC 7 118 min -0.389 6 -0.318 6 0 4 0 4 NC 4 NC 4 119 5 max -0.081 5 -0.067 5 0 7 0 7 NC 7 NC 7 120 min -0.389 6 -0.324 6 0 4 0 4 NC 4 NC 4 121 M13 1 max 0.396 6 -0.066 5 0 7 0 7 NC 7 NC 7 122 min 0.082 4 -0.316 6 0 4 0 4 NC 4 NC 4 123 2 max 0.396 6 -0.067 5 0 7 0 7 NC 7 NC 7 124 min 0.082 4 -0.32 6 0 4 0 4 8840.053 6 NC 4 125 3 max 0.396 6 -0.067 5 0 7 0 7 NC 7 NC 7 126 min 0.082 4 -0.323 6 0 4 0 4 9799.827 6 NC 4 127 4 max 0.397 6 -0.068 5 0 7 0 7 NC 7 NC 7 128 min 0.082 4 -0.325 6 0 4 0 4 NC 4 NC 4 129 5 max 0.397 6 -0.068 5 0 7 0 7 NC 7 NC 7 130 min 0.082 4 -0.327 6 0 4 0 4 NC 4 NC 4 131 M14 1 max -0.083 5 -0.067 5 0 7 0 7 NC 7 NC 7 132 min -0.4 6 -0.323 6 0 4 0 4 NC 4 NC 4 133 2 max -0.083 5 -0.068 5 0 7 0 7 NC 7 NC 7 134 min -0.401 6 -0.326 6 0 4 0 4 NC 4 NC 4 135 3 max -0.083 5 -0.068 5 0 7 0 7 NC 7 NC 7 136 min -0.401 6 -0.329 6 0 4 0 4 9609.617 6 NC 4 137 4 max -0.083 5 -0.069 5 0 7 0 7 NC 7 NC 7 138 min -0.401 6 -0.332 6 0 4 0 4 9404.905 6 NC 4 139 5 max -0.083 5 -0.069 5 0 7 0 7 NC 7 NC 7 140 min -0.401 6 -0.333 6 0 4 0 4 NC 4 NC 4 141 M15 1 max 0.407 6 -0.068 5 0 7 0 7 NC 7 NC 7 142 min 0.085 4 -0.326 6 0 4 0 4 NC 4 NC 4 143 2 max 0.406 6 -0.068 5 0 7 0 7 NC 7 NC 7 144 min 0.084 4 -0.325 6 0 4 0 4 9581.489 6 NC 4 145 3 max 0.406 6 -0.067 5 0 7 0 7 NC 7 NC 7 146 min 0.084 4 -0.322 6 0 4 0 4 9736.743 6 NC 4 147 4 max 0.406 6 -0.066 5 0 7 0 7 NC 7 NC 7 148 min 0.084 4 -0.319 6 0 4 0 4 NC 4 NC 4 149 5 max 0.406 6 -0.066 5 0 7 0 7 NC 7 NC 7 150 min 0.084 4 -0.316 6 0 4 0 4 NC 4 NC 4 151 M16 1 max -0.081 5 -0.069 5 0 7 0 7 NC 7 NC 7 152 min -0.391 6 -0.334 6 0 4 0 4 NC 4 NC 4 153 2 max -0.081 5 -0.069 5 0 7 0 7 NC 7 NC 7 154 min -0.391 6 -0.332 6 0 4 0 4 NC 4 NC 4 155 3 max -0.081 5 -0.069 5 0 7 0 7 NC 7 NC 7 156 min -0.391 6 -0.33 6 0 4 0 4 9680.753 6 NC 4 157 4 max -0.081 5 -0.068 5 0 7 0 7 NC 7 NC 7 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 16 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 11 Envelope Member Section Deflections - Service (Continued) Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 158 min -0.391 6 -0.327 6 0 4 0 4 8692.545 6 NC 4 159 5 max -0.081 5 -0.067 5 0 7 0 7 NC 7 NC 7 160 min -0.391 6 -0.323 6 0 4 0 4 NC 4 NC 4 161 M17 1 max 0.395 6 -0.066 5 0 7 0 7 NC 7 NC 7 162 min 0.082 4 -0.317 6 0 4 0 4 NC 4 NC 4 163 2 max 0.394 6 -0.065 5 0 7 0 7 NC 7 NC 7 164 min 0.082 4 -0.311 6 0 4 0 4 NC 4 NC 4 165 3 max 0.394 6 -0.063 5 0 7 0 7 NC 7 NC 7 166 min 0.082 4 -0.303 6 0 4 0 4 NC 4 NC 4 167 4 max 0.393 6 -0.061 5 0 7 0 7 NC 7 NC 7 168 min 0.082 4 -0.295 6 0 4 0 4 NC 4 NC 4 169 5 max 0.393 6 -0.06 5 0 7 0 7 NC 7 NC 7 170 min 0.082 4 -0.287 6 0 4 0 4 NC 4 NC 4 171 M18 1 max -0.075 5 -0.068 5 0 7 0 7 NC 7 NC 7 172 min -0.36 6 -0.327 6 0 4 0 4 NC 4 NC 4 173 2 max -0.075 5 -0.066 5 0 7 0 7 NC 7 NC 7 174 min -0.359 6 -0.319 6 0 4 0 4 NC 4 NC 4 175 3 max -0.075 5 -0.065 5 0 7 0 7 NC 7 NC 7 176 min -0.359 6 -0.312 6 0 4 0 4 NC 4 NC 4 177 4 max -0.074 5 -0.063 5 0 7 0 7 NC 7 NC 7 178 min -0.358 6 -0.305 6 0 4 0 4 8394.191 6 NC 4 179 5 max -0.074 5 -0.061 5 0 7 0 7 NC 7 NC 7 180 min -0.358 6 -0.295 6 0 4 0 4 NC 4 NC 4 181 M19 1 max 0.361 6 -0.061 5 0 7 0 7 NC 7 NC 7 182 min 0.075 4 -0.291 6 0 4 0 4 NC 4 NC 4 183 2 max 0.36 6 -0.058 5 0 7 0 7 NC 7 NC 7 184 min 0.075 4 -0.28 6 0 4 0 4 NC 4 NC 4 185 3 max 0.359 6 -0.056 5 0 7 0 7 NC 7 NC 7 186 min 0.075 4 -0.267 6 0 4 0 4 NC 4 NC 4 187 4 max 0.358 6 -0.053 5 0 7 0 7 NC 7 NC 7 188 min 0.074 4 -0.254 6 0 4 0 4 NC 4 NC 4 189 5 max 0.358 6 -0.05 5 0 7 0 7 NC 7 NC 7 190 min 0.074 4 -0.241 6 0 4 0 4 NC 4 NC 4 191 M20 1 max -0.064 5 -0.063 5 0 7 0 7 NC 7 NC 7 192 min -0.308 6 -0.302 6 0 4 0 4 NC 4 NC 4 193 2 max -0.064 5 -0.06 5 0 7 0 7 NC 7 NC 7 194 min -0.307 6 -0.289 6 0 4 0 4 NC 4 NC 4 195 3 max -0.064 5 -0.058 5 0 7 0 7 NC 7 NC 7 196 min -0.306 6 -0.277 6 0 4 0 4 NC 4 NC 4 197 4 max -0.063 5 -0.055 5 0 7 0 7 NC 7 NC 7 198 min -0.306 6 -0.265 6 0 4 0 4 8485.608 6 NC 4 199 5 max -0.063 5 -0.052 5 0 7 0 7 NC 7 NC 7 200 min -0.305 6 -0.25 6 0 4 0 4 NC 4 NC 4 201 M21 1 max 0.307 6 -0.052 5 0 7 0 7 NC 7 NC 7 202 min 0.064 4 -0.248 6 0 4 0 4 NC 4 NC 4 203 2 max 0.306 6 -0.048 5 0 7 0 7 NC 7 NC 7 204 min 0.063 4 -0.232 6 0 4 0 4 NC 4 NC 4 205 3 max 0.304 6 -0.045 5 0 7 0 7 NC 7 NC 7 206 min 0.063 4 -0.216 6 0 4 0 4 NC 4 NC 4 207 4 max 0.303 6 -0.041 5 0 7 0 7 NC 7 NC 7 208 min 0.063 4 -0.199 6 0 4 0 4 NC 4 NC 4 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 17 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 12 Envelope Member Section Deflections - Service (Continued) Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 209 5 max 0.302 6 -0.038 5 0 7 0 7 NC 7 NC 7 210 min 0.063 4 -0.181 6 0 4 0 4 NC 4 NC 4 211 M22 1 max -0.049 5 -0.054 5 0 7 0 7 NC 7 NC 7 212 min -0.238 6 -0.259 6 0 4 0 4 NC 4 NC 4 213 2 max -0.049 5 -0.05 5 0 7 0 7 NC 7 NC 7 214 min -0.237 6 -0.243 6 0 4 0 4 NC 4 NC 4 215 3 max -0.049 5 -0.047 5 0 7 0 7 NC 7 NC 7 216 min -0.236 6 -0.227 6 0 4 0 4 NC 4 NC 4 217 4 max -0.049 5 -0.044 5 0 7 0 7 NC 7 NC 7 218 min -0.235 6 -0.21 6 0 4 0 4 8841.665 6 NC 4 219 5 max -0.049 5 -0.04 5 0 7 0 7 NC 7 NC 7 220 min -0.234 6 -0.192 6 0 4 0 4 NC 4 NC 4 221 M23 1 max 0.235 6 -0.039 5 0 7 0 7 NC 7 NC 7 222 min 0.049 4 -0.19 6 0 4 0 4 NC 4 NC 4 223 2 max 0.233 6 -0.035 5 0 7 0 7 NC 7 NC 7 224 min 0.048 4 -0.17 6 0 4 0 4 NC 4 NC 4 225 3 max 0.232 6 -0.031 5 0 7 0 7 NC 7 NC 7 226 min 0.048 4 -0.151 6 0 4 0 4 NC 4 NC 4 227 4 max 0.23 6 -0.027 5 0 7 0 7 NC 7 NC 7 228 min 0.048 4 -0.131 6 0 4 0 4 NC 4 NC 4 229 5 max 0.229 6 -0.023 5 0 7 0 7 NC 7 NC 7 230 min 0.048 4 -0.109 6 0 4 0 4 NC 4 NC 4 231 M24 1 max -0.032 5 -0.042 5 0 7 0 7 NC 7 NC 7 232 min -0.153 6 -0.202 6 0 4 0 4 NC 4 NC 4 233 2 max -0.032 5 -0.038 5 0 7 0 7 NC 7 NC 7 234 min -0.152 6 -0.181 6 0 4 0 4 NC 4 NC 4 235 3 max -0.031 5 -0.034 5 0 7 0 7 NC 7 NC 7 236 min -0.151 6 -0.162 6 0 4 0 4 NC 4 NC 4 237 4 max -0.031 5 -0.03 5 0 7 0 7 NC 7 NC 7 238 min -0.149 6 -0.143 6 0 4 0 4 NC 4 NC 4 239 5 max -0.031 5 -0.025 5 0 7 0 7 NC 7 NC 7 240 min -0.148 6 -0.121 6 0 4 0 4 NC 4 NC 4 241 M26 1 max -0.012 5 -0.027 5 0 7 0 7 NC 7 NC 7 242 min -0.056 6 -0.131 6 0 4 0 4 NC 4 NC 4 243 2 max -0.011 5 -0.022 5 0 7 0 7 NC 7 NC 7 244 min -0.055 6 -0.108 6 0 4 0 4 NC 4 NC 4 245 3 max -0.011 5 -0.018 5 0 7 0 7 NC 7 NC 7 246 min -0.054 6 -0.087 6 0 4 0 4 NC 4 NC 4 247 4 max -0.011 5 -0.014 5 0 7 0 7 NC 7 NC 7 248 min -0.053 6 -0.066 6 0 4 0 4 8622.397 6 NC 4 249 5 max -0.011 5 -0.009 5 0 7 0 7 NC 7 NC 7 250 min -0.052 6 -0.043 6 0 4 0 4 NC 4 NC 4 251 M25 1 max 0.148 6 -0.025 5 0 7 0 7 NC 7 NC 7 252 min 0.031 4 -0.12 6 0 4 0 4 NC 4 NC 4 253 2 max 0.146 6 -0.02 5 0 7 0 7 NC 7 NC 7 254 min 0.03 4 -0.097 6 0 4 0 4 NC 4 NC 4 255 3 max 0.144 6 -0.016 5 0 7 0 7 NC 7 NC 7 256 min 0.03 4 -0.075 6 0 4 0 4 NC 4 NC 4 257 4 max 0.142 6 -0.011 5 0 7 0 7 NC 7 NC 7 258 min 0.029 4 -0.052 6 0 4 0 4 NC 4 NC 4 259 5 max 0.139 6 -0.006 5 0 7 0 7 NC 7 NC 7 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 18 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 13 Envelope Member Section Deflections - Service (Continued) Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 260 min 0.029 4 -0.029 6 0 4 0 4 NC 4 NC 4 261 M27 1 max -0.004 5 -0.029 5 0 7 0 7 NC 7 NC 7 262 min -0.018 6 -0.138 6 0 4 0 4 NC 4 NC 4 263 2 max -0.003 5 -0.021 5 0 7 0 7 NC 7 NC 7 264 min -0.015 6 -0.102 6 0 4 0 4 NC 4 NC 4 265 3 max -0.003 5 -0.014 5 0 7 0 7 NC 7 NC 7 266 min -0.013 6 -0.067 6 0 4 0 4 NC 4 NC 4 267 4 max -0.002 5 -0.007 5 0 7 0 7 NC 7 NC 7 268 min -0.011 6 -0.032 6 0 4 0 4 NC 4 NC 4 269 5 max -0.002 5 0.004 6 0 7 0 7 NC 7 NC 7 270 min -0.008 6 0.001 4 0 4 0 4 NC 4 NC 4 271 M28 1 max -0.002 5 -0.029 5 0 7 0 7 NC 7 NC 7 272 min -0.01 6 -0.142 6 0 4 0 4 NC 4 NC 4 273 2 max -0.002 5 -0.022 5 0 7 0 7 NC 7 NC 7 274 min -0.007 6 -0.106 6 0 4 0 4 NC 4 NC 4 275 3 max -0.001 5 -0.015 5 0 7 0 7 NC 7 NC 7 276 min -0.005 6 -0.071 6 0 4 0 4 NC 4 NC 4 277 4 max -0.001 5 -0.008 5 0 7 0 7 NC 7 NC 7 278 min -0.002 6 -0.036 6 0 4 0 4 NC 4 NC 4 279 5 max 0 7 0 7 0 7 0 7 NC 7 NC 7 280 min 0 4 0 4 0 4 0 4 NC 4 NC 4 281 M29 1 max 0.016 6 0 5 0 7 0 7 NC 7 NC 7 282 min 0.003 4 -0.002 6 0 4 0 4 NC 4 NC 4 283 2 max 0.012 6 -0.078 5 0 7 0 7 3016.479 5 NC 7 284 min 0.003 4 -0.374 6 0 4 0 4 626.975 6 NC 4 285 3 max 0.004 6 -0.108 5 0 7 0 7 2162.914 5 NC 7 286 min 0.001 4 -0.521 6 0 4 0 4 449.544 6 NC 4 287 4 max -0.001 5 -0.077 5 0 7 0 7 3019.939 5 NC 7 288 min -0.003 6 -0.373 6 0 4 0 4 627.465 6 NC 4 289 5 max -0.001 5 0.001 6 0 7 0 7 NC 7 NC 7 290 min -0.007 6 0 4 0 4 0 4 NC 4 NC 4 291 M30 1 max -0.014 5 -0.003 5 0 7 0 7 NC 7 NC 7 292 min -0.066 6 -0.016 6 0 4 0 4 NC 4 NC 4 293 2 max -0.014 5 -0.004 5 0 7 0 7 NC 7 NC 7 294 min -0.066 6 -0.018 6 0 4 0 4 NC 4 NC 4 295 3 max -0.014 5 -0.004 5 0 7 0 7 NC 7 NC 7 296 min -0.066 6 -0.02 6 0 4 0 4 NC 4 NC 4 297 4 max -0.014 5 -0.005 5 0 7 0 7 NC 7 NC 7 298 min -0.066 6 -0.022 6 0 4 0 4 NC 4 NC 4 299 5 max -0.014 5 -0.005 5 0 7 0 7 NC 7 NC 7 300 min -0.066 6 -0.023 6 0 4 0 4 NC 4 NC 4 301 M31 1 max -0.039 5 -0.006 5 0 7 0 7 NC 7 NC 7 302 min -0.189 6 -0.031 6 0 4 0 4 NC 4 NC 4 303 2 max -0.039 5 -0.007 5 0 7 0 7 NC 7 NC 7 304 min -0.189 6 -0.032 6 0 4 0 4 NC 4 NC 4 305 3 max -0.039 5 -0.007 5 0 7 0 7 NC 7 NC 7 306 min -0.189 6 -0.034 6 0 4 0 4 NC 4 NC 4 307 4 max -0.039 5 -0.007 5 0 7 0 7 NC 7 NC 7 308 min -0.189 6 -0.035 6 0 4 0 4 NC 4 NC 4 309 5 max -0.039 5 -0.008 5 0 7 0 7 NC 7 NC 7 310 min -0.189 6 -0.037 6 0 4 0 4 NC 4 NC 4 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 19 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 14 Envelope Member Section Deflections - Service (Continued) Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 311 M32 1 max -0.062 5 -0.009 5 0 7 0 7 NC 7 NC 7 312 min -0.3 6 -0.043 6 0 4 0 4 NC 4 NC 4 313 2 max -0.062 5 -0.009 5 0 7 0 7 NC 7 NC 7 314 min -0.3 6 -0.044 6 0 4 0 4 NC 4 NC 4 315 3 max -0.062 5 -0.01 5 0 7 0 7 NC 7 NC 7 316 min -0.3 6 -0.046 6 0 4 0 4 NC 4 NC 4 317 4 max -0.062 5 -0.01 5 0 7 0 7 NC 7 NC 7 318 min -0.3 6 -0.047 6 0 4 0 4 NC 4 NC 4 319 5 max -0.062 5 -0.01 5 0 7 0 7 NC 7 NC 7 320 min -0.3 6 -0.049 6 0 4 0 4 NC 4 NC 4 321 M33 1 max -0.081 5 -0.011 5 0 7 0 7 NC 7 NC 7 322 min -0.391 6 -0.053 6 0 4 0 4 NC 4 NC 4 323 2 max -0.081 5 -0.011 5 0 7 0 7 NC 7 NC 7 324 min -0.391 6 -0.054 6 0 4 0 4 NC 4 NC 4 325 3 max -0.081 5 -0.011 5 0 7 0 7 NC 7 NC 7 326 min -0.391 6 -0.055 6 0 4 0 4 NC 4 NC 4 327 4 max -0.081 5 -0.012 5 0 7 0 7 NC 7 NC 7 328 min -0.391 6 -0.056 6 0 4 0 4 NC 4 NC 4 329 5 max -0.081 5 -0.012 5 0 7 0 7 NC 7 NC 7 330 min -0.391 6 -0.057 6 0 4 0 4 NC 4 NC 4 331 M34 1 max -0.096 5 -0.013 5 0 7 0 7 NC 7 NC 7 332 min -0.46 6 -0.06 6 0 4 0 4 NC 4 NC 4 333 2 max -0.096 5 -0.013 5 0 7 0 7 NC 7 NC 7 334 min -0.46 6 -0.061 6 0 4 0 4 NC 4 NC 4 335 3 max -0.096 5 -0.013 5 0 7 0 7 NC 7 NC 7 336 min -0.46 6 -0.062 6 0 4 0 4 NC 4 NC 4 337 4 max -0.096 5 -0.013 5 0 7 0 7 NC 7 NC 7 338 min -0.46 6 -0.062 6 0 4 0 4 NC 4 NC 4 339 5 max -0.096 5 -0.013 5 0 7 0 7 NC 7 NC 7 340 min -0.46 6 -0.063 6 0 4 0 4 NC 4 NC 4 341 M35 1 max -0.104 5 -0.013 5 0 7 0 7 NC 7 NC 7 342 min -0.503 6 -0.064 6 0 4 0 4 NC 4 NC 4 343 2 max -0.104 5 -0.013 5 0 7 0 7 NC 7 NC 7 344 min -0.503 6 -0.065 6 0 4 0 4 NC 4 NC 4 345 3 max -0.104 5 -0.013 5 0 7 0 7 NC 7 NC 7 346 min -0.503 6 -0.065 6 0 4 0 4 NC 4 NC 4 347 4 max -0.104 5 -0.014 5 0 7 0 7 NC 7 NC 7 348 min -0.503 6 -0.065 6 0 4 0 4 NC 4 NC 4 349 5 max -0.104 5 -0.014 5 0 7 0 7 NC 7 NC 7 350 min -0.503 6 -0.066 6 0 4 0 4 NC 4 NC 4 351 M36 1 max -0.107 5 -0.013 5 0 7 0 7 NC 7 NC 7 352 min -0.517 6 -0.065 6 0 4 0 4 NC 4 NC 4 353 2 max -0.107 5 -0.013 5 0 7 0 7 NC 7 NC 7 354 min -0.517 6 -0.065 6 0 4 0 4 NC 4 NC 4 355 3 max -0.107 5 -0.013 5 0 7 0 7 NC 7 NC 7 356 min -0.517 6 -0.065 6 0 4 0 4 NC 4 NC 4 357 4 max -0.107 5 -0.013 5 0 7 0 7 NC 7 NC 7 358 min -0.517 6 -0.065 6 0 4 0 4 NC 4 NC 4 359 5 max -0.107 5 -0.013 5 0 7 0 7 NC 7 NC 7 360 min -0.517 6 -0.065 6 0 4 0 4 NC 4 NC 4 361 M37 1 max -0.104 5 -0.013 5 0 7 0 7 NC 7 NC 7 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 20 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 15 Envelope Member Section Deflections - Service (Continued) Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 362 min -0.503 6 -0.062 6 0 4 0 4 NC 4 NC 4 363 2 max -0.104 5 -0.013 5 0 7 0 7 NC 7 NC 7 364 min -0.503 6 -0.062 6 0 4 0 4 NC 4 NC 4 365 3 max -0.104 5 -0.013 5 0 7 0 7 NC 7 NC 7 366 min -0.503 6 -0.061 6 0 4 0 4 NC 4 NC 4 367 4 max -0.104 5 -0.013 5 0 7 0 7 NC 7 NC 7 368 min -0.503 6 -0.061 6 0 4 0 4 NC 4 NC 4 369 5 max -0.104 5 -0.013 5 0 7 0 7 NC 7 NC 7 370 min -0.503 6 -0.061 6 0 4 0 4 NC 4 NC 4 371 M38 1 max -0.096 5 -0.012 5 0 7 0 7 NC 7 NC 7 372 min -0.46 6 -0.056 6 0 4 0 4 NC 4 NC 4 373 2 max -0.096 5 -0.012 5 0 7 0 7 NC 7 NC 7 374 min -0.46 6 -0.055 6 0 4 0 4 NC 4 NC 4 375 3 max -0.096 5 -0.011 5 0 7 0 7 NC 7 NC 7 376 min -0.46 6 -0.055 6 0 4 0 4 NC 4 NC 4 377 4 max -0.096 5 -0.011 5 0 7 0 7 NC 7 NC 7 378 min -0.46 6 -0.054 6 0 4 0 4 NC 4 NC 4 379 5 max -0.096 5 -0.011 5 0 7 0 7 NC 7 NC 7 380 min -0.46 6 -0.053 6 0 4 0 4 NC 4 NC 4 381 M39 1 max -0.081 5 -0.01 5 0 7 0 7 NC 7 NC 7 382 min -0.392 6 -0.047 6 0 4 0 4 NC 4 NC 4 383 2 max -0.081 5 -0.01 5 0 7 0 7 NC 7 NC 7 384 min -0.392 6 -0.046 6 0 4 0 4 NC 4 NC 4 385 3 max -0.081 5 -0.009 5 0 7 0 7 NC 7 NC 7 386 min -0.392 6 -0.045 6 0 4 0 4 NC 4 NC 4 387 4 max -0.081 5 -0.009 5 0 7 0 7 NC 7 NC 7 388 min -0.392 6 -0.044 6 0 4 0 4 NC 4 NC 4 389 5 max -0.081 5 -0.009 5 0 7 0 7 NC 7 NC 7 390 min -0.392 6 -0.043 6 0 4 0 4 NC 4 NC 4 391 M40 1 max -0.062 5 -0.007 5 0 7 0 7 NC 7 NC 7 392 min -0.3 6 -0.036 6 0 4 0 4 NC 4 NC 4 393 2 max -0.062 5 -0.007 5 0 7 0 7 NC 7 NC 7 394 min -0.3 6 -0.035 6 0 4 0 4 NC 4 NC 4 395 3 max -0.062 5 -0.007 5 0 7 0 7 NC 7 NC 7 396 min -0.3 6 -0.033 6 0 4 0 4 NC 4 NC 4 397 4 max -0.062 5 -0.007 5 0 7 0 7 NC 7 NC 7 398 min -0.3 6 -0.032 6 0 4 0 4 NC 4 NC 4 399 5 max -0.062 5 -0.006 5 0 7 0 7 NC 7 NC 7 400 min -0.3 6 -0.03 6 0 4 0 4 NC 4 NC 4 401 M41 1 max -0.039 5 -0.005 5 0 7 0 7 NC 7 NC 7 402 min -0.19 6 -0.023 6 0 4 0 4 NC 4 NC 4 403 2 max -0.039 5 -0.004 5 0 7 0 7 NC 7 NC 7 404 min -0.19 6 -0.021 6 0 4 0 4 NC 4 NC 4 405 3 max -0.039 5 -0.004 5 0 7 0 7 NC 7 NC 7 406 min -0.19 6 -0.019 6 0 4 0 4 NC 4 NC 4 407 4 max -0.039 5 -0.004 5 0 7 0 7 NC 7 NC 7 408 min -0.19 6 -0.018 6 0 4 0 4 NC 4 NC 4 409 5 max -0.039 5 -0.003 5 0 7 0 7 NC 7 NC 7 410 min -0.19 6 -0.016 6 0 4 0 4 NC 4 NC 4 411 M42 1 max -0.014 5 -0.002 5 0 7 0 7 NC 7 NC 7 412 min -0.067 6 -0.008 6 0 4 0 4 NC 4 NC 4 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 21 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 16 Envelope Member Section Deflections - Service (Continued) Member Sec x [in] LC y [in] LC z [in] LC x Rotate [rad] LC (n) L/y' Ratio LC (n) L/z' Ratio LC 413 2 max -0.014 5 -0.001 5 0 7 0 7 NC 7 NC 7 414 min -0.067 6 -0.006 6 0 4 0 4 NC 4 NC 4 415 3 max -0.014 5 -0.001 5 0 7 0 7 NC 7 NC 7 416 min -0.067 6 -0.005 6 0 4 0 4 NC 4 NC 4 417 4 max -0.014 5 -0.001 5 0 7 0 7 NC 7 NC 7 418 min -0.067 6 -0.003 6 0 4 0 4 NC 4 NC 4 419 5 max -0.014 5 0 5 0 7 0 7 NC 7 NC 7 420 min -0.067 6 -0.001 6 0 4 0 4 NC 4 NC 4 421 M71 1 max 0 7 0 7 0 7 0 7 NC 7 NC 7 422 min 0 4 0 4 0 4 0 4 NC 4 NC 4 423 2 max 0 7 0.002 6 0 7 0 7 NC 7 NC 7 424 min 0 4 0 4 0 4 0 4 NC 4 NC 4 425 3 max 0 7 0.003 6 0 7 0 7 NC 7 NC 7 426 min 0 4 0.001 4 0 4 0 4 NC 4 NC 4 427 4 max 0 7 0.005 6 0 7 0 7 NC 7 NC 7 428 min 0 4 0.001 4 0 4 0 4 NC 4 NC 4 429 5 max 0 7 0.007 6 0 7 0 7 NC 7 NC 7 430 min 0 4 0.001 4 0 4 0 4 NC 4 NC 4 431 M75 1 max 0 7 -0.002 5 0 7 0 7 NC 7 NC 7 432 min 0 4 -0.009 6 0 4 0 4 NC 4 NC 4 433 2 max 0 7 -0.002 5 0 7 0 7 NC 7 NC 7 434 min 0 4 -0.011 6 0 4 0 4 NC 4 NC 4 435 3 max 0 7 -0.003 5 0 7 0 7 NC 7 NC 7 436 min 0 4 -0.012 6 0 4 0 4 NC 4 NC 4 437 4 max 0 7 -0.003 5 0 7 0 7 NC 7 NC 7 438 min 0 4 -0.014 6 0 4 0 4 NC 4 NC 4 439 5 max 0 7 -0.003 5 0 7 0 7 NC 7 NC 7 440 min 0 4 -0.016 6 0 4 0 4 NC 4 NC 4 Envelope AISC 15TH (360-16): ASD Member Steel Code Checks Member Shape Code CheckLoc[ft]LCShear CheckLoc[ft]Dir LCPnc/om [k]Pnt/om [k]Mnyy/om [k-ft]Mnzz/om [k-ft] Cb Eqn 1 M1 LL1.25X1.25X2 0.339 0 6 0.026 0 y 6 13.208 17.777 0.819 0.219 1 H1-1b 2 M2 LL1X1X2 0.841 8.25 6 0.002 16.5 y 6 0.167 14.034 0.585 0.157 1 H1-1a 3 M3 RB0.5 0.286 0 6 0.001 1.187 6 2.273 5.879 0.049 0.049 1 H1-1a 4 M5 RB0.5 0.341 0 6 0.001 1.187 6 2.273 5.879 0.049 0.049 1 H1-1a 5 M4 RB0.5 0.583 0 6 0 1.187 6 4.967 5.879 0.049 0.049 1 H1-1a 6 M6 RB0.5 0.824 0 6 0.001 1.187 6 2.273 5.879 0.049 0.049 1 H1-1a 7 M7 RB0.5 0.278 0 6 0.001 1.187 6 2.273 5.879 0.049 0.049 1 H1-1a 8 M8 RB0.5 0.652 0 6 0 1.187 6 2.273 5.879 0.049 0.049 1 H1-1a 9 M9 RB0.5 0.177 0 6 0.001 1.187 6 2.273 5.879 0.049 0.049 1 H1-1b* 10 M10 RB0.5 0.475 1.187 6 0 0 6 2.273 5.879 0.049 0.049 1 H1-1a 11 M11 RB0.5 0.106 0 6 0.001 1.187 6 2.273 5.879 0.049 0.049 1 H1-1b* 12 M12 RB0.5 0.299 1.187 6 0 0 6 2.273 5.879 0.049 0.049 1 H1-1a 13 M13 RB0.5 0.043 0 6 0.001 1.187 6 2.273 5.879 0.049 0.049 1 H1-1b 14 M14 RB0.5 0.101 0 6 0.001 0 6 2.273 5.879 0.049 0.049 1 H1-1b* 15 M15 RB0.5 0.098 1.187 6 0.001 1.187 6 2.273 5.879 0.049 0.049 1 H1-1b* 16 M16 RB0.5 0.043 1.187 6 0.001 0 6 2.273 5.879 0.049 0.049 1 H1-1b 17 M17 RB0.5 0.295 0 6 0 1.187 6 2.273 5.879 0.049 0.049 1 H1-1a 18 M18 RB0.5 0.105 1.187 6 0.001 0 6 2.273 5.879 0.049 0.049 1 H1-1b* 19 M19 RB0.5 0.472 0.124 6 0 1.187 6 2.273 5.879 0.049 0.049 1 H1-1a 20 M20 RB0.5 0.176 1.187 6 0.001 0 6 2.273 5.879 0.049 0.049 1 H1-1b* FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 22 of 27 Company Designer Job Number Model Name : : : : <Licensed Company> Brett Checked By : __________ 11/17/2022 12:01:33 PM RISA-3D Version 20 [ Joist analysis USED FOR CALC.r3d ]Page 17 Envelope AISC 15TH (360-16): ASD Member Steel Code Checks (Continued) Member Shape Code CheckLoc[ft]LCShear CheckLoc[ft]Dir LCPnc/om [k]Pnt/om [k]Mnyy/om [k-ft]Mnzz/om [k-ft] Cb Eqn 21 M21 RB0.5 0.648 1.187 6 0 0 6 2.273 5.879 0.049 0.049 1 H1-1a 22 M22 RB0.5 0.277 1.187 6 0.001 0 6 2.273 5.879 0.049 0.049 1 H1-1a 23 M23 RB0.5 0.821 1.187 6 0.001 0 6 2.273 5.879 0.049 0.049 1 H1-1a 24 M24 RB0.5 0.341 1.187 6 0.001 0 6 2.273 5.879 0.049 0.049 1 H1-1a 25 M26 RB0.5 0.285 1.187 6 0.001 0 6 2.273 5.879 0.049 0.049 1 H1-1a 26 M25 RB0.5 0.587 1.187 6 0 0 6 4.967 5.879 0.049 0.049 1 H1-1a 27 M27 RB0.5 0.358 0 6 0 0 6 1.034 5.879 0.049 0.049 1 H1-1a 28 M28 RB0.5 0.366 0 6 0 0 6 1.034 5.879 0.049 0.049 1 H1-1a 29 M29 C6X8.2 0.406 9.141 6 0.074 19.5 y 6 47.196 71.557 1.948 12.874 1 H1-1a FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 23 of 27 Steel Beam LIC# : KW-06012053, Build:20.22.8.17 Frost Structural Engineering (c) ENERCALC INC 1983-2022 DESCRIPTION:Existing HSS2x2x0.105 Project File: BYUI benson.ec6 Project Title: Engineer: Project ID: Project Descr: CODE REFERENCES Calculations per AISC 360-16, IBC 2018, CBC 2019, ASCE 7-16 Load Combination Set : ASCE 7-16 Material Properties Analysis Method : ksi Bending Axis : Major Axis Bending Beam is Fully Braced against lateral-torsional buckling Allowable Strength Design Fy : Steel Yield : 46.0 ksi Beam Bracing :E: Modulus : 29,000.0 .Service loads entered. Load Factors will be applied for calculations.Applied Loads Beam self weight NOT internally calculated and added Load for Span Number 1 Uniform Load : D = 0.0150, L = 0.0380 ksf, Tributary Width = 2.670 ft Load for Span Number 2 Uniform Load : D = 0.0150, L = 0.0380 ksf, Tributary Width = 2.670 ft .Design OKDESIGN SUMMARY Maximum Bending Stress Ratio =0.475 : 1 Load Combination +D+L Span # where maximum occurs Span # 1 0.5307 k Mn / Omega : Allowable 1.341k-ft Vn/Omega : Allowable HSS2x2x1/8Section used for this span Span # where maximum occurs Location of maximum on span Span # 1 Load Combination +D+L 6.334 k Section used for this span HSS2x2x1/8 Ma : Applied Maximum Shear Stress Ratio =0.084 : 1 6.000 ft 0.637k-ft Va : Applied 0 <360.0 587 Ratio =0 <240.0 Maximum Deflection Max Downward Transient Deflection 0.088 in 818Ratio = >=360. Max Upward Transient Deflection 0.000 in Ratio = Max Downward Total Deflection 0.123 in Ratio = >=240. Max Upward Total Deflection 0.000 in Span: 2 : L Only Span: 2 : +D+L .Maximum Forces & Stresses for Load Combinations Span # Summary of Moment ValuesLoad Combination Summary of Shear ValuesMax Stress Ratios M V Mmax -Mmax +Rm VnxMa Max Mnx/Omega Cb Va MaxMnx Vnx/OmegaSegment Length D Only Dsgn. L = 6.00 ft 1 0.134 0.024 0.10 -0.18 0.18 2.24 1.34 1.00 1.00 0.15 10.58 6.33 Dsgn. L = 6.00 ft 2 0.134 0.024 0.10 -0.18 0.18 2.24 1.34 1.00 1.00 0.15 10.58 6.33 +D+L Dsgn. L = 6.00 ft 1 0.475 0.084 0.36 -0.64 0.64 2.24 1.34 1.00 1.00 0.53 10.58 6.33 Dsgn. L = 6.00 ft 2 0.475 0.084 0.36 -0.64 0.64 2.24 1.34 1.00 1.00 0.53 10.58 6.33 +D+0.750L Dsgn. L = 6.00 ft 1 0.390 0.069 0.29 -0.52 0.52 2.24 1.34 1.00 1.00 0.44 10.58 6.33 Dsgn. L = 6.00 ft 2 0.390 0.069 0.29 -0.52 0.52 2.24 1.34 1.00 1.00 0.44 10.58 6.33 +0.60D Dsgn. L = 6.00 ft 1 0.081 0.014 0.06 -0.11 0.11 2.24 1.34 1.00 1.00 0.09 10.58 6.33 Dsgn. L = 6.00 ft 2 0.081 0.014 0.06 -0.11 0.11 2.24 1.34 1.00 1.00 0.09 10.58 6.33 .Overall Maximum Deflections +D+L 1 0.1227 2.544 0.000 +D+L 2 0.1218 3.480 0.000 . FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 24 of 27 Steel Beam LIC# : KW-06012053, Build:20.22.8.17 Frost Structural Engineering (c) ENERCALC INC 1983-2022 DESCRIPTION:Existing HSS2x2x0.105 Project File: BYUI benson.ec6 Project Title: Engineer: Project ID: Project Descr: Load Combination Support 1 Support 2 Support 3 Vertical Reactions Support notation : Far left is #1 Values in KIPS Overall MAXimum 0.318 1.061 0.318 Overall MINimum 0.054 0.180 0.054 D Only 0.090 0.300 0.090 +D+L 0.318 1.061 0.318 +D+0.750L 0.261 0.871 0.261 +0.60D 0.054 0.180 0.054 L Only 0.228 0.761 0.228 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 25 of 27 Steel Beam LIC# : KW-06012053, Build:20.22.8.17 Frost Structural Engineering (c) ENERCALC INC 1983-2022 DESCRIPTION:L2X2 Project File: BYUI benson.ec6 Project Title: Engineer: Project ID: Project Descr: CODE REFERENCES Calculations per AISC 360-16, IBC 2018, CBC 2019, ASCE 7-16 Load Combination Set : ASCE 7-16 Material Properties Analysis Method : ksi Bending Axis : Major Axis Bending Beam is Fully Braced against lateral-torsional buckling Allowable Strength Design Fy : Steel Yield : 36.0 ksi Beam Bracing :E: Modulus : 29,000.0 Vertical Leg Up .Service loads entered. Load Factors will be applied for calculations.Applied Loads Beam self weight NOT internally calculated and added Uniform Load : D = 0.0070, S = 0.0180 k/ft, Tributary Width = 1.0 ft .Design OKDESIGN SUMMARY Maximum Bending Stress Ratio =0.333 : 1 Load Combination +D+S Span # where maximum occurs Span # 1 0.0750 k Mn / Omega : Allowable 0.338k-ft Vn/Omega : Allowable L2x2x1/8Section used for this span Span # where maximum occurs Location of maximum on span Span # 1 Load Combination +D+S 3.234 k Section used for this span L2x2x1/8 Ma : Applied Maximum Shear Stress Ratio =0.023 : 1 0.000 ft 0.113k-ft Va : Applied 0 <360 539 Ratio =0 <180 Maximum Deflection Max Downward Transient Deflection 0.096 in 748Ratio = >=360 Max Upward Transient Deflection 0.000 in Ratio = Max Downward Total Deflection 0.134 in Ratio = >=180 Max Upward Total Deflection 0.000 in Span: 1 : S Only Span: 1 : +D+S .Maximum Forces & Stresses for Load Combinations Span # Summary of Moment ValuesLoad Combination Summary of Shear ValuesMax Stress Ratios M V Mmax -Mmax +Rm VnxMa Max Mnx/Omega Cb Va MaxMnx Vnx/OmegaSegment Length D Only Dsgn. L = 6.00 ft 1 0.093 0.006 0.03 0.03 0.56 0.34 1.00 1.00 0.02 5.40 3.23 +D+S Dsgn. L = 6.00 ft 1 0.333 0.023 0.11 0.11 0.56 0.34 1.00 1.00 0.08 5.40 3.23 +D+0.750S Dsgn. L = 6.00 ft 1 0.273 0.019 0.09 0.09 0.56 0.34 1.00 1.00 0.06 5.40 3.23 +0.60D Dsgn. L = 6.00 ft 1 0.056 0.004 0.02 0.02 0.56 0.34 1.00 1.00 0.01 5.40 3.23 . Location in SpanLoad CombinationMax. "-" Defl Location in SpanLoad Combination Span Max. "+" Defl Overall Maximum Deflections +D+S 1 0.1336 3.017 0.0000 0.000 . Load Combination Support 1 Support 2 Vertical Reactions Support notation : Far left is #1 Values in KIPS Overall MAXimum 0.075 0.075 0.228 Overall MINimum 0.013 0.013 0.228 D Only 0.021 0.021 0.228 +D+S 0.075 0.075 0.228 +D+0.750S 0.062 0.062 0.228 +0.60D 0.013 0.013 0.228 S Only 0.054 0.054 0.228 FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 26 of 27 Structural Engineer: Rami Elhassan California SE No. 3930 www.unistrutseismic.com 16100 S. Lathrop Ave Harvey, IL 60426 Toll-Free: (800) 882-5543Unistrut Rod Stiffeners Page: 6d.3 Maximum Horizontal FP Force (lbs.) ASD 3 /8 (in.) Max Total (ft.) Lateral Brace Angle (Deg.) 0° + 5°/- 0° (Horizontal) 30° + 5°/- 25°45° + 5°/- 10°60° + 0°/- 10° 9 7.4 Brace Capacity Governs (See Section 3 for Maximum Horizontal FP Force for Brace) 1,164 684 471 12 9.8 685 402 277 15 12.2 438 258 177 18 14.7 304 179 123 21 15.0 224 131 90 24 15.0 171 101 69 27 15.0 135 79 55 30 15.0 110 64 44 Maximum Horizontal FP Force (lbs.) ASD 1 /2 (in.) Max Total (ft.) Lateral Brace Angle (Deg.) 0° + 5°/- 0° (Horizontal) 30° + 5°/- 25°45° + 5°/- 10°60° + 0°/- 10° 9 5.5 Brace Capacity Governs (See Section 3 for Maximum Horizontal FP Force for Brace) 2,953 1,735 1,194 12 6.6 2,176 1,279 880 15 8.2 1,472 865 595 18 9.8 1,022 601 413 21 11.4 751 441 304 24 13.0 575 338 233 30 16.3 368 216 149 30 19.6 256 150 103 30 20.0 245 144 99 Maximum Horizontal FP Force (lbs.) ASD 5 /8 (in.) Max Total (ft.) Lateral Brace Angle (Deg.) 0° + 5°/- 0° (Horizontal) 30° + 5°/- 25°45° + 5°/- 10°60° + 0°/- 10° 15 6.1 Brace Capacity Governs (See Section 3 for Maximum Horizontal FP Force for Brace) 3,516 2,066 1,422 18 7.2 2,599 1,527 1,051 24 9.6 1,462 859 591 30 11.9 936 550 378 30 14.3 650 382 263 30 19.1 365 215 148 30 20.0 333 196 135 02/27/2020 OPM-0295-13: Reviewed for Code Compliance by Jeffrey Kikumoto Jeffrey Y.Kikumoto OPM-0295-13 03/02/2020 LOAD IN WEB MEMBERS M4 AND M25 IS 2838# AND 2860# WHICH IS < 2953....OKAY FROST Structural Engineering Project Name:Project No. : Eng. : Date : Sheet : BFB FSEIF22-175BYU-I Benson Headhouse Roof 11/17/2022 27 of 27