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Design Calculations
DE E V F SEP 2 2 2020 TOWNBUILDING Y NG&CODES Design Calculations CFMF Mezzanine and Stairway Analysis of Critical Conditions Cover Sheet September 22, 2020 Project Name: Office/Warehouse Mezzanine & Stairway Carey Road Queensbury,NY �OSOF NEWYO 9 pAULBE 'Qf' . Prepared By: Mark P.Bergeron,PE 62 Van Vranken Road Clifton Park,NY 12065 Fp 06770 A�FEsstOi��' Page 1 9-22=20 Mezzanine Design Criteria: Live Load: 50 psf Dead Load: 10 psf From Sheet F 1: Typical CFMF Joist Span: 21.8' Joist End reaction: 21.8(60)(1.33)= 1,740 lbs. 1000S162-97 @ 16" O.C. Utilized: From p. 49 of SSMA: Allow. Span is 22.33' >21.8' OK Check Axial Load Capacity of Stud: 600SI62-54 @ 16" O.C. Utilized: From p. 32 of SSMA: Allow. Load is 5,520 lbs.> 1,740 lbs. OK Stairway Design Criteria:A36 Steel Live Load: 100 psf Dead Load: 50 psf Total Load: 150 psf Concentrated Load: 300 lb Allowable bending stress for channels: 22 ksi Deflection Limit: L/360 Hand Rails: 50 plf, 200 lb Concentrated Top Rails: 50 plf, 200 lb Concentrated Infil Rails: 25 plf, 50 lb Concentrated From Sheet F2: Stairway stringers are MCI x 14.3 channel. MCI 2 x 14.3: Ixx=76.1 in Sxx= 12.7 in From Sheet F2 (Sect D): Critical stairway stringer span is approx. (14'-11"+3'-955)= 18'-811 . Uniform Load on Channel: 2'(150 psf)=300 plf. Moment: w12/8=300(18.67)2/8= 13,071 ft-lbs= 156.9 in-kips Sxx Req'd. =M/22 ksi = 156.9/22=7.13 in < 12.7 in OK MC12 x 14.3 is satisfactory for all stringers. Check Stringer Deflection: 5wl4/384EI=5(.025)(224)4/384(29,000)(76.1)=0.37 in. OK Page 2 Typical Platform Support is C8 x 11.5 channel. C8 x 11.5: Ixx=32.6 in Sxx=8.14 in From sheet ME1: Critical platform span is approximately 3'-9". Critical Uniform Load on Channel: 150 plf Moment: w12/8= 150(3.75)2/8 =264 ft-lbs=3.16 in-kip Sxx Req'd. =M/22 ksi=3.16/22= 0.141 in < 8.14 in OK All guardrails, handrails and posts are 1 1/4" schedule 40 pipe. I=0.195 in4 S=0.235 in Critical Guardrail Condition is at Top of Post: 200 lb load Moment at End: =P1=200(3.5')=700 ft-lbs= 8.4 in-kips Max. Stress at Base=M/Sxx=8.4/0.235=35.7 ksi 10 1Dead Loadand 50 psf LiveLoad 1-1360 Live Load Deflection U480 Live Load Deflection Fy Single Span Double Span Single Span Double Span Section (ksi) Spacing(in)on center Spacing(in)on center Spacing(in)on center Spacing(in)on center 12 16 24 12 16 24 12 16 24 12 16 24 600S162-33 33 10'3"e 8'11"e 7'3"e 10'1" 8'5"e 6'Ye 10'3"e 8'11"e 7'3"e 10'1" 8'S"e 6'S"e 600S200-33 33 10'11"e 9'6"e 7'9"e 10'5" 8'8°e 6'7"e 10'11"e 9'6"e 7'9"e 10'5" 8'8"e 6'7°e 6005162-43 33 12'8" 11'0"e 9'0°e 12'8" 11'0" 8110, 11'6" 10'S"e 9'0"e 12'8" 11'0" 8'10" 600S200-43 33 13'1" 11'4"e 9'Ye 13'1" 11'4"' 9'0"e 12'1' 11'0"e 9'3"e 13'1" 11'4° 9'0"e 600S250-43 33 13'5°e 11'7"e 9'Fe 13'5" 11'7" 9'2°e 12'8" 11'6"e 9'6"e 13'5" -11'7' 9'2"e 600S162-54 50 13'7" 12'4" 10'9" 15'3" 13'10" 12'0" 12'4" 11'2" 919. 13'10"- 12'7' 11'0' 600S200-54 50 14'3° 13'0" 11'4° 16'0" 14'7" 12'2" ITT 11'9" 10'3" 14'7" 13'3" 11'7" 600S250-54 50 14'11" 13'7" 11'10" 16'9" 15'3" 12'6" ITT 12'4" 10-9- 15'3" 13'10" 12'1 600S162-68 50 14'7" 13'3" 11'7" 16'4° 14'10" 13'0" 13'3" 12'0" 10'6' 14'10" 13'6" ill 9" 600S200-68 50 15'4" 13'11" 12'2" 17'2" 15'7" 13'8" 13'11" 12'8" 11'0° 15'7" 14'2" 12'5" 600S250-68 50 16'1" 14'7" 12'9' 1810, 16'4" 14'4" 14'7" 13'3" 11'7' 16'4" 14'10" ITT 6008162-97 50 16'2" 14'8" 12'10" 18'1" 16'5" 14'4° 14'8" 13'4" 11'8" 16'5" 14'11" 13'1° 600S200-97 50 17'0" 15'5" 13'6" 19'1" 17'4" 15'2" 15'5' 14'0' 12'3' 17'4" 15'9" 13'9" 600S250-97 50 17'10" 16'3" 14'2° 20'0° 18'2" 15'11" 16'3° 14'9" 12'10" 18'2" 16'6' 14'5' 6005162-118 50 17'0" 15'6" 13'6" 19'1" 17'4" 15'2" 15'6" 14'1" 12'3" 17'4" 15'9' 13'9' 600S200-118 50 18'0" 16'4" 14'3' 20'2" 18'4" 16'0" 16'4" 14'10" 13'O" 18'4" 16'8" 14'7" 600S250-118 50 18'11° ITT 1510, 21'3" 19'3" WIT ITT 15'7" 13'7" 19'3" 17'6' 15'4" 800S162-33 33 11'10"e 10'Ye 7'11°e 9'10"e 8'0"e 5'9"e 11'10"e 10'3"e 7'11"e 9'10"e 8'O"e 5'9"e BOOS200-33 33 12'8"e 11'0"e 7'11°e 10'3'e 8'2"e 5'10'e 12'8°e 11'0"e 7'11"e 10'3"e 8'2°e 5'10°e BOOS162-43 33 14'3"e 12'4"e 10'1"e 13'11' 1119, 9'2"e 14'Ye 12'4"e 10'1°e 13'11" 11'9" 9'2"e BOOS200-43 33 15'3"e 13'Ye 10'10"e 15'3" 12'11"e 10'0°e 15'2"e 13'3"e 10'10"e 15'3" 12'11"e 10'0"e BOOS250-43 33 15'8"e 13'7"e 11'1°e 15'6" 13'0°e 10'0°e 15'8"e 13'7"e 11'1'e 15'6' 13'0°e 10'0"e 8005162-54 50 17'1" 15'6" 13'6" 19'1" 16'6" 13'Y 15'7" 14'1" 12'4° 17'5" 15'10' 13'5' 800S200-54 50 17'11" 16'3" 14'3" 20'1" 17'8" 14'5" 16'3" 14'9" 12'11" 18'3" 16'7' 14'5" 800S250-54 50 18'8" 17'0" 14'9"e 20'10" 18'1" 14'8' 17'O' 15'5" 13'6' 19'1" 17'4" 14'8' MOS162-68 50 18'4° 16'8" 14'7" 20'7" 18'9" 15'10" 16'8" 15'2" 13'3" 18'9' 17'0" 14'10' 800S200-68 50 19'3" 17'6" 15'3" 21'7" 19'7" 17'2" 17'6". 15'11" 13'10" ITT 17'10" 15'7" 800S250-68 50 20'1" 18'3" 15'11" 22'7" 20'6° 17'3" 18'3° 16'7" ITT 20'6" 18'7" 16'3" 8OOS162-97 50 20'5" 18'6" 16'2" 22'11° 20'10" 18'2' 18'6" 16'10" 14'9' 20'10" 18'11' 16'6" 800S200-97 50 21'5" 19'5" 17'0" 24'0" 21'10" 19'1" 19'S" 17'8" 15'5" 21'10" 19'10" 17'4" 800S250-97 50 22'4° 20'4" ITT 25'1° 22'10" 19'11" 20'4" 18'S" 16'1' 22'10° 20'9" 18'1" 800S162-118 50 21'7" ITT 17'2" 24'3" 22'0" 19'3" 19'7° 17'10' 10' 22'0" 20'0" 17'6" 800S200-118 50 22'8" 20'7" 18'0" 25'5" 23'1" 20'2" 20'7" 18'8" 16'4" 23'1" 21'0" 18'4" 800S250-118 50 23'8" 21'6" 18'10" 26'7" 24'2" 21'2" 21'6" 19'7° 17'1' 24'2" 22'0" 19'2° 1000S162-43 33 15'10"e 13'8"e 11'2'e 14'8"e 12'2"e 9'1"e 15'10"e 13'8"e 11'2'e 14'8"e 12'2'e 9'1"e 1000S200-43 33 17'1°e 14'9"e 12'1°e 15'4"e 12'7"e 9'4'e 17'1"e 14'9"e 12'1"e 15'4"e 12'7"e 9'4"e 1000S250-43 33 17'6"e 15'2"e 12'5"e 15'10°e 13'0"e 9'7°e 17'6"e 15'2"e 12'S°e 15'10"e 13'0'e 9'7"e 10005162-54 50 20'4" 18'4" 15'0"e 21'2" 18'2" 14'2" 18'6" 16'16" 14'7"e 20'8" 18'2" 14'2" 1000S200-54 50 21'3" 19'3" 16'1°e 22'2" 18'9' 14'7" 19'4" ITT 15'3"e 21'8° 18'9" 14'7" 1000S250-54 50 22'4" 20'3" 16'6"e _ 23'1" 19'6" 15'1" 20'3" 18'5" 16'1°e 22'9" 19'6" 1511, 1000S162-68 50 22'1" 20'0" 17'5" 24'8" 21'8" 17'8" 20'1" 18'3" 15'11" 22'6" 20'5" 17'8" 1000S200-68 50 23'0" 20'11" 18'3" 25'9' 23'2" 18'11" 20'11" 19'0" 16'7" 23'6" 21'4" 18'7" 1000S250-68 50 24'0" 21'9" 19'0" 26'11" 23'10" 19'S" 21'9" 19'9" 17'3" 24'S" 22'3" 19'5" 1000S162-97 50 24'7" 22 4 19'6° 27'7" 25'1" 21'11" 22'4" 20'3" 17'9" 25'1" 22'9" 19'11" 1000S200-97 50 25'8" 23'4" 20'4" 28'10" 26'2" 22'10° 23'4" 21'2" 18'6" 26'2" 23'9" 20'9" 1000S250-97 50 26'9" 24'3" 21'2° 30'0" 27'3" 23'10° 24'3" 22'1" 19'3" 27'3" 24'9" 21'8" 10005162-118 50 26'0' 23'8" 20'8 29'3" 20" 23'2' 23'8" 21'6" 18'9" 26'7" 24'1" 21'1" 1000S200-118 50 27'3" 24'9" 21'7° 30'7" 27'9" 24'3" 24'9" 22'6' 19'7" 27'9' 25'3" 22'0° 1000S250-118 50 28'4" 25'9" 22'6" 31'10" 28'11" 25'3" 25'9° 23'5" 20'5" 28'11" 26'3" 22'11" "e"web stiffeners required at ends. Web stiffeners required at interior supports for double span conditions. See Table Notes on page 42. Complies With 2009 and 2012 IBC www.SSMA.com A v �,_ Y 4 49 Mum- Psf Lateral Load(interior Walls) 600S137 600S162 60OS200 Wall Spacing Height(ft) (in)oc. 33 ksi 50 ksi 33 ksi 50 ksi 33 ksi 50 ksi 33 43 54 68 97 33 43 54 68 97 33 43 54 68 97 12 1.77 2.51 3.81 5.05 7.54 2.42 3.40 5.61 7.45 11.39 2.86 4.31 7.46 9.97 15.65 8 16 1.73 2.47 3.78 5.02 7.52 2.37 3.35 5.57 7.41 11.35 2.81 4.26 7.41 9.93 15.60 24 1.65 2.39 3.72 4.96 7.46 2.28 3.27 5.49 7.33 11.28 2.72 4.16 7.31 9.83 15.51 12 1.74 2.47 3.78 5.02 7.52 2.38 3.36 5.57 7.41 11.35 2.80 4.23 7.31 9.79 15.39 9 16 1.69 2.43 3.74 4.98 7.48 2.32 3.30 5.5 7.36 11.31 2.74 4.16 7.25 9.73 15.33 24 1.59 2.33 3.66 4.90 7.41 2.20 3.19 5.42 7.26 11.21 2.62 4.03 7.12 9.61 15.20 12 1.70 2.44 3.75 4.99 7.49 2.33 3.31 5.53 7.37 11.31 2.73 4.13 7.14 9.58 15.07 10 16 1.63 2.37 3.70 4.94 7.44 2.25 3.24 5.46 7.30 11.25 2.65 4.05 7.05 9.50 14.99 24 1.51 2.25 3.59 4.83 7.36 2.10 3.11 5.33 7.17 11.12 2.50 3.88 6.89 9.35 14.83 12 1.60 2.34 3.66 4.90 7.41 2.17 3.15 5.35 7.25 11.19 2.55 3.88 6.67 9.00 14.21 12 16 1.51 2.25 3.59 4.82 7.34 2.06 3.05 5.25 7.15 11.09 2.44 3.76 6.55 8.89 14.09 24 1.33 2.07 3.43 4.67 7.21 1.85 2.85 5.05 6.95 10.89 2.22 3.53 6.31 8.66 13.85 12 1.48 2.22 3.55 4.79 7.31 1.95 2.91 4.93 6.77 10.96 2.32 3.56 6.07 8.26 13.08 14 16 1.36 2.09 3.44 4.67 7.20 1.81 2.78 4.80 6.63 10.80 2.17 3.40 5.91 8.10 12.91 24 1.11 1.85 3.21 4.45 7.00 1.54 2.51 4.53 6.35 10.49 1.89 3.09 5.59 7.79 12.58 12 1.34 2.07 3.40 4.63 7.15 1.71 2.62 4.41 6.10 9.89 2.05 3.18 5.38 7.38 11.74 16 16 1.18 1.90 3.24 4.46 7.00 1.53 2.45 4.24 5.91 9.68 1.87 2.98 5.18 7.17 11.52 24 0.87 3 1.59 1 2.95 4.16 6.71 1 1.204 2.12 1 3.91 5.57 9.28 1 1.52 2.61 1 4.79 6.79 11.09 Load(interior Walls) BOOS137 BOOS162 80OS200 Wall Spacing Height (in)oc 33 ksi 50 ksi 33 ksi 50 ksi 33 ksi 50 ksi M 43 54 68 97 43 54 68 97 118 43 54 68 97 118 12 2.43 3.57 4.74 7.21 3.35 5.43 7.25 11.25 14.30 4.47 7.74 10.29 15.98 20.46 8 16 2.40 3.55 4.72 7.19 3.32 5.40 7.22 11.23 14.28 4.44 7.71 10.25 15.95 20.43 24 2.35 3.50 4.68 7.16 3.26 5.35 7.16 11.17 14.23 4.36 7.64 10.19 15.88 20.37 12 2.40 3.55 4.73 7.20 3.33 5.41 7.22 11.23 14.28 4.44 7.71 10.26 15.95 20.43 9 16 2.37 3.52 4.70 7.17 3.29 5.37 7.19 11.20 14.25 4.39 7.67 10.21 15.91 20.39 24 2.30 3.47 4.65 7.12 3.21 5.30 7.12 11.13 14.19 4.30 7.57 10.13 15.83 20.31 12 2.38 3.53 4.71 7.18 3.30 5.38 7.19 11.20 14.26 4.41 7.68 10.22 15.92 20.40 10 16 2.34 3.49 4.67 7.15 3.25 5.33 7.15 11.16 14.22 4.35 7.62 10.17 15.87 20.35 24 2.26 3.43 4.61 7.09 3.15 5.24 7.06 11.07 14.14 4.23 7.50 10.06 15.76 20.25 12 2.32 3.48 4.66 7.13 3.22 5.31 7.13 11.14 14.20 4.32 7.59 10.14 15.84 20.32 12 16 2.26 3.43 4.61 7.09 3.15 5.24 7.06 11.07 14.14 4.23 7.50 10.06 15.76 20.24 24 2.14 3.33 4.51 7.00 3.00 5.11 6.93 10.94 14.03 4.06 7.32 9.90 15.60 20.08 12 2.25 3.42 4.60 7.08 3.13 5.22 7.04 11.05 14.12 4.16 7.36 9.96 15.72 20.20 14 16 2.16 3.35 4.53 7.01 3.03 5.13 6.94 10.95 14.03 4.04 7.24 9.84 15.61 20.09 24 2.00 3.21 4.40 6.88 2.83 4.94 6.76 10.76 13.87 3.80 6.99 9.61 15.38 19.86 12 2.16 3.34 4.52 7.00 3.02 5.11 6.93 10.93 14.01 3.93 6.95 9.45 15.15 19.78 16 16 2.05 3.25 4.43 6.91 2.89 4.98 6.80 10.80 13.89 3.77 6.78 9.30 15.00 19.62 24 1 1.83 1 3.06 4.25 6.74 1 2.62 1 4.72 6.54 10.53 13.66 1 3.46 1 6.46 9.00 14.68 19.29 Load 35OS162 362S137 362S162 362S200 Wall Spacing Height (in)oc 33 ksi 50 ksi 33 ksi 50 ksi 33 ksi 50 ksi 33 ksi 50 ksi (ft) 33 43 54 68 33 43 1 54 68 33 43 54 68 33 43 54 68 12 1.37 2.10 3.56 4.66 1.09 1.72 2.95 3.98 1.44 2.20 3.74 4.96 1.77 2.79 4.71 6.22 8 16 1.16 1.89 3.36 4.46 0.91 1.53 2.77 3.80 1.23 1.99 3.55 4.76 1.55 2.56 4.49 6.01 24 0.78 1.49 2.99 4.08 0.56 4 1.16 2.43 3.44 0.85 1.59 3.17 4.38 1.13 2.13 4.06 5.58 12 1.13 1.82 3.14 4.16 0.90 1.49 2.64 3.59 1.21 1.93 3.35 4.47 1.51 2.47 4.21 5.60 9 16 0.90 1.57 2.91 3.92 0.68 1.26 2.43 3.37 0.97 1.68 3.12 4.23 1.25 2.19 3.94 5.34 24 0.46 3 1.114 2.48 3.48 0.281 0.83 4 2.03 2.94 0.53 3 1.21 2.68 3.77 0.77 4 1.68 3.44 4.84 12 0.90 1.53 2.71 3.63 0.704 1.25 2.31 3.16 0.97 1.64 2.94 3.94 1.25 2.13 3.69 4.95 10 16 0.64 3 1.25 2.45 3.37 0.46 3 0.994 2.07 2.91 0.714 1.36 2.67 3.66 0.95 1.82 3.38 4.65 24 0.171 0.743 1.99 4 2.88 - 0.513 1.62 3 2.44 4 0.23 3 0.84 3 2.181 3.15 0.42 3 1.25 4 2.83 4.09 12 0.47 3 0.98 3 1.904 2.62 0.331 0.78 3 1.63 4 2.30 0.53 3 1.08 4 2.10 2.88 0.743 1.46 2.65 3.66 12 16 0.182 0.673 1.623 2.334 - 0.483 1.363 2.024 0.242 0.763 1.813 2.584 0.413 1.113 2.324 3.32 24 - 0.132 1.132 1.813 - 0.892 1.513 - 0.202 1.293 2.033 - 0.493 1.733 2.723 12 0.132 0.532 1.273 1.833 0.382 1.083 1.603 0.182 0.613 1.423 2.033 0.322 0.903 1.823 2.614 14 16 - 0.222 1.002 1.543 - 0.822 1.313 0.292 1.142 1.733 - 0.542 1.493 2.283 24 - 0.531 1.041 0.351 0.821 - 0.641 1.192 - 0.92 2 1.691 12 0.201 0.82 2 1.26 3 0.6 8 2 1,071 0.26 2 0.931 1.413 0.46 2 1.22 3 1.851 16 16 - 0.571 0.98 2 0.421 0.80 2 - 0.661 1.12 2 0.121 0.912 1.532 24 - 0.131 0.511 - 0.341 0.191 0.621 - 0.381 0.971 If no note,deflection meets 41720 'Deflection meets 4WO 'Deflection meets 41240 'Deflection meets 41360 °Deflection meets L1600 See Table Notes on page 31. 32 www.SSMA.com Copyright©2014 by the SSMA